% Mizar problem: t5_glib_002,glib_002,2077,24 
fof(t5_glib_002,conjecture,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v1_glib_002(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m3_glib_001(B,A)
         => ! [C,D] : 
              ( m3_glib_000(D,A,k6_glib_000(A),k1_card_fil(k7_glib_000(A),k1_tarski(C)))
             => ( ( v8_glib_001(B,A)
                  & r2_hidden(C,k14_glib_001(A,B)) )
               => v1_glib_002(D) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[antisymmetry_r2_hidden,cc11_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_001,cc1_nat_1,cc1_polynom1,cc1_relset_1,cc2_card_1,cc2_finset_1,cc2_glib_000,cc2_glib_001,cc2_int_1,cc2_nat_1,cc3_card_1,cc3_glib_000,cc3_glib_001,cc3_int_1,cc3_nat_1,cc3_polynom1,cc4_glib_000,cc4_glib_001,cc4_int_1,cc4_polynom1,cc5_glib_000,cc5_polynom1,cc6_glib_001,cc9_glib_000,commutativity_k1_nat_1,commutativity_k2_xboole_0,commutativity_k2_xcmplx_0,connectedness_r1_xreal_0,d15_glib_000,d1_glib_002,d3_tarski,dt_k10_glib_000,dt_k11_glib_000,dt_k14_glib_001,dt_k1_card_1,dt_k1_card_fil,dt_k1_funct_1,dt_k1_nat_1,dt_k1_numbers,dt_k1_relat_1,dt_k1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k25_glib_000,dt_k26_glib_000,dt_k2_xboole_0,dt_k2_xcmplx_0,dt_k2_zfmisc_1,dt_k3_finseq_1,dt_k3_glib_001,dt_k4_finseq_1,dt_k4_glib_001,dt_k4_relset_1,dt_k4_xboole_0,dt_k5_numbers,dt_k5_ordinal2,dt_k5_real_1,dt_k6_glib_000,dt_k6_glib_001,dt_k6_xcmplx_0,dt_k7_glib_000,dt_k7_glib_001,dt_k8_glib_000,dt_k8_glib_001,dt_k9_glib_000,dt_m1_finseq_1,dt_m1_glib_000,dt_m1_relset_1,dt_m1_subset_1,dt_m2_finseq_1,dt_m2_glib_000,dt_m2_relset_1,dt_m2_subset_1,dt_m3_glib_000,dt_m3_glib_001,dt_m4_glib_001,existence_m1_finseq_1,existence_m1_glib_000,existence_m1_relset_1,existence_m1_subset_1,existence_m2_finseq_1,existence_m2_glib_000,existence_m2_relset_1,existence_m2_subset_1,existence_m3_glib_000,existence_m3_glib_001,existence_m4_glib_001,fc10_abian,fc11_abian,fc11_glib_001,fc12_abian,fc12_finset_1,fc13_abian,fc13_glib_001,fc14_abian,fc14_finset_1,fc14_glib_001,fc14_polynom1,fc15_abian,fc15_glib_001,fc16_glib_001,fc17_abian,fc1_finset_1,fc1_glib_000,fc1_glib_001,fc1_glib_002,fc1_int_1,fc1_jordan1d,fc1_nat_1,fc1_ordinal2,fc20_polynom1,fc2_abian,fc2_card_1,fc2_jordan1d,fc3_abian,fc3_nat_1,fc3_polynom1,fc4_abian,fc4_int_1,fc4_nat_1,fc5_abian,fc5_glib_001,fc5_polynom1,fc6_glib_001,fc6_int_1,fc7_glib_001,fc8_glib_001,fc8_int_1,fc9_abian,fc9_finset_1,fc9_glib_001,fc9_int_1,idempotence_k2_xboole_0,rc11_polynom1,rc12_polynom1,rc1_abian,rc1_card_1,rc1_finset_1,rc1_glib_000,rc1_int_1,rc1_nat_1,rc2_abian,rc2_card_1,rc2_finset_1,rc2_glib_001,rc2_int_1,rc2_nat_1,rc2_polynom1,rc3_abian,rc3_finset_1,rc3_glib_001,rc3_nat_1,rc3_polynom1,rc4_abian,rc4_finset_1,rc4_polynom1,rc5_glib_000,rc7_polynom1,redefinition_k10_glib_000,redefinition_k11_glib_000,redefinition_k1_card_fil,redefinition_k1_nat_1,redefinition_k25_glib_000,redefinition_k26_glib_000,redefinition_k3_finseq_1,redefinition_k4_finseq_1,redefinition_k4_relset_1,redefinition_k5_numbers,redefinition_k5_real_1,redefinition_m2_finseq_1,redefinition_m2_relset_1,redefinition_m2_subset_1,reflexivity_r1_tarski,reflexivity_r1_xreal_0,spc0_boole,spc1_boole,spc1_numerals,spc2_boole,spc2_numerals,t100_glib_001,t104_glib_001,t10_xreal_1,t139_glib_001,t158_glib_001,t161_glib_001,t173_glib_001,t18_glib_001,t18_int_1,t18_nat_1,t1_arithm,t1_boole,t1_heyting3,t1_numerals,t1_real,t1_subset,t20_glib_001,t24_glib_001,t27_finseq_3,t2_real,t2_subset,t32_glib_001,t37_glib_001,t37_nat_1,t38_glib_001,t38_nat_1,t3_boole,t3_jordan12,t3_real,t3_subset,t46_glib_001,t47_glib_001,t4_arithm,t4_boole,t4_real,t4_subset,t54_glib_000,t5_real,t5_subset,t6_boole,t6_real,t7_boole,t7_funct_2,t7_real,t8_boole,t8_real,t92_real_1]),
    [file(glib_002,t5_glib_002)]).

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

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(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_001,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m3_glib_001(B,A)
         => ( v5_glib_001(B,A)
           => ( v1_relat_1(B)
              & v4_glib_001(B,A) ) ) ) ) ),
    file(glib_001,cc1_glib_001),
    []).

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(cc1_polynom1,axiom,(
    ! [A] : 
      ( m1_finseq_1(A,k5_numbers)
     => v1_card_3(A) ) ),
    file(polynom1,cc1_polynom1),
    []).

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(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_001,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m3_glib_001(B,A)
         => ( v3_glib_001(B,A)
           => ( v1_relat_1(B)
              & v5_glib_001(B,A) ) ) ) ) ),
    file(glib_001,cc2_glib_001),
    []).

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_001,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m3_glib_001(B,A)
         => ( v3_glib_001(B,A)
           => ( v1_relat_1(B)
              & v6_glib_001(B,A) ) ) ) ) ),
    file(glib_001,cc3_glib_001),
    []).

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_001,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m3_glib_001(B,A)
         => ( v6_glib_001(B,A)
           => ( v1_relat_1(B)
              & v5_glib_001(B,A) ) ) ) ) ),
    file(glib_001,cc4_glib_001),
    []).

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_polynom1,axiom,(
    ! [A,B] : 
      ( m1_relset_1(B,A,k5_numbers)
     => ( ( v1_funct_1(B)
          & v1_funct_2(B,A,k5_numbers) )
       => ( v1_funct_1(B)
          & v1_funct_2(B,A,k5_numbers)
          & v7_seqm_3(B) ) ) ) ),
    file(polynom1,cc4_polynom1),
    []).

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_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_001,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m3_glib_001(B,A)
         => ( v8_glib_001(B,A)
           => ( v1_relat_1(B)
              & v1_glib_001(B,A)
              & ~ v3_glib_001(B,A)
              & v5_glib_001(B,A) ) ) ) ) ),
    file(glib_001,cc6_glib_001),
    []).

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_xboole_0,axiom,(
    ! [A,B] : k2_xboole_0(A,B) = k2_xboole_0(B,A) ),
    file(xboole_0,k2_xboole_0),
    []).

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(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(d15_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B,C,D] : 
          ( r1_glib_000(A,B,C,D)
        <=> ( r2_hidden(D,k7_glib_000(A))
            & ( ( k1_funct_1(k10_glib_000(A),D) = B
                & k1_funct_1(k11_glib_000(A),D) = C )
              | ( k1_funct_1(k10_glib_000(A),D) = C
                & k1_funct_1(k11_glib_000(A),D) = B ) ) ) ) ) ),
    file(glib_000,d15_glib_000),
    []).

fof(d1_glib_002,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ( v1_glib_002(A)
      <=> ! [B] : 
            ( m1_subset_1(B,k6_glib_000(A))
           => ! [C] : 
                ( m1_subset_1(C,k6_glib_000(A))
               => ? [D] : 
                    ( m3_glib_001(D,A)
                    & r1_glib_001(A,B,C,D) ) ) ) ) ) ),
    file(glib_002,d1_glib_002),
    []).

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

fof(dt_k10_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ( v1_funct_1(k10_glib_000(A))
        & v1_funct_2(k10_glib_000(A),k7_glib_000(A),k6_glib_000(A))
        & m2_relset_1(k10_glib_000(A),k7_glib_000(A),k6_glib_000(A)) ) ) ),
    file(glib_000,k10_glib_000),
    []).

fof(dt_k11_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ( v1_funct_1(k11_glib_000(A))
        & v1_funct_2(k11_glib_000(A),k7_glib_000(A),k6_glib_000(A))
        & m2_relset_1(k11_glib_000(A),k7_glib_000(A),k6_glib_000(A)) ) ) ),
    file(glib_000,k11_glib_000),
    []).

fof(dt_k14_glib_001,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => ( v1_finset_1(k14_glib_001(A,B))
        & m1_subset_1(k14_glib_001(A,B),k1_zfmisc_1(k7_glib_000(A))) ) ) ),
    file(glib_001,k14_glib_001),
    []).

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_funct_1,axiom,(
    $true ),
    file(funct_1,k1_funct_1),
    []).

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_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_k25_glib_000,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m2_glib_000(B,A) )
     => ( ~ v1_xboole_0(k25_glib_000(A,B))
        & m1_subset_1(k25_glib_000(A,B),k1_zfmisc_1(k6_glib_000(A))) ) ) ),
    file(glib_000,k25_glib_000),
    []).

fof(dt_k26_glib_000,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m2_glib_000(B,A) )
     => m1_subset_1(k26_glib_000(A,B),k1_zfmisc_1(k7_glib_000(A))) ) ),
    file(glib_000,k26_glib_000),
    []).

fof(dt_k2_xboole_0,axiom,(
    $true ),
    file(xboole_0,k2_xboole_0),
    []).

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

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

fof(dt_k3_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => m2_subset_1(k3_finseq_1(A),k1_numbers,k5_numbers) ) ),
    file(finseq_1,k3_finseq_1),
    []).

fof(dt_k3_glib_001,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => m1_subset_1(k3_glib_001(A,B),k6_glib_000(A)) ) ),
    file(glib_001,k3_glib_001),
    []).

fof(dt_k4_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => m1_subset_1(k4_finseq_1(A),k1_zfmisc_1(k5_numbers)) ) ),
    file(finseq_1,k4_finseq_1),
    []).

fof(dt_k4_glib_001,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => m1_subset_1(k4_glib_001(A,B),k6_glib_000(A)) ) ),
    file(glib_001,k4_glib_001),
    []).

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_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_glib_001,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => m3_glib_001(k6_glib_001(A,B),A) ) ),
    file(glib_001,k6_glib_001),
    []).

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_k7_glib_001,axiom,(
    ! [A,B,C] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A)
        & m3_glib_001(C,A) )
     => m3_glib_001(k7_glib_001(A,B,C),A) ) ),
    file(glib_001,k7_glib_001),
    []).

fof(dt_k8_glib_000,axiom,(
    $true ),
    file(glib_000,k8_glib_000),
    []).

fof(dt_k8_glib_001,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A)
        & m1_subset_1(C,k5_numbers)
        & m1_subset_1(D,k5_numbers) )
     => m3_glib_001(k8_glib_001(A,B,C,D),A) ) ),
    file(glib_001,k8_glib_001),
    []).

fof(dt_k9_glib_000,axiom,(
    $true ),
    file(glib_000,k9_glib_000),
    []).

fof(dt_m1_finseq_1,axiom,(
    ! [A,B] : 
      ( m1_finseq_1(B,A)
     => ( v1_relat_1(B)
        & v1_funct_1(B)
        & v1_finseq_1(B) ) ) ),
    file(finseq_1,m1_finseq_1),
    []).

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_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_finseq_1,axiom,(
    ! [A,B] : 
      ( m2_finseq_1(B,A)
     => ( v1_funct_1(B)
        & v1_finseq_1(B)
        & m2_relset_1(B,k5_numbers,A) ) ) ),
    file(finseq_1,m2_finseq_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_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_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(dt_m3_glib_001,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m3_glib_001(B,A)
         => m2_finseq_1(B,k2_xboole_0(k6_glib_000(A),k7_glib_000(A))) ) ) ),
    file(glib_001,m3_glib_001),
    []).

fof(dt_m4_glib_001,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => ! [C] : 
          ( m4_glib_001(C,A,B)
         => m3_glib_001(C,A) ) ) ),
    file(glib_001,m4_glib_001),
    []).

fof(existence_m1_finseq_1,axiom,(
    ! [A] : 
    ? [B] : m1_finseq_1(B,A) ),
    file(finseq_1,m1_finseq_1),
    []).

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

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_finseq_1,axiom,(
    ! [A] : 
    ? [B] : m2_finseq_1(B,A) ),
    file(finseq_1,m2_finseq_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_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(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(existence_m3_glib_001,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ? [B] : m3_glib_001(B,A) ) ),
    file(glib_001,m3_glib_001),
    []).

fof(existence_m4_glib_001,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => ? [C] : m4_glib_001(C,A,B) ) ),
    file(glib_001,m4_glib_001),
    []).

fof(fc10_abian,axiom,(
    ! [A,B] : 
      ( ( v1_int_1(A)
        & v1_abian(A)
        & v1_int_1(B)
        & ~ v1_abian(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))
        & ~ v1_abian(k2_xcmplx_0(A,B)) ) ) ),
    file(abian,fc10_abian),
    []).

fof(fc11_abian,axiom,(
    ! [A,B] : 
      ( ( v1_int_1(A)
        & v1_abian(A)
        & v1_int_1(B)
        & ~ v1_abian(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))
        & ~ v1_abian(k2_xcmplx_0(B,A)) ) ) ),
    file(abian,fc11_abian),
    []).

fof(fc11_glib_001,axiom,(
    ! [A,B,C] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v3_glib_001(B,A)
        & m3_glib_001(B,A)
        & v3_glib_001(C,A)
        & m3_glib_001(C,A) )
     => ( v1_relat_1(k7_glib_001(A,B,C))
        & v1_funct_1(k7_glib_001(A,B,C))
        & v1_finset_1(k7_glib_001(A,B,C))
        & v1_finseq_1(k7_glib_001(A,B,C))
        & v2_finseq_1(k7_glib_001(A,B,C))
        & v3_glib_001(k7_glib_001(A,B,C),A)
        & v4_glib_001(k7_glib_001(A,B,C),A)
        & v5_glib_001(k7_glib_001(A,B,C),A)
        & v6_glib_001(k7_glib_001(A,B,C),A) ) ) ),
    file(glib_001,fc11_glib_001),
    []).

fof(fc12_abian,axiom,(
    ! [A,B] : 
      ( ( v1_int_1(A)
        & ~ v1_abian(A)
        & v1_int_1(B)
        & ~ v1_abian(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))
        & v1_abian(k2_xcmplx_0(A,B)) ) ) ),
    file(abian,fc12_abian),
    []).

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(fc13_abian,axiom,(
    ! [A,B] : 
      ( ( v1_int_1(A)
        & v1_abian(A)
        & v1_int_1(B)
        & ~ v1_abian(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))
        & ~ v1_abian(k6_xcmplx_0(A,B)) ) ) ),
    file(abian,fc13_abian),
    []).

fof(fc13_glib_001,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v3_glib_001(B,A)
        & m3_glib_001(B,A)
        & m1_subset_1(C,k5_numbers)
        & m1_subset_1(D,k5_numbers) )
     => ( v1_relat_1(k8_glib_001(A,B,C,D))
        & v1_funct_1(k8_glib_001(A,B,C,D))
        & v1_finset_1(k8_glib_001(A,B,C,D))
        & v1_finseq_1(k8_glib_001(A,B,C,D))
        & v2_finseq_1(k8_glib_001(A,B,C,D))
        & v3_glib_001(k8_glib_001(A,B,C,D),A)
        & v4_glib_001(k8_glib_001(A,B,C,D),A)
        & v5_glib_001(k8_glib_001(A,B,C,D),A)
        & v6_glib_001(k8_glib_001(A,B,C,D),A) ) ) ),
    file(glib_001,fc13_glib_001),
    []).

fof(fc14_abian,axiom,(
    ! [A,B] : 
      ( ( v1_int_1(A)
        & v1_abian(A)
        & v1_int_1(B)
        & ~ v1_abian(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))
        & ~ v1_abian(k6_xcmplx_0(B,A)) ) ) ),
    file(abian,fc14_abian),
    []).

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_glib_001,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v4_glib_001(B,A)
        & m3_glib_001(B,A)
        & m1_subset_1(C,k5_numbers)
        & m1_subset_1(D,k5_numbers) )
     => ( v1_relat_1(k8_glib_001(A,B,C,D))
        & v1_funct_1(k8_glib_001(A,B,C,D))
        & v1_finset_1(k8_glib_001(A,B,C,D))
        & v1_finseq_1(k8_glib_001(A,B,C,D))
        & v2_finseq_1(k8_glib_001(A,B,C,D))
        & v4_glib_001(k8_glib_001(A,B,C,D),A) ) ) ),
    file(glib_001,fc14_glib_001),
    []).

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(fc15_abian,axiom,(
    ! [A,B] : 
      ( ( v1_int_1(A)
        & ~ v1_abian(A)
        & v1_int_1(B)
        & ~ v1_abian(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))
        & v1_abian(k6_xcmplx_0(A,B)) ) ) ),
    file(abian,fc15_abian),
    []).

fof(fc15_glib_001,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v5_glib_001(B,A)
        & m3_glib_001(B,A)
        & m1_subset_1(C,k5_numbers)
        & m1_subset_1(D,k5_numbers) )
     => ( v1_relat_1(k8_glib_001(A,B,C,D))
        & v1_funct_1(k8_glib_001(A,B,C,D))
        & v1_finset_1(k8_glib_001(A,B,C,D))
        & v1_finseq_1(k8_glib_001(A,B,C,D))
        & v2_finseq_1(k8_glib_001(A,B,C,D))
        & v4_glib_001(k8_glib_001(A,B,C,D),A)
        & v5_glib_001(k8_glib_001(A,B,C,D),A) ) ) ),
    file(glib_001,fc15_glib_001),
    []).

fof(fc16_glib_001,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v6_glib_001(B,A)
        & m3_glib_001(B,A)
        & m1_subset_1(C,k5_numbers)
        & m1_subset_1(D,k5_numbers) )
     => ( v1_relat_1(k8_glib_001(A,B,C,D))
        & v1_funct_1(k8_glib_001(A,B,C,D))
        & v1_finset_1(k8_glib_001(A,B,C,D))
        & v1_finseq_1(k8_glib_001(A,B,C,D))
        & v2_finseq_1(k8_glib_001(A,B,C,D))
        & v4_glib_001(k8_glib_001(A,B,C,D),A)
        & v5_glib_001(k8_glib_001(A,B,C,D),A)
        & v6_glib_001(k8_glib_001(A,B,C,D),A) ) ) ),
    file(glib_001,fc16_glib_001),
    []).

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_001,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => ( ~ v1_xboole_0(k1_card_1(B))
        & v1_card_1(k1_card_1(B))
        & ~ v1_abian(k1_card_1(B)) ) ) ),
    file(glib_001,fc1_glib_001),
    []).

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_jordan1d,axiom,(
    ! [A] : 
      ( ( v1_int_1(A)
        & v1_abian(A) )
     => ( v1_xreal_0(k2_xcmplx_0(A,2))
        & v1_int_1(k2_xcmplx_0(A,2))
        & v1_xcmplx_0(k2_xcmplx_0(A,2))
        & v1_abian(k2_xcmplx_0(A,2)) ) ) ),
    file(jordan1d,fc1_jordan1d),
    []).

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_abian,axiom,(
    ! [A] : 
      ( ( v1_int_1(A)
        & v1_abian(A) )
     => ( v1_xcmplx_0(k2_xcmplx_0(A,1))
        & v1_xreal_0(k2_xcmplx_0(A,1))
        & v1_int_1(k2_xcmplx_0(A,1))
        & ~ v1_abian(k2_xcmplx_0(A,1)) ) ) ),
    file(abian,fc2_abian),
    []).

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(fc2_jordan1d,axiom,(
    ! [A] : 
      ( ( v1_int_1(A)
        & ~ v1_abian(A) )
     => ( v1_xreal_0(k2_xcmplx_0(A,2))
        & v1_int_1(k2_xcmplx_0(A,2))
        & v1_xcmplx_0(k2_xcmplx_0(A,2))
        & ~ v1_abian(k2_xcmplx_0(A,2)) ) ) ),
    file(jordan1d,fc2_jordan1d),
    []).

fof(fc3_abian,axiom,(
    ! [A] : 
      ( ( v1_int_1(A)
        & ~ v1_abian(A) )
     => ( v1_xcmplx_0(k2_xcmplx_0(A,1))
        & v1_xreal_0(k2_xcmplx_0(A,1))
        & v1_int_1(k2_xcmplx_0(A,1))
        & v1_abian(k2_xcmplx_0(A,1)) ) ) ),
    file(abian,fc3_abian),
    []).

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_abian,axiom,(
    ! [A] : 
      ( ( v1_int_1(A)
        & v1_abian(A) )
     => ( v1_xcmplx_0(k6_xcmplx_0(A,1))
        & v1_xreal_0(k6_xcmplx_0(A,1))
        & v1_int_1(k6_xcmplx_0(A,1))
        & ~ v1_abian(k6_xcmplx_0(A,1)) ) ) ),
    file(abian,fc4_abian),
    []).

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_abian,axiom,(
    ! [A] : 
      ( ( v1_int_1(A)
        & ~ v1_abian(A) )
     => ( v1_xcmplx_0(k6_xcmplx_0(A,1))
        & v1_xreal_0(k6_xcmplx_0(A,1))
        & v1_int_1(k6_xcmplx_0(A,1))
        & v1_abian(k6_xcmplx_0(A,1)) ) ) ),
    file(abian,fc5_abian),
    []).

fof(fc5_glib_001,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v1_glib_001(B,A)
        & m3_glib_001(B,A) )
     => ( v1_relat_1(k6_glib_001(A,B))
        & v1_funct_1(k6_glib_001(A,B))
        & v1_finset_1(k6_glib_001(A,B))
        & v1_finseq_1(k6_glib_001(A,B))
        & v2_finseq_1(k6_glib_001(A,B))
        & v1_glib_001(k6_glib_001(A,B),A) ) ) ),
    file(glib_001,fc5_glib_001),
    []).

fof(fc5_polynom1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A)
        & v1_matrlin(A) )
     => ( v1_relat_1(k1_funct_1(A,B))
        & v1_funct_1(k1_funct_1(A,B))
        & v1_finset_1(k1_funct_1(A,B))
        & v1_finseq_1(k1_funct_1(A,B)) ) ) ),
    file(polynom1,fc5_polynom1),
    []).

fof(fc6_glib_001,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v3_glib_001(B,A)
        & m3_glib_001(B,A) )
     => ( v1_relat_1(k6_glib_001(A,B))
        & v1_funct_1(k6_glib_001(A,B))
        & v1_finset_1(k6_glib_001(A,B))
        & v1_finseq_1(k6_glib_001(A,B))
        & v2_finseq_1(k6_glib_001(A,B))
        & v3_glib_001(k6_glib_001(A,B),A)
        & v4_glib_001(k6_glib_001(A,B),A)
        & v5_glib_001(k6_glib_001(A,B),A)
        & v6_glib_001(k6_glib_001(A,B),A) ) ) ),
    file(glib_001,fc6_glib_001),
    []).

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(fc7_glib_001,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v4_glib_001(B,A)
        & m3_glib_001(B,A) )
     => ( v1_relat_1(k6_glib_001(A,B))
        & v1_funct_1(k6_glib_001(A,B))
        & v1_finset_1(k6_glib_001(A,B))
        & v1_finseq_1(k6_glib_001(A,B))
        & v2_finseq_1(k6_glib_001(A,B))
        & v4_glib_001(k6_glib_001(A,B),A) ) ) ),
    file(glib_001,fc7_glib_001),
    []).

fof(fc8_glib_001,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v5_glib_001(B,A)
        & m3_glib_001(B,A) )
     => ( v1_relat_1(k6_glib_001(A,B))
        & v1_funct_1(k6_glib_001(A,B))
        & v1_finset_1(k6_glib_001(A,B))
        & v1_finseq_1(k6_glib_001(A,B))
        & v2_finseq_1(k6_glib_001(A,B))
        & v4_glib_001(k6_glib_001(A,B),A)
        & v5_glib_001(k6_glib_001(A,B),A) ) ) ),
    file(glib_001,fc8_glib_001),
    []).

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_abian,axiom,(
    ! [A,B] : 
      ( ( v1_int_1(A)
        & v1_abian(A)
        & v1_int_1(B)
        & v1_abian(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))
        & v1_abian(k2_xcmplx_0(A,B)) ) ) ),
    file(abian,fc9_abian),
    []).

fof(fc9_finset_1,axiom,(
    ! [A,B] : 
      ( ( v1_finset_1(A)
        & v1_finset_1(B) )
     => v1_finset_1(k2_xboole_0(A,B)) ) ),
    file(finset_1,fc9_finset_1),
    []).

fof(fc9_glib_001,axiom,(
    ! [A,B,C] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v1_glib_001(B,A)
        & m3_glib_001(B,A)
        & v1_glib_001(C,A)
        & m3_glib_001(C,A) )
     => ( v1_relat_1(k7_glib_001(A,B,C))
        & v1_funct_1(k7_glib_001(A,B,C))
        & v1_finset_1(k7_glib_001(A,B,C))
        & v1_finseq_1(k7_glib_001(A,B,C))
        & v2_finseq_1(k7_glib_001(A,B,C))
        & v1_glib_001(k7_glib_001(A,B,C),A) ) ) ),
    file(glib_001,fc9_glib_001),
    []).

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(idempotence_k2_xboole_0,axiom,(
    ! [A,B] : k2_xboole_0(A,A) = A ),
    file(xboole_0,k2_xboole_0),
    []).

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(rc12_polynom1,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_relset_1(B,A,k5_numbers)
      & v1_relat_1(B)
      & v1_funct_1(B)
      & v1_funct_2(B,A,k5_numbers)
      & v1_seq_1(B)
      & v7_seqm_3(B)
      & v1_polynom1(B) ) ),
    file(polynom1,rc12_polynom1),
    []).

fof(rc1_abian,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)
      & v1_abian(A) ) ),
    file(abian,rc1_abian),
    []).

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_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_abian,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)
      & ~ v1_abian(A) ) ),
    file(abian,rc2_abian),
    []).

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_001,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ? [B] : 
          ( m3_glib_001(B,A)
          & v1_relat_1(B)
          & v1_funct_1(B)
          & v1_finset_1(B)
          & v1_finseq_1(B)
          & v2_finseq_1(B)
          & v4_glib_001(B,A)
          & v5_glib_001(B,A)
          & v6_glib_001(B,A) ) ) ),
    file(glib_001,rc2_glib_001),
    []).

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_abian,axiom,(
    ? [A] : 
      ( v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & v1_int_1(A)
      & v1_abian(A) ) ),
    file(abian,rc3_abian),
    []).

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_001,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => ? [C] : 
          ( m4_glib_001(C,A,B)
          & v1_relat_1(C)
          & v1_funct_1(C)
          & v1_finset_1(C)
          & v1_finseq_1(C)
          & v2_finseq_1(C)
          & v4_glib_001(C,A)
          & v5_glib_001(C,A) ) ) ),
    file(glib_001,rc3_glib_001),
    []).

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(rc3_polynom1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A)
      & v1_card_3(A) ) ),
    file(polynom1,rc3_polynom1),
    []).

fof(rc4_abian,axiom,(
    ? [A] : 
      ( v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & v1_int_1(A)
      & ~ v1_abian(A) ) ),
    file(abian,rc4_abian),
    []).

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_polynom1,axiom,(
    ? [A] : 
      ( m1_finseq_1(A,k5_numbers)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A)
      & v1_card_3(A) ) ),
    file(polynom1,rc4_polynom1),
    []).

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(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_k10_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => k10_glib_000(A) = k8_glib_000(A) ) ),
    file(glib_000,k10_glib_000),
    []).

fof(redefinition_k11_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => k11_glib_000(A) = k9_glib_000(A) ) ),
    file(glib_000,k11_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_k25_glib_000,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m2_glib_000(B,A) )
     => k25_glib_000(A,B) = k6_glib_000(B) ) ),
    file(glib_000,k25_glib_000),
    []).

fof(redefinition_k26_glib_000,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m2_glib_000(B,A) )
     => k26_glib_000(A,B) = k7_glib_000(B) ) ),
    file(glib_000,k26_glib_000),
    []).

fof(redefinition_k3_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => k3_finseq_1(A) = k1_card_1(A) ) ),
    file(finseq_1,k3_finseq_1),
    []).

fof(redefinition_k4_finseq_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => k4_finseq_1(A) = k1_relat_1(A) ) ),
    file(finseq_1,k4_finseq_1),
    []).

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_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_finseq_1,axiom,(
    ! [A,B] : 
      ( m2_finseq_1(B,A)
    <=> m1_finseq_1(B,A) ) ),
    file(finseq_1,m2_finseq_1),
    []).

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_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(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(spc2_boole,axiom,(
    ~ v1_xboole_0(2) ),
    file(boole,spc2_boole),
    []).

fof(spc2_numerals,axiom,
    ( v2_xreal_0(2)
    & m1_subset_1(2,k5_numbers) ),
    file(numerals,spc2_numerals),
    []).

fof(t100_glib_001,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m3_glib_001(B,A)
         => ! [C] : 
              ( r2_hidden(C,k14_glib_001(A,B))
            <=> ? [D] : 
                  ( v1_abian(D)
                  & m2_subset_1(D,k1_numbers,k5_numbers)
                  & r1_xreal_0(1,D)
                  & r1_xreal_0(D,k3_finseq_1(B))
                  & k1_funct_1(B,D) = C ) ) ) ) ),
    file(glib_001,t100_glib_001),
    []).

fof(t104_glib_001,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m3_glib_001(B,A)
         => ! [C] : ~ ( r2_hidden(C,k14_glib_001(A,B))
              & ! [D] : 
                  ( m1_subset_1(D,k6_glib_000(A))
                 => ! [E] : 
                      ( m1_subset_1(E,k6_glib_000(A))
                     => ! [F] : 
                          ( ( ~ v1_abian(F)
                            & m2_subset_1(F,k1_numbers,k5_numbers) )
                         => ~ ( r1_xreal_0(k1_nat_1(F,2),k3_finseq_1(B))
                              & D = k1_funct_1(B,F)
                              & C = k1_funct_1(B,k1_nat_1(F,1))
                              & E = k1_funct_1(B,k1_nat_1(F,2))
                              & r1_glib_000(A,D,E,C) ) ) ) ) ) ) ) ),
    file(glib_001,t104_glib_001),
    []).

fof(t10_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(B,A)
                      & r1_xreal_0(C,D)
                      & r1_xreal_0(k2_xcmplx_0(B,D),k2_xcmplx_0(A,C)) ) ) ) ) ) ),
    file(xreal_1,t10_xreal_1),
    []).

fof(t139_glib_001,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m3_glib_001(B,A)
         => ( v4_glib_001(B,A)
          <=> ! [C] : 
                ( ( v1_abian(C)
                  & m2_subset_1(C,k1_numbers,k5_numbers) )
               => ! [D] : 
                    ( ( v1_abian(D)
                      & m2_subset_1(D,k1_numbers,k5_numbers) )
                   => ~ ( r1_xreal_0(1,C)
                        & ~ r1_xreal_0(D,C)
                        & r1_xreal_0(D,k3_finseq_1(B))
                        & k1_funct_1(B,C) = k1_funct_1(B,D) ) ) ) ) ) ) ),
    file(glib_001,t139_glib_001),
    []).

fof(t158_glib_001,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m3_glib_001(B,A)
         => ! [C,D,E] : ~ ( r1_glib_000(A,D,E,C)
              & r2_hidden(C,k14_glib_001(A,B))
              & v8_glib_001(B,A)
              & ! [F] : 
                  ( m3_glib_001(F,A)
                 => ~ ( r1_glib_001(A,D,E,F)
                      & ~ r2_hidden(C,k14_glib_001(A,F)) ) ) ) ) ) ),
    file(glib_001,t158_glib_001),
    []).

fof(t161_glib_001,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m3_glib_001(B,A)
         => ! [C] : 
              ( m3_glib_001(C,A)
             => ! [D,E] : 
                  ( m4_glib_001(B,A,C)
                 => ( r1_glib_001(A,D,E,B)
                  <=> r1_glib_001(A,D,E,C) ) ) ) ) ) ),
    file(glib_001,t161_glib_001),
    []).

fof(t173_glib_001,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m3_glib_001(B,A)
         => ! [C,D] : 
              ( m3_glib_000(D,A,k6_glib_000(A),k1_card_fil(k7_glib_000(A),k1_tarski(C)))
             => ( ~ r2_hidden(C,k14_glib_001(A,B))
               => m3_glib_001(B,D) ) ) ) ) ),
    file(glib_001,t173_glib_001),
    []).

fof(t18_glib_001,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m3_glib_001(B,A)
         => ! [C,D] : 
              ( r1_glib_001(A,C,D,B)
            <=> ( k1_funct_1(B,1) = C
                & k1_funct_1(B,k3_finseq_1(B)) = D ) ) ) ) ),
    file(glib_001,t18_glib_001),
    []).

fof(t18_int_1,axiom,(
    ! [A] : 
      ( v1_int_1(A)
     => ! [B] : 
          ( v1_int_1(B)
         => ( r1_xreal_0(A,B)
           => r2_hidden(k6_xcmplx_0(B,A),k5_numbers) ) ) ) ),
    file(int_1,t18_int_1),
    []).

fof(t18_nat_1,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => r1_xreal_0(0,A) ) ),
    file(nat_1,t18_nat_1),
    []).

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

fof(t1_boole,axiom,(
    ! [A] : k2_xboole_0(A,k1_xboole_0) = A ),
    file(boole,t1_boole),
    []).

fof(t1_heyting3,axiom,(
    ! [A] : 
      ( ( ~ v1_abian(A)
        & m2_subset_1(A,k1_numbers,k5_numbers) )
     => r1_xreal_0(1,A) ) ),
    file(heyting3,t1_heyting3),
    []).

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(t20_glib_001,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( ( v1_glib_000(B)
            & m1_glib_000(B) )
         => ! [C,D,E] : 
              ( m3_glib_001(E,A)
             => ! [F] : 
                  ( m3_glib_001(F,B)
                 => ( E = F
                   => ( r1_glib_001(A,C,D,E)
                    <=> r1_glib_001(B,C,D,F) ) ) ) ) ) ) ),
    file(glib_001,t20_glib_001),
    []).

fof(t24_glib_001,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m3_glib_001(B,A)
         => ! [C,D] : 
              ( r1_glib_001(A,C,D,B)
            <=> r1_glib_001(A,D,C,k6_glib_001(A,B)) ) ) ) ),
    file(glib_001,t24_glib_001),
    []).

fof(t27_finseq_3,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => ! [B] : 
          ( v4_ordinal2(B)
         => ( r2_hidden(B,k4_finseq_1(A))
          <=> ( r1_xreal_0(1,B)
              & r1_xreal_0(B,k3_finseq_1(A)) ) ) ) ) ),
    file(finseq_3,t27_finseq_3),
    []).

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(t32_glib_001,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m3_glib_001(B,A)
         => ! [C] : 
              ( m3_glib_001(C,A)
             => ! [D,E,F] : 
                  ( ( r1_glib_001(A,D,E,B)
                    & r1_glib_001(A,E,F,C) )
                 => r1_glib_001(A,D,F,k7_glib_001(A,B,C)) ) ) ) ) ),
    file(glib_001,t32_glib_001),
    []).

fof(t37_glib_001,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m3_glib_001(B,A)
         => ! [C] : 
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ! [D] : 
                  ( ( ~ v1_abian(D)
                    & m2_subset_1(D,k1_numbers,k5_numbers) )
                 => ( ( r1_xreal_0(C,D)
                      & r1_xreal_0(D,k3_finseq_1(B)) )
                   => ( k1_nat_1(k3_finseq_1(k8_glib_001(A,B,C,D)),C) = k1_nat_1(D,1)
                      & ! [E] : 
                          ( m2_subset_1(E,k1_numbers,k5_numbers)
                         => ( ~ r1_xreal_0(k3_finseq_1(k8_glib_001(A,B,C,D)),E)
                           => ( k1_funct_1(k8_glib_001(A,B,C,D),k1_nat_1(E,1)) = k1_funct_1(B,k1_nat_1(C,E))
                              & r2_hidden(k1_nat_1(C,E),k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B)) ) ) ) ) ) ) ) ) ) ),
    file(glib_001,t37_glib_001),
    []).

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_glib_001,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m3_glib_001(B,A)
         => ! [C] : 
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ! [D] : 
                  ( ( ~ v1_abian(D)
                    & m2_subset_1(D,k1_numbers,k5_numbers) )
                 => ( ( r1_xreal_0(C,D)
                      & r1_xreal_0(D,k3_finseq_1(B)) )
                   => ( k3_glib_001(A,k8_glib_001(A,B,C,D)) = k1_funct_1(B,C)
                      & k4_glib_001(A,k8_glib_001(A,B,C,D)) = k1_funct_1(B,D)
                      & r1_glib_001(A,k1_funct_1(B,C),k1_funct_1(B,D),k8_glib_001(A,B,C,D)) ) ) ) ) ) ) ),
    file(glib_001,t38_glib_001),
    []).

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_jordan12,axiom,(
    ~ v1_abian(1) ),
    file(jordan12,t3_jordan12),
    []).

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(t46_glib_001,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m3_glib_001(B,A)
         => ! [C] : 
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ( r1_xreal_0(C,k3_finseq_1(B))
               => k3_finseq_1(k8_glib_001(A,B,1,C)) = C ) ) ) ) ),
    file(glib_001,t46_glib_001),
    []).

fof(t47_glib_001,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m3_glib_001(B,A)
         => ! [C] : 
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ! [D] : 
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ( ( r2_hidden(D,k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),k8_glib_001(A,B,1,C)))
                      & r1_xreal_0(C,k3_finseq_1(B)) )
                   => k1_funct_1(k8_glib_001(A,B,1,C),D) = k1_funct_1(B,D) ) ) ) ) ) ),
    file(glib_001,t47_glib_001),
    []).

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(t54_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B,C] : 
          ( m3_glib_000(C,A,k6_glib_000(A),k1_card_fil(k7_glib_000(A),k1_tarski(B)))
         => ( k25_glib_000(A,C) = k6_glib_000(A)
            & k26_glib_000(A,C) = k1_card_fil(k7_glib_000(A),k1_tarski(B)) ) ) ) ),
    file(glib_000,t54_glib_000),
    []).

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_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),B) ) ) ) ),
    file(funct_2,t7_funct_2),
    []).

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(t92_real_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(k6_xcmplx_0(A,D),k6_xcmplx_0(B,C)) )
                    & ~ ( ( ( ~ r1_xreal_0(B,A)
                            & r1_xreal_0(C,D) )
                          | ( r1_xreal_0(A,B)
                            & ~ r1_xreal_0(D,C) ) )
                        & r1_xreal_0(k6_xcmplx_0(B,C),k6_xcmplx_0(A,D)) ) ) ) ) ) ) ),
    file(real_1,t92_real_1),
    []).