% Mizar problem: t64_fsm_1,fsm_1,2509,24 
fof(t64_fsm_1,conjecture,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ~ v1_xboole_0(B)
         => ! [C] : 
              ( ( ~ v3_struct_0(C)
                & v6_group_1(C)
                & v5_fsm_1(C,A,B)
                & l2_fsm_1(C,A,B) )
             => r7_fsm_1(A,B,C,k11_fsm_1(A,B,C)) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v2_fsm_1,antisymmetry_r2_hidden,cc10_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,cc15_membered,cc16_membered,cc17_membered,cc18_membered,cc19_membered,cc1_eqrel_1,cc1_finset_1,cc1_fsm_1,cc1_funct_2,cc1_membered,cc1_relset_1,cc1_xreal_0,cc20_membered,cc2_eqrel_1,cc2_finset_1,cc2_funct_2,cc2_membered,cc2_xreal_0,cc3_funct_2,cc3_int_1,cc3_membered,cc3_xreal_0,cc4_int_1,cc4_membered,cc4_xreal_0,cc5_funct_2,cc5_xreal_0,cc6_funct_2,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,commutativity_k2_tarski,d10_xboole_0,d14_fsm_1,d15_fsm_1,d18_fsm_1,d19_fsm_1,d1_borsuk_1,d20_fsm_1,d3_funct_2,d3_tarski,d4_funct_2,d5_tarski,dt_g2_fsm_1,dt_k11_fsm_1,dt_k1_domain_1,dt_k1_funct_1,dt_k1_relat_1,dt_k1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_borsuk_1,dt_k2_relat_1,dt_k2_tarski,dt_k2_zfmisc_1,dt_k4_tarski,dt_k8_fsm_1,dt_k8_funct_2,dt_l1_fsm_1,dt_l1_struct_0,dt_l2_fsm_1,dt_m1_eqrel_1,dt_m1_relset_1,dt_m1_subset_1,dt_m2_relset_1,dt_m2_subset_1,dt_u1_fsm_1,dt_u1_struct_0,dt_u2_fsm_1,dt_u3_fsm_1,existence_l1_fsm_1,existence_l1_struct_0,existence_l2_fsm_1,existence_m1_eqrel_1,existence_m1_relset_1,existence_m1_subset_1,existence_m2_relset_1,existence_m2_subset_1,fc10_membered,fc11_membered,fc12_membered,fc13_membered,fc14_finset_1,fc14_membered,fc15_membered,fc16_membered,fc1_finset_1,fc1_fsm_1,fc1_struct_0,fc1_subset_1,fc1_xboole_0,fc2_finset_1,fc2_subset_1,fc3_fsm_1,fc3_subset_1,fc4_subset_1,fc5_fsm_1,fc6_membered,fc7_membered,fc8_membered,fc9_membered,free_g2_fsm_1,rc1_borsuk_1,rc1_finset_1,rc1_fsm_1,rc1_funct_2,rc1_membered,rc1_partfun1,rc1_subset_1,rc1_xboole_0,rc1_xreal_0,rc2_funct_2,rc2_int_1,rc2_partfun1,rc2_subset_1,rc2_xboole_0,rc2_xreal_0,rc3_finset_1,rc3_fsm_1,rc3_struct_0,rc3_xreal_0,rc4_finset_1,rc4_fsm_1,rc4_xreal_0,rc5_fsm_1,rc5_struct_0,rc7_fsm_1,rc9_fsm_1,redefinition_k1_domain_1,redefinition_k8_funct_2,redefinition_m2_relset_1,redefinition_m2_subset_1,reflexivity_r1_tarski,reflexivity_r5_fsm_1,reflexivity_r7_fsm_1,s4_funct_2__e3_89__fsm_1,symmetry_r5_fsm_1,symmetry_r7_fsm_1,t11_fsm_1,t12_relset_1,t1_subset,t25_funct_2,t29_borsuk_1,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t6_funct_2,t7_boole,t8_boole]),
    [file(fsm_1,t64_fsm_1)]).

fof(abstractness_v2_fsm_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(B)
        & l2_fsm_1(C,A,B) )
     => ( v2_fsm_1(C,A,B)
       => C = g2_fsm_1(A,B,u1_struct_0(C),u1_fsm_1(B,C),u3_fsm_1(A,B,C),u2_fsm_1(B,C)) ) ) ),
    file(fsm_1,v2_fsm_1),
    []).

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

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

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

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

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

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

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

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

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

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

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

fof(cc1_eqrel_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_eqrel_1(B,A)
         => ~ v1_xboole_0(B) ) ) ),
    file(eqrel_1,cc1_eqrel_1),
    []).

fof(cc1_finset_1,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => v1_finset_1(A) ) ),
    file(finset_1,cc1_finset_1),
    []).

fof(cc1_fsm_1,axiom,(
    ! [A] : 
      ( v1_finset_1(A)
     => ! [B] : 
          ( m1_eqrel_1(B,A)
         => ( v1_finset_1(B)
            & v1_setfam_1(B) ) ) ) ),
    file(fsm_1,cc1_fsm_1),
    []).

fof(cc1_funct_2,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => ( ( v1_funct_1(C)
          & v1_partfun1(C,A,B) )
       => ( v1_funct_1(C)
          & v1_funct_2(C,A,B) ) ) ) ),
    file(funct_2,cc1_funct_2),
    []).

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

fof(cc1_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
     => v1_relat_1(C) ) ),
    file(relset_1,cc1_relset_1),
    []).

fof(cc1_xreal_0,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => v1_xreal_0(A) ) ),
    file(xreal_0,cc1_xreal_0),
    []).

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

fof(cc2_eqrel_1,axiom,(
    ! [A,B] : 
      ( m1_eqrel_1(B,A)
     => v1_setfam_1(B) ) ),
    file(eqrel_1,cc2_eqrel_1),
    []).

fof(cc2_finset_1,axiom,(
    ! [A] : 
      ( v1_finset_1(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => v1_finset_1(B) ) ) ),
    file(finset_1,cc2_finset_1),
    []).

fof(cc2_funct_2,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => ( ( v1_funct_1(C)
          & v1_funct_2(C,A,B)
          & v3_funct_2(C,A,B) )
       => ( v1_funct_1(C)
          & v2_funct_1(C)
          & v1_funct_2(C,A,B)
          & v2_funct_2(C,A,B) ) ) ) ),
    file(funct_2,cc2_funct_2),
    []).

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

fof(cc2_xreal_0,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => v1_xcmplx_0(A) ) ),
    file(xreal_0,cc2_xreal_0),
    []).

fof(cc3_funct_2,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => ( ( v1_funct_1(C)
          & v2_funct_1(C)
          & v1_funct_2(C,A,B)
          & v2_funct_2(C,A,B) )
       => ( v1_funct_1(C)
          & v1_funct_2(C,A,B)
          & v3_funct_2(C,A,B) ) ) ) ),
    file(funct_2,cc3_funct_2),
    []).

fof(cc3_int_1,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => v1_int_1(A) ) ),
    file(int_1,cc3_int_1),
    []).

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

fof(cc3_xreal_0,axiom,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & v2_xreal_0(A) )
     => ( ~ v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(xreal_0,cc3_xreal_0),
    []).

fof(cc4_int_1,axiom,(
    ! [A] : 
      ( v1_int_1(A)
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A) ) ) ),
    file(int_1,cc4_int_1),
    []).

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

fof(cc4_xreal_0,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) )
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & v2_xreal_0(A) ) ) ),
    file(xreal_0,cc4_xreal_0),
    []).

fof(cc5_funct_2,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(B)
     => ! [C] : 
          ( m1_relset_1(C,A,B)
         => ( ( v1_funct_1(C)
              & v1_funct_2(C,A,B) )
           => ( v1_funct_1(C)
              & v1_partfun1(C,A,B)
              & v1_funct_2(C,A,B) ) ) ) ) ),
    file(funct_2,cc5_funct_2),
    []).

fof(cc5_xreal_0,axiom,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & v3_xreal_0(A) )
     => ( ~ v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A) ) ) ),
    file(xreal_0,cc5_xreal_0),
    []).

fof(cc6_funct_2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ! [C] : 
          ( m1_relset_1(C,A,B)
         => ( ( v1_funct_1(C)
              & v1_funct_2(C,A,B) )
           => ( v1_funct_1(C)
              & ~ v1_xboole_0(C)
              & v1_partfun1(C,A,B)
              & v1_funct_2(C,A,B) ) ) ) ) ),
    file(funct_2,cc6_funct_2),
    []).

fof(cc6_xreal_0,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A) )
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & v3_xreal_0(A) ) ) ),
    file(xreal_0,cc6_xreal_0),
    []).

fof(cc7_xreal_0,axiom,(
    ! [A] : 
      ( ( v1_xboole_0(A)
        & v1_xreal_0(A) )
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(xreal_0,cc7_xreal_0),
    []).

fof(cc8_xreal_0,axiom,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & ~ v2_xreal_0(A)
        & ~ v3_xreal_0(A) )
     => ( v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A) ) ) ),
    file(xreal_0,cc8_xreal_0),
    []).

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

fof(d10_xboole_0,axiom,(
    ! [A,B] : 
      ( A = B
    <=> ( r1_tarski(A,B)
        & r1_tarski(B,A) ) ) ),
    file(xboole_0,d10_xboole_0),
    []).

fof(d14_fsm_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ~ v1_xboole_0(B)
         => ! [C] : 
              ( ( ~ v3_struct_0(C)
                & l2_fsm_1(C,A,B) )
             => ! [D] : 
                  ( m1_eqrel_1(D,u1_struct_0(C))
                 => ( v4_fsm_1(D,A,B,C)
                  <=> ! [E] : 
                        ( m1_subset_1(E,u1_struct_0(C))
                       => ! [F] : 
                            ( m1_subset_1(F,u1_struct_0(C))
                           => ( r5_fsm_1(A,B,C,E,F)
                            <=> ? [G] : 
                                  ( m2_subset_1(G,k1_zfmisc_1(u1_struct_0(C)),D)
                                  & r2_hidden(E,G)
                                  & r2_hidden(F,G) ) ) ) ) ) ) ) ) ) ),
    file(fsm_1,d14_fsm_1),
    []).

fof(d15_fsm_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ~ v1_xboole_0(B)
         => ! [C] : 
              ( ( ~ v3_struct_0(C)
                & v6_group_1(C)
                & l2_fsm_1(C,A,B) )
             => ! [D] : 
                  ( m1_eqrel_1(D,u1_struct_0(C))
                 => ( D = k8_fsm_1(A,B,C)
                  <=> v4_fsm_1(D,A,B,C) ) ) ) ) ) ),
    file(fsm_1,d15_fsm_1),
    []).

fof(d18_fsm_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ~ v1_xboole_0(B)
         => ! [C] : 
              ( ( ~ v3_struct_0(C)
                & v6_group_1(C)
                & l2_fsm_1(C,A,B) )
             => ! [D] : 
                  ( ( v2_fsm_1(D,A,B)
                    & l2_fsm_1(D,A,B) )
                 => ( D = k11_fsm_1(A,B,C)
                  <=> ( u1_struct_0(D) = k8_fsm_1(A,B,C)
                      & ! [E] : 
                          ( m1_subset_1(E,u1_struct_0(D))
                         => ! [F] : 
                              ( m1_subset_1(F,A)
                             => ! [G] : 
                                  ( m1_subset_1(G,u1_struct_0(C))
                                 => ( r2_hidden(G,E)
                                   => ( r2_hidden(k8_funct_2(k2_zfmisc_1(u1_struct_0(C),A),u1_struct_0(C),u1_fsm_1(A,C),k1_domain_1(u1_struct_0(C),A,G,F)),k1_funct_1(u1_fsm_1(A,D),k4_tarski(E,F)))
                                      & k8_funct_2(k2_zfmisc_1(u1_struct_0(C),A),B,u3_fsm_1(A,B,C),k1_domain_1(u1_struct_0(C),A,G,F)) = k1_funct_1(u3_fsm_1(A,B,D),k4_tarski(E,F)) ) ) ) ) )
                      & r2_hidden(u2_fsm_1(A,C),u2_fsm_1(A,D)) ) ) ) ) ) ) ),
    file(fsm_1,d18_fsm_1),
    []).

fof(d19_fsm_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ~ v1_xboole_0(B)
         => ! [C] : 
              ( ( ~ v3_struct_0(C)
                & l2_fsm_1(C,A,B) )
             => ! [D] : 
                  ( ( ~ v3_struct_0(D)
                    & l2_fsm_1(D,A,B) )
                 => ( r7_fsm_1(A,B,C,D)
                  <=> ? [E] : 
                        ( v1_funct_1(E)
                        & v1_funct_2(E,u1_struct_0(C),u1_struct_0(D))
                        & m2_relset_1(E,u1_struct_0(C),u1_struct_0(D))
                        & v3_funct_2(E,u1_struct_0(C),u1_struct_0(D))
                        & k8_funct_2(u1_struct_0(C),u1_struct_0(D),E,u2_fsm_1(A,C)) = u2_fsm_1(A,D)
                        & ! [F] : 
                            ( m1_subset_1(F,u1_struct_0(C))
                           => ! [G] : 
                                ( m1_subset_1(G,A)
                               => ( k8_funct_2(u1_struct_0(C),u1_struct_0(D),E,k8_funct_2(k2_zfmisc_1(u1_struct_0(C),A),u1_struct_0(C),u1_fsm_1(A,C),k1_domain_1(u1_struct_0(C),A,F,G))) = k8_funct_2(k2_zfmisc_1(u1_struct_0(D),A),u1_struct_0(D),u1_fsm_1(A,D),k1_domain_1(u1_struct_0(D),A,k8_funct_2(u1_struct_0(C),u1_struct_0(D),E,F),G))
                                  & k8_funct_2(k2_zfmisc_1(u1_struct_0(C),A),B,u3_fsm_1(A,B,C),k1_domain_1(u1_struct_0(C),A,F,G)) = k8_funct_2(k2_zfmisc_1(u1_struct_0(D),A),B,u3_fsm_1(A,B,D),k1_domain_1(u1_struct_0(D),A,k8_funct_2(u1_struct_0(C),u1_struct_0(D),E,F),G)) ) ) ) ) ) ) ) ) ) ),
    file(fsm_1,d19_fsm_1),
    []).

fof(d1_borsuk_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ( ~ v1_xboole_0(B)
            & m1_eqrel_1(B,A) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & v1_funct_2(C,A,B)
                & m2_relset_1(C,A,B) )
             => ( C = k2_borsuk_1(A,B)
              <=> ! [D] : 
                    ( m1_subset_1(D,A)
                   => r2_hidden(D,k8_funct_2(A,B,C,D)) ) ) ) ) ) ),
    file(borsuk_1,d1_borsuk_1),
    []).

fof(d20_fsm_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ~ v1_xboole_0(B)
         => ! [C] : 
              ( ( ~ v3_struct_0(C)
                & l2_fsm_1(C,A,B) )
             => ( v5_fsm_1(C,A,B)
              <=> ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(C))
                   => ! [E] : 
                        ( m1_subset_1(E,u1_struct_0(C))
                       => ~ ( D != E
                            & r5_fsm_1(A,B,C,D,E) ) ) ) ) ) ) ) ),
    file(fsm_1,d20_fsm_1),
    []).

fof(d3_funct_2,axiom,(
    ! [A,B,C] : 
      ( ( v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m2_relset_1(C,A,B) )
     => ( v2_funct_2(C,A,B)
      <=> k2_relat_1(C) = B ) ) ),
    file(funct_2,d3_funct_2),
    []).

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_funct_2,axiom,(
    ! [A,B,C] : 
      ( ( v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m2_relset_1(C,A,B) )
     => ( v3_funct_2(C,A,B)
      <=> ( v2_funct_1(C)
          & v2_funct_2(C,A,B) ) ) ) ),
    file(funct_2,d4_funct_2),
    []).

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

fof(dt_g2_fsm_1,axiom,(
    ! [A,B,C,D,E,F] : 
      ( ( ~ v1_xboole_0(B)
        & v1_funct_1(D)
        & v1_funct_2(D,k2_zfmisc_1(C,A),C)
        & m1_relset_1(D,k2_zfmisc_1(C,A),C)
        & v1_funct_1(E)
        & v1_funct_2(E,k2_zfmisc_1(C,A),B)
        & m1_relset_1(E,k2_zfmisc_1(C,A),B)
        & m1_subset_1(F,C) )
     => ( v2_fsm_1(g2_fsm_1(A,B,C,D,E,F),A,B)
        & l2_fsm_1(g2_fsm_1(A,B,C,D,E,F),A,B) ) ) ),
    file(fsm_1,g2_fsm_1),
    []).

fof(dt_k11_fsm_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & ~ v3_struct_0(C)
        & v6_group_1(C)
        & l2_fsm_1(C,A,B) )
     => ( v2_fsm_1(k11_fsm_1(A,B,C),A,B)
        & l2_fsm_1(k11_fsm_1(A,B,C),A,B) ) ) ),
    file(fsm_1,k11_fsm_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_tarski,axiom,(
    $true ),
    file(tarski,k1_tarski),
    []).

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_borsuk_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_eqrel_1(B,A) )
     => ( v1_funct_1(k2_borsuk_1(A,B))
        & v1_funct_2(k2_borsuk_1(A,B),A,B)
        & m2_relset_1(k2_borsuk_1(A,B),A,B) ) ) ),
    file(borsuk_1,k2_borsuk_1),
    []).

fof(dt_k2_relat_1,axiom,(
    $true ),
    file(relat_1,k2_relat_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_k4_tarski,axiom,(
    $true ),
    file(tarski,k4_tarski),
    []).

fof(dt_k8_fsm_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & ~ v3_struct_0(C)
        & v6_group_1(C)
        & l2_fsm_1(C,A,B) )
     => m1_eqrel_1(k8_fsm_1(A,B,C),u1_struct_0(C)) ) ),
    file(fsm_1,k8_fsm_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_fsm_1,axiom,(
    ! [A,B] : 
      ( l1_fsm_1(B,A)
     => l1_struct_0(B) ) ),
    file(fsm_1,l1_fsm_1),
    []).

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

fof(dt_l2_fsm_1,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(B)
     => ! [C] : 
          ( l2_fsm_1(C,A,B)
         => l1_fsm_1(C,A) ) ) ),
    file(fsm_1,l2_fsm_1),
    []).

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_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m2_subset_1(C,A,B)
         => m1_subset_1(C,A) ) ) ),
    file(subset_1,m2_subset_1),
    []).

fof(dt_u1_fsm_1,axiom,(
    ! [A,B] : 
      ( l1_fsm_1(B,A)
     => ( v1_funct_1(u1_fsm_1(A,B))
        & v1_funct_2(u1_fsm_1(A,B),k2_zfmisc_1(u1_struct_0(B),A),u1_struct_0(B))
        & m2_relset_1(u1_fsm_1(A,B),k2_zfmisc_1(u1_struct_0(B),A),u1_struct_0(B)) ) ) ),
    file(fsm_1,u1_fsm_1),
    []).

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

fof(dt_u2_fsm_1,axiom,(
    ! [A,B] : 
      ( l1_fsm_1(B,A)
     => m1_subset_1(u2_fsm_1(A,B),u1_struct_0(B)) ) ),
    file(fsm_1,u2_fsm_1),
    []).

fof(dt_u3_fsm_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(B)
        & l2_fsm_1(C,A,B) )
     => ( v1_funct_1(u3_fsm_1(A,B,C))
        & v1_funct_2(u3_fsm_1(A,B,C),k2_zfmisc_1(u1_struct_0(C),A),B)
        & m2_relset_1(u3_fsm_1(A,B,C),k2_zfmisc_1(u1_struct_0(C),A),B) ) ) ),
    file(fsm_1,u3_fsm_1),
    []).

fof(existence_l1_fsm_1,axiom,(
    ! [A] : 
    ? [B] : l1_fsm_1(B,A) ),
    file(fsm_1,l1_fsm_1),
    []).

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

fof(existence_l2_fsm_1,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(B)
     => ? [C] : l2_fsm_1(C,A,B) ) ),
    file(fsm_1,l2_fsm_1),
    []).

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(existence_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ? [C] : m2_subset_1(C,A,B) ) ),
    file(subset_1,m2_subset_1),
    []).

fof(fc10_membered,axiom,(
    ! [A] : 
      ( v1_int_1(A)
     => ( v1_membered(k1_tarski(A))
        & v2_membered(k1_tarski(A))
        & v3_membered(k1_tarski(A))
        & v4_membered(k1_tarski(A)) ) ) ),
    file(membered,fc10_membered),
    []).

fof(fc11_membered,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ( v1_membered(k1_tarski(A))
        & v2_membered(k1_tarski(A))
        & v3_membered(k1_tarski(A))
        & v4_membered(k1_tarski(A))
        & v5_membered(k1_tarski(A)) ) ) ),
    file(membered,fc11_membered),
    []).

fof(fc12_membered,axiom,(
    ! [A,B] : 
      ( ( v1_xcmplx_0(A)
        & v1_xcmplx_0(B) )
     => v1_membered(k2_tarski(A,B)) ) ),
    file(membered,fc12_membered),
    []).

fof(fc13_membered,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => ( v1_membered(k2_tarski(A,B))
        & v2_membered(k2_tarski(A,B)) ) ) ),
    file(membered,fc13_membered),
    []).

fof(fc14_finset_1,axiom,(
    ! [A,B] : 
      ( ( v1_finset_1(A)
        & v1_finset_1(B) )
     => v1_finset_1(k2_zfmisc_1(A,B)) ) ),
    file(finset_1,fc14_finset_1),
    []).

fof(fc14_membered,axiom,(
    ! [A,B] : 
      ( ( v1_rat_1(A)
        & v1_rat_1(B) )
     => ( v1_membered(k2_tarski(A,B))
        & v2_membered(k2_tarski(A,B))
        & v3_membered(k2_tarski(A,B)) ) ) ),
    file(membered,fc14_membered),
    []).

fof(fc15_membered,axiom,(
    ! [A,B] : 
      ( ( v1_int_1(A)
        & v1_int_1(B) )
     => ( v1_membered(k2_tarski(A,B))
        & v2_membered(k2_tarski(A,B))
        & v3_membered(k2_tarski(A,B))
        & v4_membered(k2_tarski(A,B)) ) ) ),
    file(membered,fc15_membered),
    []).

fof(fc16_membered,axiom,(
    ! [A,B] : 
      ( ( v4_ordinal2(A)
        & v4_ordinal2(B) )
     => ( v1_membered(k2_tarski(A,B))
        & v2_membered(k2_tarski(A,B))
        & v3_membered(k2_tarski(A,B))
        & v4_membered(k2_tarski(A,B))
        & v5_membered(k2_tarski(A,B)) ) ) ),
    file(membered,fc16_membered),
    []).

fof(fc1_finset_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(k1_tarski(A))
      & v1_finset_1(k1_tarski(A)) ) ),
    file(finset_1,fc1_finset_1),
    []).

fof(fc1_fsm_1,axiom,(
    ! [A] : 
      ( ( v6_group_1(A)
        & l1_struct_0(A) )
     => v1_finset_1(u1_struct_0(A)) ) ),
    file(fsm_1,fc1_fsm_1),
    []).

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

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

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

fof(fc2_finset_1,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(k2_tarski(A,B))
      & v1_finset_1(k2_tarski(A,B)) ) ),
    file(finset_1,fc2_finset_1),
    []).

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

fof(fc3_fsm_1,axiom,(
    ! [A,B,C,D,E,F] : 
      ( ( ~ v1_xboole_0(B)
        & ~ v1_xboole_0(C)
        & v1_finset_1(C)
        & v1_funct_1(D)
        & v1_funct_2(D,k2_zfmisc_1(C,A),C)
        & m1_relset_1(D,k2_zfmisc_1(C,A),C)
        & v1_funct_1(E)
        & v1_funct_2(E,k2_zfmisc_1(C,A),B)
        & m1_relset_1(E,k2_zfmisc_1(C,A),B)
        & m1_subset_1(F,C) )
     => ( ~ v3_struct_0(g2_fsm_1(A,B,C,D,E,F))
        & v6_group_1(g2_fsm_1(A,B,C,D,E,F))
        & v2_fsm_1(g2_fsm_1(A,B,C,D,E,F),A,B) ) ) ),
    file(fsm_1,fc3_fsm_1),
    []).

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

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

fof(fc5_fsm_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & ~ v3_struct_0(C)
        & v6_group_1(C)
        & l2_fsm_1(C,A,B) )
     => ( ~ v3_struct_0(k11_fsm_1(A,B,C))
        & v6_group_1(k11_fsm_1(A,B,C))
        & v2_fsm_1(k11_fsm_1(A,B,C),A,B) ) ) ),
    file(fsm_1,fc5_fsm_1),
    []).

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

fof(fc7_membered,axiom,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => v1_membered(k1_tarski(A)) ) ),
    file(membered,fc7_membered),
    []).

fof(fc8_membered,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ( v1_membered(k1_tarski(A))
        & v2_membered(k1_tarski(A)) ) ) ),
    file(membered,fc8_membered),
    []).

fof(fc9_membered,axiom,(
    ! [A] : 
      ( v1_rat_1(A)
     => ( v1_membered(k1_tarski(A))
        & v2_membered(k1_tarski(A))
        & v3_membered(k1_tarski(A)) ) ) ),
    file(membered,fc9_membered),
    []).

fof(free_g2_fsm_1,axiom,(
    ! [A,B,C,D,E,F] : 
      ( ( ~ v1_xboole_0(B)
        & v1_funct_1(D)
        & v1_funct_2(D,k2_zfmisc_1(C,A),C)
        & m1_relset_1(D,k2_zfmisc_1(C,A),C)
        & v1_funct_1(E)
        & v1_funct_2(E,k2_zfmisc_1(C,A),B)
        & m1_relset_1(E,k2_zfmisc_1(C,A),B)
        & m1_subset_1(F,C) )
     => ! [G,H,I,J,K,L] : 
          ( g2_fsm_1(A,B,C,D,E,F) = g2_fsm_1(G,H,I,J,K,L)
         => ( A = G
            & B = H
            & C = I
            & D = J
            & E = K
            & F = L ) ) ) ),
    file(fsm_1,g2_fsm_1),
    []).

fof(rc1_borsuk_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_eqrel_1(B,A)
          & ~ v1_xboole_0(B)
          & v1_setfam_1(B) ) ) ),
    file(borsuk_1,rc1_borsuk_1),
    []).

fof(rc1_finset_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_finset_1(A) ) ),
    file(finset_1,rc1_finset_1),
    []).

fof(rc1_fsm_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A) )
     => ? [B] : 
          ( m1_eqrel_1(B,A)
          & ~ v1_xboole_0(B)
          & v1_finset_1(B)
          & v1_setfam_1(B) ) ) ),
    file(fsm_1,rc1_fsm_1),
    []).

fof(rc1_funct_2,axiom,(
    ! [A,B] : 
    ? [C] : 
      ( m1_relset_1(C,A,B)
      & v1_relat_1(C)
      & v1_funct_1(C)
      & v1_funct_2(C,A,B) ) ),
    file(funct_2,rc1_funct_2),
    []).

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

fof(rc1_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_xboole_0,axiom,(
    ? [A] : v1_xboole_0(A) ),
    file(xboole_0,rc1_xboole_0),
    []).

fof(rc1_xreal_0,axiom,(
    ? [A] : 
      ( v1_xcmplx_0(A)
      & v1_xreal_0(A) ) ),
    file(xreal_0,rc1_xreal_0),
    []).

fof(rc2_funct_2,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_relset_1(B,A,A)
      & v1_relat_1(B)
      & v1_funct_1(B)
      & v2_funct_1(B)
      & v1_funct_2(B,A,A)
      & v2_funct_2(B,A,A)
      & v3_funct_2(B,A,A) ) ),
    file(funct_2,rc2_funct_2),
    []).

fof(rc2_int_1,axiom,(
    ? [A] : v1_int_1(A) ),
    file(int_1,rc2_int_1),
    []).

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_xboole_0,axiom,(
    ? [A] : ~ v1_xboole_0(A) ),
    file(xboole_0,rc2_xboole_0),
    []).

fof(rc2_xreal_0,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & v2_xreal_0(A)
      & ~ v3_xreal_0(A) ) ),
    file(xreal_0,rc2_xreal_0),
    []).

fof(rc3_finset_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B)
          & v1_finset_1(B) ) ) ),
    file(finset_1,rc3_finset_1),
    []).

fof(rc3_fsm_1,axiom,(
    ! [A] : 
    ? [B] : 
      ( l1_fsm_1(B,A)
      & ~ v3_struct_0(B)
      & v6_group_1(B) ) ),
    file(fsm_1,rc3_fsm_1),
    []).

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

fof(rc3_xreal_0,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & ~ v2_xreal_0(A)
      & v3_xreal_0(A) ) ),
    file(xreal_0,rc3_xreal_0),
    []).

fof(rc4_finset_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B)
          & v1_finset_1(B) ) ) ),
    file(finset_1,rc4_finset_1),
    []).

fof(rc4_fsm_1,axiom,(
    ? [A] : 
      ( l1_struct_0(A)
      & ~ v3_struct_0(A)
      & v6_group_1(A) ) ),
    file(fsm_1,rc4_fsm_1),
    []).

fof(rc4_xreal_0,axiom,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & ~ v2_xreal_0(A)
      & ~ v3_xreal_0(A) ) ),
    file(xreal_0,rc4_xreal_0),
    []).

fof(rc5_fsm_1,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(B)
     => ? [C] : 
          ( l2_fsm_1(C,A,B)
          & v2_fsm_1(C,A,B) ) ) ),
    file(fsm_1,rc5_fsm_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(rc7_fsm_1,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(B)
     => ? [C] : 
          ( l2_fsm_1(C,A,B)
          & ~ v3_struct_0(C)
          & v6_group_1(C) ) ) ),
    file(fsm_1,rc7_fsm_1),
    []).

fof(rc9_fsm_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ? [C] : 
          ( l2_fsm_1(C,A,B)
          & ~ v3_struct_0(C)
          & v6_group_1(C)
          & v5_fsm_1(C,A,B) ) ) ),
    file(fsm_1,rc9_fsm_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_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(redefinition_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m2_subset_1(C,A,B)
        <=> m1_subset_1(C,B) ) ) ),
    file(subset_1,m2_subset_1),
    []).

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

fof(reflexivity_r5_fsm_1,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & ~ v3_struct_0(C)
        & l2_fsm_1(C,A,B)
        & m1_subset_1(D,u1_struct_0(C))
        & m1_subset_1(E,u1_struct_0(C)) )
     => r5_fsm_1(A,B,C,D,D) ) ),
    file(fsm_1,r5_fsm_1),
    []).

fof(reflexivity_r7_fsm_1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & ~ v3_struct_0(C)
        & l2_fsm_1(C,A,B)
        & ~ v3_struct_0(D)
        & l2_fsm_1(D,A,B) )
     => r7_fsm_1(A,B,C,C) ) ),
    file(fsm_1,r7_fsm_1),
    []).

fof(s4_funct_2__e3_89__fsm_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & ~ v3_struct_0(C)
        & v6_group_1(C)
        & v5_fsm_1(C,A,B)
        & l2_fsm_1(C,A,B) )
     => ? [D] : 
          ( v1_funct_1(D)
          & v1_funct_2(D,u1_struct_0(C),k8_fsm_1(A,B,C))
          & m2_relset_1(D,u1_struct_0(C),k8_fsm_1(A,B,C))
          & ! [E] : 
              ( m1_subset_1(E,u1_struct_0(C))
             => k8_funct_2(u1_struct_0(C),k8_fsm_1(A,B,C),D,E) = k8_funct_2(u1_struct_0(C),k8_fsm_1(A,B,C),k2_borsuk_1(u1_struct_0(C),k8_fsm_1(A,B,C)),E) ) ) ) ),
    file(fsm_1,s4_funct_2__e3_89__fsm_1),
    []).

fof(symmetry_r5_fsm_1,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & ~ v3_struct_0(C)
        & l2_fsm_1(C,A,B)
        & m1_subset_1(D,u1_struct_0(C))
        & m1_subset_1(E,u1_struct_0(C)) )
     => ( r5_fsm_1(A,B,C,D,E)
       => r5_fsm_1(A,B,C,E,D) ) ) ),
    file(fsm_1,r5_fsm_1),
    []).

fof(symmetry_r7_fsm_1,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & ~ v3_struct_0(C)
        & l2_fsm_1(C,A,B)
        & ~ v3_struct_0(D)
        & l2_fsm_1(D,A,B) )
     => ( r7_fsm_1(A,B,C,D)
       => r7_fsm_1(A,B,D,C) ) ) ),
    file(fsm_1,r7_fsm_1),
    []).

fof(t11_fsm_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_eqrel_1(B,A)
         => ! [C] : ~ ( r2_hidden(C,B)
              & ! [D] : 
                  ( m1_subset_1(D,A)
                 => ~ r2_hidden(D,C) ) ) ) ) ),
    file(fsm_1,t11_fsm_1),
    []).

fof(t12_relset_1,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
     => ( r1_tarski(k1_relat_1(C),A)
        & r1_tarski(k2_relat_1(C),B) ) ) ),
    file(relset_1,t12_relset_1),
    []).

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

fof(t25_funct_2,axiom,(
    ! [A,B,C] : 
      ( ( v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m2_relset_1(C,A,B) )
     => ( ( B = k1_xboole_0
         => A = k1_xboole_0 )
       => ( v2_funct_1(C)
        <=> ! [D,E] : 
              ( ( r2_hidden(D,A)
                & r2_hidden(E,A)
                & k1_funct_1(C,D) = k1_funct_1(C,E) )
             => D = E ) ) ) ) ),
    file(funct_2,t25_funct_2),
    []).

fof(t29_borsuk_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ( ~ v1_xboole_0(B)
            & m1_eqrel_1(B,A) )
         => ! [C] : 
              ( m1_subset_1(C,A)
             => ! [D] : 
                  ( m2_subset_1(D,k1_zfmisc_1(A),B)
                 => ( r2_hidden(C,D)
                   => D = k8_funct_2(A,B,k2_borsuk_1(A,B),C) ) ) ) ) ) ),
    file(borsuk_1,t29_borsuk_1),
    []).

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

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

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

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

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

fof(t6_funct_2,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_funct_1(D)
        & v1_funct_2(D,A,B)
        & m2_relset_1(D,A,B) )
     => ( r2_hidden(C,A)
       => ( B = k1_xboole_0
          | r2_hidden(k1_funct_1(D,C),k2_relat_1(D)) ) ) ) ),
    file(funct_2,t6_funct_2),
    []).

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

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