% Mizar problem: t41_glib_003,glib_003,2984,20 
fof(t41_glib_003,conjecture,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v2_glib_003(A)
        & m1_glib_000(A) )
     => ! [B,C] : r5_glib_000(A,k12_glib_003(A,B,C)) ) ),
    inference(mizar_bg_added,[status(thm)],[antisymmetry_r2_hidden,cc10_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,cc15_membered,cc16_membered,cc17_membered,cc18_membered,cc19_membered,cc1_finseq_1,cc1_finset_1,cc1_funct_1,cc1_membered,cc1_nat_1,cc1_pnproc_1,cc1_relset_1,cc1_seq_1,cc20_membered,cc2_finset_1,cc2_funct_1,cc2_int_1,cc2_membered,cc2_nat_1,cc2_pnproc_1,cc3_int_1,cc3_membered,cc3_nat_1,cc3_polynom1,cc4_int_1,cc4_membered,cc4_polynom1,cc5_polynom1,cc6_membered,cc8_circcmb3,cc9_circcmb3,cc9_membered,d21_glib_003,d2_glib_003,d36_glib_000,d8_glib_003,dt_k10_glib_000,dt_k11_glib_000,dt_k12_glib_003,dt_k13_glib_000,dt_k1_funct_1,dt_k1_funct_4,dt_k1_glib_000,dt_k1_numbers,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_glib_000,dt_k2_zfmisc_1,dt_k3_cqc_lang,dt_k3_glib_000,dt_k3_glib_003,dt_k4_glib_000,dt_k5_glib_000,dt_k5_numbers,dt_k5_ordinal2,dt_k6_glib_000,dt_k6_glib_003,dt_k7_glib_000,dt_k8_glib_000,dt_k9_glib_000,dt_m1_glib_000,dt_m1_relset_1,dt_m1_subset_1,dt_m2_relset_1,dt_m2_subset_1,existence_m1_glib_000,existence_m1_relset_1,existence_m1_subset_1,existence_m2_relset_1,existence_m2_subset_1,fc14_finset_1,fc14_polynom1,fc1_glib_000,fc1_glib_002,fc1_ordinal2,fc1_seq_1,fc20_polynom1,fc2_finseq_1,fc2_glib_000,fc2_membered,fc35_glib_003,fc3_glib_003,fc3_polynom1,fc41_glib_003,fc44_glib_003,fc48_glib_003,fc56_glib_003,fc5_membered,fc5_polynom1,fc6_membered,fc78_glib_003,fc7_circcmb3,idempotence_k1_funct_4,rc11_polynom1,rc12_polynom1,rc1_finseq_1,rc1_finset_1,rc1_funct_1,rc1_glib_000,rc1_int_1,rc1_membered,rc1_nat_1,rc1_seq_1,rc2_finseq_1,rc2_finset_1,rc2_funct_1,rc2_int_1,rc2_nat_1,rc2_polynom1,rc3_finseq_1,rc3_finset_1,rc3_funct_1,rc3_nat_1,rc4_finset_1,rc4_funct_1,rc5_finseq_1,rc6_circcmb3,rc6_finseq_1,rc7_finseq_1,rc7_polynom1,rc8_finseq_1,redefinition_k10_glib_000,redefinition_k11_glib_000,redefinition_k5_numbers,redefinition_m2_relset_1,redefinition_m2_subset_1,reflexivity_r1_tarski,reflexivity_r5_glib_000,spc1_boole,spc1_numerals,spc2_boole,spc2_numerals,spc3_boole,spc3_numerals,spc4_boole,spc4_numerals,spc6_boole,spc6_numerals,symmetry_r5_glib_000,t13_glib_000,t1_glib_000,t1_subset,t2_glib_000,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole]),
    [file(glib_003,t41_glib_003)]).

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

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

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

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

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

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

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

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

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

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

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

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

fof(cc1_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_membered,axiom,(
    ! [A] : 
      ( v5_membered(A)
     => v4_membered(A) ) ),
    file(membered,cc1_membered),
    []).

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_pnproc_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v2_finseq_1(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finset_1(A)
        & v2_finseq_1(A) ) ) ),
    file(pnproc_1,cc1_pnproc_1),
    []).

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

fof(cc1_seq_1,axiom,(
    ! [A,B] : 
      ( v2_membered(B)
     => ! [C] : 
          ( m1_relset_1(C,A,B)
         => ( v1_funct_1(C)
           => ( v1_funct_1(C)
              & v1_seq_1(C) ) ) ) ) ),
    file(seq_1,cc1_seq_1),
    []).

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

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(cc2_pnproc_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finset_1(A)
        & v2_finseq_1(A) ) ) ),
    file(pnproc_1,cc2_pnproc_1),
    []).

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

fof(cc8_circcmb3,axiom,(
    ! [A] : 
      ( ~ v2_facirc_1(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ~ v2_facirc_1(B) ) ) ),
    file(circcmb3,cc8_circcmb3),
    []).

fof(cc9_circcmb3,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v7_seqm_3(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v3_facirc_1(A) ) ) ),
    file(circcmb3,cc9_circcmb3),
    []).

fof(cc9_membered,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k5_numbers))
     => ( v1_membered(A)
        & v2_membered(A)
        & v3_membered(A)
        & v4_membered(A)
        & v5_membered(A) ) ) ),
    file(membered,cc9_membered),
    []).

fof(d21_glib_003,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v2_glib_003(A)
        & m1_glib_000(A) )
     => ! [B,C] : 
          ( ( r2_hidden(B,k7_glib_000(A))
           => k12_glib_003(A,B,C) = k13_glib_000(A,k3_glib_003,k1_funct_4(k6_glib_003(A),k3_cqc_lang(B,C))) )
          & ( ~ r2_hidden(B,k7_glib_000(A))
           => k12_glib_003(A,B,C) = A ) ) ) ),
    file(glib_003,d21_glib_003),
    []).

fof(d2_glib_003,axiom,(
    k3_glib_003 = 6 ),
    file(glib_003,d2_glib_003),
    []).

fof(d36_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] : 
          ( ( v1_glib_000(B)
            & m1_glib_000(B) )
         => ( r5_glib_000(A,B)
          <=> ( k6_glib_000(A) = k6_glib_000(B)
              & k7_glib_000(A) = k7_glib_000(B)
              & k10_glib_000(A) = k10_glib_000(B)
              & k11_glib_000(A) = k11_glib_000(B) ) ) ) ) ),
    file(glib_000,d36_glib_000),
    []).

fof(d8_glib_003,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v2_glib_003(A)
        & m1_glib_000(A) )
     => k6_glib_003(A) = k1_funct_1(A,k3_glib_003) ) ),
    file(glib_003,d8_glib_003),
    []).

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_k12_glib_003,axiom,(
    ! [A,B,C] : 
      ( ( v1_glib_000(A)
        & v2_glib_003(A)
        & m1_glib_000(A) )
     => ( v1_glib_000(k12_glib_003(A,B,C))
        & v2_glib_003(k12_glib_003(A,B,C))
        & m1_glib_000(k12_glib_003(A,B,C)) ) ) ),
    file(glib_003,k12_glib_003),
    []).

fof(dt_k13_glib_000,axiom,(
    ! [A,B,C] : 
      ( ( m1_glib_000(A)
        & m1_subset_1(B,k5_numbers) )
     => m1_glib_000(k13_glib_000(A,B,C)) ) ),
    file(glib_000,k13_glib_000),
    []).

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_glib_000,axiom,(
    m2_subset_1(k1_glib_000,k1_numbers,k5_numbers) ),
    file(glib_000,k1_glib_000),
    []).

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

fof(dt_k1_xboole_0,axiom,(
    $true ),
    file(xboole_0,k1_xboole_0),
    []).

fof(dt_k1_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k1_zfmisc_1),
    []).

fof(dt_k2_glib_000,axiom,(
    m2_subset_1(k2_glib_000,k1_numbers,k5_numbers) ),
    file(glib_000,k2_glib_000),
    []).

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

fof(dt_k3_cqc_lang,axiom,(
    $true ),
    file(cqc_lang,k3_cqc_lang),
    []).

fof(dt_k3_glib_000,axiom,(
    m2_subset_1(k3_glib_000,k1_numbers,k5_numbers) ),
    file(glib_000,k3_glib_000),
    []).

fof(dt_k3_glib_003,axiom,(
    m2_subset_1(k3_glib_003,k1_numbers,k5_numbers) ),
    file(glib_003,k3_glib_003),
    []).

fof(dt_k4_glib_000,axiom,(
    m2_subset_1(k4_glib_000,k1_numbers,k5_numbers) ),
    file(glib_000,k4_glib_000),
    []).

fof(dt_k5_glib_000,axiom,
    ( ~ v1_xboole_0(k5_glib_000)
    & m1_subset_1(k5_glib_000,k1_zfmisc_1(k5_numbers)) ),
    file(glib_000,k5_glib_000),
    []).

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_k6_glib_000,axiom,(
    $true ),
    file(glib_000,k6_glib_000),
    []).

fof(dt_k6_glib_003,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v2_glib_003(A)
        & m1_glib_000(A) )
     => ( v1_relat_1(k6_glib_003(A))
        & v1_funct_1(k6_glib_003(A)) ) ) ),
    file(glib_003,k6_glib_003),
    []).

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

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

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

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

fof(dt_m1_relset_1,axiom,(
    $true ),
    file(relset_1,m1_relset_1),
    []).

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

fof(dt_m2_relset_1,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
     => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ),
    file(relset_1,m2_relset_1),
    []).

fof(dt_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m2_subset_1(C,A,B)
         => m1_subset_1(C,A) ) ) ),
    file(subset_1,m2_subset_1),
    []).

fof(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_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(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_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(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_ordinal2,axiom,
    ( v1_ordinal1(k5_ordinal2)
    & v2_ordinal1(k5_ordinal2)
    & v3_ordinal1(k5_ordinal2)
    & ~ v1_xboole_0(k5_ordinal2) ),
    file(ordinal2,fc1_ordinal2),
    []).

fof(fc1_seq_1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_seq_1(A) )
     => ( v1_xcmplx_0(k1_funct_1(A,B))
        & v1_xreal_0(k1_funct_1(A,B)) ) ) ),
    file(seq_1,fc1_seq_1),
    []).

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_finseq_1,axiom,
    ( v1_xboole_0(k1_xboole_0)
    & v1_relat_1(k1_xboole_0)
    & v3_relat_1(k1_xboole_0)
    & v1_funct_1(k1_xboole_0)
    & v2_funct_1(k1_xboole_0)
    & v1_finset_1(k1_xboole_0)
    & v1_finseq_1(k1_xboole_0) ),
    file(finseq_1,fc2_finseq_1),
    []).

fof(fc2_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(fc35_glib_003,axiom,(
    ! [A,B,C] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v1_funct_1(C)
        & m1_relset_1(C,k7_glib_000(A),B) )
     => ( v1_relat_1(k13_glib_000(A,k3_glib_003,C))
        & v1_funct_1(k13_glib_000(A,k3_glib_003,C))
        & v1_finset_1(k13_glib_000(A,k3_glib_003,C))
        & v1_polynom1(k13_glib_000(A,k3_glib_003,C))
        & v1_glib_000(k13_glib_000(A,k3_glib_003,C))
        & v2_glib_003(k13_glib_000(A,k3_glib_003,C)) ) ) ),
    file(glib_003,fc35_glib_003),
    []).

fof(fc3_glib_003,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ( v1_relat_1(k13_glib_000(A,k3_glib_003,B))
        & v1_funct_1(k13_glib_000(A,k3_glib_003,B))
        & v1_finset_1(k13_glib_000(A,k3_glib_003,B))
        & v1_polynom1(k13_glib_000(A,k3_glib_003,B))
        & v1_glib_000(k13_glib_000(A,k3_glib_003,B)) ) ) ),
    file(glib_003,fc3_glib_003),
    []).

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(fc41_glib_003,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ( v1_relat_1(k13_glib_000(A,k3_glib_003,k1_xboole_0))
        & v1_funct_1(k13_glib_000(A,k3_glib_003,k1_xboole_0))
        & v1_finset_1(k13_glib_000(A,k3_glib_003,k1_xboole_0))
        & v1_polynom1(k13_glib_000(A,k3_glib_003,k1_xboole_0))
        & v1_glib_000(k13_glib_000(A,k3_glib_003,k1_xboole_0))
        & v2_glib_003(k13_glib_000(A,k3_glib_003,k1_xboole_0)) ) ) ),
    file(glib_003,fc41_glib_003),
    []).

fof(fc44_glib_003,axiom,(
    ! [A,B] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v1_funct_1(B)
        & m1_relset_1(B,k7_glib_000(A),k1_numbers) )
     => ( v1_relat_1(k13_glib_000(A,k3_glib_003,B))
        & v1_funct_1(k13_glib_000(A,k3_glib_003,B))
        & v1_finset_1(k13_glib_000(A,k3_glib_003,B))
        & v1_polynom1(k13_glib_000(A,k3_glib_003,B))
        & v1_glib_000(k13_glib_000(A,k3_glib_003,B))
        & v2_glib_003(k13_glib_000(A,k3_glib_003,B))
        & v9_glib_003(k13_glib_000(A,k3_glib_003,B)) ) ) ),
    file(glib_003,fc44_glib_003),
    []).

fof(fc48_glib_003,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ( v1_relat_1(k13_glib_000(A,k3_glib_003,k1_xboole_0))
        & v1_funct_1(k13_glib_000(A,k3_glib_003,k1_xboole_0))
        & v1_finset_1(k13_glib_000(A,k3_glib_003,k1_xboole_0))
        & v1_polynom1(k13_glib_000(A,k3_glib_003,k1_xboole_0))
        & v1_glib_000(k13_glib_000(A,k3_glib_003,k1_xboole_0))
        & v2_glib_003(k13_glib_000(A,k3_glib_003,k1_xboole_0))
        & v9_glib_003(k13_glib_000(A,k3_glib_003,k1_xboole_0)) ) ) ),
    file(glib_003,fc48_glib_003),
    []).

fof(fc56_glib_003,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & v2_glib_003(A)
        & v9_glib_003(A)
        & m1_glib_000(A) )
     => ( v1_relat_1(k6_glib_003(A))
        & v1_funct_1(k6_glib_003(A))
        & v1_seq_1(k6_glib_003(A)) ) ) ),
    file(glib_003,fc56_glib_003),
    []).

fof(fc5_membered,axiom,
    ( v1_membered(k5_ordinal2)
    & v2_membered(k5_ordinal2)
    & v3_membered(k5_ordinal2)
    & v4_membered(k5_ordinal2)
    & v5_membered(k5_ordinal2) ),
    file(membered,fc5_membered),
    []).

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_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(fc78_glib_003,axiom,(
    ! [A,B,C] : 
      ( ( v1_glib_000(A)
        & v2_glib_003(A)
        & v9_glib_003(A)
        & m1_glib_000(A)
        & m1_subset_1(C,k1_numbers) )
     => ( v1_relat_1(k12_glib_003(A,B,C))
        & v1_funct_1(k12_glib_003(A,B,C))
        & v1_finset_1(k12_glib_003(A,B,C))
        & v1_polynom1(k12_glib_003(A,B,C))
        & v1_glib_000(k12_glib_003(A,B,C))
        & v2_glib_003(k12_glib_003(A,B,C))
        & v9_glib_003(k12_glib_003(A,B,C)) ) ) ),
    file(glib_003,fc78_glib_003),
    []).

fof(fc7_circcmb3,axiom,
    ( ~ v1_xboole_0(k5_ordinal2)
    & v1_ordinal1(k5_ordinal2)
    & v2_ordinal1(k5_ordinal2)
    & v3_ordinal1(k5_ordinal2)
    & v1_membered(k5_ordinal2)
    & v2_membered(k5_ordinal2)
    & v3_membered(k5_ordinal2)
    & v4_membered(k5_ordinal2)
    & v5_membered(k5_ordinal2)
    & ~ v2_facirc_1(k5_ordinal2) ),
    file(circcmb3,fc7_circcmb3),
    []).

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(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_finseq_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finseq_1(A) ) ),
    file(finseq_1,rc1_finseq_1),
    []).

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_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_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(rc1_seq_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v1_seq_1(A) ) ),
    file(seq_1,rc1_seq_1),
    []).

fof(rc2_finseq_1,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_relset_1(B,k5_numbers,A)
      & v1_relat_1(B)
      & v1_funct_1(B)
      & v1_finset_1(B)
      & v1_finseq_1(B) ) ),
    file(finseq_1,rc2_finseq_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_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_xboole_0(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc2_funct_1),
    []).

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_finseq_1,axiom,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A) ) ),
    file(finseq_1,rc3_finseq_1),
    []).

fof(rc3_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_nat_1,axiom,(
    ? [A] : 
      ( m1_subset_1(A,k5_numbers)
      & ~ v1_xboole_0(A)
      & v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A)
      & v4_ordinal2(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A) ) ),
    file(nat_1,rc3_nat_1),
    []).

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

fof(rc4_funct_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v3_relat_1(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc4_funct_1),
    []).

fof(rc5_finseq_1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_finseq_1(A) ) ),
    file(finseq_1,rc5_finseq_1),
    []).

fof(rc6_circcmb3,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A)
      & v3_facirc_1(A)
      & v7_seqm_3(A) ) ),
    file(circcmb3,rc6_circcmb3),
    []).

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

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

fof(rc7_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_finseq_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A) ) ),
    file(finseq_1,rc8_finseq_1),
    []).

fof(redefinition_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_k5_numbers,axiom,(
    k5_numbers = k5_ordinal2 ),
    file(numbers,k5_numbers),
    []).

fof(redefinition_m2_relset_1,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
    <=> m1_relset_1(C,A,B) ) ),
    file(relset_1,m2_relset_1),
    []).

fof(redefinition_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m2_subset_1(C,A,B)
        <=> m1_subset_1(C,B) ) ) ),
    file(subset_1,m2_subset_1),
    []).

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

fof(reflexivity_r5_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(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(spc3_boole,axiom,(
    ~ v1_xboole_0(3) ),
    file(boole,spc3_boole),
    []).

fof(spc3_numerals,axiom,
    ( v2_xreal_0(3)
    & m1_subset_1(3,k5_numbers) ),
    file(numerals,spc3_numerals),
    []).

fof(spc4_boole,axiom,(
    ~ v1_xboole_0(4) ),
    file(boole,spc4_boole),
    []).

fof(spc4_numerals,axiom,
    ( v2_xreal_0(4)
    & m1_subset_1(4,k5_numbers) ),
    file(numerals,spc4_numerals),
    []).

fof(spc6_boole,axiom,(
    ~ v1_xboole_0(6) ),
    file(boole,spc6_boole),
    []).

fof(spc6_numerals,axiom,
    ( v2_xreal_0(6)
    & m1_subset_1(6,k5_numbers) ),
    file(numerals,spc6_numerals),
    []).

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(t13_glib_000,axiom,(
    ! [A] : 
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B,C] : 
          ( m2_subset_1(C,k1_numbers,k5_numbers)
         => ( ~ r2_hidden(C,k5_glib_000)
           => ( k6_glib_000(A) = k6_glib_000(k13_glib_000(A,C,B))
              & k7_glib_000(A) = k7_glib_000(k13_glib_000(A,C,B))
              & k10_glib_000(A) = k8_glib_000(k13_glib_000(A,C,B))
              & k11_glib_000(A) = k9_glib_000(k13_glib_000(A,C,B))
              & v1_glib_000(k13_glib_000(A,C,B))
              & m1_glib_000(k13_glib_000(A,C,B)) ) ) ) ) ),
    file(glib_000,t13_glib_000),
    []).

fof(t1_glib_000,axiom,
    ( k1_glib_000 = 1
    & k2_glib_000 = 2
    & k3_glib_000 = 3
    & k4_glib_000 = 4 ),
    file(glib_000,t1_glib_000),
    []).

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

fof(t2_glib_000,axiom,(
    ! [A] : 
      ( r2_hidden(A,k5_glib_000)
    <=> ~ ( A != k1_glib_000
          & A != k2_glib_000
          & A != k3_glib_000
          & A != k4_glib_000 ) ) ),
    file(glib_000,t2_glib_000),
    []).

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

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

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

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

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

fof(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),
    []).
