% Mizar problem: t41_neckla_3,neckla_3,5943,43 
fof(t41_neckla_3,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v1_orders_2(A)
        & v1_necklace(A)
        & v3_necklace(A)
        & v6_group_1(A)
        & l1_orders_2(A) )
     => ( ( v1_neckla_2(A)
          & r2_hidden(u1_struct_0(A),k13_classes2) )
       => r2_hidden(g1_orders_2(u1_struct_0(A),u1_orders_2(A)),k4_neckla_2) ) ) ),
    inference(mizar_bg_added,[status(thm)],[abstractness_v1_orders_2,antisymmetry_r2_hidden,cc1_amistd_1,cc1_card_1,cc1_finseq_1,cc1_finset_1,cc1_funct_2,cc1_nat_1,cc1_neckla_3,cc1_necklace,cc1_orders_4,cc1_partfun1,cc1_realset1,cc1_relset_1,cc1_xreal_0,cc1_yellow13,cc1_yellow_0,cc2_card_1,cc2_finset_1,cc2_funct_2,cc2_nat_1,cc2_neckla_2,cc2_neckla_3,cc2_necklace,cc2_xreal_0,cc2_yellow13,cc2_yellow_0,cc3_card_1,cc3_funct_2,cc3_nat_1,cc3_neckla_2,cc3_neckla_3,cc3_xreal_0,cc3_yellow13,cc3_yellow_0,cc4_funct_2,cc4_neckla_3,cc4_orders_4,cc4_xreal_0,cc4_yellow_0,cc5_funct_2,cc5_neckla_3,cc5_orders_4,cc5_xreal_0,cc5_yellow_0,cc6_funct_2,cc6_neckla_3,cc6_xreal_0,cc6_yellow_0,cc7_neckla_3,cc7_xreal_0,cc7_yellow_0,cc8_neckla_3,cc8_xreal_0,cc8_yellow_0,commutativity_k2_tarski,commutativity_k2_xboole_0,commutativity_k2_xcmplx_0,connectedness_r1_xreal_0,d10_necklace,d10_xboole_0,d14_group_1,d15_yellow_0,d1_neckla_2,d1_struct_0,d1_xboole_0,d2_classes2,d2_group_6,d2_neckla_2,d2_xboole_0,d3_neckla_2,d3_pre_topc,d3_tarski,d4_realset1,d4_xboole_0,d5_neckla_2,d5_realset2,d9_necklace,dt_g1_orders_2,dt_k13_classes2,dt_k1_card_1,dt_k1_classes1,dt_k1_neckla_2,dt_k1_necklace,dt_k1_numbers,dt_k1_struct_0,dt_k1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_neckla_2,dt_k2_necklace,dt_k2_pre_topc,dt_k2_tarski,dt_k2_xboole_0,dt_k2_xcmplx_0,dt_k2_zfmisc_1,dt_k3_neckla_2,dt_k3_necklace,dt_k3_subset_1,dt_k4_card_1,dt_k4_neckla_2,dt_k4_necklace,dt_k4_xboole_0,dt_k5_numbers,dt_k5_ordinal2,dt_k5_real_1,dt_k5_yellow_0,dt_k6_partfun1,dt_k6_relat_1,dt_k6_subset_1,dt_k6_xcmplx_0,dt_l1_orders_2,dt_l1_struct_0,dt_m1_relset_1,dt_m1_subset_1,dt_m1_yellow_0,dt_m2_relset_1,dt_m2_subset_1,dt_u1_orders_2,dt_u1_struct_0,existence_l1_orders_2,existence_l1_struct_0,existence_m1_relset_1,existence_m1_subset_1,existence_m1_yellow_0,existence_m2_relset_1,existence_m2_subset_1,fc10_neckla_3,fc10_xreal_0,fc11_neckla_3,fc11_xreal_0,fc12_finset_1,fc12_xreal_0,fc14_finset_1,fc15_xreal_0,fc16_xreal_0,fc17_xreal_0,fc18_xreal_0,fc19_xreal_0,fc1_finset_1,fc1_nat_1,fc1_neckla_2,fc1_neckla_3,fc1_orders_2,fc1_struct_0,fc1_xboole_0,fc1_yellow13,fc1_yellow_0,fc20_xreal_0,fc2_card_1,fc2_finseq_1,fc2_finset_1,fc2_neckla_2,fc2_neckla_3,fc2_orders_2,fc2_partfun1,fc2_xboole_0,fc2_yellow13,fc2_yellow_0,fc3_nat_1,fc3_neckla_3,fc3_necklace,fc3_orders_2,fc3_realset1,fc3_xboole_0,fc3_xreal_0,fc4_nat_1,fc4_neckla_3,fc4_necklace,fc5_neckla_3,fc5_necklace,fc5_xreal_0,fc6_neckla_3,fc6_necklace,fc7_neckla_3,fc7_necklace,fc7_xreal_0,fc8_neckla_3,fc8_necklace,fc8_xreal_0,fc9_finset_1,fc9_neckla_3,fc9_necklace,fc9_xreal_0,free_g1_orders_2,idempotence_k2_xboole_0,involutiveness_k3_subset_1,irreflexivity_r1_subset_1,l36_neckla_3,rc1_amistd_1,rc1_card_1,rc1_finseq_1,rc1_finset_1,rc1_funct_2,rc1_nat_1,rc1_neckla_2,rc1_neckla_3,rc1_necklace,rc1_orders_2,rc1_partfun1,rc1_realset1,rc1_xboole_0,rc1_xreal_0,rc1_yellow_0,rc2_card_1,rc2_finseq_1,rc2_finset_1,rc2_funct_2,rc2_nat_1,rc2_orders_2,rc2_partfun1,rc2_realset1,rc2_xboole_0,rc2_xreal_0,rc2_yellow13,rc2_yellow_0,rc3_finseq_1,rc3_finset_1,rc3_nat_1,rc3_partfun1,rc3_struct_0,rc3_xreal_0,rc3_yellow_0,rc4_finset_1,rc4_xreal_0,rc4_yellow_0,rc5_struct_0,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,redefinition_k1_struct_0,redefinition_k4_card_1,redefinition_k5_numbers,redefinition_k5_real_1,redefinition_k6_partfun1,redefinition_k6_subset_1,redefinition_m2_relset_1,redefinition_m2_subset_1,redefinition_r1_subset_1,redefinition_r3_necklace,reflexivity_r1_tarski,reflexivity_r1_xreal_0,reflexivity_r3_necklace,s4_nat_1__e2_62__neckla_3,spc0_boole,spc1_boole,spc1_numerals,spc2_boole,spc2_numerals,spc4_boole,spc4_numerals,symmetry_r1_subset_1,symmetry_r1_xboole_0,t10_neckla_3,t16_neckla_3,t16_yellow_6,t18_neckla_3,t1_arithm,t1_boole,t1_numerals,t1_real,t1_subset,t20_neckla_3,t23_neckla_3,t25_neckla_3,t2_real,t2_subset,t31_neckla_3,t31_xreal_1,t32_neckla_3,t34_neckla_3,t39_xboole_1,t3_boole,t3_real,t3_subset,t40_neckla_3,t41_enumset1,t4_arithm,t4_boole,t4_card_4,t4_neckla_2,t4_real,t4_subset,t58_card_2,t5_real,t5_subset,t60_card_2,t63_card_2,t66_card_1,t66_zfmisc_1,t68_card_2,t6_boole,t6_classes1,t6_neckla_2,t6_real,t76_card_2,t7_boole,t7_real,t7_xboole_1,t8_boole,t8_real]),
    [file(neckla_3,t41_neckla_3)]).

fof(abstractness_v1_orders_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v1_orders_2(A)
       => A = g1_orders_2(u1_struct_0(A),u1_orders_2(A)) ) ) ),
    file(orders_2,v1_orders_2),
    []).

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

fof(cc1_amistd_1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => ( v1_relat_1(A)
        & v1_setfam_1(A) ) ) ),
    file(amistd_1,cc1_amistd_1),
    []).

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

fof(cc1_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_2,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => ( ( v1_funct_1(C)
          & v1_partfun1(C,A,B) )
       => ( v1_funct_1(C)
          & v1_funct_2(C,A,B) ) ) ) ),
    file(funct_2,cc1_funct_2),
    []).

fof(cc1_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_neckla_3,axiom,(
    ! [A,B] : 
      ( ( v1_realset1(A)
        & v1_realset1(B) )
     => ! [C] : 
          ( m1_relset_1(C,A,B)
         => ( v1_finset_1(C)
            & v1_realset1(C) ) ) ) ),
    file(neckla_3,cc1_neckla_3),
    []).

fof(cc1_necklace,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => v1_card_1(A) ) ),
    file(necklace,cc1_necklace),
    []).

fof(cc1_orders_4,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v3_struct_0(A)
       => ( v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A) ) ) ) ),
    file(orders_4,cc1_orders_4),
    []).

fof(cc1_partfun1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v3_relat_2(A)
        & v8_relat_2(A) )
     => ( v1_relat_1(A)
        & v1_relat_2(A) ) ) ),
    file(partfun1,cc1_partfun1),
    []).

fof(cc1_realset1,axiom,(
    ! [A] : 
      ( ~ v1_realset1(A)
     => ~ v1_xboole_0(A) ) ),
    file(realset1,cc1_realset1),
    []).

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

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

fof(cc1_yellow13,axiom,(
    ! [A] : 
      ( v1_realset1(A)
     => v1_finset_1(A) ) ),
    file(yellow13,cc1_yellow13),
    []).

fof(cc1_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v3_lattice3(A) )
       => ( ~ v3_struct_0(A)
          & v1_lattice3(A)
          & v2_lattice3(A) ) ) ) ),
    file(yellow_0,cc1_yellow_0),
    []).

fof(cc2_card_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A)
        & v1_card_1(A) ) ) ),
    file(card_1,cc2_card_1),
    []).

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

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

fof(cc2_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_neckla_2,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k13_classes2)
     => v1_finset_1(A) ) ),
    file(neckla_2,cc2_neckla_2),
    []).

fof(cc2_neckla_3,axiom,(
    ! [A] : 
      ( v1_realset1(A)
     => ! [B] : 
          ( m1_relset_1(B,A,A)
         => ( v1_relat_2(B)
            & v3_relat_2(B)
            & v7_relat_2(B)
            & v8_relat_2(B)
            & v1_finset_1(B)
            & v1_realset1(B) ) ) ) ),
    file(neckla_3,cc2_neckla_3),
    []).

fof(cc2_necklace,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_realset1(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v2_funct_1(A)
        & v1_setfam_1(A) ) ) ),
    file(necklace,cc2_necklace),
    []).

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

fof(cc2_yellow13,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ( v3_realset2(A)
       => v6_group_1(A) ) ) ),
    file(yellow13,cc2_yellow13),
    []).

fof(cc2_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_realset2(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v3_lattice3(A) ) ) ) ),
    file(yellow_0,cc2_yellow_0),
    []).

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

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

fof(cc3_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_neckla_2,axiom,(
    ! [A] : 
      ( ( v3_ordinal1(A)
        & v1_finset_1(A) )
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A)
        & v1_xcmplx_0(A)
        & v1_card_1(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(neckla_2,cc3_neckla_2),
    []).

fof(cc3_neckla_3,axiom,(
    ! [A] : 
      ( ( v3_necklace(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_yellow_0(B,A)
         => ( v4_yellow_0(B,A)
           => ( v3_necklace(B)
              & v4_yellow_0(B,A) ) ) ) ) ),
    file(neckla_3,cc3_neckla_3),
    []).

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(cc3_yellow13,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ( ~ v3_realset2(A)
       => ~ v3_struct_0(A) ) ) ),
    file(yellow13,cc3_yellow13),
    []).

fof(cc3_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v3_lattice3(A) )
       => ( ~ v3_struct_0(A)
          & v3_yellow_0(A) ) ) ) ),
    file(yellow_0,cc3_yellow_0),
    []).

fof(cc4_funct_2,axiom,(
    ! [A,B] : 
      ( m1_relset_1(B,A,A)
     => ( ( v1_funct_1(B)
          & v1_partfun1(B,A,A)
          & v1_relat_2(B)
          & v1_funct_2(B,A,A) )
       => ( v1_funct_1(B)
          & v2_funct_1(B)
          & v1_funct_2(B,A,A)
          & v2_funct_2(B,A,A)
          & v3_funct_2(B,A,A) ) ) ) ),
    file(funct_2,cc4_funct_2),
    []).

fof(cc4_neckla_3,axiom,(
    ! [A] : 
      ( ( v1_necklace(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_yellow_0(B,A)
         => ( v4_yellow_0(B,A)
           => ( v1_necklace(B)
              & v4_yellow_0(B,A) ) ) ) ) ),
    file(neckla_3,cc4_neckla_3),
    []).

fof(cc4_orders_4,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v16_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_yellow_0(B,A)
         => ( ( ~ v3_struct_0(B)
              & v4_yellow_0(B,A) )
           => ( ~ v3_struct_0(B)
              & v16_waybel_0(B) ) ) ) ) ),
    file(orders_4,cc4_orders_4),
    []).

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(cc4_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v3_yellow_0(A)
       => ( v1_yellow_0(A)
          & v2_yellow_0(A) ) ) ) ),
    file(yellow_0,cc4_yellow_0),
    []).

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

fof(cc5_neckla_3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v1_orders_2(A)
          & v3_realset2(A) )
       => ( ~ v3_struct_0(A)
          & v1_neckla_2(A) ) ) ) ),
    file(neckla_3,cc5_neckla_3),
    []).

fof(cc5_orders_4,axiom,(
    ! [A] : 
      ( ( v6_group_1(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_yellow_0(B,A)
         => v6_group_1(B) ) ) ),
    file(orders_4,cc5_orders_4),
    []).

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(cc5_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( v1_yellow_0(A)
          & v2_yellow_0(A) )
       => v3_yellow_0(A) ) ) ),
    file(yellow_0,cc5_yellow_0),
    []).

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

fof(cc6_neckla_3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v3_struct_0(A)
       => v1_neckla_3(A) ) ) ),
    file(neckla_3,cc6_neckla_3),
    []).

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(cc6_yellow_0,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_yellow_0(B,A)
         => ( v4_yellow_0(B,A)
           => ( v2_orders_2(B)
              & v4_yellow_0(B,A) ) ) ) ) ),
    file(yellow_0,cc6_yellow_0),
    []).

fof(cc7_neckla_3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v16_waybel_0(A) )
       => ( ~ v3_struct_0(A)
          & v1_neckla_3(A) ) ) ) ),
    file(neckla_3,cc7_neckla_3),
    []).

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(cc7_yellow_0,axiom,(
    ! [A] : 
      ( ( v3_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_yellow_0(B,A)
         => ( v4_yellow_0(B,A)
           => ( v3_orders_2(B)
              & v4_yellow_0(B,A) ) ) ) ) ),
    file(yellow_0,cc7_yellow_0),
    []).

fof(cc8_neckla_3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v1_neckla_3(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v16_waybel_0(A)
          & v1_neckla_3(A) ) ) ) ),
    file(neckla_3,cc8_neckla_3),
    []).

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(cc8_yellow_0,axiom,(
    ! [A] : 
      ( ( v4_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_yellow_0(B,A)
         => ( v4_yellow_0(B,A)
           => ( v4_orders_2(B)
              & v4_yellow_0(B,A) ) ) ) ) ),
    file(yellow_0,cc8_yellow_0),
    []).

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

fof(commutativity_k2_xboole_0,axiom,(
    ! [A,B] : k2_xboole_0(A,B) = k2_xboole_0(B,A) ),
    file(xboole_0,k2_xboole_0),
    []).

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

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

fof(d10_necklace,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => k4_necklace(A) = k2_necklace(k1_necklace(A)) ) ),
    file(necklace,d10_necklace),
    []).

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

fof(d14_group_1,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ( v6_group_1(A)
      <=> v1_finset_1(u1_struct_0(A)) ) ) ),
    file(group_1,d14_group_1),
    []).

fof(d15_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
         => ! [C] : 
              ( ( v1_orders_2(C)
                & v4_yellow_0(C,A)
                & m1_yellow_0(C,A) )
             => ( C = k5_yellow_0(A,B)
              <=> u1_struct_0(C) = B ) ) ) ) ),
    file(yellow_0,d15_yellow_0),
    []).

fof(d1_neckla_2,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ( v1_neckla_2(A)
      <=> ~ r3_necklace(k4_necklace(4),A) ) ) ),
    file(neckla_2,d1_neckla_2),
    []).

fof(d1_struct_0,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ( v3_struct_0(A)
      <=> v1_xboole_0(u1_struct_0(A)) ) ) ),
    file(struct_0,d1_struct_0),
    []).

fof(d1_xboole_0,axiom,(
    ! [A] : 
      ( A = k1_xboole_0
    <=> ! [B] : ~ r2_hidden(B,A) ) ),
    file(xboole_0,d1_xboole_0),
    []).

fof(d2_classes2,axiom,(
    k13_classes2 = k1_classes1(k1_xboole_0) ),
    file(classes2,d2_classes2),
    []).

fof(d2_group_6,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ( v3_realset2(A)
      <=> ? [B] : u1_struct_0(A) = k1_tarski(B) ) ) ),
    file(group_6,d2_group_6),
    []).

fof(d2_neckla_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ! [B] : 
          ( l1_orders_2(B)
         => ! [C] : 
              ( ( v1_orders_2(C)
                & l1_orders_2(C) )
             => ( C = k1_neckla_2(A,B)
              <=> ( u1_struct_0(C) = k2_xboole_0(u1_struct_0(A),u1_struct_0(B))
                  & u1_orders_2(C) = k2_xboole_0(u1_orders_2(A),u1_orders_2(B)) ) ) ) ) ) ),
    file(neckla_2,d2_neckla_2),
    []).

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(d3_neckla_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ! [B] : 
          ( l1_orders_2(B)
         => ! [C] : 
              ( ( v1_orders_2(C)
                & l1_orders_2(C) )
             => ( C = k2_neckla_2(A,B)
              <=> ( u1_struct_0(C) = k2_xboole_0(u1_struct_0(A),u1_struct_0(B))
                  & u1_orders_2(C) = k2_xboole_0(k2_xboole_0(k2_xboole_0(u1_orders_2(A),u1_orders_2(B)),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B))),k2_zfmisc_1(u1_struct_0(B),u1_struct_0(A))) ) ) ) ) ) ),
    file(neckla_2,d3_neckla_2),
    []).

fof(d3_pre_topc,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => k2_pre_topc(A) = u1_struct_0(A) ) ),
    file(pre_topc,d3_pre_topc),
    []).

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

fof(d4_realset1,axiom,(
    ! [A] : 
      ( v1_realset1(A)
    <=> ~ ( ~ v1_xboole_0(A)
          & ! [B] : A != k1_tarski(B) ) ) ),
    file(realset1,d4_realset1),
    []).

fof(d4_xboole_0,axiom,(
    ! [A,B,C] : 
      ( C = k4_xboole_0(A,B)
    <=> ! [D] : 
          ( r2_hidden(D,C)
        <=> ( r2_hidden(D,A)
            & ~ r2_hidden(D,B) ) ) ) ),
    file(xboole_0,d4_xboole_0),
    []).

fof(d5_neckla_2,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k3_neckla_2))
     => ( A = k4_neckla_2
      <=> ( ! [B] : 
              ( ( v1_orders_2(B)
                & l1_orders_2(B) )
             => ( ( v1_realset1(u1_struct_0(B))
                  & r2_hidden(u1_struct_0(B),k13_classes2) )
               => ( v1_xboole_0(u1_struct_0(B))
                  | r2_hidden(B,A) ) ) )
          & ! [B] : 
              ( ( v1_orders_2(B)
                & l1_orders_2(B) )
             => ! [C] : 
                  ( ( v1_orders_2(C)
                    & l1_orders_2(C) )
                 => ( ( r1_xboole_0(u1_struct_0(B),u1_struct_0(C))
                      & r2_hidden(B,A)
                      & r2_hidden(C,A) )
                   => ( r2_hidden(k1_neckla_2(B,C),A)
                      & r2_hidden(k2_neckla_2(B,C),A) ) ) ) )
          & ! [B] : 
              ( m1_subset_1(B,k1_zfmisc_1(k3_neckla_2))
             => ( ( ! [C] : 
                      ( ( v1_orders_2(C)
                        & l1_orders_2(C) )
                     => ( ( v1_realset1(u1_struct_0(C))
                          & r2_hidden(u1_struct_0(C),k13_classes2) )
                       => ( v1_xboole_0(u1_struct_0(C))
                          | r2_hidden(C,B) ) ) )
                  & ! [C] : 
                      ( ( v1_orders_2(C)
                        & l1_orders_2(C) )
                     => ! [D] : 
                          ( ( v1_orders_2(D)
                            & l1_orders_2(D) )
                         => ( ( r1_xboole_0(u1_struct_0(C),u1_struct_0(D))
                              & r2_hidden(C,B)
                              & r2_hidden(D,B) )
                           => ( r2_hidden(k1_neckla_2(C,D),B)
                              & r2_hidden(k2_neckla_2(C,D),B) ) ) ) ) )
               => r1_tarski(A,B) ) ) ) ) ) ),
    file(neckla_2,d5_neckla_2),
    []).

fof(d5_realset2,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ( v3_realset2(A)
      <=> v1_realset1(u1_struct_0(A)) ) ) ),
    file(realset2,d5_realset2),
    []).

fof(d9_necklace,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ! [B] : 
          ( ( v1_orders_2(B)
            & l1_orders_2(B) )
         => ( B = k3_necklace(A)
          <=> ( u1_struct_0(B) = u1_struct_0(A)
              & u1_orders_2(B) = k6_subset_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),k3_subset_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_orders_2(A)),k6_partfun1(u1_struct_0(A))) ) ) ) ) ),
    file(necklace,d9_necklace),
    []).

fof(dt_g1_orders_2,axiom,(
    ! [A,B] : 
      ( m1_relset_1(B,A,A)
     => ( v1_orders_2(g1_orders_2(A,B))
        & l1_orders_2(g1_orders_2(A,B)) ) ) ),
    file(orders_2,g1_orders_2),
    []).

fof(dt_k13_classes2,axiom,
    ( ~ v1_xboole_0(k13_classes2)
    & v1_classes2(k13_classes2) ),
    file(classes2,k13_classes2),
    []).

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

fof(dt_k1_classes1,axiom,(
    $true ),
    file(classes1,k1_classes1),
    []).

fof(dt_k1_neckla_2,axiom,(
    ! [A,B] : 
      ( ( l1_orders_2(A)
        & l1_orders_2(B) )
     => ( v1_orders_2(k1_neckla_2(A,B))
        & l1_orders_2(k1_neckla_2(A,B)) ) ) ),
    file(neckla_2,k1_neckla_2),
    []).

fof(dt_k1_necklace,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ( v1_orders_2(k1_necklace(A))
        & l1_orders_2(k1_necklace(A)) ) ) ),
    file(necklace,k1_necklace),
    []).

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

fof(dt_k1_struct_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => m1_subset_1(k1_struct_0(A,B),k1_zfmisc_1(u1_struct_0(A))) ) ),
    file(struct_0,k1_struct_0),
    []).

fof(dt_k1_tarski,axiom,(
    $true ),
    file(tarski,k1_tarski),
    []).

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

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

fof(dt_k2_neckla_2,axiom,(
    ! [A,B] : 
      ( ( l1_orders_2(A)
        & l1_orders_2(B) )
     => ( v1_orders_2(k2_neckla_2(A,B))
        & l1_orders_2(k2_neckla_2(A,B)) ) ) ),
    file(neckla_2,k2_neckla_2),
    []).

fof(dt_k2_necklace,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v1_orders_2(k2_necklace(A))
        & l1_orders_2(k2_necklace(A)) ) ) ),
    file(necklace,k2_necklace),
    []).

fof(dt_k2_pre_topc,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => m1_subset_1(k2_pre_topc(A),k1_zfmisc_1(u1_struct_0(A))) ) ),
    file(pre_topc,k2_pre_topc),
    []).

fof(dt_k2_tarski,axiom,(
    $true ),
    file(tarski,k2_tarski),
    []).

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

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

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

fof(dt_k3_neckla_2,axiom,(
    $true ),
    file(neckla_2,k3_neckla_2),
    []).

fof(dt_k3_necklace,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v1_orders_2(k3_necklace(A))
        & l1_orders_2(k3_necklace(A)) ) ) ),
    file(necklace,k3_necklace),
    []).

fof(dt_k3_subset_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
     => m1_subset_1(k3_subset_1(A,B),k1_zfmisc_1(A)) ) ),
    file(subset_1,k3_subset_1),
    []).

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

fof(dt_k4_neckla_2,axiom,(
    m1_subset_1(k4_neckla_2,k1_zfmisc_1(k3_neckla_2)) ),
    file(neckla_2,k4_neckla_2),
    []).

fof(dt_k4_necklace,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ( v1_orders_2(k4_necklace(A))
        & l1_orders_2(k4_necklace(A)) ) ) ),
    file(necklace,k4_necklace),
    []).

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

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

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

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

fof(dt_k5_yellow_0,axiom,(
    ! [A,B] : 
      ( ( l1_orders_2(A)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ( v1_orders_2(k5_yellow_0(A,B))
        & v4_yellow_0(k5_yellow_0(A,B),A)
        & m1_yellow_0(k5_yellow_0(A,B),A) ) ) ),
    file(yellow_0,k5_yellow_0),
    []).

fof(dt_k6_partfun1,axiom,(
    ! [A] : 
      ( v1_partfun1(k6_partfun1(A),A,A)
      & m2_relset_1(k6_partfun1(A),A,A) ) ),
    file(partfun1,k6_partfun1),
    []).

fof(dt_k6_relat_1,axiom,(
    ! [A] : v1_relat_1(k6_relat_1(A)) ),
    file(relat_1,k6_relat_1),
    []).

fof(dt_k6_subset_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => m1_subset_1(k6_subset_1(A,B,C),k1_zfmisc_1(A)) ) ),
    file(subset_1,k6_subset_1),
    []).

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

fof(dt_l1_orders_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => l1_struct_0(A) ) ),
    file(orders_2,l1_orders_2),
    []).

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

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_m1_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ! [B] : 
          ( m1_yellow_0(B,A)
         => l1_orders_2(B) ) ) ),
    file(yellow_0,m1_yellow_0),
    []).

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

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

fof(dt_u1_orders_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)) ) ),
    file(orders_2,u1_orders_2),
    []).

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

fof(existence_l1_orders_2,axiom,(
    ? [A] : l1_orders_2(A) ),
    file(orders_2,l1_orders_2),
    []).

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

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_m1_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ? [B] : m1_yellow_0(B,A) ) ),
    file(yellow_0,m1_yellow_0),
    []).

fof(existence_m2_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m2_relset_1(C,A,B) ),
    file(relset_1,m2_relset_1),
    []).

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

fof(fc10_neckla_3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v1_orders_2(k3_necklace(A))
        & v3_necklace(k3_necklace(A)) ) ) ),
    file(neckla_3,fc10_neckla_3),
    []).

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_neckla_3,axiom,(
    ! [A] : 
      ( ( v1_necklace(A)
        & l1_orders_2(A) )
     => ( v1_orders_2(k3_necklace(A))
        & v1_necklace(k3_necklace(A))
        & v3_necklace(k3_necklace(A)) ) ) ),
    file(neckla_3,fc11_neckla_3),
    []).

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_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(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(fc15_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & ~ v3_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v2_xreal_0(B) )
     => ( v1_xcmplx_0(k6_xcmplx_0(A,B))
        & v1_xreal_0(k6_xcmplx_0(A,B))
        & ~ v3_xreal_0(k6_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc15_xreal_0),
    []).

fof(fc16_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & ~ v3_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v2_xreal_0(B) )
     => ( v1_xcmplx_0(k6_xcmplx_0(B,A))
        & v1_xreal_0(k6_xcmplx_0(B,A))
        & ~ v2_xreal_0(k6_xcmplx_0(B,A)) ) ) ),
    file(xreal_0,fc16_xreal_0),
    []).

fof(fc17_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v2_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v2_xreal_0(B) )
     => ( ~ v1_xboole_0(k6_xcmplx_0(A,B))
        & v1_xcmplx_0(k6_xcmplx_0(A,B))
        & v1_xreal_0(k6_xcmplx_0(A,B))
        & v2_xreal_0(k6_xcmplx_0(A,B))
        & ~ v3_xreal_0(k6_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc17_xreal_0),
    []).

fof(fc18_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v2_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v2_xreal_0(B) )
     => ( ~ v1_xboole_0(k6_xcmplx_0(B,A))
        & v1_xcmplx_0(k6_xcmplx_0(B,A))
        & v1_xreal_0(k6_xcmplx_0(B,A))
        & ~ v2_xreal_0(k6_xcmplx_0(B,A))
        & v3_xreal_0(k6_xcmplx_0(B,A)) ) ) ),
    file(xreal_0,fc18_xreal_0),
    []).

fof(fc19_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v3_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v3_xreal_0(B) )
     => ( ~ v1_xboole_0(k6_xcmplx_0(A,B))
        & v1_xcmplx_0(k6_xcmplx_0(A,B))
        & v1_xreal_0(k6_xcmplx_0(A,B))
        & ~ v2_xreal_0(k6_xcmplx_0(A,B))
        & v3_xreal_0(k6_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc19_xreal_0),
    []).

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_nat_1,axiom,(
    ! [A,B] : 
      ( ( v4_ordinal2(A)
        & v4_ordinal2(B) )
     => ( v4_ordinal2(k2_xcmplx_0(A,B))
        & v1_xcmplx_0(k2_xcmplx_0(A,B))
        & v1_xreal_0(k2_xcmplx_0(A,B)) ) ) ),
    file(nat_1,fc1_nat_1),
    []).

fof(fc1_neckla_2,axiom,(
    ~ v1_xboole_0(k3_neckla_2) ),
    file(neckla_2,fc1_neckla_2),
    []).

fof(fc1_neckla_3,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k1_neckla_2(A,B))
        & v1_orders_2(k1_neckla_2(A,B)) ) ) ),
    file(neckla_3,fc1_neckla_3),
    []).

fof(fc1_orders_2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_relset_1(B,A,A) )
     => ( ~ v3_struct_0(g1_orders_2(A,B))
        & v1_orders_2(g1_orders_2(A,B)) ) ) ),
    file(orders_2,fc1_orders_2),
    []).

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

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

fof(fc1_yellow13,axiom,(
    ! [A] : 
      ( ( v6_group_1(A)
        & l1_struct_0(A) )
     => v1_finset_1(u1_struct_0(A)) ) ),
    file(yellow13,fc1_yellow13),
    []).

fof(fc1_yellow_0,axiom,(
    ! [A,B] : 
      ( m1_relset_1(B,k1_tarski(A),k1_tarski(A))
     => ( ~ v3_struct_0(g1_orders_2(k1_tarski(A),B))
        & v1_orders_2(g1_orders_2(k1_tarski(A),B))
        & v3_realset2(g1_orders_2(k1_tarski(A),B)) ) ) ),
    file(yellow_0,fc1_yellow_0),
    []).

fof(fc20_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v3_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v3_xreal_0(B) )
     => ( ~ v1_xboole_0(k6_xcmplx_0(B,A))
        & v1_xcmplx_0(k6_xcmplx_0(B,A))
        & v1_xreal_0(k6_xcmplx_0(B,A))
        & v2_xreal_0(k6_xcmplx_0(B,A))
        & ~ v3_xreal_0(k6_xcmplx_0(B,A)) ) ) ),
    file(xreal_0,fc20_xreal_0),
    []).

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

fof(fc2_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_finset_1,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(k2_tarski(A,B))
      & v1_finset_1(k2_tarski(A,B)) ) ),
    file(finset_1,fc2_finset_1),
    []).

fof(fc2_neckla_2,axiom,(
    ~ v1_xboole_0(k4_neckla_2) ),
    file(neckla_2,fc2_neckla_2),
    []).

fof(fc2_neckla_3,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k2_neckla_2(A,B))
        & v1_orders_2(k2_neckla_2(A,B)) ) ) ),
    file(neckla_3,fc2_neckla_3),
    []).

fof(fc2_orders_2,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & l1_orders_2(A) )
     => ( v1_relat_1(u1_orders_2(A))
        & v1_relat_2(u1_orders_2(A))
        & v4_relat_2(u1_orders_2(A))
        & v8_relat_2(u1_orders_2(A))
        & v1_partfun1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)) ) ) ),
    file(orders_2,fc2_orders_2),
    []).

fof(fc2_partfun1,axiom,(
    ! [A] : 
      ( v1_relat_1(k6_relat_1(A))
      & v1_funct_1(k6_relat_1(A))
      & v1_relat_2(k6_relat_1(A))
      & v3_relat_2(k6_relat_1(A))
      & v4_relat_2(k6_relat_1(A))
      & v8_relat_2(k6_relat_1(A)) ) ),
    file(partfun1,fc2_partfun1),
    []).

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(fc2_yellow13,axiom,(
    ! [A] : 
      ( ( v3_realset2(A)
        & l1_struct_0(A) )
     => v1_realset1(u1_struct_0(A)) ) ),
    file(yellow13,fc2_yellow13),
    []).

fof(fc2_yellow_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ~ v1_xboole_0(k2_pre_topc(A)) ) ),
    file(yellow_0,fc2_yellow_0),
    []).

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

fof(fc3_neckla_3,axiom,(
    ! [A,B] : 
      ( ( l1_orders_2(A)
        & ~ v3_struct_0(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k1_neckla_2(A,B))
        & v1_orders_2(k1_neckla_2(A,B)) ) ) ),
    file(neckla_3,fc3_neckla_3),
    []).

fof(fc3_necklace,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v1_orders_2(k2_necklace(A))
        & v1_necklace(k2_necklace(A)) ) ) ),
    file(necklace,fc3_necklace),
    []).

fof(fc3_orders_2,axiom,(
    ! [A,B] : 
      ( ( v1_relat_2(B)
        & v4_relat_2(B)
        & v8_relat_2(B)
        & v1_partfun1(B,A,A)
        & m1_relset_1(B,A,A) )
     => ( v1_orders_2(g1_orders_2(A,B))
        & v2_orders_2(g1_orders_2(A,B))
        & v3_orders_2(g1_orders_2(A,B))
        & v4_orders_2(g1_orders_2(A,B)) ) ) ),
    file(orders_2,fc3_orders_2),
    []).

fof(fc3_realset1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(k1_tarski(A))
      & v1_finset_1(k1_tarski(A))
      & v1_realset1(k1_tarski(A)) ) ),
    file(realset1,fc3_realset1),
    []).

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

fof(fc4_neckla_3,axiom,(
    ! [A,B] : 
      ( ( l1_orders_2(A)
        & ~ v3_struct_0(B)
        & l1_orders_2(B) )
     => ( ~ v3_struct_0(k2_neckla_2(A,B))
        & v1_orders_2(k2_neckla_2(A,B)) ) ) ),
    file(neckla_3,fc4_neckla_3),
    []).

fof(fc4_necklace,axiom,(
    ! [A] : 
      ( ( v1_necklace(A)
        & l1_orders_2(A) )
     => ( v1_relat_1(u1_orders_2(A))
        & v3_relat_2(u1_orders_2(A))
        & v1_setfam_1(u1_orders_2(A)) ) ) ),
    file(necklace,fc4_necklace),
    []).

fof(fc5_neckla_3,axiom,(
    ! [A,B] : 
      ( ( v6_group_1(A)
        & l1_orders_2(A)
        & v6_group_1(B)
        & l1_orders_2(B) )
     => ( v1_orders_2(k1_neckla_2(A,B))
        & v6_group_1(k1_neckla_2(A,B)) ) ) ),
    file(neckla_3,fc5_neckla_3),
    []).

fof(fc5_necklace,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ( ~ v3_struct_0(k3_necklace(A))
        & v1_orders_2(k3_necklace(A)) ) ) ),
    file(necklace,fc5_necklace),
    []).

fof(fc5_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => ( v1_xcmplx_0(k6_xcmplx_0(A,B))
        & v1_xreal_0(k6_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc5_xreal_0),
    []).

fof(fc6_neckla_3,axiom,(
    ! [A,B] : 
      ( ( v6_group_1(A)
        & l1_orders_2(A)
        & v6_group_1(B)
        & l1_orders_2(B) )
     => ( v1_orders_2(k2_neckla_2(A,B))
        & v6_group_1(k2_neckla_2(A,B)) ) ) ),
    file(neckla_3,fc6_neckla_3),
    []).

fof(fc6_necklace,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ( v1_orders_2(k4_necklace(A))
        & v1_necklace(k4_necklace(A)) ) ) ),
    file(necklace,fc6_necklace),
    []).

fof(fc7_neckla_3,axiom,(
    ! [A,B] : 
      ( ( v1_necklace(A)
        & l1_orders_2(A)
        & v1_necklace(B)
        & l1_orders_2(B) )
     => ( v1_orders_2(k1_neckla_2(A,B))
        & v1_necklace(k1_neckla_2(A,B)) ) ) ),
    file(neckla_3,fc7_neckla_3),
    []).

fof(fc7_necklace,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ( v1_orders_2(k4_necklace(A))
        & v1_necklace(k4_necklace(A))
        & v3_necklace(k4_necklace(A)) ) ) ),
    file(necklace,fc7_necklace),
    []).

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_neckla_3,axiom,(
    ! [A,B] : 
      ( ( v1_necklace(A)
        & l1_orders_2(A)
        & v1_necklace(B)
        & l1_orders_2(B) )
     => ( v1_orders_2(k2_neckla_2(A,B))
        & v1_necklace(k2_neckla_2(A,B)) ) ) ),
    file(neckla_3,fc8_neckla_3),
    []).

fof(fc8_necklace,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v4_ordinal2(A) )
     => ( ~ v3_struct_0(k4_necklace(A))
        & v1_orders_2(k4_necklace(A))
        & v1_necklace(k4_necklace(A))
        & v3_necklace(k4_necklace(A)) ) ) ),
    file(necklace,fc8_necklace),
    []).

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_neckla_3,axiom,(
    ! [A,B] : 
      ( ( v3_necklace(A)
        & l1_orders_2(A)
        & v3_necklace(B)
        & l1_orders_2(B) )
     => ( v1_orders_2(k1_neckla_2(A,B))
        & v3_necklace(k1_neckla_2(A,B)) ) ) ),
    file(neckla_3,fc9_neckla_3),
    []).

fof(fc9_necklace,axiom,(
    ! [A] : 
      ( v4_ordinal2(A)
     => v1_finset_1(u1_struct_0(k4_necklace(A))) ) ),
    file(necklace,fc9_necklace),
    []).

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(free_g1_orders_2,axiom,(
    ! [A,B] : 
      ( m1_relset_1(B,A,A)
     => ! [C,D] : 
          ( g1_orders_2(A,B) = g1_orders_2(C,D)
         => ( A = C
            & B = D ) ) ) ),
    file(orders_2,g1_orders_2),
    []).

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

fof(involutiveness_k3_subset_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
     => k3_subset_1(A,k3_subset_1(A,B)) = B ) ),
    file(subset_1,k3_subset_1),
    []).

fof(irreflexivity_r1_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ~ r1_subset_1(A,A) ) ),
    file(subset_1,r1_subset_1),
    []).

fof(l36_neckla_3,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A) )
     => ! [B] : 
          ( ~ v1_xboole_0(B)
         => ! [C] : 
              ( ~ v1_xboole_0(C)
             => ( ( A = k2_xboole_0(B,C)
                  & r1_subset_1(B,C) )
               => ( r2_hidden(k1_card_1(B),k1_card_1(A))
                  & r2_hidden(k1_card_1(C),k1_card_1(A)) ) ) ) ) ) ),
    file(neckla_3,l36_neckla_3),
    []).

fof(rc1_amistd_1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A)
      & ~ v1_realset1(A) ) ),
    file(amistd_1,rc1_amistd_1),
    []).

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

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_2,axiom,(
    ! [A,B] : 
    ? [C] : 
      ( m1_relset_1(C,A,B)
      & v1_relat_1(C)
      & v1_funct_1(C)
      & v1_funct_2(C,A,B) ) ),
    file(funct_2,rc1_funct_2),
    []).

fof(rc1_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_neckla_2,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v6_group_1(A)
      & v1_neckla_2(A) ) ),
    file(neckla_2,rc1_neckla_2),
    []).

fof(rc1_neckla_3,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v1_necklace(A)
      & v3_necklace(A)
      & v6_group_1(A) ) ),
    file(neckla_3,rc1_neckla_3),
    []).

fof(rc1_necklace,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_necklace(A) ) ),
    file(necklace,rc1_necklace),
    []).

fof(rc1_orders_2,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & v1_orders_2(A) ) ),
    file(orders_2,rc1_orders_2),
    []).

fof(rc1_partfun1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_xboole_0(A) ) ),
    file(partfun1,rc1_partfun1),
    []).

fof(rc1_realset1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_realset1(A) ) ),
    file(realset1,rc1_realset1),
    []).

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(rc1_yellow_0,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v1_lattice3(A)
      & v2_lattice3(A)
      & v3_lattice3(A)
      & v3_realset2(A) ) ),
    file(yellow_0,rc1_yellow_0),
    []).

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

fof(rc2_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_2,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_relset_1(B,A,A)
      & v1_relat_1(B)
      & v1_funct_1(B)
      & v2_funct_1(B)
      & v1_funct_2(B,A,A)
      & v2_funct_2(B,A,A)
      & v3_funct_2(B,A,A) ) ),
    file(funct_2,rc2_funct_2),
    []).

fof(rc2_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_orders_2,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A) ) ),
    file(orders_2,rc2_orders_2),
    []).

fof(rc2_partfun1,axiom,(
    ! [A,B] : 
    ? [C] : 
      ( m1_relset_1(C,A,B)
      & v1_relat_1(C)
      & v1_funct_1(C) ) ),
    file(partfun1,rc2_partfun1),
    []).

fof(rc2_realset1,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & ~ v1_realset1(A) ) ),
    file(realset1,rc2_realset1),
    []).

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(rc2_yellow13,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v1_orders_2(A)
      & v6_group_1(A)
      & v3_realset2(A) ) ),
    file(yellow13,rc2_yellow13),
    []).

fof(rc2_yellow_0,axiom,(
    ? [A] : 
      ( l1_orders_2(A)
      & ~ v3_struct_0(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v1_lattice3(A)
      & v2_lattice3(A)
      & v3_lattice3(A)
      & v1_yellow_0(A)
      & v2_yellow_0(A)
      & v3_yellow_0(A) ) ),
    file(yellow_0,rc2_yellow_0),
    []).

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

fof(rc3_partfun1,axiom,(
    ! [A] : 
    ? [B] : 
      ( m1_relset_1(B,A,A)
      & v1_relat_1(B)
      & v1_relat_2(B)
      & v3_relat_2(B)
      & v4_relat_2(B)
      & v8_relat_2(B)
      & v1_partfun1(B,A,A) ) ),
    file(partfun1,rc3_partfun1),
    []).

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

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

fof(rc3_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ? [B] : 
          ( m1_yellow_0(B,A)
          & v1_orders_2(B)
          & v4_yellow_0(B,A) ) ) ),
    file(yellow_0,rc3_yellow_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_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(rc4_yellow_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ? [B] : 
          ( m1_yellow_0(B,A)
          & ~ v3_struct_0(B)
          & v1_orders_2(B)
          & v4_yellow_0(B,A) ) ) ),
    file(yellow_0,rc4_yellow_0),
    []).

fof(rc5_struct_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
          & ~ v1_xboole_0(B) ) ) ),
    file(struct_0,rc5_struct_0),
    []).

fof(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(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_k1_struct_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => k1_struct_0(A,B) = k1_tarski(B) ) ),
    file(struct_0,k1_struct_0),
    []).

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

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

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

fof(redefinition_k6_partfun1,axiom,(
    ! [A] : k6_partfun1(A) = k6_relat_1(A) ),
    file(partfun1,k6_partfun1),
    []).

fof(redefinition_k6_subset_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => k6_subset_1(A,B,C) = k4_xboole_0(B,C) ) ),
    file(subset_1,k6_subset_1),
    []).

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

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

fof(redefinition_r1_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ( r1_subset_1(A,B)
      <=> r1_xboole_0(A,B) ) ) ),
    file(subset_1,r1_subset_1),
    []).

fof(redefinition_r3_necklace,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & l1_orders_2(B) )
     => ( r3_necklace(A,B)
      <=> r2_necklace(A,B) ) ) ),
    file(necklace,r3_necklace),
    []).

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

fof(reflexivity_r1_xreal_0,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => r1_xreal_0(A,A) ) ),
    file(xreal_0,r1_xreal_0),
    []).

fof(reflexivity_r3_necklace,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A)
        & ~ v3_struct_0(B)
        & l1_orders_2(B) )
     => r3_necklace(B,B) ) ),
    file(necklace,r3_necklace),
    []).

fof(s4_nat_1__e2_62__neckla_3,axiom,
    ( ! [A] : 
        ( m2_subset_1(A,k1_numbers,k5_numbers)
       => ( ! [B] : 
              ( m2_subset_1(B,k1_numbers,k5_numbers)
             => ( ~ r1_xreal_0(A,B)
               => ! [C] : 
                    ( ( ~ v3_struct_0(C)
                      & v1_orders_2(C)
                      & v1_necklace(C)
                      & v3_necklace(C)
                      & v6_group_1(C)
                      & l1_orders_2(C) )
                   => ( ( v1_neckla_2(C)
                        & k1_card_1(u1_struct_0(C)) = B
                        & r2_hidden(u1_struct_0(C),k13_classes2) )
                     => r2_hidden(g1_orders_2(u1_struct_0(C),u1_orders_2(C)),k4_neckla_2) ) ) ) )
         => ! [D] : 
              ( ( ~ v3_struct_0(D)
                & v1_orders_2(D)
                & v1_necklace(D)
                & v3_necklace(D)
                & v6_group_1(D)
                & l1_orders_2(D) )
             => ( ( v1_neckla_2(D)
                  & k1_card_1(u1_struct_0(D)) = A
                  & r2_hidden(u1_struct_0(D),k13_classes2) )
               => r2_hidden(g1_orders_2(u1_struct_0(D),u1_orders_2(D)),k4_neckla_2) ) ) ) )
   => ! [A] : 
        ( m2_subset_1(A,k1_numbers,k5_numbers)
       => ! [E] : 
            ( ( ~ v3_struct_0(E)
              & v1_orders_2(E)
              & v1_necklace(E)
              & v3_necklace(E)
              & v6_group_1(E)
              & l1_orders_2(E) )
           => ( ( v1_neckla_2(E)
                & k1_card_1(u1_struct_0(E)) = A
                & r2_hidden(u1_struct_0(E),k13_classes2) )
             => r2_hidden(g1_orders_2(u1_struct_0(E),u1_orders_2(E)),k4_neckla_2) ) ) ) ),
    file(neckla_3,s4_nat_1__e2_62__neckla_3),
    []).

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

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

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

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

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

fof(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(symmetry_r1_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ( r1_subset_1(A,B)
       => r1_subset_1(B,A) ) ) ),
    file(subset_1,r1_subset_1),
    []).

fof(symmetry_r1_xboole_0,axiom,(
    ! [A,B] : 
      ( r1_xboole_0(A,B)
     => r1_xboole_0(B,A) ) ),
    file(xboole_0,r1_xboole_0),
    []).

fof(t10_neckla_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( l1_orders_2(B)
         => ! [C] : 
              ( l1_orders_2(C)
             => ( r1_xboole_0(u1_struct_0(B),u1_struct_0(C))
               => ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) != k1_neckla_2(B,C)
                    & g1_orders_2(u1_struct_0(A),u1_orders_2(A)) != k2_neckla_2(B,C) )
                  | ( v4_yellow_0(B,A)
                    & m1_yellow_0(B,A)
                    & v4_yellow_0(C,A)
                    & m1_yellow_0(C,A) ) ) ) ) ) ) ),
    file(neckla_3,t10_neckla_3),
    []).

fof(t16_neckla_3,axiom,(
    ! [A] : 
      ( ( v1_orders_2(A)
        & v3_necklace(A)
        & l1_orders_2(A) )
     => k3_necklace(k3_necklace(A)) = A ) ),
    file(neckla_3,t16_neckla_3),
    []).

fof(t16_yellow_6,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ! [B] : 
          ( m1_yellow_0(B,A)
         => ! [C] : 
              ( m1_yellow_0(C,B)
             => m1_yellow_0(C,A) ) ) ) ),
    file(yellow_6,t16_yellow_6),
    []).

fof(t18_neckla_3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ! [B] : 
          ( l1_orders_2(B)
         => ( r1_xboole_0(u1_struct_0(A),u1_struct_0(B))
           => k3_necklace(k2_neckla_2(A,B)) = k1_neckla_2(k3_necklace(A),k3_necklace(B)) ) ) ) ),
    file(neckla_3,t18_neckla_3),
    []).

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

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

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

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

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

fof(t20_neckla_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_necklace(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(k3_necklace(A)))
             => ( B = C
               => k3_necklace(k5_yellow_0(A,k6_subset_1(u1_struct_0(A),k2_pre_topc(A),k1_struct_0(A,B)))) = k5_yellow_0(k3_necklace(A),k6_subset_1(u1_struct_0(k3_necklace(A)),k2_pre_topc(k3_necklace(A)),k1_struct_0(k3_necklace(A),C))) ) ) ) ) ),
    file(neckla_3,t20_neckla_3),
    []).

fof(t23_neckla_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v4_yellow_0(B,A)
            & m1_yellow_0(B,A) )
         => ( v1_neckla_2(A)
           => v1_neckla_2(B) ) ) ) ),
    file(neckla_3,t23_neckla_3),
    []).

fof(t25_neckla_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v3_necklace(A)
        & l1_orders_2(A) )
     => ( v1_neckla_2(A)
      <=> v1_neckla_2(k3_necklace(A)) ) ) ),
    file(neckla_3,t25_neckla_3),
    []).

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

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

fof(t31_neckla_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v1_necklace(A)
        & v3_necklace(A)
        & l1_orders_2(A) )
     => ~ ( ~ v1_neckla_3(A)
          & ! [B] : 
              ( ( ~ v3_struct_0(B)
                & v1_orders_2(B)
                & v1_necklace(B)
                & v3_necklace(B)
                & l1_orders_2(B) )
             => ! [C] : 
                  ( ( ~ v3_struct_0(C)
                    & v1_orders_2(C)
                    & v1_necklace(C)
                    & v3_necklace(C)
                    & l1_orders_2(C) )
                 => ~ ( r1_subset_1(u1_struct_0(B),u1_struct_0(C))
                      & g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = k1_neckla_2(B,C) ) ) ) ) ) ),
    file(neckla_3,t31_neckla_3),
    []).

fof(t31_xreal_1,axiom,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ~ ( ~ r1_xreal_0(A,0)
              & r1_xreal_0(k2_xcmplx_0(B,A),B) ) ) ) ),
    file(xreal_1,t31_xreal_1),
    []).

fof(t32_neckla_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v1_necklace(A)
        & v3_necklace(A)
        & l1_orders_2(A) )
     => ~ ( ~ v1_neckla_3(k3_necklace(A))
          & ! [B] : 
              ( ( ~ v3_struct_0(B)
                & v1_orders_2(B)
                & v1_necklace(B)
                & v3_necklace(B)
                & l1_orders_2(B) )
             => ! [C] : 
                  ( ( ~ v3_struct_0(C)
                    & v1_orders_2(C)
                    & v1_necklace(C)
                    & v3_necklace(C)
                    & l1_orders_2(C) )
                 => ~ ( r1_subset_1(u1_struct_0(B),u1_struct_0(C))
                      & g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = k2_neckla_2(B,C) ) ) ) ) ) ),
    file(neckla_3,t32_neckla_3),
    []).

fof(t34_neckla_3,axiom,(
    ! [A] : 
      ( ( v1_necklace(A)
        & v3_necklace(A)
        & l1_orders_2(A) )
     => ( ( k1_card_1(u1_struct_0(A)) = 2
          & r2_hidden(u1_struct_0(A),k13_classes2) )
       => r2_hidden(g1_orders_2(u1_struct_0(A),u1_orders_2(A)),k4_neckla_2) ) ) ),
    file(neckla_3,t34_neckla_3),
    []).

fof(t39_xboole_1,axiom,(
    ! [A,B] : k2_xboole_0(A,k4_xboole_0(B,A)) = k2_xboole_0(A,B) ),
    file(xboole_1,t39_xboole_1),
    []).

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

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

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

fof(t40_neckla_3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v1_necklace(A)
        & v3_necklace(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( ( ~ v3_struct_0(C)
                & l1_orders_2(C) )
             => ! [D] : 
                  ( ( ~ v3_struct_0(D)
                    & l1_orders_2(D) )
                 => ( ( r1_subset_1(u1_struct_0(C),u1_struct_0(D))
                      & k5_yellow_0(A,k6_subset_1(u1_struct_0(A),k2_pre_topc(A),k1_struct_0(A,B))) = k1_neckla_2(C,D)
                      & v1_neckla_3(A)
                      & v1_neckla_3(k3_necklace(A)) )
                   => ( v3_realset2(A)
                      | r3_necklace(k4_necklace(4),A) ) ) ) ) ) ) ),
    file(neckla_3,t40_neckla_3),
    []).

fof(t41_enumset1,axiom,(
    ! [A,B] : k2_tarski(A,B) = k2_xboole_0(k1_tarski(A),k1_tarski(B)) ),
    file(enumset1,t41_enumset1),
    []).

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

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

fof(t4_card_4,axiom,(
    ! [A] : 
      ( v1_finset_1(A)
    <=> ? [B] : 
          ( m2_subset_1(B,k1_numbers,k5_numbers)
          & k1_card_1(A) = k1_card_1(B) ) ) ),
    file(card_4,t4_card_4),
    []).

fof(t4_neckla_2,axiom,(
    ! [A] : 
      ( r2_hidden(A,k4_neckla_2)
     => ( ~ v3_struct_0(A)
        & v1_orders_2(A)
        & v6_group_1(A)
        & l1_orders_2(A) ) ) ),
    file(neckla_2,t4_neckla_2),
    []).

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

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

fof(t58_card_2,axiom,(
    ! [A] : 
      ( v1_finset_1(A)
     => ! [B] : 
          ( v1_finset_1(B)
         => ( r2_hidden(k1_card_1(A),k1_card_1(B))
          <=> ~ r1_xreal_0(k4_card_1(B),k4_card_1(A)) ) ) ) ),
    file(card_2,t58_card_2),
    []).

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

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

fof(t60_card_2,axiom,(
    ! [A] : 
      ( k1_card_1(A) = 1
    <=> ? [B] : A = k1_tarski(B) ) ),
    file(card_2,t60_card_2),
    []).

fof(t63_card_2,axiom,(
    ! [A] : 
      ( v1_finset_1(A)
     => ! [B] : 
          ( v1_finset_1(B)
         => ( r1_tarski(B,A)
           => k4_card_1(k4_xboole_0(A,B)) = k5_real_1(k4_card_1(A),k4_card_1(B)) ) ) ) ),
    file(card_2,t63_card_2),
    []).

fof(t66_card_1,axiom,(
    ! [A] : 
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => A = k1_card_1(A) ) ),
    file(card_1,t66_card_1),
    []).

fof(t66_zfmisc_1,axiom,(
    ! [A,B] : ~ ( k4_xboole_0(A,k1_tarski(B)) = k1_xboole_0
      & A != k1_xboole_0
      & A != k1_tarski(B) ) ),
    file(zfmisc_1,t66_zfmisc_1),
    []).

fof(t68_card_2,axiom,(
    ! [A,B] : 
      ( v1_finset_1(B)
     => ( ( ~ r1_tarski(k1_card_1(A),k1_card_1(B))
          & ~ r2_hidden(k1_card_1(A),k1_card_1(B)) )
        | v1_finset_1(A) ) ) ),
    file(card_2,t68_card_2),
    []).

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

fof(t6_classes1,axiom,(
    ! [A,B,C] : 
      ( ( r2_hidden(A,k1_classes1(B))
        & r1_tarski(C,A) )
     => r2_hidden(C,k1_classes1(B)) ) ),
    file(classes1,t6_classes1),
    []).

fof(t6_neckla_2,axiom,(
    ! [A] : ~ ( r2_hidden(A,k4_neckla_2)
      & ~ ( ~ v3_struct_0(A)
          & v1_orders_2(A)
          & v3_realset2(A)
          & l1_orders_2(A) )
      & ! [B] : 
          ( ( v1_orders_2(B)
            & l1_orders_2(B) )
         => ! [C] : 
              ( ( v1_orders_2(C)
                & l1_orders_2(C) )
             => ~ ( r1_xboole_0(u1_struct_0(B),u1_struct_0(C))
                  & r2_hidden(B,k4_neckla_2)
                  & r2_hidden(C,k4_neckla_2)
                  & ( A = k1_neckla_2(B,C)
                    | A = k2_neckla_2(B,C) ) ) ) ) ) ),
    file(neckla_2,t6_neckla_2),
    []).

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

fof(t76_card_2,axiom,(
    ! [A,B] : 
      ( A != B
     => k4_card_1(k2_tarski(A,B)) = 2 ) ),
    file(card_2,t76_card_2),
    []).

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

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

fof(t7_xboole_1,axiom,(
    ! [A,B] : r1_tarski(A,k2_xboole_0(A,B)) ),
    file(xboole_1,t7_xboole_1),
    []).

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

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