% Mizar problem: t40_glib_002,glib_002,2469,26 
fof(t40_glib_002,conjecture,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v2_glib_000(A)
        & v1_glib_002(A)
        & m1_glib_000(A) )
     => r1_xreal_0(k16_glib_000(A),k1_nat_1(k18_glib_000(A),1)) ) ),
    inference(mizar_bg_added,[status(thm)],[antisymmetry_r2_hidden,cc10_glib_000,cc11_glib_000,cc12_glib_000,cc15_glib_000,cc16_glib_000,cc17_glib_000,cc18_glib_000,cc19_glib_000,cc1_abian,cc1_card_1,cc1_finset_1,cc1_glib_000,cc1_glib_002,cc1_nat_1,cc2_card_1,cc2_finset_1,cc2_glib_000,cc2_glib_002,cc2_int_1,cc2_nat_1,cc3_card_1,cc3_glib_000,cc3_glib_002,cc3_int_1,cc3_nat_1,cc3_polynom1,cc4_glib_000,cc4_glib_002,cc4_int_1,cc5_glib_000,cc5_glib_002,cc5_polynom1,cc6_glib_000,cc7_glib_000,cc7_glib_002,cc8_glib_000,cc9_glib_000,commutativity_k1_nat_1,commutativity_k2_xcmplx_0,commutativity_k3_real_1,connectedness_r1_xreal_0,d51_glib_000,dt_k15_glib_000,dt_k16_glib_000,dt_k17_glib_000,dt_k18_glib_000,dt_k1_card_1,dt_k1_card_fil,dt_k1_nat_1,dt_k1_numbers,dt_k1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k22_glib_000,dt_k29_glib_000,dt_k2_xcmplx_0,dt_k3_real_1,dt_k4_card_1,dt_k4_xboole_0,dt_k5_numbers,dt_k5_ordinal2,dt_k5_real_1,dt_k6_glib_000,dt_k6_xcmplx_0,dt_k7_glib_000,dt_m1_glib_000,dt_m1_subset_1,dt_m2_glib_000,dt_m2_subset_1,dt_m3_glib_000,existence_m1_glib_000,existence_m1_subset_1,existence_m2_glib_000,existence_m2_subset_1,existence_m3_glib_000,fc12_finset_1,fc14_polynom1,fc17_abian,fc1_finset_1,fc1_glib_000,fc1_glib_002,fc1_int_1,fc1_nat_1,fc1_ordinal2,fc20_polynom1,fc2_card_1,fc3_nat_1,fc3_polynom1,fc4_glib_000,fc4_int_1,fc4_nat_1,fc5_glib_000,fc6_glib_000,fc6_int_1,fc8_int_1,fc9_int_1,l33_glib_002,l34_glib_002,rc11_polynom1,rc1_card_1,rc1_finset_1,rc1_glib_000,rc1_glib_002,rc1_int_1,rc1_nat_1,rc2_card_1,rc2_finset_1,rc2_glib_000,rc2_glib_002,rc2_int_1,rc2_nat_1,rc2_polynom1,rc3_finset_1,rc3_glib_000,rc3_glib_002,rc3_nat_1,rc4_finset_1,rc4_glib_000,rc5_glib_000,rc5_glib_002,rc7_polynom1,redefinition_k16_glib_000,redefinition_k18_glib_000,redefinition_k1_card_fil,redefinition_k1_nat_1,redefinition_k3_real_1,redefinition_k4_card_1,redefinition_k5_numbers,redefinition_k5_real_1,redefinition_m2_subset_1,reflexivity_r1_tarski,reflexivity_r1_xreal_0,s1_glib_000__e3_77__glib_002,spc0_boole,spc1_boole,spc1_numerals,t19_nat_1,t1_arithm,t1_numerals,t1_real,t1_subset,t29_glib_000,t2_glib_002,t2_real,t2_subset,t37_nat_1,t38_nat_1,t3_boole,t3_real,t3_subset,t4_arithm,t4_boole,t4_real,t4_subset,t51_glib_000,t59_card_2,t5_real,t5_subset,t6_boole,t6_real,t7_boole,t7_real,t8_boole,t8_real,t9_xreal_1]),
    [file(glib_002,t40_glib_002)]).

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

fof(cc10_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v4_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m2_glib_000(B,A)
         => v4_glib_000(B) ) ) ),
    file(glib_000,cc10_glib_000),
    []).

fof(cc11_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v5_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m2_glib_000(B,A)
         => v5_glib_000(B) ) ) ),
    file(glib_000,cc11_glib_000),
    []).

fof(cc12_glib_000,axiom,(
    ! [A,B,C] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & ~ v1_xboole_0(B)
        & v1_finset_1(B)
        & m1_subset_1(B,k1_zfmisc_1(k6_glib_000(A)))
        & v1_finset_1(C)
        & m1_subset_1(C,k1_zfmisc_1(k22_glib_000(A,B))) )
     => ! [D] : 
          ( m3_glib_000(D,A,B,C)
         => v2_glib_000(D) ) ) ),
    file(glib_000,cc12_glib_000),
    []).

fof(cc15_glib_000,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(k6_glib_000(A))) )
     => ! [C] : 
          ( m3_glib_000(C,A,B,k1_xboole_0)
         => v7_glib_000(C) ) ) ),
    file(glib_000,cc15_glib_000),
    []).

fof(cc16_glib_000,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m1_subset_1(B,k1_zfmisc_1(k7_glib_000(A))) )
     => ! [C] : 
          ( m3_glib_000(C,A,k6_glib_000(A),B)
         => v9_glib_000(C,A) ) ) ),
    file(glib_000,cc16_glib_000),
    []).

fof(cc17_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m3_glib_000(B,A,k6_glib_000(A),k1_xboole_0)
         => v9_glib_000(B,A) ) ) ),
    file(glib_000,cc17_glib_000),
    []).

fof(cc18_glib_000,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [C] : 
          ( m3_glib_000(C,A,k6_glib_000(A),k1_card_fil(k7_glib_000(A),k1_tarski(B)))
         => v9_glib_000(C,A) ) ) ),
    file(glib_000,cc18_glib_000),
    []).

fof(cc19_glib_000,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [C] : 
          ( m3_glib_000(C,A,k6_glib_000(A),k1_card_fil(k7_glib_000(A),B))
         => v9_glib_000(C,A) ) ) ),
    file(glib_000,cc19_glib_000),
    []).

fof(cc1_abian,axiom,(
    ! [A] : 
      ( v2_setfam_1(A)
     => v1_realset1(A) ) ),
    file(abian,cc1_abian),
    []).

fof(cc1_card_1,axiom,(
    ! [A] : 
      ( v1_card_1(A)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A) ) ) ),
    file(card_1,cc1_card_1),
    []).

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

fof(cc1_glib_000,axiom,(
    ! [A] : 
      ( m1_glib_000(A)
     => ( ( v1_glib_000(A)
          & v5_glib_000(A) )
       => ( v1_glib_000(A)
          & v6_glib_000(A) ) ) ) ),
    file(glib_000,cc1_glib_000),
    []).

fof(cc1_glib_002,axiom,(
    ! [A] : 
      ( m1_glib_000(A)
     => ( ( v1_glib_000(A)
          & v4_glib_000(A) )
       => ( v1_glib_000(A)
          & v1_glib_002(A) ) ) ) ),
    file(glib_002,cc1_glib_002),
    []).

fof(cc1_nat_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A) ) ) ),
    file(nat_1,cc1_nat_1),
    []).

fof(cc2_card_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A)
        & v1_card_1(A) ) ) ),
    file(card_1,cc2_card_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_glib_000,axiom,(
    ! [A] : 
      ( m1_glib_000(A)
     => ( ( v1_glib_000(A)
          & v7_glib_000(A) )
       => ( v1_glib_000(A)
          & v3_glib_000(A)
          & v5_glib_000(A) ) ) ) ),
    file(glib_000,cc2_glib_000),
    []).

fof(cc2_glib_002,axiom,(
    ! [A] : 
      ( m1_glib_000(A)
     => ( ( v1_glib_000(A)
          & v3_glib_000(A)
          & v4_glib_000(A) )
       => ( v1_glib_000(A)
          & v3_glib_002(A) ) ) ) ),
    file(glib_002,cc2_glib_002),
    []).

fof(cc2_int_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A)
        & v1_int_1(A) ) ) ),
    file(int_1,cc2_int_1),
    []).

fof(cc2_nat_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(nat_1,cc2_nat_1),
    []).

fof(cc3_card_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_finset_1(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A)
        & v1_card_1(A) ) ) ),
    file(card_1,cc3_card_1),
    []).

fof(cc3_glib_000,axiom,(
    ! [A] : 
      ( m1_glib_000(A)
     => ( ( v1_glib_000(A)
          & v3_glib_000(A)
          & v5_glib_000(A) )
       => ( v1_glib_000(A)
          & v7_glib_000(A) ) ) ) ),
    file(glib_000,cc3_glib_000),
    []).

fof(cc3_glib_002,axiom,(
    ! [A] : 
      ( m1_glib_000(A)
     => ( ( v1_glib_000(A)
          & v2_glib_002(A) )
       => ( v1_glib_000(A)
          & v3_glib_000(A)
          & v5_glib_000(A)
          & v6_glib_000(A)
          & v7_glib_000(A)
          & v8_glib_000(A) ) ) ) ),
    file(glib_002,cc3_glib_002),
    []).

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

fof(cc3_nat_1,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ( v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(nat_1,cc3_nat_1),
    []).

fof(cc3_polynom1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v7_seqm_3(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_seq_1(A) ) ) ),
    file(polynom1,cc3_polynom1),
    []).

fof(cc4_glib_000,axiom,(
    ! [A] : 
      ( m1_glib_000(A)
     => ( ( v1_glib_000(A)
          & v3_glib_000(A)
          & v6_glib_000(A) )
       => ( v1_glib_000(A)
          & v8_glib_000(A) ) ) ) ),
    file(glib_000,cc4_glib_000),
    []).

fof(cc4_glib_002,axiom,(
    ! [A] : 
      ( m1_glib_000(A)
     => ( ( v1_glib_000(A)
          & v3_glib_002(A) )
       => ( v1_glib_000(A)
          & v3_glib_000(A)
          & v5_glib_000(A)
          & v6_glib_000(A)
          & v7_glib_000(A)
          & v8_glib_000(A)
          & v1_glib_002(A)
          & v2_glib_002(A) ) ) ) ),
    file(glib_002,cc4_glib_002),
    []).

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(cc5_glib_000,axiom,(
    ! [A] : 
      ( m1_glib_000(A)
     => ( ( v1_glib_000(A)
          & v8_glib_000(A) )
       => ( v1_glib_000(A)
          & v3_glib_000(A)
          & v6_glib_000(A) ) ) ) ),
    file(glib_000,cc5_glib_000),
    []).

fof(cc5_glib_002,axiom,(
    ! [A] : 
      ( m1_glib_000(A)
     => ( ( v1_glib_000(A)
          & v1_glib_002(A)
          & v2_glib_002(A) )
       => ( v1_glib_000(A)
          & v3_glib_000(A)
          & v5_glib_000(A)
          & v6_glib_000(A)
          & v7_glib_000(A)
          & v8_glib_000(A)
          & v1_glib_002(A)
          & v2_glib_002(A)
          & v3_glib_002(A) ) ) ) ),
    file(glib_002,cc5_glib_002),
    []).

fof(cc5_polynom1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finset_1(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_polynom1(A) ) ) ),
    file(polynom1,cc5_polynom1),
    []).

fof(cc6_glib_000,axiom,(
    ! [A] : 
      ( m1_glib_000(A)
     => ( ( v1_glib_000(A)
          & v3_glib_000(A)
          & v4_glib_000(A) )
       => ( v1_glib_000(A)
          & v2_glib_000(A) ) ) ) ),
    file(glib_000,cc6_glib_000),
    []).

fof(cc7_glib_000,axiom,(
    ! [A] : 
      ( m1_glib_000(A)
     => ( ( v1_glib_000(A)
          & v4_glib_000(A)
          & v6_glib_000(A) )
       => ( v1_glib_000(A)
          & v2_glib_000(A) ) ) ) ),
    file(glib_000,cc7_glib_000),
    []).

fof(cc7_glib_002,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v2_glib_002(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m2_glib_000(B,A)
         => ( v3_glib_000(B)
            & v5_glib_000(B)
            & v2_glib_002(B) ) ) ) ),
    file(glib_002,cc7_glib_002),
    []).

fof(cc8_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v2_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m2_glib_000(B,A)
         => v2_glib_000(B) ) ) ),
    file(glib_000,cc8_glib_000),
    []).

fof(cc9_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v3_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m2_glib_000(B,A)
         => v3_glib_000(B) ) ) ),
    file(glib_000,cc9_glib_000),
    []).

fof(commutativity_k1_nat_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => k1_nat_1(A,B) = k1_nat_1(B,A) ) ),
    file(nat_1,k1_nat_1),
    []).

fof(commutativity_k2_xcmplx_0,axiom,(
    ! [A,B] : 
      ( ( v1_xcmplx_0(A)
        & v1_xcmplx_0(B) )
     => k2_xcmplx_0(A,B) = k2_xcmplx_0(B,A) ) ),
    file(xcmplx_0,k2_xcmplx_0),
    []).

fof(commutativity_k3_real_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k1_numbers)
        & m1_subset_1(B,k1_numbers) )
     => k3_real_1(A,B) = k3_real_1(B,A) ) ),
    file(real_1,k3_real_1),
    []).

fof(connectedness_r1_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => ( r1_xreal_0(A,B)
        | r1_xreal_0(B,A) ) ) ),
    file(xreal_0,r1_xreal_0),
    []).

fof(d51_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m1_subset_1(B,k6_glib_000(A))
         => ( v10_glib_000(B,A)
          <=> k29_glib_000(A,B) = k1_xboole_0 ) ) ) ),
    file(glib_000,d51_glib_000),
    []).

fof(dt_k15_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => v1_card_1(k15_glib_000(A)) ) ),
    file(glib_000,k15_glib_000),
    []).

fof(dt_k16_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v2_glib_000(A)
        & m1_glib_000(A) )
     => ( ~ v1_xboole_0(k16_glib_000(A))
        & m2_subset_1(k16_glib_000(A),k1_numbers,k5_numbers) ) ) ),
    file(glib_000,k16_glib_000),
    []).

fof(dt_k17_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => v1_card_1(k17_glib_000(A)) ) ),
    file(glib_000,k17_glib_000),
    []).

fof(dt_k18_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v2_glib_000(A)
        & m1_glib_000(A) )
     => m2_subset_1(k18_glib_000(A),k1_numbers,k5_numbers) ) ),
    file(glib_000,k18_glib_000),
    []).

fof(dt_k1_card_1,axiom,(
    ! [A] : v1_card_1(k1_card_1(A)) ),
    file(card_1,k1_card_1),
    []).

fof(dt_k1_card_fil,axiom,(
    ! [A,B] : m1_subset_1(k1_card_fil(A,B),k1_zfmisc_1(A)) ),
    file(card_fil,k1_card_fil),
    []).

fof(dt_k1_nat_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => m2_subset_1(k1_nat_1(A,B),k1_numbers,k5_numbers) ) ),
    file(nat_1,k1_nat_1),
    []).

fof(dt_k1_numbers,axiom,(
    $true ),
    file(numbers,k1_numbers),
    []).

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_k22_glib_000,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => m1_subset_1(k22_glib_000(A,B),k1_zfmisc_1(k7_glib_000(A))) ) ),
    file(glib_000,k22_glib_000),
    []).

fof(dt_k29_glib_000,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m1_subset_1(B,k6_glib_000(A)) )
     => m1_subset_1(k29_glib_000(A,B),k1_zfmisc_1(k7_glib_000(A))) ) ),
    file(glib_000,k29_glib_000),
    []).

fof(dt_k2_xcmplx_0,axiom,(
    $true ),
    file(xcmplx_0,k2_xcmplx_0),
    []).

fof(dt_k3_real_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k1_numbers)
        & m1_subset_1(B,k1_numbers) )
     => m1_subset_1(k3_real_1(A,B),k1_numbers) ) ),
    file(real_1,k3_real_1),
    []).

fof(dt_k4_card_1,axiom,(
    ! [A] : 
      ( v1_finset_1(A)
     => m2_subset_1(k4_card_1(A),k1_numbers,k5_numbers) ) ),
    file(card_1,k4_card_1),
    []).

fof(dt_k4_xboole_0,axiom,(
    $true ),
    file(xboole_0,k4_xboole_0),
    []).

fof(dt_k5_numbers,axiom,(
    m1_subset_1(k5_numbers,k1_zfmisc_1(k1_numbers)) ),
    file(numbers,k5_numbers),
    []).

fof(dt_k5_ordinal2,axiom,(
    $true ),
    file(ordinal2,k5_ordinal2),
    []).

fof(dt_k5_real_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k1_numbers)
        & m1_subset_1(B,k1_numbers) )
     => m1_subset_1(k5_real_1(A,B),k1_numbers) ) ),
    file(real_1,k5_real_1),
    []).

fof(dt_k6_glib_000,axiom,(
    $true ),
    file(glib_000,k6_glib_000),
    []).

fof(dt_k6_xcmplx_0,axiom,(
    $true ),
    file(xcmplx_0,k6_xcmplx_0),
    []).

fof(dt_k7_glib_000,axiom,(
    $true ),
    file(glib_000,k7_glib_000),
    []).

fof(dt_m1_glib_000,axiom,(
    ! [A] : 
      ( m1_glib_000(A)
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finset_1(A) ) ) ),
    file(glib_000,m1_glib_000),
    []).

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

fof(dt_m2_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m2_glib_000(B,A)
         => ( v1_glib_000(B)
            & m1_glib_000(B) ) ) ) ),
    file(glib_000,m2_glib_000),
    []).

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_m3_glib_000,axiom,(
    ! [A,B,C] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [D] : 
          ( m3_glib_000(D,A,B,C)
         => m2_glib_000(D,A) ) ) ),
    file(glib_000,m3_glib_000),
    []).

fof(existence_m1_glib_000,axiom,(
    ? [A] : m1_glib_000(A) ),
    file(glib_000,m1_glib_000),
    []).

fof(existence_m1_subset_1,axiom,(
    ! [A] : 
    ? [B] : m1_subset_1(B,A) ),
    file(subset_1,m1_subset_1),
    []).

fof(existence_m2_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ? [B] : m2_glib_000(B,A) ) ),
    file(glib_000,m2_glib_000),
    []).

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(existence_m3_glib_000,axiom,(
    ! [A,B,C] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ? [D] : m3_glib_000(D,A,B,C) ) ),
    file(glib_000,m3_glib_000),
    []).

fof(fc12_finset_1,axiom,(
    ! [A,B] : 
      ( v1_finset_1(A)
     => v1_finset_1(k4_xboole_0(A,B)) ) ),
    file(finset_1,fc12_finset_1),
    []).

fof(fc14_polynom1,axiom,
    ( 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_xboole_0(k1_xboole_0)
    & v1_finset_1(k1_xboole_0)
    & v1_finseq_1(k1_xboole_0)
    & v1_funcop_1(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)
    & v1_seq_1(k1_xboole_0)
    & v1_matrlin(k1_xboole_0)
    & v7_seqm_3(k1_xboole_0) ),
    file(polynom1,fc14_polynom1),
    []).

fof(fc17_abian,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ( ~ v1_xboole_0(k1_zfmisc_1(A))
        & ~ v2_setfam_1(k1_zfmisc_1(A)) ) ) ),
    file(abian,fc17_abian),
    []).

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_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ~ v1_xboole_0(k6_glib_000(A)) ) ),
    file(glib_000,fc1_glib_000),
    []).

fof(fc1_glib_002,axiom,(
    ! [A] : 
      ( v1_finset_1(A)
     => v1_finset_1(k1_zfmisc_1(A)) ) ),
    file(glib_002,fc1_glib_002),
    []).

fof(fc1_int_1,axiom,(
    ! [A,B] : 
      ( ( v1_int_1(A)
        & v1_int_1(B) )
     => ( v1_xcmplx_0(k2_xcmplx_0(A,B))
        & v1_xreal_0(k2_xcmplx_0(A,B))
        & v1_int_1(k2_xcmplx_0(A,B)) ) ) ),
    file(int_1,fc1_int_1),
    []).

fof(fc1_nat_1,axiom,(
    ! [A,B] : 
      ( ( v4_ordinal2(A)
        & v4_ordinal2(B) )
     => ( v4_ordinal2(k2_xcmplx_0(A,B))
        & v1_xcmplx_0(k2_xcmplx_0(A,B))
        & v1_xreal_0(k2_xcmplx_0(A,B)) ) ) ),
    file(nat_1,fc1_nat_1),
    []).

fof(fc1_ordinal2,axiom,
    ( v1_ordinal1(k5_ordinal2)
    & v2_ordinal1(k5_ordinal2)
    & v3_ordinal1(k5_ordinal2)
    & ~ v1_xboole_0(k5_ordinal2) ),
    file(ordinal2,fc1_ordinal2),
    []).

fof(fc20_polynom1,axiom,
    ( 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_xboole_0(k1_xboole_0)
    & v1_finset_1(k1_xboole_0)
    & v1_finseq_1(k1_xboole_0)
    & v1_funcop_1(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)
    & v1_seq_1(k1_xboole_0)
    & v1_matrlin(k1_xboole_0)
    & v7_seqm_3(k1_xboole_0)
    & v1_polynom1(k1_xboole_0) ),
    file(polynom1,fc20_polynom1),
    []).

fof(fc2_card_1,axiom,(
    ! [A] : 
      ( v1_finset_1(A)
     => ( v1_ordinal1(k1_card_1(A))
        & v2_ordinal1(k1_card_1(A))
        & v3_ordinal1(k1_card_1(A))
        & v1_finset_1(k1_card_1(A))
        & v1_card_1(k1_card_1(A)) ) ) ),
    file(card_1,fc2_card_1),
    []).

fof(fc3_nat_1,axiom,(
    ! [A,B] : 
      ( ( v4_ordinal2(A)
        & ~ v1_xboole_0(B)
        & v4_ordinal2(B) )
     => ( ~ v1_xboole_0(k2_xcmplx_0(A,B))
        & v4_ordinal2(k2_xcmplx_0(A,B))
        & v1_xcmplx_0(k2_xcmplx_0(A,B))
        & v1_xreal_0(k2_xcmplx_0(A,B)) ) ) ),
    file(nat_1,fc3_nat_1),
    []).

fof(fc3_polynom1,axiom,
    ( 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_xboole_0(k1_xboole_0)
    & v1_finset_1(k1_xboole_0)
    & v1_finseq_1(k1_xboole_0)
    & v1_funcop_1(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)
    & v1_matrlin(k1_xboole_0) ),
    file(polynom1,fc3_polynom1),
    []).

fof(fc4_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v2_glib_000(A)
        & m1_glib_000(A) )
     => ( ~ v1_xboole_0(k6_glib_000(A))
        & v1_finset_1(k6_glib_000(A)) ) ) ),
    file(glib_000,fc4_glib_000),
    []).

fof(fc4_int_1,axiom,(
    ! [A,B] : 
      ( ( v1_int_1(A)
        & v1_int_1(B) )
     => ( v1_xcmplx_0(k6_xcmplx_0(A,B))
        & v1_xreal_0(k6_xcmplx_0(A,B))
        & v1_int_1(k6_xcmplx_0(A,B)) ) ) ),
    file(int_1,fc4_int_1),
    []).

fof(fc4_nat_1,axiom,(
    ! [A,B] : 
      ( ( v4_ordinal2(A)
        & ~ v1_xboole_0(B)
        & v4_ordinal2(B) )
     => ( ~ v1_xboole_0(k2_xcmplx_0(B,A))
        & v4_ordinal2(k2_xcmplx_0(B,A))
        & v1_xcmplx_0(k2_xcmplx_0(B,A))
        & v1_xreal_0(k2_xcmplx_0(B,A)) ) ) ),
    file(nat_1,fc4_nat_1),
    []).

fof(fc5_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v2_glib_000(A)
        & m1_glib_000(A) )
     => v1_finset_1(k7_glib_000(A)) ) ),
    file(glib_000,fc5_glib_000),
    []).

fof(fc6_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v4_glib_000(A)
        & m1_glib_000(A) )
     => ( ~ v1_xboole_0(k6_glib_000(A))
        & v1_finset_1(k6_glib_000(A)) ) ) ),
    file(glib_000,fc6_glib_000),
    []).

fof(fc6_int_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & v1_int_1(B) )
     => ( v1_xcmplx_0(k2_xcmplx_0(B,A))
        & v1_xreal_0(k2_xcmplx_0(B,A))
        & v1_int_1(k2_xcmplx_0(B,A)) ) ) ),
    file(int_1,fc6_int_1),
    []).

fof(fc8_int_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & v1_int_1(B) )
     => ( v1_xcmplx_0(k6_xcmplx_0(B,A))
        & v1_xreal_0(k6_xcmplx_0(B,A))
        & v1_int_1(k6_xcmplx_0(B,A)) ) ) ),
    file(int_1,fc8_int_1),
    []).

fof(fc9_int_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => ( v1_xcmplx_0(k6_xcmplx_0(A,B))
        & v1_xreal_0(k6_xcmplx_0(A,B))
        & v1_int_1(k6_xcmplx_0(A,B)) ) ) ),
    file(int_1,fc9_int_1),
    []).

fof(l33_glib_002,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v1_glib_002(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m1_subset_1(B,k6_glib_000(A))
         => ! [C] : 
              ( m3_glib_000(C,A,k1_card_fil(k6_glib_000(A),k1_tarski(B)),k22_glib_000(A,k1_card_fil(k6_glib_000(A),k1_tarski(B))))
             => ( ~ v5_glib_002(B,A)
               => v1_glib_002(C) ) ) ) ) ),
    file(glib_002,l33_glib_002),
    []).

fof(l34_glib_002,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v2_glib_000(A)
        & ~ v4_glib_000(A)
        & v1_glib_002(A)
        & m1_glib_000(A) )
     => ? [B] : 
          ( m1_subset_1(B,k6_glib_000(A))
          & ? [C] : 
              ( m1_subset_1(C,k6_glib_000(A))
              & B != C
              & ~ v5_glib_002(B,A)
              & ~ v5_glib_002(C,A) ) ) ) ),
    file(glib_002,l34_glib_002),
    []).

fof(rc11_polynom1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & ~ v1_xboole_0(A)
      & v1_seq_1(A)
      & v7_seqm_3(A)
      & v1_polynom1(A) ) ),
    file(polynom1,rc11_polynom1),
    []).

fof(rc1_card_1,axiom,(
    ? [A] : v1_card_1(A) ),
    file(card_1,rc1_card_1),
    []).

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

fof(rc1_glib_000,axiom,(
    ? [A] : 
      ( m1_glib_000(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A)
      & v1_glib_000(A) ) ),
    file(glib_000,rc1_glib_000),
    []).

fof(rc1_glib_002,axiom,(
    ? [A] : 
      ( m1_glib_000(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A)
      & v1_polynom1(A)
      & v1_glib_000(A)
      & v2_glib_000(A)
      & v3_glib_000(A)
      & v4_glib_000(A)
      & v5_glib_000(A)
      & v6_glib_000(A)
      & v7_glib_000(A)
      & v8_glib_000(A)
      & v1_glib_002(A)
      & v2_glib_002(A)
      & v3_glib_002(A) ) ),
    file(glib_002,rc1_glib_002),
    []).

fof(rc1_int_1,axiom,(
    ? [A] : 
      ( m1_subset_1(A,k1_numbers)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & v1_int_1(A) ) ),
    file(int_1,rc1_int_1),
    []).

fof(rc1_nat_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v4_ordinal2(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A) ) ),
    file(nat_1,rc1_nat_1),
    []).

fof(rc2_card_1,axiom,(
    ? [A] : 
      ( v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A)
      & v1_finset_1(A)
      & v1_card_1(A) ) ),
    file(card_1,rc2_card_1),
    []).

fof(rc2_finset_1,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
      & v1_xboole_0(B)
      & v1_relat_1(B)
      & v1_funct_1(B)
      & v2_funct_1(B)
      & v1_ordinal1(B)
      & v2_ordinal1(B)
      & v3_ordinal1(B)
      & v4_ordinal2(B)
      & v1_finset_1(B) ) ),
    file(finset_1,rc2_finset_1),
    []).

fof(rc2_glib_000,axiom,(
    ? [A] : 
      ( m1_glib_000(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A)
      & v1_glib_000(A)
      & v2_glib_000(A)
      & v3_glib_000(A)
      & v4_glib_000(A)
      & v5_glib_000(A)
      & v6_glib_000(A)
      & v7_glib_000(A)
      & v8_glib_000(A) ) ),
    file(glib_000,rc2_glib_000),
    []).

fof(rc2_glib_002,axiom,(
    ? [A] : 
      ( m1_glib_000(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A)
      & v1_polynom1(A)
      & v1_glib_000(A)
      & v2_glib_000(A)
      & v3_glib_000(A)
      & ~ v4_glib_000(A)
      & v5_glib_000(A)
      & v6_glib_000(A)
      & v7_glib_000(A)
      & v8_glib_000(A)
      & v1_glib_002(A)
      & v2_glib_002(A)
      & v3_glib_002(A) ) ),
    file(glib_002,rc2_glib_002),
    []).

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

fof(rc2_nat_1,axiom,(
    ? [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k1_numbers))
      & ~ v1_xboole_0(A)
      & v3_ordinal1(A) ) ),
    file(nat_1,rc2_nat_1),
    []).

fof(rc2_polynom1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A)
      & v1_funcop_1(A)
      & v1_matrlin(A) ) ),
    file(polynom1,rc2_polynom1),
    []).

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_glib_000,axiom,(
    ? [A] : 
      ( m1_glib_000(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A)
      & v1_glib_000(A)
      & v2_glib_000(A)
      & v3_glib_000(A)
      & ~ v4_glib_000(A)
      & v5_glib_000(A)
      & v6_glib_000(A)
      & v7_glib_000(A)
      & v8_glib_000(A) ) ),
    file(glib_000,rc3_glib_000),
    []).

fof(rc3_glib_002,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ? [B] : 
          ( m2_glib_000(B,A)
          & v1_relat_1(B)
          & v1_funct_1(B)
          & v1_finset_1(B)
          & v1_polynom1(B)
          & v1_glib_000(B)
          & v2_glib_000(B)
          & v3_glib_000(B)
          & v4_glib_000(B)
          & v5_glib_000(B)
          & v6_glib_000(B)
          & v7_glib_000(B)
          & v8_glib_000(B)
          & v1_glib_002(B)
          & v2_glib_002(B)
          & v3_glib_002(B) ) ) ),
    file(glib_002,rc3_glib_002),
    []).

fof(rc3_nat_1,axiom,(
    ? [A] : 
      ( m1_subset_1(A,k5_numbers)
      & ~ v1_xboole_0(A)
      & v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A)
      & v4_ordinal2(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A) ) ),
    file(nat_1,rc3_nat_1),
    []).

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_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ? [B] : 
          ( m2_glib_000(B,A)
          & v1_relat_1(B)
          & v1_funct_1(B)
          & v1_finset_1(B)
          & v1_glib_000(B)
          & v2_glib_000(B)
          & v3_glib_000(B)
          & v4_glib_000(B)
          & v5_glib_000(B)
          & v6_glib_000(B)
          & v7_glib_000(B)
          & v8_glib_000(B) ) ) ),
    file(glib_000,rc4_glib_000),
    []).

fof(rc5_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ? [B] : 
          ( m2_glib_000(B,A)
          & v1_relat_1(B)
          & v1_funct_1(B)
          & v1_finset_1(B)
          & v1_glib_000(B)
          & v9_glib_000(B,A) ) ) ),
    file(glib_000,rc5_glib_000),
    []).

fof(rc5_glib_002,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v2_glib_000(A)
        & ~ v4_glib_000(A)
        & v1_glib_002(A)
        & m1_glib_000(A) )
     => ? [B] : 
          ( m1_subset_1(B,k6_glib_000(A))
          & ~ v5_glib_002(B,A) ) ) ),
    file(glib_002,rc5_glib_002),
    []).

fof(rc7_polynom1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v1_seq_1(A)
      & v7_seqm_3(A) ) ),
    file(polynom1,rc7_polynom1),
    []).

fof(redefinition_k16_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v2_glib_000(A)
        & m1_glib_000(A) )
     => k16_glib_000(A) = k15_glib_000(A) ) ),
    file(glib_000,k16_glib_000),
    []).

fof(redefinition_k18_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v2_glib_000(A)
        & m1_glib_000(A) )
     => k18_glib_000(A) = k17_glib_000(A) ) ),
    file(glib_000,k18_glib_000),
    []).

fof(redefinition_k1_card_fil,axiom,(
    ! [A,B] : k1_card_fil(A,B) = k4_xboole_0(A,B) ),
    file(card_fil,k1_card_fil),
    []).

fof(redefinition_k1_nat_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => k1_nat_1(A,B) = k2_xcmplx_0(A,B) ) ),
    file(nat_1,k1_nat_1),
    []).

fof(redefinition_k3_real_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k1_numbers)
        & m1_subset_1(B,k1_numbers) )
     => k3_real_1(A,B) = k2_xcmplx_0(A,B) ) ),
    file(real_1,k3_real_1),
    []).

fof(redefinition_k4_card_1,axiom,(
    ! [A] : 
      ( v1_finset_1(A)
     => k4_card_1(A) = k1_card_1(A) ) ),
    file(card_1,k4_card_1),
    []).

fof(redefinition_k5_numbers,axiom,(
    k5_numbers = k5_ordinal2 ),
    file(numbers,k5_numbers),
    []).

fof(redefinition_k5_real_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k1_numbers)
        & m1_subset_1(B,k1_numbers) )
     => k5_real_1(A,B) = k6_xcmplx_0(A,B) ) ),
    file(real_1,k5_real_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_r1_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => r1_xreal_0(A,A) ) ),
    file(xreal_0,r1_xreal_0),
    []).

fof(s1_glib_000__e3_77__glib_002,axiom,
    ( ( ! [A] : 
          ( ( v1_glib_000(A)
            & v2_glib_000(A)
            & m1_glib_000(A) )
         => ( k16_glib_000(A) = 1
           => ( v1_glib_002(A)
             => r1_xreal_0(k16_glib_000(A),k1_nat_1(k18_glib_000(A),1)) ) ) )
      & ! [A] : 
          ( ( ~ v1_xboole_0(A)
            & m2_subset_1(A,k1_numbers,k5_numbers) )
         => ( ! [B] : 
                ( ( v1_glib_000(B)
                  & v2_glib_000(B)
                  & m1_glib_000(B) )
               => ( k16_glib_000(B) = A
                 => ( v1_glib_002(B)
                   => r1_xreal_0(k16_glib_000(B),k1_nat_1(k18_glib_000(B),1)) ) ) )
           => ! [B] : 
                ( ( v1_glib_000(B)
                  & v2_glib_000(B)
                  & m1_glib_000(B) )
               => ( k16_glib_000(B) = k1_nat_1(A,1)
                 => ( v1_glib_002(B)
                   => r1_xreal_0(k16_glib_000(B),k1_nat_1(k18_glib_000(B),1)) ) ) ) ) ) )
   => ! [A] : 
        ( ( v1_glib_000(A)
          & v2_glib_000(A)
          & m1_glib_000(A) )
       => ( v1_glib_002(A)
         => r1_xreal_0(k16_glib_000(A),k1_nat_1(k18_glib_000(A),1)) ) ) ),
    file(glib_002,s1_glib_000__e3_77__glib_002),
    []).

fof(spc0_boole,axiom,(
    v1_xboole_0(0) ),
    file(boole,spc0_boole),
    []).

fof(spc1_boole,axiom,(
    ~ v1_xboole_0(1) ),
    file(boole,spc1_boole),
    []).

fof(spc1_numerals,axiom,
    ( v2_xreal_0(1)
    & m1_subset_1(1,k5_numbers) ),
    file(numerals,spc1_numerals),
    []).

fof(t19_nat_1,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ~ ( 0 != A
          & r1_xreal_0(A,0) ) ) ),
    file(nat_1,t19_nat_1),
    []).

fof(t1_arithm,axiom,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => k2_xcmplx_0(A,0) = A ) ),
    file(arithm,t1_arithm),
    []).

fof(t1_numerals,axiom,(
    m1_subset_1(0,k5_numbers) ),
    file(numerals,t1_numerals),
    []).

fof(t1_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ( ( r1_xreal_0(A,B)
              & v2_xreal_0(A) )
           => v2_xreal_0(B) ) ) ) ),
    file(real,t1_real),
    []).

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

fof(t29_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v2_glib_000(A)
        & m1_glib_000(A) )
     => ( k16_glib_000(A) = 1
      <=> v4_glib_000(A) ) ) ),
    file(glib_000,t29_glib_000),
    []).

fof(t2_glib_002,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & ~ v4_glib_000(A)
        & v1_glib_002(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m1_subset_1(B,k6_glib_000(A))
         => ~ v10_glib_000(B,A) ) ) ),
    file(glib_002,t2_glib_002),
    []).

fof(t2_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ( ( r1_xreal_0(A,B)
              & v3_xreal_0(B) )
           => v3_xreal_0(A) ) ) ) ),
    file(real,t2_real),
    []).

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

fof(t37_nat_1,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ! [B] : 
          ( v4_ordinal2(B)
         => ! [C] : 
              ( v4_ordinal2(C)
             => ( r1_xreal_0(A,B)
               => r1_xreal_0(A,k2_xcmplx_0(B,C)) ) ) ) ) ),
    file(nat_1,t37_nat_1),
    []).

fof(t38_nat_1,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ! [B] : 
          ( v4_ordinal2(B)
         => ( ~ r1_xreal_0(k2_xcmplx_0(B,1),A)
          <=> r1_xreal_0(A,B) ) ) ) ),
    file(nat_1,t38_nat_1),
    []).

fof(t3_boole,axiom,(
    ! [A] : k4_xboole_0(A,k1_xboole_0) = A ),
    file(boole,t3_boole),
    []).

fof(t3_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ~ ( r1_xreal_0(A,B)
              & ~ v3_xreal_0(A)
              & v3_xreal_0(B) ) ) ) ),
    file(real,t3_real),
    []).

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

fof(t4_arithm,axiom,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => k6_xcmplx_0(A,0) = A ) ),
    file(arithm,t4_arithm),
    []).

fof(t4_boole,axiom,(
    ! [A] : k4_xboole_0(k1_xboole_0,A) = k1_xboole_0 ),
    file(boole,t4_boole),
    []).

fof(t4_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ~ ( r1_xreal_0(A,B)
              & ~ v2_xreal_0(B)
              & v2_xreal_0(A) ) ) ) ),
    file(real,t4_real),
    []).

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(t51_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v2_glib_000(A)
        & ~ v4_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m1_subset_1(B,k6_glib_000(A))
         => ! [C] : 
              ( m3_glib_000(C,A,k1_card_fil(k6_glib_000(A),k1_tarski(B)),k22_glib_000(A,k1_card_fil(k6_glib_000(A),k1_tarski(B))))
             => ( k1_nat_1(k16_glib_000(C),1) = k16_glib_000(A)
                & k1_nat_1(k18_glib_000(C),k4_card_1(k29_glib_000(A,B))) = k18_glib_000(A) ) ) ) ) ),
    file(glib_000,t51_glib_000),
    []).

fof(t59_card_2,axiom,(
    ! [A] : 
      ( k1_card_1(A) = 0
     => A = k1_xboole_0 ) ),
    file(card_2,t59_card_2),
    []).

fof(t5_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ( r1_xreal_0(A,B)
           => ( v1_xboole_0(B)
              | v3_xreal_0(A)
              | v2_xreal_0(B) ) ) ) ) ),
    file(real,t5_real),
    []).

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_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ( r1_xreal_0(A,B)
           => ( v1_xboole_0(A)
              | v2_xreal_0(B)
              | v3_xreal_0(A) ) ) ) ) ),
    file(real,t6_real),
    []).

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

fof(t7_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ~ ( ~ r1_xreal_0(A,B)
              & ~ v2_xreal_0(A)
              & ~ v3_xreal_0(B) ) ) ) ),
    file(real,t7_real),
    []).

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

fof(t8_real,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ~ ( ~ r1_xreal_0(A,B)
              & ~ v3_xreal_0(B)
              & ~ v2_xreal_0(A) ) ) ) ),
    file(real,t8_real),
    []).

fof(t9_xreal_1,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ! [C] : 
              ( v1_xreal_0(C)
             => ! [D] : 
                  ( v1_xreal_0(D)
                 => ( ( r1_xreal_0(A,B)
                      & r1_xreal_0(C,D) )
                   => r1_xreal_0(k2_xcmplx_0(A,C),k2_xcmplx_0(B,D)) ) ) ) ) ) ),
    file(xreal_1,t9_xreal_1),
    []).