% Mizar problem: t34_glib_004,glib_004,2386,52 
fof(t34_glib_004,conjecture,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v2_glib_000(A)
        & v1_glib_003(A)
        & v7_glib_003(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( ( ~ v1_xboole_0(B)
            & m1_subset_1(B,k1_zfmisc_1(k6_glib_000(A))) )
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(k22_glib_000(A,B)))
             => ! [D] : 
                  ( ( v1_glib_003(D)
                    & v4_glib_003(D,A)
                    & m3_glib_000(D,A,B,C) )
                 => ! [E,F] : 
                      ( ( v1_glib_003(F)
                        & v4_glib_003(F,A)
                        & m3_glib_000(F,A,B,k2_xboole_0(C,k1_tarski(E))) )
                     => ( r2_hidden(E,k22_glib_000(A,B))
                       => ( r2_hidden(E,C)
                          | k3_real_1(k9_glib_004(D),k1_seq_1(k5_glib_003(A),E)) = k9_glib_004(F) ) ) ) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[antisymmetry_r2_hidden,cc10_glib_000,cc10_membered,cc11_glib_000,cc11_membered,cc12_glib_000,cc12_membered,cc13_glib_000,cc13_membered,cc14_glib_000,cc14_membered,cc15_glib_000,cc15_membered,cc16_glib_000,cc16_membered,cc17_glib_000,cc17_membered,cc18_glib_000,cc18_membered,cc19_glib_000,cc19_membered,cc1_abian,cc1_finset_1,cc1_funct_1,cc1_glib_000,cc1_glib_002,cc1_membered,cc1_relat_1,cc1_xreal_0,cc20_membered,cc2_finset_1,cc2_funct_1,cc2_glib_000,cc2_glib_002,cc2_membered,cc2_xreal_0,cc3_glib_000,cc3_glib_002,cc3_int_1,cc3_membered,cc3_polynom1,cc3_xreal_0,cc4_glib_000,cc4_glib_002,cc4_glib_003,cc4_int_1,cc4_membered,cc4_xreal_0,cc5_glib_000,cc5_glib_002,cc5_polynom1,cc5_xreal_0,cc6_glib_000,cc6_glib_002,cc6_membered,cc6_polynom1,cc6_xreal_0,cc7_glib_000,cc7_glib_002,cc7_xreal_0,cc8_glib_000,cc8_xreal_0,cc9_glib_000,commutativity_k2_xboole_0,commutativity_k2_xcmplx_0,commutativity_k3_real_1,d10_glib_003,d11_glib_004,d1_funct_4,d1_seq_1,d1_tarski,d2_xboole_0,d39_glib_000,d3_pboole,d3_tarski,dt_k1_card_fil,dt_k1_funct_1,dt_k1_funct_4,dt_k1_numbers,dt_k1_relat_1,dt_k1_seq_1,dt_k1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k22_glib_000,dt_k25_glib_000,dt_k26_glib_000,dt_k2_relat_1,dt_k2_xboole_0,dt_k2_xcmplx_0,dt_k3_cqc_lang,dt_k3_real_1,dt_k3_uproots,dt_k4_xboole_0,dt_k5_glib_003,dt_k6_domain_1,dt_k6_glib_000,dt_k7_glib_000,dt_k7_relat_1,dt_k9_glib_004,dt_m1_glib_000,dt_m1_pboole,dt_m1_subset_1,dt_m2_glib_000,dt_m3_glib_000,existence_m1_glib_000,existence_m1_pboole,existence_m1_subset_1,existence_m2_glib_000,existence_m3_glib_000,fc10_membered,fc10_xreal_0,fc11_membered,fc11_xreal_0,fc12_finset_1,fc12_relat_1,fc12_xreal_0,fc13_relat_1,fc14_polynom1,fc17_abian,fc1_finset_1,fc1_glib_000,fc1_glib_002,fc1_glib_003,fc1_int_1,fc1_subset_1,fc1_xboole_0,fc20_polynom1,fc22_membered,fc23_membered,fc24_membered,fc25_membered,fc26_membered,fc2_glib_000,fc2_membered,fc2_relat_1,fc2_subset_1,fc2_xboole_0,fc37_membered,fc38_membered,fc39_membered,fc3_polynom1,fc3_relat_1,fc3_xboole_0,fc3_xreal_0,fc40_membered,fc41_membered,fc4_funct_1,fc4_glib_000,fc4_relat_1,fc52_glib_003,fc55_glib_003,fc5_glib_000,fc5_polynom1,fc5_relat_1,fc6_glib_000,fc6_membered,fc6_relat_1,fc7_membered,fc7_relat_1,fc7_xreal_0,fc8_membered,fc8_relat_1,fc8_xreal_0,fc9_finset_1,fc9_membered,fc9_xreal_0,idempotence_k1_funct_4,idempotence_k2_xboole_0,rc10_polynom1,rc11_glib_003,rc11_polynom1,rc13_polynom1,rc1_finset_1,rc1_funct_1,rc1_glib_000,rc1_glib_002,rc1_int_1,rc1_membered,rc1_relat_1,rc1_subset_1,rc1_xboole_0,rc1_xreal_0,rc2_funct_1,rc2_glib_000,rc2_glib_002,rc2_int_1,rc2_polynom1,rc2_relat_1,rc2_subset_1,rc2_xboole_0,rc2_xreal_0,rc3_finset_1,rc3_funct_1,rc3_glib_000,rc3_glib_002,rc3_glib_003,rc3_relat_1,rc3_xreal_0,rc4_finset_1,rc4_funct_1,rc4_glib_000,rc4_xreal_0,rc5_glib_000,rc7_polynom1,rc8_polynom1,rc9_polynom1,redefinition_k1_card_fil,redefinition_k1_seq_1,redefinition_k25_glib_000,redefinition_k26_glib_000,redefinition_k3_real_1,redefinition_k6_domain_1,reflexivity_r1_tarski,reflexivity_r5_glib_000,symmetry_r5_glib_000,t12_funct_4,t14_funct_4,t1_boole,t1_subset,t2_subset,t37_zfmisc_1,t3_boole,t3_glib_004,t3_subset,t40_xboole_1,t4_boole,t4_glib_004,t4_subset,t5_cqc_lang,t5_subset,t67_zfmisc_1,t6_boole,t6_cqc_lang,t72_funct_1,t7_boole,t8_boole,t8_xboole_1,t9_funct_1]),
    [file(glib_004,t34_glib_004)]).

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

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

fof(cc12_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(cc12_membered,axiom,(
    ! [A] : 
      ( v3_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v1_xreal_0(B)
            & v1_rat_1(B) ) ) ) ),
    file(membered,cc12_membered),
    []).

fof(cc13_glib_000,axiom,(
    ! [A,B,C] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m1_subset_1(B,k6_glib_000(A))
        & m1_subset_1(C,k1_zfmisc_1(k22_glib_000(A,k6_domain_1(k6_glib_000(A),B)))) )
     => ! [D] : 
          ( m3_glib_000(D,A,k6_domain_1(k6_glib_000(A),B),C)
         => v4_glib_000(D) ) ) ),
    file(glib_000,cc13_glib_000),
    []).

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

fof(cc14_glib_000,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m1_subset_1(B,k6_glib_000(A)) )
     => ! [C] : 
          ( m3_glib_000(C,A,k6_domain_1(k6_glib_000(A),B),k1_xboole_0)
         => ( v2_glib_000(C)
            & v4_glib_000(C) ) ) ) ),
    file(glib_000,cc14_glib_000),
    []).

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

fof(cc15_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(cc15_membered,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => ( v1_membered(A)
        & v2_membered(A)
        & v3_membered(A)
        & v4_membered(A)
        & v5_membered(A) ) ) ),
    file(membered,cc15_membered),
    []).

fof(cc16_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(cc16_membered,axiom,(
    ! [A] : 
      ( v1_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => v1_membered(B) ) ) ),
    file(membered,cc16_membered),
    []).

fof(cc17_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(cc17_membered,axiom,(
    ! [A] : 
      ( v2_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B) ) ) ) ),
    file(membered,cc17_membered),
    []).

fof(cc18_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(cc18_membered,axiom,(
    ! [A] : 
      ( v3_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B)
            & v3_membered(B) ) ) ) ),
    file(membered,cc18_membered),
    []).

fof(cc19_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(cc19_membered,axiom,(
    ! [A] : 
      ( v4_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B)
            & v3_membered(B)
            & v4_membered(B) ) ) ) ),
    file(membered,cc19_membered),
    []).

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

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

fof(cc1_funct_1,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => v1_funct_1(A) ) ),
    file(funct_1,cc1_funct_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_membered,axiom,(
    ! [A] : 
      ( v5_membered(A)
     => v4_membered(A) ) ),
    file(membered,cc1_membered),
    []).

fof(cc1_relat_1,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => v1_relat_1(A) ) ),
    file(relat_1,cc1_relat_1),
    []).

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

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

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

fof(cc2_funct_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_xboole_0(A)
        & v1_funct_1(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v2_funct_1(A) ) ) ),
    file(funct_1,cc2_funct_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_membered,axiom,(
    ! [A] : 
      ( v4_membered(A)
     => v3_membered(A) ) ),
    file(membered,cc2_membered),
    []).

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

fof(cc3_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_membered,axiom,(
    ! [A] : 
      ( v3_membered(A)
     => v2_membered(A) ) ),
    file(membered,cc3_membered),
    []).

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

fof(cc4_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_glib_003,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v1_glib_003(A)
        & v7_glib_003(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( m2_glib_000(B,A)
         => ( ( v1_glib_003(B)
              & v4_glib_003(B,A) )
           => ( v1_glib_003(B)
              & v4_glib_003(B,A)
              & v7_glib_003(B) ) ) ) ) ),
    file(glib_003,cc4_glib_003),
    []).

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

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

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

fof(cc5_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(cc5_xreal_0,axiom,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & v3_xreal_0(A) )
     => ( ~ v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A) ) ) ),
    file(xreal_0,cc5_xreal_0),
    []).

fof(cc6_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(cc6_glib_002,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m1_subset_1(B,k6_glib_000(A)) )
     => ! [C] : 
          ( m3_glib_000(C,A,k6_domain_1(k6_glib_000(A),B),k1_xboole_0)
         => ( v2_glib_000(C)
            & v4_glib_000(C)
            & v7_glib_000(C)
            & v3_glib_002(C) ) ) ) ),
    file(glib_002,cc6_glib_002),
    []).

fof(cc6_membered,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k1_numbers))
     => ( v1_membered(A)
        & v2_membered(A) ) ) ),
    file(membered,cc6_membered),
    []).

fof(cc6_polynom1,axiom,(
    ! [A] : 
      ( v1_finset_1(A)
     => ! [B] : 
          ( m1_pboole(B,A)
         => v1_polynom1(B) ) ) ),
    file(polynom1,cc6_polynom1),
    []).

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

fof(cc7_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(cc7_xreal_0,axiom,(
    ! [A] : 
      ( ( v1_xboole_0(A)
        & v1_xreal_0(A) )
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(xreal_0,cc7_xreal_0),
    []).

fof(cc8_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(cc8_xreal_0,axiom,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & ~ v2_xreal_0(A)
        & ~ v3_xreal_0(A) )
     => ( v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A) ) ) ),
    file(xreal_0,cc8_xreal_0),
    []).

fof(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_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(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(d10_glib_003,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v1_glib_003(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( ( v1_glib_003(B)
            & m2_glib_000(B,A) )
         => ( v4_glib_003(B,A)
          <=> k5_glib_003(B) = k7_relat_1(k5_glib_003(A),k26_glib_000(A,B)) ) ) ) ),
    file(glib_003,d10_glib_003),
    []).

fof(d11_glib_004,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v2_glib_000(A)
        & v1_glib_003(A)
        & v7_glib_003(A)
        & m1_glib_000(A) )
     => k9_glib_004(A) = k3_uproots(k7_glib_000(A),k5_glib_003(A)) ) ),
    file(glib_004,d11_glib_004),
    []).

fof(d1_funct_4,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B] : 
          ( ( v1_relat_1(B)
            & v1_funct_1(B) )
         => ! [C] : 
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ( C = k1_funct_4(A,B)
              <=> ( k1_relat_1(C) = k2_xboole_0(k1_relat_1(A),k1_relat_1(B))
                  & ! [D] : 
                      ( r2_hidden(D,k2_xboole_0(k1_relat_1(A),k1_relat_1(B)))
                     => ( ( r2_hidden(D,k1_relat_1(B))
                         => k1_funct_1(C,D) = k1_funct_1(B,D) )
                        & ( ~ r2_hidden(D,k1_relat_1(B))
                         => k1_funct_1(C,D) = k1_funct_1(A,D) ) ) ) ) ) ) ) ) ),
    file(funct_4,d1_funct_4),
    []).

fof(d1_seq_1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => ( v1_seq_1(A)
      <=> r1_tarski(k2_relat_1(A),k1_numbers) ) ) ),
    file(seq_1,d1_seq_1),
    []).

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

fof(d2_xboole_0,axiom,(
    ! [A,B,C] : 
      ( C = k2_xboole_0(A,B)
    <=> ! [D] : 
          ( r2_hidden(D,C)
        <=> ( r2_hidden(D,A)
            | r2_hidden(D,B) ) ) ) ),
    file(xboole_0,d2_xboole_0),
    []).

fof(d39_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B,C,D] : 
          ( m2_glib_000(D,A)
         => ( ( ( ~ v1_xboole_0(B)
                & m1_subset_1(B,k1_zfmisc_1(k6_glib_000(A)))
                & r1_tarski(C,k22_glib_000(A,B)) )
             => ( m3_glib_000(D,A,B,C)
              <=> ( k25_glib_000(A,D) = B
                  & k26_glib_000(A,D) = C ) ) )
            & ( ~ ( ~ v1_xboole_0(B)
                  & m1_subset_1(B,k1_zfmisc_1(k6_glib_000(A)))
                  & r1_tarski(C,k22_glib_000(A,B)) )
             => ( m3_glib_000(D,A,B,C)
              <=> r5_glib_000(D,A) ) ) ) ) ) ),
    file(glib_000,d39_glib_000),
    []).

fof(d3_pboole,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(B)
        & v1_funct_1(B) )
     => ( m1_pboole(B,A)
      <=> k1_relat_1(B) = A ) ) ),
    file(pboole,d3_pboole),
    []).

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_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_funct_4,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B) )
     => ( v1_relat_1(k1_funct_4(A,B))
        & v1_funct_1(k1_funct_4(A,B)) ) ) ),
    file(funct_4,k1_funct_4),
    []).

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_seq_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_seq_1(A) )
     => m1_subset_1(k1_seq_1(A,B),k1_numbers) ) ),
    file(seq_1,k1_seq_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_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_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_relat_1,axiom,(
    $true ),
    file(relat_1,k2_relat_1),
    []).

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_k3_cqc_lang,axiom,(
    $true ),
    file(cqc_lang,k3_cqc_lang),
    []).

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_k3_uproots,axiom,(
    ! [A,B] : 
      ( ( v1_seq_1(B)
        & v1_polynom1(B)
        & m1_pboole(B,A) )
     => v1_xreal_0(k3_uproots(A,B)) ) ),
    file(uproots,k3_uproots),
    []).

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

fof(dt_k5_glib_003,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v1_glib_003(A)
        & m1_glib_000(A) )
     => m1_pboole(k5_glib_003(A),k7_glib_000(A)) ) ),
    file(glib_003,k5_glib_003),
    []).

fof(dt_k6_domain_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A) )
     => m1_subset_1(k6_domain_1(A,B),k1_zfmisc_1(A)) ) ),
    file(domain_1,k6_domain_1),
    []).

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

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

fof(dt_k7_relat_1,axiom,(
    ! [A,B] : 
      ( v1_relat_1(A)
     => v1_relat_1(k7_relat_1(A,B)) ) ),
    file(relat_1,k7_relat_1),
    []).

fof(dt_k9_glib_004,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v2_glib_000(A)
        & v1_glib_003(A)
        & v7_glib_003(A)
        & m1_glib_000(A) )
     => m1_subset_1(k9_glib_004(A),k1_numbers) ) ),
    file(glib_004,k9_glib_004),
    []).

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_pboole,axiom,(
    ! [A,B] : 
      ( m1_pboole(B,A)
     => ( v1_relat_1(B)
        & v1_funct_1(B) ) ) ),
    file(pboole,m1_pboole),
    []).

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_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_pboole,axiom,(
    ! [A] : 
    ? [B] : m1_pboole(B,A) ),
    file(pboole,m1_pboole),
    []).

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

fof(fc10_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v2_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v3_xreal_0(B) )
     => ( ~ v1_xboole_0(k2_xcmplx_0(B,A))
        & v1_xcmplx_0(k2_xcmplx_0(B,A))
        & v1_xreal_0(k2_xcmplx_0(B,A))
        & v2_xreal_0(k2_xcmplx_0(B,A))
        & ~ v3_xreal_0(k2_xcmplx_0(B,A)) ) ) ),
    file(xreal_0,fc10_xreal_0),
    []).

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

fof(fc11_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v3_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v2_xreal_0(B) )
     => ( ~ v1_xboole_0(k2_xcmplx_0(A,B))
        & v1_xcmplx_0(k2_xcmplx_0(A,B))
        & v1_xreal_0(k2_xcmplx_0(A,B))
        & ~ v2_xreal_0(k2_xcmplx_0(A,B))
        & v3_xreal_0(k2_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc11_xreal_0),
    []).

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(fc12_relat_1,axiom,
    ( v1_xboole_0(k1_xboole_0)
    & v1_relat_1(k1_xboole_0)
    & v3_relat_1(k1_xboole_0) ),
    file(relat_1,fc12_relat_1),
    []).

fof(fc12_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v3_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v2_xreal_0(B) )
     => ( ~ v1_xboole_0(k2_xcmplx_0(B,A))
        & v1_xcmplx_0(k2_xcmplx_0(B,A))
        & v1_xreal_0(k2_xcmplx_0(B,A))
        & ~ v2_xreal_0(k2_xcmplx_0(B,A))
        & v3_xreal_0(k2_xcmplx_0(B,A)) ) ) ),
    file(xreal_0,fc12_xreal_0),
    []).

fof(fc13_relat_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v3_relat_1(A) )
     => ( v1_relat_1(k7_relat_1(A,B))
        & v3_relat_1(k7_relat_1(A,B)) ) ) ),
    file(relat_1,fc13_relat_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_glib_003,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_seq_1(A) )
     => ( v1_relat_1(k7_relat_1(A,B))
        & v1_seq_1(k7_relat_1(A,B)) ) ) ),
    file(glib_003,fc1_glib_003),
    []).

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_subset_1,axiom,(
    ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ),
    file(subset_1,fc1_subset_1),
    []).

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

fof(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(fc22_membered,axiom,(
    ! [A,B] : 
      ( ( v1_membered(A)
        & v1_membered(B) )
     => v1_membered(k2_xboole_0(A,B)) ) ),
    file(membered,fc22_membered),
    []).

fof(fc23_membered,axiom,(
    ! [A,B] : 
      ( ( v2_membered(A)
        & v2_membered(B) )
     => ( v1_membered(k2_xboole_0(A,B))
        & v2_membered(k2_xboole_0(A,B)) ) ) ),
    file(membered,fc23_membered),
    []).

fof(fc24_membered,axiom,(
    ! [A,B] : 
      ( ( v3_membered(A)
        & v3_membered(B) )
     => ( v1_membered(k2_xboole_0(A,B))
        & v2_membered(k2_xboole_0(A,B))
        & v3_membered(k2_xboole_0(A,B)) ) ) ),
    file(membered,fc24_membered),
    []).

fof(fc25_membered,axiom,(
    ! [A,B] : 
      ( ( v4_membered(A)
        & v4_membered(B) )
     => ( v1_membered(k2_xboole_0(A,B))
        & v2_membered(k2_xboole_0(A,B))
        & v3_membered(k2_xboole_0(A,B))
        & v4_membered(k2_xboole_0(A,B)) ) ) ),
    file(membered,fc25_membered),
    []).

fof(fc26_membered,axiom,(
    ! [A,B] : 
      ( ( v5_membered(A)
        & v5_membered(B) )
     => ( v1_membered(k2_xboole_0(A,B))
        & v2_membered(k2_xboole_0(A,B))
        & v3_membered(k2_xboole_0(A,B))
        & v4_membered(k2_xboole_0(A,B))
        & v5_membered(k2_xboole_0(A,B)) ) ) ),
    file(membered,fc26_membered),
    []).

fof(fc2_glib_000,axiom,(
    ! [A,B] : 
      ( v1_relat_1(k3_cqc_lang(A,B))
      & v1_funct_1(k3_cqc_lang(A,B))
      & v1_finset_1(k3_cqc_lang(A,B)) ) ),
    file(glib_000,fc2_glib_000),
    []).

fof(fc2_membered,axiom,
    ( ~ v1_xboole_0(k1_numbers)
    & v1_membered(k1_numbers)
    & v2_membered(k1_numbers) ),
    file(membered,fc2_membered),
    []).

fof(fc2_relat_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_relat_1(B) )
     => v1_relat_1(k2_xboole_0(A,B)) ) ),
    file(relat_1,fc2_relat_1),
    []).

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

fof(fc2_xboole_0,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(A)
     => ~ v1_xboole_0(k2_xboole_0(A,B)) ) ),
    file(xboole_0,fc2_xboole_0),
    []).

fof(fc37_membered,axiom,(
    ! [A,B] : 
      ( v1_membered(A)
     => v1_membered(k4_xboole_0(A,B)) ) ),
    file(membered,fc37_membered),
    []).

fof(fc38_membered,axiom,(
    ! [A,B] : 
      ( v2_membered(A)
     => ( v1_membered(k4_xboole_0(A,B))
        & v2_membered(k4_xboole_0(A,B)) ) ) ),
    file(membered,fc38_membered),
    []).

fof(fc39_membered,axiom,(
    ! [A,B] : 
      ( v3_membered(A)
     => ( v1_membered(k4_xboole_0(A,B))
        & v2_membered(k4_xboole_0(A,B))
        & v3_membered(k4_xboole_0(A,B)) ) ) ),
    file(membered,fc39_membered),
    []).

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(fc3_relat_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_relat_1(B) )
     => v1_relat_1(k4_xboole_0(A,B)) ) ),
    file(relat_1,fc3_relat_1),
    []).

fof(fc3_xboole_0,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(A)
     => ~ v1_xboole_0(k2_xboole_0(B,A)) ) ),
    file(xboole_0,fc3_xboole_0),
    []).

fof(fc3_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => ( v1_xcmplx_0(k2_xcmplx_0(A,B))
        & v1_xreal_0(k2_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc3_xreal_0),
    []).

fof(fc40_membered,axiom,(
    ! [A,B] : 
      ( v4_membered(A)
     => ( v1_membered(k4_xboole_0(A,B))
        & v2_membered(k4_xboole_0(A,B))
        & v3_membered(k4_xboole_0(A,B))
        & v4_membered(k4_xboole_0(A,B)) ) ) ),
    file(membered,fc40_membered),
    []).

fof(fc41_membered,axiom,(
    ! [A,B] : 
      ( v5_membered(A)
     => ( v1_membered(k4_xboole_0(A,B))
        & v2_membered(k4_xboole_0(A,B))
        & v3_membered(k4_xboole_0(A,B))
        & v4_membered(k4_xboole_0(A,B))
        & v5_membered(k4_xboole_0(A,B)) ) ) ),
    file(membered,fc41_membered),
    []).

fof(fc4_funct_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ( v1_relat_1(k7_relat_1(A,B))
        & v1_funct_1(k7_relat_1(A,B)) ) ) ),
    file(funct_1,fc4_funct_1),
    []).

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_relat_1,axiom,
    ( v1_xboole_0(k1_xboole_0)
    & v1_relat_1(k1_xboole_0) ),
    file(relat_1,fc4_relat_1),
    []).

fof(fc52_glib_003,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v2_glib_000(A)
        & v1_glib_003(A)
        & m1_glib_000(A) )
     => ( v1_relat_1(k5_glib_003(A))
        & v1_funct_1(k5_glib_003(A))
        & v1_finset_1(k5_glib_003(A))
        & v1_polynom1(k5_glib_003(A)) ) ) ),
    file(glib_003,fc52_glib_003),
    []).

fof(fc55_glib_003,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v1_glib_003(A)
        & v7_glib_003(A)
        & m1_glib_000(A) )
     => ( v1_relat_1(k5_glib_003(A))
        & v1_funct_1(k5_glib_003(A))
        & v1_seq_1(k5_glib_003(A)) ) ) ),
    file(glib_003,fc55_glib_003),
    []).

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(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(fc5_relat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_relat_1(A) )
     => ~ v1_xboole_0(k1_relat_1(A)) ) ),
    file(relat_1,fc5_relat_1),
    []).

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

fof(fc6_relat_1,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_relat_1(A) )
     => ~ v1_xboole_0(k2_relat_1(A)) ) ),
    file(relat_1,fc6_relat_1),
    []).

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

fof(fc7_relat_1,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => ( v1_xboole_0(k1_relat_1(A))
        & v1_relat_1(k1_relat_1(A)) ) ) ),
    file(relat_1,fc7_relat_1),
    []).

fof(fc7_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & ~ v3_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v3_xreal_0(B) )
     => ( v1_xcmplx_0(k2_xcmplx_0(A,B))
        & v1_xreal_0(k2_xcmplx_0(A,B))
        & ~ v3_xreal_0(k2_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc7_xreal_0),
    []).

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

fof(fc8_relat_1,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => ( v1_xboole_0(k2_relat_1(A))
        & v1_relat_1(k2_relat_1(A)) ) ) ),
    file(relat_1,fc8_relat_1),
    []).

fof(fc8_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & ~ v2_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v2_xreal_0(B) )
     => ( v1_xcmplx_0(k2_xcmplx_0(A,B))
        & v1_xreal_0(k2_xcmplx_0(A,B))
        & ~ v2_xreal_0(k2_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc8_xreal_0),
    []).

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

fof(fc9_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v2_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v3_xreal_0(B) )
     => ( ~ v1_xboole_0(k2_xcmplx_0(A,B))
        & v1_xcmplx_0(k2_xcmplx_0(A,B))
        & v1_xreal_0(k2_xcmplx_0(A,B))
        & v2_xreal_0(k2_xcmplx_0(A,B))
        & ~ v3_xreal_0(k2_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc9_xreal_0),
    []).

fof(idempotence_k1_funct_4,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B) )
     => k1_funct_4(A,A) = A ) ),
    file(funct_4,k1_funct_4),
    []).

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

fof(rc10_polynom1,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_pboole(B,A)
      & v1_relat_1(B)
      & v1_funct_1(B)
      & v1_seq_1(B) ) ),
    file(polynom1,rc10_polynom1),
    []).

fof(rc11_glib_003,axiom,(
    ! [A,B,C] : 
      ( ( v1_glib_000(A)
        & v1_glib_003(A)
        & m1_glib_000(A) )
     => ? [D] : 
          ( m3_glib_000(D,A,B,C)
          & v1_relat_1(D)
          & v1_funct_1(D)
          & v1_finset_1(D)
          & v1_polynom1(D)
          & v1_glib_000(D)
          & v1_glib_003(D)
          & v4_glib_003(D,A) ) ) ),
    file(glib_003,rc11_glib_003),
    []).

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(rc13_polynom1,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_pboole(B,A)
      & v1_relat_1(B)
      & v1_funct_1(B)
      & v1_seq_1(B)
      & v7_seqm_3(B)
      & v1_polynom1(B) ) ),
    file(polynom1,rc13_polynom1),
    []).

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

fof(rc1_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc1_funct_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_membered,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_membered(A)
      & v2_membered(A)
      & v3_membered(A)
      & v4_membered(A)
      & v5_membered(A) ) ),
    file(membered,rc1_membered),
    []).

fof(rc1_relat_1,axiom,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_relat_1(A) ) ),
    file(relat_1,rc1_relat_1),
    []).

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

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

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

fof(rc2_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_xboole_0(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc2_funct_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_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(rc2_relat_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_relat_1(A) ) ),
    file(relat_1,rc2_relat_1),
    []).

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

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

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

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

fof(rc3_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A) ) ),
    file(funct_1,rc3_funct_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_glib_003,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v1_glib_003(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)
          & v1_glib_003(B)
          & v4_glib_003(B,A) ) ) ),
    file(glib_003,rc3_glib_003),
    []).

fof(rc3_relat_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v3_relat_1(A) ) ),
    file(relat_1,rc3_relat_1),
    []).

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

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

fof(rc4_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v3_relat_1(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc4_funct_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(rc4_xreal_0,axiom,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & ~ v2_xreal_0(A)
      & ~ v3_xreal_0(A) ) ),
    file(xreal_0,rc4_xreal_0),
    []).

fof(rc5_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(rc8_polynom1,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_pboole(B,A)
      & v1_relat_1(B)
      & v1_funct_1(B)
      & v1_seq_1(B)
      & v7_seqm_3(B) ) ),
    file(polynom1,rc8_polynom1),
    []).

fof(rc9_polynom1,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_pboole(B,A)
      & v1_relat_1(B)
      & v1_funct_1(B)
      & v1_seq_1(B) ) ),
    file(polynom1,rc9_polynom1),
    []).

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_seq_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_seq_1(A) )
     => k1_seq_1(A,B) = k1_funct_1(A,B) ) ),
    file(seq_1,k1_seq_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_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_k6_domain_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,A) )
     => k6_domain_1(A,B) = k1_tarski(B) ) ),
    file(domain_1,k6_domain_1),
    []).

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

fof(reflexivity_r5_glib_000,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v1_glib_000(B)
        & m1_glib_000(B) )
     => r5_glib_000(A,A) ) ),
    file(glib_000,r5_glib_000),
    []).

fof(symmetry_r5_glib_000,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v1_glib_000(B)
        & m1_glib_000(B) )
     => ( r5_glib_000(A,B)
       => r5_glib_000(B,A) ) ) ),
    file(glib_000,r5_glib_000),
    []).

fof(t12_funct_4,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(B)
        & v1_funct_1(B) )
     => ! [C] : 
          ( ( v1_relat_1(C)
            & v1_funct_1(C) )
         => ( ~ r2_hidden(A,k1_relat_1(B))
           => k1_funct_1(k1_funct_4(C,B),A) = k1_funct_1(C,A) ) ) ) ),
    file(funct_4,t12_funct_4),
    []).

fof(t14_funct_4,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(B)
        & v1_funct_1(B) )
     => ! [C] : 
          ( ( v1_relat_1(C)
            & v1_funct_1(C) )
         => ( r2_hidden(A,k1_relat_1(B))
           => k1_funct_1(k1_funct_4(C,B),A) = k1_funct_1(B,A) ) ) ) ),
    file(funct_4,t14_funct_4),
    []).

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

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

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_zfmisc_1,axiom,(
    ! [A,B] : 
      ( r1_tarski(k1_tarski(A),B)
    <=> r2_hidden(A,B) ) ),
    file(zfmisc_1,t37_zfmisc_1),
    []).

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

fof(t3_glib_004,axiom,(
    ! [A,B,C] : 
      ( ( v1_seq_1(C)
        & v1_polynom1(C)
        & m1_pboole(C,A) )
     => ! [D] : 
          ( ( v1_seq_1(D)
            & v1_polynom1(D)
            & m1_pboole(D,B) )
         => ! [E] : 
              ( ( v1_seq_1(E)
                & v1_polynom1(E)
                & m1_pboole(E,k1_card_fil(A,B)) )
             => ( C = k1_funct_4(D,E)
               => k3_uproots(A,C) = k2_xcmplx_0(k3_uproots(B,D),k3_uproots(k1_card_fil(A,B),E)) ) ) ) ) ),
    file(glib_004,t3_glib_004),
    []).

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

fof(t40_xboole_1,axiom,(
    ! [A,B] : k4_xboole_0(k2_xboole_0(A,B),B) = k4_xboole_0(A,B) ),
    file(xboole_1,t40_xboole_1),
    []).

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

fof(t4_glib_004,axiom,(
    ! [A,B,C] : 
      ( ( v1_seq_1(C)
        & v1_polynom1(C)
        & m1_pboole(C,A) )
     => ( k1_relat_1(C) = k1_tarski(B)
       => k3_uproots(A,C) = k1_seq_1(C,B) ) ) ),
    file(glib_004,t4_glib_004),
    []).

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

fof(t5_cqc_lang,axiom,(
    ! [A,B] : 
      ( k1_relat_1(k3_cqc_lang(A,B)) = k1_tarski(A)
      & k2_relat_1(k3_cqc_lang(A,B)) = k1_tarski(B) ) ),
    file(cqc_lang,t5_cqc_lang),
    []).

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(t67_zfmisc_1,axiom,(
    ! [A,B] : 
      ( k4_xboole_0(k1_tarski(A),B) = k1_tarski(A)
    <=> ~ r2_hidden(A,B) ) ),
    file(zfmisc_1,t67_zfmisc_1),
    []).

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

fof(t6_cqc_lang,axiom,(
    ! [A,B] : k1_funct_1(k3_cqc_lang(A,B),A) = B ),
    file(cqc_lang,t6_cqc_lang),
    []).

fof(t72_funct_1,axiom,(
    ! [A,B,C] : 
      ( ( v1_relat_1(C)
        & v1_funct_1(C) )
     => ( r2_hidden(B,A)
       => k1_funct_1(k7_relat_1(C,A),B) = k1_funct_1(C,B) ) ) ),
    file(funct_1,t72_funct_1),
    []).

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

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

fof(t8_xboole_1,axiom,(
    ! [A,B,C] : 
      ( ( r1_tarski(A,B)
        & r1_tarski(C,B) )
     => r1_tarski(k2_xboole_0(A,C),B) ) ),
    file(xboole_1,t8_xboole_1),
    []).

fof(t9_funct_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B] : 
          ( ( v1_relat_1(B)
            & v1_funct_1(B) )
         => ( ( k1_relat_1(A) = k1_relat_1(B)
              & ! [C] : 
                  ( r2_hidden(C,k1_relat_1(A))
                 => k1_funct_1(A,C) = k1_funct_1(B,C) ) )
           => A = B ) ) ) ),
    file(funct_1,t9_funct_1),
    []).