% Mizar problem: t58_rltopsp1,rltopsp1,2342,52 
fof(t58_rltopsp1,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v6_rltopsp1(A)
        & v7_rltopsp1(A)
        & l1_rltopsp1(A) )
     => ! [B] : 
          ( ( v6_compts_1(B,A)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
         => ! [C] : 
              ( ( v4_pre_topc(C,A)
                & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
             => ~ ( r1_xboole_0(B,C)
                  & ! [D] : 
                      ( m1_connsp_2(D,A,k1_rlvect_1(A))
                     => ~ r1_xboole_0(k7_rusub_4(A,B,D),k7_rusub_4(A,C,D)) ) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[antisymmetry_r2_hidden,cc1_borsuk_3,cc1_finseq_1,cc1_partfun1,cc1_relset_1,cc1_topgrp_1,cc1_tops_1,cc2_tops_1,cc3_tops_1,cc4_tops_1,cc5_tops_1,cc6_tops_1,commutativity_k2_tarski,commutativity_k3_setfam_1,commutativity_k3_xboole_0,commutativity_k4_rlvect_1,commutativity_k7_rusub_4,d10_rlvect_1,d10_rusub_4,d1_compts_1,d1_connsp_2,d1_funct_2,d1_setfam_1,d1_tarski,d1_tops_2,d1_xboole_0,d2_rlvect_1,d3_pre_topc,d3_rlvect_1,d3_tarski,d4_tarski,d5_eqrel_1,d5_funct_1,d5_setfam_1,d5_tarski,d6_rlvect_1,d7_compts_1,d7_xboole_0,d9_rusub_4,dt_k10_relat_1,dt_k1_domain_1,dt_k1_funct_1,dt_k1_relat_1,dt_k1_rlvect_1,dt_k1_setfam_1,dt_k1_tarski,dt_k1_tops_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_pre_topc,dt_k2_relat_1,dt_k2_rlvect_1,dt_k2_tarski,dt_k2_zfmisc_1,dt_k3_funct_2,dt_k3_setfam_1,dt_k3_subset_1,dt_k3_tarski,dt_k3_xboole_0,dt_k4_relset_1,dt_k4_rlvect_1,dt_k4_tarski,dt_k5_rlvect_1,dt_k5_rusub_4,dt_k5_setfam_1,dt_k6_eqrel_1,dt_k6_rusub_4,dt_k6_setfam_1,dt_k7_eqrel_1,dt_k7_rusub_4,dt_k8_eqrel_1,dt_k8_funct_2,dt_l1_pre_topc,dt_l1_rltopsp1,dt_l1_rlvect_1,dt_l1_struct_0,dt_l2_rlvect_1,dt_l2_struct_0,dt_m1_connsp_2,dt_m1_eqrel_1,dt_m1_relset_1,dt_m1_subset_1,dt_m2_relset_1,dt_u1_rlvect_1,dt_u1_struct_0,dt_u2_struct_0,existence_l1_pre_topc,existence_l1_rltopsp1,existence_l1_rlvect_1,existence_l1_struct_0,existence_l2_rlvect_1,existence_l2_struct_0,existence_m1_connsp_2,existence_m1_eqrel_1,existence_m1_relset_1,existence_m1_subset_1,existence_m2_relset_1,fc10_rltopsp1,fc10_tops_1,fc11_finseq_1,fc11_tops_1,fc17_finseq_1,fc18_finseq_1,fc1_borsuk_3,fc1_filter_1,fc1_struct_0,fc1_subset_1,fc2_borsuk_3,fc2_finseq_1,fc2_pre_topc,fc2_subset_1,fc3_subset_1,fc3_tops_1,fc4_subset_1,fc4_tops_1,fc5_pre_topc,fc6_tops_1,fc8_rltopsp1,fc8_tops_1,fc9_rltopsp1,fc9_tops_1,fraenkel_a_2_3_rltopsp1,fraenkel_a_3_1_rusub_4,fraenkel_a_3_21_rltopsp1,fraenkel_a_3_22_rltopsp1,fraenkel_a_3_23_rltopsp1,fraenkel_a_3_24_rltopsp1,fraenkel_a_3_25_rltopsp1,fraenkel_a_3_26_rltopsp1,fraenkel_a_3_7_rusub_4,fraenkel_a_4_6_rltopsp1,fraenkel_a_4_7_rltopsp1,idempotence_k3_xboole_0,involutiveness_k3_subset_1,l5_rltopsp1,rc1_finseq_1,rc1_partfun1,rc1_subset_1,rc1_tops_1,rc2_borsuk_3,rc2_partfun1,rc2_subset_1,rc2_tops_1,rc3_finseq_1,rc3_rltopsp1,rc3_rlvect_1,rc3_struct_0,rc3_topgrp_1,rc3_tops_1,rc4_struct_0,rc4_topgrp_1,rc4_tops_1,rc5_struct_0,rc5_tops_1,rc6_finseq_1,rc6_pre_topc,rc7_finseq_1,rc7_pre_topc,rc8_finseq_1,redefinition_k1_domain_1,redefinition_k3_funct_2,redefinition_k4_relset_1,redefinition_k4_rlvect_1,redefinition_k5_setfam_1,redefinition_k6_setfam_1,redefinition_k7_rusub_4,redefinition_k8_eqrel_1,redefinition_k8_funct_2,redefinition_m2_relset_1,reflexivity_r1_tarski,s1_eqrel_1__e8_109_1_2__rltopsp1,s1_funct_2__e35_109_1_2__rltopsp1,symmetry_r1_xboole_0,t10_rlvect_1,t10_subset_1,t11_rltopsp1,t12_funct_1,t13_finset_1,t16_rlvect_1,t1_subset,t1_xboole_1,t21_topgrp_1,t26_rltopsp1,t27_eqrel_1,t27_finset_1,t27_tops_2,t28_eqrel_1,t28_wellord2,t2_boole,t2_rltopsp1,t2_subset,t2_tarski,t31_eqrel_1,t31_zfmisc_1,t33_zfmisc_1,t36_convex1,t36_setfam_1,t3_rltopsp1,t3_subset,t3_xboole_0,t40_convex1,t43_subset_1,t44_tops_1,t4_subset,t55_tops_1,t57_rltopsp1,t5_connsp_2,t5_rltopsp1,t5_subset,t63_xboole_1,t65_xboole_1,t6_boole,t6_connsp_2,t6_rltopsp1,t7_boole,t7_rltopsp1,t8_boole,t8_rltopsp1]),
    [file(rltopsp1,t58_rltopsp1)]).

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

fof(cc1_borsuk_3,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ( ( v3_struct_0(A)
          & v2_pre_topc(A) )
       => ( v2_pre_topc(A)
          & v2_compts_1(A) ) ) ) ),
    file(borsuk_3,cc1_borsuk_3),
    []).

fof(cc1_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finset_1(A) ) ) ),
    file(finseq_1,cc1_finseq_1),
    []).

fof(cc1_partfun1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v3_relat_2(A)
        & v8_relat_2(A) )
     => ( v1_relat_1(A)
        & v1_relat_2(A) ) ) ),
    file(partfun1,cc1_partfun1),
    []).

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(cc1_topgrp_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => ! [C] : 
          ( m1_connsp_2(C,A,B)
         => ~ v1_xboole_0(C) ) ) ),
    file(topgrp_1,cc1_topgrp_1),
    []).

fof(cc1_tops_1,axiom,(
    ! [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),
    []).

fof(cc2_tops_1,axiom,(
    ! [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),
    []).

fof(cc3_tops_1,axiom,(
    ! [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),
    []).

fof(cc4_tops_1,axiom,(
    ! [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),
    []).

fof(cc5_tops_1,axiom,(
    ! [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),
    []).

fof(cc6_tops_1,axiom,(
    ! [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),
    []).

fof(commutativity_k2_tarski,axiom,(
    ! [A,B] : k2_tarski(A,B) = k2_tarski(B,A) ),
    file(tarski,k2_tarski),
    []).

fof(commutativity_k3_setfam_1,axiom,(
    ! [A,B] : k3_setfam_1(A,B) = k3_setfam_1(B,A) ),
    file(setfam_1,k3_setfam_1),
    []).

fof(commutativity_k3_xboole_0,axiom,(
    ! [A,B] : k3_xboole_0(A,B) = k3_xboole_0(B,A) ),
    file(xboole_0,k3_xboole_0),
    []).

fof(commutativity_k4_rlvect_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & l1_rlvect_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k4_rlvect_1(A,B,C) = k4_rlvect_1(A,C,B) ) ),
    file(rlvect_1,k4_rlvect_1),
    []).

fof(commutativity_k7_rusub_4,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & l1_rlvect_1(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
     => k7_rusub_4(A,B,C) = k7_rusub_4(A,C,B) ) ),
    file(rusub_4,k7_rusub_4),
    []).

fof(d10_rlvect_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_rlvect_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ( ( v4_rlvect_1(A)
              & v5_rlvect_1(A)
              & v6_rlvect_1(A) )
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ( C = k5_rlvect_1(A,B)
                <=> k2_rlvect_1(A,B,C) = k1_rlvect_1(A) ) ) ) ) ) ),
    file(rlvect_1,d10_rlvect_1),
    []).

fof(d10_rusub_4,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_rlvect_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => k6_rusub_4(A,B,C) = a_3_7_rusub_4(A,B,C) ) ) ) ),
    file(rusub_4,d10_rusub_4),
    []).

fof(d1_compts_1,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ( r1_compts_1(A,B,C)
              <=> r1_tarski(C,k5_setfam_1(u1_struct_0(A),B)) ) ) ) ) ),
    file(compts_1,d1_compts_1),
    []).

fof(d1_connsp_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ( m1_connsp_2(C,A,B)
              <=> r2_hidden(B,k1_tops_1(A,C)) ) ) ) ) ),
    file(connsp_2,d1_connsp_2),
    []).

fof(d1_funct_2,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
     => ( ( ( B = k1_xboole_0
           => A = k1_xboole_0 )
         => ( v1_funct_2(C,A,B)
          <=> A = k4_relset_1(A,B,C) ) )
        & ( B = k1_xboole_0
         => ( A = k1_xboole_0
            | ( v1_funct_2(C,A,B)
            <=> C = k1_xboole_0 ) ) ) ) ) ),
    file(funct_2,d1_funct_2),
    []).

fof(d1_setfam_1,axiom,(
    ! [A,B] : 
      ( ( A != k1_xboole_0
       => ( B = k1_setfam_1(A)
        <=> ! [C] : 
              ( r2_hidden(C,B)
            <=> ! [D] : 
                  ( r2_hidden(D,A)
                 => r2_hidden(C,D) ) ) ) )
      & ( A = k1_xboole_0
       => ( B = k1_setfam_1(A)
        <=> B = k1_xboole_0 ) ) ) ),
    file(setfam_1,d1_setfam_1),
    []).

fof(d1_tarski,axiom,(
    ! [A,B] : 
      ( B = k1_tarski(A)
    <=> ! [C] : 
          ( r2_hidden(C,B)
        <=> C = A ) ) ),
    file(tarski,d1_tarski),
    []).

fof(d1_tops_2,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))
         => ( v1_tops_2(B,A)
          <=> ! [C] : 
                ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
               => ( r2_hidden(C,B)
                 => v3_pre_topc(C,A) ) ) ) ) ) ),
    file(tops_2,d1_tops_2),
    []).

fof(d1_xboole_0,axiom,(
    ! [A] : 
      ( A = k1_xboole_0
    <=> ! [B] : ~ r2_hidden(B,A) ) ),
    file(xboole_0,d1_xboole_0),
    []).

fof(d2_rlvect_1,axiom,(
    ! [A] : 
      ( l2_struct_0(A)
     => k1_rlvect_1(A) = u2_struct_0(A) ) ),
    file(rlvect_1,d2_rlvect_1),
    []).

fof(d3_pre_topc,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => k2_pre_topc(A) = u1_struct_0(A) ) ),
    file(pre_topc,d3_pre_topc),
    []).

fof(d3_rlvect_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_rlvect_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => k2_rlvect_1(A,B,C) = k8_funct_2(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A),u1_rlvect_1(A),k1_domain_1(u1_struct_0(A),u1_struct_0(A),B,C)) ) ) ) ),
    file(rlvect_1,d3_rlvect_1),
    []).

fof(d3_tarski,axiom,(
    ! [A,B] : 
      ( r1_tarski(A,B)
    <=> ! [C] : 
          ( r2_hidden(C,A)
         => r2_hidden(C,B) ) ) ),
    file(tarski,d3_tarski),
    []).

fof(d4_tarski,axiom,(
    ! [A,B] : 
      ( B = k3_tarski(A)
    <=> ! [C] : 
          ( r2_hidden(C,B)
        <=> ? [D] : 
              ( r2_hidden(C,D)
              & r2_hidden(D,A) ) ) ) ),
    file(tarski,d4_tarski),
    []).

fof(d5_eqrel_1,axiom,(
    ! [A,B] : 
      ( ( v3_relat_2(B)
        & v8_relat_2(B)
        & v1_partfun1(B,A,A)
        & m2_relset_1(B,A,A) )
     => ! [C] : 
          ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
         => ( C = k7_eqrel_1(A,B)
          <=> ! [D] : 
                ( m1_subset_1(D,k1_zfmisc_1(A))
               => ( r2_hidden(D,C)
                <=> ? [E] : 
                      ( r2_hidden(E,A)
                      & D = k6_eqrel_1(A,B,E) ) ) ) ) ) ) ),
    file(eqrel_1,d5_eqrel_1),
    []).

fof(d5_funct_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B] : 
          ( B = k2_relat_1(A)
        <=> ! [C] : 
              ( r2_hidden(C,B)
            <=> ? [D] : 
                  ( r2_hidden(D,k1_relat_1(A))
                  & C = k1_funct_1(A,D) ) ) ) ) ),
    file(funct_1,d5_funct_1),
    []).

fof(d5_setfam_1,axiom,(
    ! [A,B,C] : 
      ( C = k3_setfam_1(A,B)
    <=> ! [D] : 
          ( r2_hidden(D,C)
        <=> ? [E,F] : 
              ( r2_hidden(E,A)
              & r2_hidden(F,B)
              & D = k3_xboole_0(E,F) ) ) ) ),
    file(setfam_1,d5_setfam_1),
    []).

fof(d5_tarski,axiom,(
    ! [A,B] : k4_tarski(A,B) = k2_tarski(k2_tarski(A,B),k1_tarski(A)) ),
    file(tarski,d5_tarski),
    []).

fof(d6_rlvect_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_rlvect_1(A) )
     => ( v4_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(A))
                   => k2_rlvect_1(A,k2_rlvect_1(A,B,C),D) = k2_rlvect_1(A,B,k2_rlvect_1(A,C,D)) ) ) ) ) ) ),
    file(rlvect_1,d6_rlvect_1),
    []).

fof(d7_compts_1,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ( v6_compts_1(B,A)
          <=> ! [C] : 
                ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))
               => ~ ( r1_compts_1(A,C,B)
                    & v1_tops_2(C,A)
                    & ! [D] : 
                        ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))
                       => ~ ( r1_tarski(D,C)
                            & r1_compts_1(A,D,B)
                            & v1_finset_1(D) ) ) ) ) ) ) ) ),
    file(compts_1,d7_compts_1),
    []).

fof(d7_xboole_0,axiom,(
    ! [A,B] : 
      ( r1_xboole_0(A,B)
    <=> k3_xboole_0(A,B) = k1_xboole_0 ) ),
    file(xboole_0,d7_xboole_0),
    []).

fof(d9_rusub_4,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_rlvect_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_rusub_4(A,B,C) = a_3_1_rusub_4(A,B,C) ) ) ) ),
    file(rusub_4,d9_rusub_4),
    []).

fof(dt_k10_relat_1,axiom,(
    $true ),
    file(relat_1,k10_relat_1),
    []).

fof(dt_k1_domain_1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(C,A)
        & m1_subset_1(D,B) )
     => m1_subset_1(k1_domain_1(A,B,C,D),k2_zfmisc_1(A,B)) ) ),
    file(domain_1,k1_domain_1),
    []).

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

fof(dt_k1_relat_1,axiom,(
    $true ),
    file(relat_1,k1_relat_1),
    []).

fof(dt_k1_rlvect_1,axiom,(
    ! [A] : 
      ( l2_struct_0(A)
     => m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)) ) ),
    file(rlvect_1,k1_rlvect_1),
    []).

fof(dt_k1_setfam_1,axiom,(
    $true ),
    file(setfam_1,k1_setfam_1),
    []).

fof(dt_k1_tarski,axiom,(
    $true ),
    file(tarski,k1_tarski),
    []).

fof(dt_k1_tops_1,axiom,(
    ! [A,B] : 
      ( ( l1_pre_topc(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => m1_subset_1(k1_tops_1(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ),
    file(tops_1,k1_tops_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_pre_topc,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => m1_subset_1(k2_pre_topc(A),k1_zfmisc_1(u1_struct_0(A))) ) ),
    file(pre_topc,k2_pre_topc),
    []).

fof(dt_k2_relat_1,axiom,(
    $true ),
    file(relat_1,k2_relat_1),
    []).

fof(dt_k2_rlvect_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_rlvect_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k2_rlvect_1(A,B,C),u1_struct_0(A)) ) ),
    file(rlvect_1,k2_rlvect_1),
    []).

fof(dt_k2_tarski,axiom,(
    $true ),
    file(tarski,k2_tarski),
    []).

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

fof(dt_k3_funct_2,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_funct_1(C)
        & m1_relset_1(C,A,B) )
     => m1_subset_1(k3_funct_2(A,B,C,D),k1_zfmisc_1(A)) ) ),
    file(funct_2,k3_funct_2),
    []).

fof(dt_k3_setfam_1,axiom,(
    $true ),
    file(setfam_1,k3_setfam_1),
    []).

fof(dt_k3_subset_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
     => m1_subset_1(k3_subset_1(A,B),k1_zfmisc_1(A)) ) ),
    file(subset_1,k3_subset_1),
    []).

fof(dt_k3_tarski,axiom,(
    $true ),
    file(tarski,k3_tarski),
    []).

fof(dt_k3_xboole_0,axiom,(
    $true ),
    file(xboole_0,k3_xboole_0),
    []).

fof(dt_k4_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => m1_subset_1(k4_relset_1(A,B,C),k1_zfmisc_1(A)) ) ),
    file(relset_1,k4_relset_1),
    []).

fof(dt_k4_rlvect_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & l1_rlvect_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k4_rlvect_1(A,B,C),u1_struct_0(A)) ) ),
    file(rlvect_1,k4_rlvect_1),
    []).

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

fof(dt_k5_rlvect_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_rlvect_1(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => m1_subset_1(k5_rlvect_1(A,B),u1_struct_0(A)) ) ),
    file(rlvect_1,k5_rlvect_1),
    []).

fof(dt_k5_rusub_4,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_rlvect_1(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k5_rusub_4(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) ),
    file(rusub_4,k5_rusub_4),
    []).

fof(dt_k5_setfam_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => m1_subset_1(k5_setfam_1(A,B),k1_zfmisc_1(A)) ) ),
    file(setfam_1,k5_setfam_1),
    []).

fof(dt_k6_eqrel_1,axiom,(
    ! [A,B,C] : 
      ( ( v1_relat_2(B)
        & v3_relat_2(B)
        & v1_partfun1(B,A,A)
        & m1_relset_1(B,A,A) )
     => m1_subset_1(k6_eqrel_1(A,B,C),k1_zfmisc_1(A)) ) ),
    file(eqrel_1,k6_eqrel_1),
    []).

fof(dt_k6_rusub_4,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_rlvect_1(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
     => m1_subset_1(k6_rusub_4(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) ),
    file(rusub_4,k6_rusub_4),
    []).

fof(dt_k6_setfam_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => m1_subset_1(k6_setfam_1(A,B),k1_zfmisc_1(A)) ) ),
    file(setfam_1,k6_setfam_1),
    []).

fof(dt_k7_eqrel_1,axiom,(
    ! [A,B] : 
      ( ( v3_relat_2(B)
        & v8_relat_2(B)
        & v1_partfun1(B,A,A)
        & m1_relset_1(B,A,A) )
     => m1_subset_1(k7_eqrel_1(A,B),k1_zfmisc_1(k1_zfmisc_1(A))) ) ),
    file(eqrel_1,k7_eqrel_1),
    []).

fof(dt_k7_rusub_4,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & l1_rlvect_1(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
     => m1_subset_1(k7_rusub_4(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) ),
    file(rusub_4,k7_rusub_4),
    []).

fof(dt_k8_eqrel_1,axiom,(
    ! [A,B] : 
      ( ( v3_relat_2(B)
        & v8_relat_2(B)
        & v1_partfun1(B,A,A)
        & m1_relset_1(B,A,A) )
     => m1_eqrel_1(k8_eqrel_1(A,B),A) ) ),
    file(eqrel_1,k8_eqrel_1),
    []).

fof(dt_k8_funct_2,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m1_relset_1(C,A,B)
        & m1_subset_1(D,A) )
     => m1_subset_1(k8_funct_2(A,B,C,D),B) ) ),
    file(funct_2,k8_funct_2),
    []).

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

fof(dt_l1_rltopsp1,axiom,(
    ! [A] : 
      ( l1_rltopsp1(A)
     => ( l2_rlvect_1(A)
        & l1_pre_topc(A) ) ) ),
    file(rltopsp1,l1_rltopsp1),
    []).

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_connsp_2,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => ! [C] : 
          ( m1_connsp_2(C,A,B)
         => m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) ) ) ),
    file(connsp_2,m1_connsp_2),
    []).

fof(dt_m1_eqrel_1,axiom,(
    ! [A,B] : 
      ( m1_eqrel_1(B,A)
     => m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) ),
    file(eqrel_1,m1_eqrel_1),
    []).

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_rlvect_1,axiom,(
    ! [A] : 
      ( l1_rlvect_1(A)
     => ( v1_funct_1(u1_rlvect_1(A))
        & v1_funct_2(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
        & m2_relset_1(u1_rlvect_1(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ),
    file(rlvect_1,u1_rlvect_1),
    []).

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

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

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

fof(existence_l1_rltopsp1,axiom,(
    ? [A] : l1_rltopsp1(A) ),
    file(rltopsp1,l1_rltopsp1),
    []).

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_connsp_2,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => ? [C] : m1_connsp_2(C,A,B) ) ),
    file(connsp_2,m1_connsp_2),
    []).

fof(existence_m1_eqrel_1,axiom,(
    ! [A] : 
    ? [B] : m1_eqrel_1(B,A) ),
    file(eqrel_1,m1_eqrel_1),
    []).

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(fc10_rltopsp1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v6_rltopsp1(A)
        & v7_rltopsp1(A)
        & l1_rltopsp1(A)
        & v4_pre_topc(B,A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
        & m1_subset_1(C,u1_struct_0(A)) )
     => v4_pre_topc(k5_rusub_4(A,B,C),A) ) ),
    file(rltopsp1,fc10_rltopsp1),
    []).

fof(fc10_tops_1,axiom,(
    ! [A,B] : 
      ( ( l1_pre_topc(A)
        & v2_tops_1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ( v1_xboole_0(k1_tops_1(A,B))
        & v1_membered(k1_tops_1(A,B))
        & v2_membered(k1_tops_1(A,B))
        & v3_membered(k1_tops_1(A,B))
        & v4_membered(k1_tops_1(A,B))
        & v5_membered(k1_tops_1(A,B))
        & v2_tops_1(k1_tops_1(A,B),A) ) ) ),
    file(tops_1,fc10_tops_1),
    []).

fof(fc11_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_finset_1(A) )
     => v1_finset_1(k2_relat_1(A)) ) ),
    file(finseq_1,fc11_finseq_1),
    []).

fof(fc11_tops_1,axiom,(
    ! [A,B] : 
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A)
        & v3_tops_1(B,A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => v1_tops_1(k3_subset_1(u1_struct_0(A),B),A) ) ),
    file(tops_1,fc11_tops_1),
    []).

fof(fc17_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finset_1(A) )
     => v1_finset_1(k1_relat_1(A)) ) ),
    file(finseq_1,fc17_finseq_1),
    []).

fof(fc18_finseq_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finset_1(A) )
     => v1_finset_1(k10_relat_1(A,B)) ) ),
    file(finseq_1,fc18_finseq_1),
    []).

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

fof(fc1_filter_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & v3_relat_2(B)
        & v8_relat_2(B)
        & v1_partfun1(B,A,A)
        & m1_relset_1(B,A,A) )
     => ~ v1_xboole_0(k7_eqrel_1(A,B)) ) ),
    file(filter_1,fc1_filter_1),
    []).

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

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

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

fof(fc2_finseq_1,axiom,
    ( v1_xboole_0(k1_xboole_0)
    & v1_relat_1(k1_xboole_0)
    & v3_relat_1(k1_xboole_0)
    & v1_funct_1(k1_xboole_0)
    & v2_funct_1(k1_xboole_0)
    & v1_finset_1(k1_xboole_0)
    & v1_finseq_1(k1_xboole_0) ),
    file(finseq_1,fc2_finseq_1),
    []).

fof(fc2_pre_topc,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ~ v1_xboole_0(k2_pre_topc(A)) ) ),
    file(pre_topc,fc2_pre_topc),
    []).

fof(fc2_subset_1,axiom,(
    ! [A] : ~ v1_xboole_0(k1_tarski(A)) ),
    file(subset_1,fc2_subset_1),
    []).

fof(fc3_subset_1,axiom,(
    ! [A,B] : ~ v1_xboole_0(k2_tarski(A,B)) ),
    file(subset_1,fc3_subset_1),
    []).

fof(fc3_tops_1,axiom,(
    ! [A,B] : 
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A)
        & v4_pre_topc(B,A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => v3_pre_topc(k3_subset_1(u1_struct_0(A),B),A) ) ),
    file(tops_1,fc3_tops_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(fc4_tops_1,axiom,(
    ! [A,B] : 
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A)
        & v3_pre_topc(B,A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => v4_pre_topc(k3_subset_1(u1_struct_0(A),B),A) ) ),
    file(tops_1,fc4_tops_1),
    []).

fof(fc5_pre_topc,axiom,(
    ! [A] : 
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A) )
     => v4_pre_topc(k2_pre_topc(A),A) ) ),
    file(pre_topc,fc5_pre_topc),
    []).

fof(fc6_tops_1,axiom,(
    ! [A,B] : 
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => v3_pre_topc(k1_tops_1(A,B),A) ) ),
    file(tops_1,fc6_tops_1),
    []).

fof(fc8_rltopsp1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v6_rltopsp1(A)
        & v7_rltopsp1(A)
        & l1_rltopsp1(A)
        & v3_pre_topc(B,A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
        & m1_subset_1(C,u1_struct_0(A)) )
     => v3_pre_topc(k5_rusub_4(A,B,C),A) ) ),
    file(rltopsp1,fc8_rltopsp1),
    []).

fof(fc8_tops_1,axiom,(
    ! [A] : 
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ( v3_pre_topc(k2_pre_topc(A),A)
        & v4_pre_topc(k2_pre_topc(A),A) ) ) ),
    file(tops_1,fc8_tops_1),
    []).

fof(fc9_rltopsp1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v6_rltopsp1(A)
        & v7_rltopsp1(A)
        & l1_rltopsp1(A)
        & v3_pre_topc(B,A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
     => v3_pre_topc(k6_rusub_4(A,C,B),A) ) ),
    file(rltopsp1,fc9_rltopsp1),
    []).

fof(fc9_tops_1,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => v1_tops_1(k2_pre_topc(A),A) ) ),
    file(tops_1,fc9_tops_1),
    []).

fof(fraenkel_a_2_3_rltopsp1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v6_rltopsp1(B)
        & v7_rltopsp1(B)
        & l1_rltopsp1(B)
        & v1_relat_1(C)
        & v1_funct_1(C) )
     => ( r2_hidden(A,a_2_3_rltopsp1(B,C))
      <=> ? [D,E] : 
            ( m1_subset_1(D,u1_struct_0(B))
            & v3_pre_topc(E,B)
            & m1_connsp_2(E,B,k1_rlvect_1(B))
            & A = k5_rusub_4(B,E,D)
            & r2_hidden(k4_tarski(D,E),k2_relat_1(C)) ) ) ) ),
    file(rltopsp1,a_2_3_rltopsp1),
    []).

fof(fraenkel_a_3_1_rusub_4,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(B)
        & l1_rlvect_1(B)
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
        & m1_subset_1(D,u1_struct_0(B)) )
     => ( r2_hidden(A,a_3_1_rusub_4(B,C,D))
      <=> ? [E] : 
            ( m1_subset_1(E,u1_struct_0(B))
            & A = k2_rlvect_1(B,D,E)
            & r2_hidden(E,C) ) ) ) ),
    file(rusub_4,a_3_1_rusub_4),
    []).

fof(fraenkel_a_3_21_rltopsp1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v6_rltopsp1(B)
        & v7_rltopsp1(B)
        & l1_rltopsp1(B)
        & v4_pre_topc(C,B)
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
        & m1_subset_1(D,u1_struct_0(B)) )
     => ( r2_hidden(A,a_3_21_rltopsp1(B,C,D))
      <=> ? [E] : 
            ( m1_subset_1(E,u1_struct_0(B))
            & A = k4_rlvect_1(B,k5_rlvect_1(B,D),E)
            & r2_hidden(E,k3_subset_1(u1_struct_0(B),C)) ) ) ) ),
    file(rltopsp1,a_3_21_rltopsp1),
    []).

fof(fraenkel_a_3_22_rltopsp1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v6_rltopsp1(B)
        & v7_rltopsp1(B)
        & l1_rltopsp1(B)
        & v6_compts_1(C,B)
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
        & v4_pre_topc(D,B)
        & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) )
     => ( r2_hidden(A,a_3_22_rltopsp1(B,C,D))
      <=> ? [E,F] : 
            ( m1_subset_1(E,u1_struct_0(B))
            & v3_pre_topc(F,B)
            & m1_connsp_2(F,B,k1_rlvect_1(B))
            & A = k4_tarski(E,F)
            & r2_hidden(E,C)
            & v2_rltopsp1(F,B)
            & r1_xboole_0(k7_rusub_4(B,k7_rusub_4(B,k5_rusub_4(B,F,E),F),F),D) ) ) ) ),
    file(rltopsp1,a_3_22_rltopsp1),
    []).

fof(fraenkel_a_3_23_rltopsp1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v6_rltopsp1(B)
        & v7_rltopsp1(B)
        & l1_rltopsp1(B)
        & v1_relat_1(C)
        & v1_funct_1(C)
        & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) )
     => ( r2_hidden(A,a_3_23_rltopsp1(B,C,D))
      <=> ? [E] : 
            ( v3_pre_topc(E,B)
            & m1_connsp_2(E,B,k1_rlvect_1(B))
            & A = E
            & ? [F] : 
                ( m1_subset_1(F,u1_struct_0(B))
                & r2_hidden(k5_rusub_4(B,E,F),D)
                & r2_hidden(k4_tarski(F,E),k2_relat_1(C)) ) ) ) ) ),
    file(rltopsp1,a_3_23_rltopsp1),
    []).

fof(fraenkel_a_3_24_rltopsp1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v6_rltopsp1(B)
        & v7_rltopsp1(B)
        & l1_rltopsp1(B)
        & v1_relat_1(C)
        & v1_funct_1(C)
        & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B)))) )
     => ( r2_hidden(A,a_3_24_rltopsp1(B,C,D))
      <=> ? [E,F] : 
            ( m1_subset_1(E,u1_struct_0(B))
            & v3_pre_topc(F,B)
            & m1_connsp_2(F,B,k1_rlvect_1(B))
            & A = k7_rusub_4(B,k5_rusub_4(B,F,E),F)
            & r2_hidden(k5_rusub_4(B,F,E),D)
            & r2_hidden(k4_tarski(E,F),k2_relat_1(C)) ) ) ) ),
    file(rltopsp1,a_3_24_rltopsp1),
    []).

fof(fraenkel_a_3_25_rltopsp1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v6_rltopsp1(B)
        & v7_rltopsp1(B)
        & l1_rltopsp1(B)
        & v6_compts_1(C,B)
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
        & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) )
     => ( r2_hidden(A,a_3_25_rltopsp1(B,C,D))
      <=> ? [E,F] : 
            ( m1_subset_1(E,u1_struct_0(B))
            & m1_subset_1(F,u1_struct_0(B))
            & A = k4_rlvect_1(B,E,F)
            & r2_hidden(E,C)
            & r2_hidden(F,D) ) ) ) ),
    file(rltopsp1,a_3_25_rltopsp1),
    []).

fof(fraenkel_a_3_26_rltopsp1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v6_rltopsp1(B)
        & v7_rltopsp1(B)
        & l1_rltopsp1(B)
        & v4_pre_topc(C,B)
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
        & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) )
     => ( r2_hidden(A,a_3_26_rltopsp1(B,C,D))
      <=> ? [E,F] : 
            ( m1_subset_1(E,u1_struct_0(B))
            & m1_subset_1(F,u1_struct_0(B))
            & A = k4_rlvect_1(B,E,F)
            & r2_hidden(E,C)
            & r2_hidden(F,D) ) ) ) ),
    file(rltopsp1,a_3_26_rltopsp1),
    []).

fof(fraenkel_a_3_7_rusub_4,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(B)
        & l1_rlvect_1(B)
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
        & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) )
     => ( r2_hidden(A,a_3_7_rusub_4(B,C,D))
      <=> ? [E,F] : 
            ( m1_subset_1(E,u1_struct_0(B))
            & m1_subset_1(F,u1_struct_0(B))
            & A = k2_rlvect_1(B,E,F)
            & r2_hidden(E,C)
            & r2_hidden(F,D) ) ) ) ),
    file(rusub_4,a_3_7_rusub_4),
    []).

fof(fraenkel_a_4_6_rltopsp1,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v6_rltopsp1(B)
        & v7_rltopsp1(B)
        & l1_rltopsp1(B)
        & v1_relat_1(C)
        & v1_funct_1(C)
        & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(B))))
        & m1_subset_1(E,k1_zfmisc_1(u1_struct_0(B))) )
     => ( r2_hidden(A,a_4_6_rltopsp1(B,C,D,E))
      <=> ? [F,G] : 
            ( m1_subset_1(F,u1_struct_0(B))
            & v3_pre_topc(G,B)
            & m1_connsp_2(G,B,k1_rlvect_1(B))
            & A = k7_rusub_4(B,k5_rusub_4(B,G,F),E)
            & r2_hidden(k5_rusub_4(B,G,F),D)
            & r2_hidden(k4_tarski(F,G),k2_relat_1(C)) ) ) ) ),
    file(rltopsp1,a_4_6_rltopsp1),
    []).

fof(fraenkel_a_4_7_rltopsp1,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v3_struct_0(B)
        & v2_pre_topc(B)
        & v3_rlvect_1(B)
        & v4_rlvect_1(B)
        & v5_rlvect_1(B)
        & v6_rlvect_1(B)
        & v7_rlvect_1(B)
        & v6_rltopsp1(B)
        & v7_rltopsp1(B)
        & l1_rltopsp1(B)
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
        & m1_subset_1(D,u1_struct_0(B))
        & v3_pre_topc(E,B)
        & m1_connsp_2(E,B,k1_rlvect_1(B)) )
     => ( r2_hidden(A,a_4_7_rltopsp1(B,C,D,E))
      <=> ? [F,G] : 
            ( m1_subset_1(F,u1_struct_0(B))
            & m1_subset_1(G,u1_struct_0(B))
            & A = k4_rlvect_1(B,F,G)
            & r2_hidden(F,k5_rusub_4(B,E,D))
            & r2_hidden(G,C) ) ) ) ),
    file(rltopsp1,a_4_7_rltopsp1),
    []).

fof(idempotence_k3_xboole_0,axiom,(
    ! [A,B] : k3_xboole_0(A,A) = A ),
    file(xboole_0,k3_xboole_0),
    []).

fof(involutiveness_k3_subset_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
     => k3_subset_1(A,k3_subset_1(A,B)) = B ) ),
    file(subset_1,k3_subset_1),
    []).

fof(l5_rltopsp1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_rlvect_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ( r2_hidden(D,B)
                   => r2_hidden(k2_rlvect_1(A,C,D),k5_rusub_4(A,B,C)) ) ) ) ) ) ),
    file(rltopsp1,l5_rltopsp1),
    []).

fof(rc1_finseq_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finseq_1(A) ) ),
    file(finseq_1,rc1_finseq_1),
    []).

fof(rc1_partfun1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_xboole_0(A) ) ),
    file(partfun1,rc1_partfun1),
    []).

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

fof(rc1_tops_1,axiom,(
    ! [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),
    []).

fof(rc2_borsuk_3,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
          & v6_compts_1(B,A) ) ) ),
    file(borsuk_3,rc2_borsuk_3),
    []).

fof(rc2_partfun1,axiom,(
    ! [A,B] : 
    ? [C] : 
      ( m1_relset_1(C,A,B)
      & v1_relat_1(C)
      & v1_funct_1(C) ) ),
    file(partfun1,rc2_partfun1),
    []).

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

fof(rc2_tops_1,axiom,(
    ! [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),
    []).

fof(rc3_finseq_1,axiom,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A) ) ),
    file(finseq_1,rc3_finseq_1),
    []).

fof(rc3_rltopsp1,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,k1_zfmisc_1(u1_struct_0(A)))
          & ~ v1_xboole_0(B)
          & v2_rltopsp1(B,A) ) ) ),
    file(rltopsp1,rc3_rltopsp1),
    []).

fof(rc3_rlvect_1,axiom,(
    ? [A] : 
      ( l2_rlvect_1(A)
      & ~ v3_struct_0(A) ) ),
    file(rlvect_1,rc3_rlvect_1),
    []).

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

fof(rc3_topgrp_1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => ? [C] : 
          ( m1_connsp_2(C,A,B)
          & ~ v1_xboole_0(C)
          & v3_pre_topc(C,A) ) ) ),
    file(topgrp_1,rc3_topgrp_1),
    []).

fof(rc3_tops_1,axiom,(
    ! [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),
    []).

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

fof(rc4_topgrp_1,axiom,(
    ! [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)
          & v1_tops_1(B,A) ) ) ),
    file(topgrp_1,rc4_topgrp_1),
    []).

fof(rc4_tops_1,axiom,(
    ! [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),
    []).

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(rc5_tops_1,axiom,(
    ! [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),
    []).

fof(rc6_finseq_1,axiom,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_finset_1(A) ) ),
    file(finseq_1,rc6_finseq_1),
    []).

fof(rc6_pre_topc,axiom,(
    ! [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),
    []).

fof(rc7_finseq_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A) ) ),
    file(finseq_1,rc7_finseq_1),
    []).

fof(rc7_pre_topc,axiom,(
    ! [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),
    []).

fof(rc8_finseq_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A) ) ),
    file(finseq_1,rc8_finseq_1),
    []).

fof(redefinition_k1_domain_1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(C,A)
        & m1_subset_1(D,B) )
     => k1_domain_1(A,B,C,D) = k4_tarski(C,D) ) ),
    file(domain_1,k1_domain_1),
    []).

fof(redefinition_k3_funct_2,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_funct_1(C)
        & m1_relset_1(C,A,B) )
     => k3_funct_2(A,B,C,D) = k10_relat_1(C,D) ) ),
    file(funct_2,k3_funct_2),
    []).

fof(redefinition_k4_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => k4_relset_1(A,B,C) = k1_relat_1(C) ) ),
    file(relset_1,k4_relset_1),
    []).

fof(redefinition_k4_rlvect_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & l1_rlvect_1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k4_rlvect_1(A,B,C) = k2_rlvect_1(A,B,C) ) ),
    file(rlvect_1,k4_rlvect_1),
    []).

fof(redefinition_k5_setfam_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => k5_setfam_1(A,B) = k3_tarski(B) ) ),
    file(setfam_1,k5_setfam_1),
    []).

fof(redefinition_k6_setfam_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => k6_setfam_1(A,B) = k1_setfam_1(B) ) ),
    file(setfam_1,k6_setfam_1),
    []).

fof(redefinition_k7_rusub_4,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v3_rlvect_1(A)
        & l1_rlvect_1(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
        & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) )
     => k7_rusub_4(A,B,C) = k6_rusub_4(A,B,C) ) ),
    file(rusub_4,k7_rusub_4),
    []).

fof(redefinition_k8_eqrel_1,axiom,(
    ! [A,B] : 
      ( ( v3_relat_2(B)
        & v8_relat_2(B)
        & v1_partfun1(B,A,A)
        & m1_relset_1(B,A,A) )
     => k8_eqrel_1(A,B) = k7_eqrel_1(A,B) ) ),
    file(eqrel_1,k8_eqrel_1),
    []).

fof(redefinition_k8_funct_2,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m1_relset_1(C,A,B)
        & m1_subset_1(D,A) )
     => k8_funct_2(A,B,C,D) = k1_funct_1(C,D) ) ),
    file(funct_2,k8_funct_2),
    []).

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(s1_eqrel_1__e8_109_1_2__rltopsp1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v6_rltopsp1(A)
        & v7_rltopsp1(A)
        & l1_rltopsp1(A)
        & ~ v1_xboole_0(B) )
     => ( ( ! [C] : 
              ( r2_hidden(C,B)
             => ? [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                  & ? [E] : 
                      ( m1_subset_1(E,u1_struct_0(A))
                      & ? [F] : 
                          ( v3_pre_topc(F,A)
                          & m1_connsp_2(F,A,k1_rlvect_1(A))
                          & ? [G] : 
                              ( v3_pre_topc(G,A)
                              & m1_connsp_2(G,A,k1_rlvect_1(A))
                              & C = k4_tarski(D,F)
                              & C = k4_tarski(E,G)
                              & k5_rusub_4(A,F,D) = k5_rusub_4(A,G,E) ) ) ) ) )
          & ! [C,H] : 
              ( ? [I] : 
                  ( m1_subset_1(I,u1_struct_0(A))
                  & ? [J] : 
                      ( m1_subset_1(J,u1_struct_0(A))
                      & ? [K] : 
                          ( v3_pre_topc(K,A)
                          & m1_connsp_2(K,A,k1_rlvect_1(A))
                          & ? [L] : 
                              ( v3_pre_topc(L,A)
                              & m1_connsp_2(L,A,k1_rlvect_1(A))
                              & C = k4_tarski(I,K)
                              & H = k4_tarski(J,L)
                              & k5_rusub_4(A,K,I) = k5_rusub_4(A,L,J) ) ) ) )
             => ? [M] : 
                  ( m1_subset_1(M,u1_struct_0(A))
                  & ? [N] : 
                      ( m1_subset_1(N,u1_struct_0(A))
                      & ? [O] : 
                          ( v3_pre_topc(O,A)
                          & m1_connsp_2(O,A,k1_rlvect_1(A))
                          & ? [P] : 
                              ( v3_pre_topc(P,A)
                              & m1_connsp_2(P,A,k1_rlvect_1(A))
                              & H = k4_tarski(M,O)
                              & C = k4_tarski(N,P)
                              & k5_rusub_4(A,O,M) = k5_rusub_4(A,P,N) ) ) ) ) )
          & ! [C,H,Q] : 
              ( ( ? [R] : 
                    ( m1_subset_1(R,u1_struct_0(A))
                    & ? [S] : 
                        ( m1_subset_1(S,u1_struct_0(A))
                        & ? [T] : 
                            ( v3_pre_topc(T,A)
                            & m1_connsp_2(T,A,k1_rlvect_1(A))
                            & ? [U] : 
                                ( v3_pre_topc(U,A)
                                & m1_connsp_2(U,A,k1_rlvect_1(A))
                                & C = k4_tarski(R,T)
                                & H = k4_tarski(S,U)
                                & k5_rusub_4(A,T,R) = k5_rusub_4(A,U,S) ) ) ) )
                & ? [V] : 
                    ( m1_subset_1(V,u1_struct_0(A))
                    & ? [W] : 
                        ( m1_subset_1(W,u1_struct_0(A))
                        & ? [X] : 
                            ( v3_pre_topc(X,A)
                            & m1_connsp_2(X,A,k1_rlvect_1(A))
                            & ? [Y] : 
                                ( v3_pre_topc(Y,A)
                                & m1_connsp_2(Y,A,k1_rlvect_1(A))
                                & H = k4_tarski(V,X)
                                & Q = k4_tarski(W,Y)
                                & k5_rusub_4(A,X,V) = k5_rusub_4(A,Y,W) ) ) ) ) )
             => ? [Z] : 
                  ( m1_subset_1(Z,u1_struct_0(A))
                  & ? [A1] : 
                      ( m1_subset_1(A1,u1_struct_0(A))
                      & ? [B1] : 
                          ( v3_pre_topc(B1,A)
                          & m1_connsp_2(B1,A,k1_rlvect_1(A))
                          & ? [C1] : 
                              ( v3_pre_topc(C1,A)
                              & m1_connsp_2(C1,A,k1_rlvect_1(A))
                              & C = k4_tarski(Z,B1)
                              & Q = k4_tarski(A1,C1)
                              & k5_rusub_4(A,B1,Z) = k5_rusub_4(A,C1,A1) ) ) ) ) ) )
       => ? [C] : 
            ( v3_relat_2(C)
            & v8_relat_2(C)
            & v1_partfun1(C,B,B)
            & m2_relset_1(C,B,B)
            & ! [H,Q] : 
                ( r2_hidden(k4_tarski(H,Q),C)
              <=> ( r2_hidden(H,B)
                  & r2_hidden(Q,B)
                  & ? [D1] : 
                      ( m1_subset_1(D1,u1_struct_0(A))
                      & ? [E1] : 
                          ( m1_subset_1(E1,u1_struct_0(A))
                          & ? [F1] : 
                              ( v3_pre_topc(F1,A)
                              & m1_connsp_2(F1,A,k1_rlvect_1(A))
                              & ? [G1] : 
                                  ( v3_pre_topc(G1,A)
                                  & m1_connsp_2(G1,A,k1_rlvect_1(A))
                                  & H = k4_tarski(D1,F1)
                                  & Q = k4_tarski(E1,G1)
                                  & k5_rusub_4(A,F1,D1) = k5_rusub_4(A,G1,E1) ) ) ) ) ) ) ) ) ) ),
    file(rltopsp1,s1_eqrel_1__e8_109_1_2__rltopsp1),
    []).

fof(s1_funct_2__e35_109_1_2__rltopsp1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v6_rltopsp1(A)
        & v7_rltopsp1(A)
        & l1_rltopsp1(A)
        & v1_relat_1(B)
        & v1_funct_1(B)
        & m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))
        & m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) )
     => ( ! [E] : ~ ( r2_hidden(E,C)
            & ! [F] : ~ ( r2_hidden(F,D)
                & ? [G] : 
                    ( m1_subset_1(G,u1_struct_0(A))
                    & ? [H] : 
                        ( v3_pre_topc(H,A)
                        & m1_connsp_2(H,A,k1_rlvect_1(A))
                        & E = k5_rusub_4(A,H,G)
                        & r2_hidden(k5_rusub_4(A,H,G),C)
                        & r2_hidden(k4_tarski(G,H),k2_relat_1(B))
                        & F = H ) ) ) )
       => ? [E] : 
            ( v1_funct_1(E)
            & v1_funct_2(E,C,D)
            & m2_relset_1(E,C,D)
            & ! [F] : 
                ( r2_hidden(F,C)
               => ? [I] : 
                    ( m1_subset_1(I,u1_struct_0(A))
                    & ? [J] : 
                        ( v3_pre_topc(J,A)
                        & m1_connsp_2(J,A,k1_rlvect_1(A))
                        & F = k5_rusub_4(A,J,I)
                        & r2_hidden(k5_rusub_4(A,J,I),C)
                        & r2_hidden(k4_tarski(I,J),k2_relat_1(B))
                        & k1_funct_1(E,F) = J ) ) ) ) ) ) ),
    file(rltopsp1,s1_funct_2__e35_109_1_2__rltopsp1),
    []).

fof(symmetry_r1_xboole_0,axiom,(
    ! [A,B] : 
      ( r1_xboole_0(A,B)
     => r1_xboole_0(B,A) ) ),
    file(xboole_0,r1_xboole_0),
    []).

fof(t10_rlvect_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & l1_rlvect_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ( k2_rlvect_1(A,B,k1_rlvect_1(A)) = B
            & k2_rlvect_1(A,k1_rlvect_1(A),B) = B ) ) ) ),
    file(rlvect_1,t10_rlvect_1),
    []).

fof(t10_subset_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
     => ~ ( B != k1_xboole_0
          & ! [C] : 
              ( m1_subset_1(C,A)
             => ~ r2_hidden(C,B) ) ) ) ),
    file(subset_1,t10_subset_1),
    []).

fof(t11_rltopsp1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_rlvect_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ! [D] : 
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
                 => ! [E] : 
                      ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A)))
                     => ( ( r1_tarski(B,D)
                          & r1_tarski(C,E) )
                       => r1_tarski(k6_rusub_4(A,B,C),k6_rusub_4(A,D,E)) ) ) ) ) ) ) ),
    file(rltopsp1,t11_rltopsp1),
    []).

fof(t12_funct_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(B)
        & v1_funct_1(B) )
     => ( r2_hidden(A,k1_relat_1(B))
       => r2_hidden(k1_funct_1(B,A),k2_relat_1(B)) ) ) ),
    file(funct_1,t12_funct_1),
    []).

fof(t13_finset_1,axiom,(
    ! [A,B] : 
      ( ( r1_tarski(A,B)
        & v1_finset_1(B) )
     => v1_finset_1(A) ) ),
    file(finset_1,t13_finset_1),
    []).

fof(t16_rlvect_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & l1_rlvect_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ( k2_rlvect_1(A,B,k5_rlvect_1(A,B)) = k1_rlvect_1(A)
            & k2_rlvect_1(A,k5_rlvect_1(A,B),B) = k1_rlvect_1(A) ) ) ) ),
    file(rlvect_1,t16_rlvect_1),
    []).

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

fof(t1_xboole_1,axiom,(
    ! [A,B,C] : 
      ( ( r1_tarski(A,B)
        & r1_tarski(B,C) )
     => r1_tarski(A,C) ) ),
    file(xboole_1,t1_xboole_1),
    []).

fof(t21_topgrp_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => m1_connsp_2(k2_pre_topc(A),A,B) ) ) ),
    file(topgrp_1,t21_topgrp_1),
    []).

fof(t26_rltopsp1,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] : 
          ( ( v2_rltopsp1(B,A)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ( r2_hidden(C,B)
               => r2_hidden(k5_rlvect_1(A,C),B) ) ) ) ) ),
    file(rltopsp1,t26_rltopsp1),
    []).

fof(t27_eqrel_1,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_relat_2(D)
        & v3_relat_2(D)
        & v1_partfun1(D,A,A)
        & m2_relset_1(D,A,A) )
     => ( r2_hidden(B,k6_eqrel_1(A,D,C))
      <=> r2_hidden(k4_tarski(B,C),D) ) ) ),
    file(eqrel_1,t27_eqrel_1),
    []).

fof(t27_finset_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(B)
        & v1_funct_1(B) )
     => ( ( r1_tarski(A,k2_relat_1(B))
          & v1_finset_1(k10_relat_1(B,A)) )
       => v1_finset_1(A) ) ) ),
    file(finset_1,t27_finset_1),
    []).

fof(t27_tops_2,axiom,(
    ! [A] : 
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))
         => ( ( v1_tops_2(B,A)
              & v1_finset_1(B) )
           => v3_pre_topc(k6_setfam_1(u1_struct_0(A),B),A) ) ) ) ),
    file(tops_2,t27_tops_2),
    []).

fof(t28_eqrel_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_2(B)
        & v3_relat_2(B)
        & v1_partfun1(B,A,A)
        & m2_relset_1(B,A,A) )
     => ! [C] : 
          ( r2_hidden(C,A)
         => r2_hidden(C,k6_eqrel_1(A,B,C)) ) ) ),
    file(eqrel_1,t28_eqrel_1),
    []).

fof(t28_wellord2,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ~ ( ! [B] : ~ ( r2_hidden(B,A)
              & B = k1_xboole_0 )
          & ! [B] : 
              ( ( v1_relat_1(B)
                & v1_funct_1(B) )
             => ~ ( k1_relat_1(B) = A
                  & ! [C] : 
                      ( r2_hidden(C,A)
                     => r2_hidden(k1_funct_1(B,C),C) ) ) ) ) ) ),
    file(wellord2,t28_wellord2),
    []).

fof(t2_boole,axiom,(
    ! [A] : k3_xboole_0(A,k1_xboole_0) = k1_xboole_0 ),
    file(boole,t2_boole),
    []).

fof(t2_rltopsp1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))
             => ( r1_compts_1(A,C,B)
               => ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ~ ( r2_hidden(D,B)
                        & ! [E] : 
                            ( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A)))
                           => ~ ( r2_hidden(D,E)
                                & r2_hidden(E,C) ) ) ) ) ) ) ) ) ),
    file(rltopsp1,t2_rltopsp1),
    []).

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

fof(t2_tarski,axiom,(
    ! [A,B] : 
      ( ! [C] : 
          ( r2_hidden(C,A)
        <=> r2_hidden(C,B) )
     => A = B ) ),
    file(tarski,t2_tarski),
    []).

fof(t31_eqrel_1,axiom,(
    ! [A,B,C] : 
      ( ( v3_relat_2(C)
        & v8_relat_2(C)
        & v1_partfun1(C,A,A)
        & m2_relset_1(C,A,A) )
     => ! [D] : 
          ( r2_hidden(D,A)
         => ( r2_hidden(B,k6_eqrel_1(A,C,D))
          <=> k6_eqrel_1(A,C,D) = k6_eqrel_1(A,C,B) ) ) ) ),
    file(eqrel_1,t31_eqrel_1),
    []).

fof(t31_zfmisc_1,axiom,(
    ! [A] : k3_tarski(k1_tarski(A)) = A ),
    file(zfmisc_1,t31_zfmisc_1),
    []).

fof(t33_zfmisc_1,axiom,(
    ! [A,B,C,D] : 
      ( k4_tarski(A,B) = k4_tarski(C,D)
     => ( A = C
        & B = D ) ) ),
    file(zfmisc_1,t33_zfmisc_1),
    []).

fof(t36_convex1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_rlvect_1(A)
        & l1_rlvect_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ! [D] : 
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
                 => k6_rusub_4(A,k6_rusub_4(A,B,C),D) = k6_rusub_4(A,B,k6_rusub_4(A,C,D)) ) ) ) ) ),
    file(convex1,t36_convex1),
    []).

fof(t36_setfam_1,axiom,(
    ! [A,B] : k3_xboole_0(A,k3_tarski(B)) = k3_tarski(k3_setfam_1(k1_tarski(A),B)) ),
    file(setfam_1,t36_setfam_1),
    []).

fof(t3_rltopsp1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_rlvect_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ( ( r2_hidden(D,B)
                          & r2_hidden(E,C) )
                       => r2_hidden(k2_rlvect_1(A,D,E),k6_rusub_4(A,B,C)) ) ) ) ) ) ) ),
    file(rltopsp1,t3_rltopsp1),
    []).

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

fof(t3_xboole_0,axiom,(
    ! [A,B] : 
      ( ~ ( ~ r1_xboole_0(A,B)
          & ! [C] : ~ ( r2_hidden(C,A)
              & r2_hidden(C,B) ) )
      & ~ ( ? [C] : 
              ( r2_hidden(C,A)
              & r2_hidden(C,B) )
          & r1_xboole_0(A,B) ) ) ),
    file(xboole_0,t3_xboole_0),
    []).

fof(t40_convex1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_rlvect_1(A) )
     => ! [B] : 
          ( ( v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => k6_rusub_4(A,B,C) = k1_xboole_0 ) ) ) ),
    file(convex1,t40_convex1),
    []).

fof(t43_subset_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
     => ! [C] : 
          ( m1_subset_1(C,k1_zfmisc_1(A))
         => ( r1_xboole_0(B,C)
          <=> r1_tarski(B,k3_subset_1(A,C)) ) ) ) ),
    file(subset_1,t43_subset_1),
    []).

fof(t44_tops_1,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => r1_tarski(k1_tops_1(A,B),B) ) ) ),
    file(tops_1,t44_tops_1),
    []).

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

fof(t55_tops_1,axiom,(
    ! [A] : 
      ( ( v2_pre_topc(A)
        & l1_pre_topc(A) )
     => ! [B] : 
          ( l1_pre_topc(B)
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ! [D] : 
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
                 => ( ( v3_pre_topc(D,B)
                     => k1_tops_1(B,D) = D )
                    & ( k1_tops_1(A,C) = C
                     => v3_pre_topc(C,A) ) ) ) ) ) ) ),
    file(tops_1,t55_tops_1),
    []).

fof(t57_rltopsp1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_pre_topc(A)
        & v3_rlvect_1(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & v7_rlvect_1(A)
        & v6_rltopsp1(A)
        & v7_rltopsp1(A)
        & l1_rltopsp1(A) )
     => ! [B] : 
          ( m1_connsp_2(B,A,k1_rlvect_1(A))
         => ? [C] : 
              ( v3_pre_topc(C,A)
              & m1_connsp_2(C,A,k1_rlvect_1(A))
              & v2_rltopsp1(C,A)
              & r1_tarski(k7_rusub_4(A,C,C),B) ) ) ) ),
    file(rltopsp1,t57_rltopsp1),
    []).

fof(t5_connsp_2,axiom,(
    ! [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)))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ( ( v3_pre_topc(B,A)
                  & r2_hidden(C,B) )
               => m1_connsp_2(B,A,C) ) ) ) ) ),
    file(connsp_2,t5_connsp_2),
    []).

fof(t5_rltopsp1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_rlvect_1(A)
        & v5_rlvect_1(A)
        & v6_rlvect_1(A)
        & l1_rlvect_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => k5_rusub_4(A,B,k1_rlvect_1(A)) = B ) ) ),
    file(rltopsp1,t5_rltopsp1),
    []).

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(t63_xboole_1,axiom,(
    ! [A,B,C] : 
      ( ( r1_tarski(A,B)
        & r1_xboole_0(B,C) )
     => r1_xboole_0(A,C) ) ),
    file(xboole_1,t63_xboole_1),
    []).

fof(t65_xboole_1,axiom,(
    ! [A] : r1_xboole_0(A,k1_xboole_0) ),
    file(xboole_1,t65_xboole_1),
    []).

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

fof(t6_connsp_2,axiom,(
    ! [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)))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ( m1_connsp_2(B,A,C)
               => r2_hidden(C,B) ) ) ) ) ),
    file(connsp_2,t6_connsp_2),
    []).

fof(t6_rltopsp1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_rlvect_1(A)
        & l1_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,k1_zfmisc_1(u1_struct_0(A)))
                 => k5_rusub_4(A,D,k2_rlvect_1(A,B,C)) = k5_rusub_4(A,k5_rusub_4(A,D,C),B) ) ) ) ) ),
    file(rltopsp1,t6_rltopsp1),
    []).

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

fof(t7_rltopsp1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_rlvect_1(A)
        & l1_rlvect_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ! [D] : 
                  ( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
                 => k6_rusub_4(A,k5_rusub_4(A,C,B),D) = k5_rusub_4(A,k6_rusub_4(A,C,D),B) ) ) ) ) ),
    file(rltopsp1,t7_rltopsp1),
    []).

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

fof(t8_rltopsp1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_rlvect_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A)))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ( r1_tarski(B,C)
                   => r1_tarski(k5_rusub_4(A,B,D),k5_rusub_4(A,C,D)) ) ) ) ) ) ),
    file(rltopsp1,t8_rltopsp1),
    []).