% Mizar ND problem: t10_binari_4,binari_4,253,60 
fof(dh_c1_10__binari_4,definition,
    ( ( ( ~ v1_xboole_0(c1_10__binari_4)
        & m2_subset_1(c1_10__binari_4,k1_numbers,k5_numbers) )
     => ! [A] : 
          ( m2_subset_1(A,k1_numbers,k5_numbers)
         => ! [B] : 
              ( m2_subset_1(B,k1_numbers,k5_numbers)
             => ( r1_xreal_0(k1_nat_1(A,B),k5_real_1(k3_series_1(2,c1_10__binari_4),1))
               => k11_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,A),k1_binari_3(c1_10__binari_4,B)) = k7_margrel1 ) ) ) )
   => ! [C] : 
        ( ( ~ v1_xboole_0(C)
          & m2_subset_1(C,k1_numbers,k5_numbers) )
       => ! [D] : 
            ( m2_subset_1(D,k1_numbers,k5_numbers)
           => ! [E] : 
                ( m2_subset_1(E,k1_numbers,k5_numbers)
               => ( r1_xreal_0(k1_nat_1(D,E),k5_real_1(k3_series_1(2,C),1))
                 => k11_binarith(C,k1_binari_3(C,D),k1_binari_3(C,E)) = k7_margrel1 ) ) ) ) ),
    introduced(definition,[new_symbol(c1_10__binari_4),file(binari_4,c1_10__binari_4)]),
    [interesting(0.8),axiom,file(binari_4,c1_10__binari_4)]).

fof(dh_c2_10__binari_4,definition,
    ( ( m2_subset_1(c2_10__binari_4,k1_numbers,k5_numbers)
     => ! [A] : 
          ( m2_subset_1(A,k1_numbers,k5_numbers)
         => ( r1_xreal_0(k1_nat_1(c2_10__binari_4,A),k5_real_1(k3_series_1(2,c1_10__binari_4),1))
           => k11_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,c2_10__binari_4),k1_binari_3(c1_10__binari_4,A)) = k7_margrel1 ) ) )
   => ! [B] : 
        ( m2_subset_1(B,k1_numbers,k5_numbers)
       => ! [C] : 
            ( m2_subset_1(C,k1_numbers,k5_numbers)
           => ( r1_xreal_0(k1_nat_1(B,C),k5_real_1(k3_series_1(2,c1_10__binari_4),1))
             => k11_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,B),k1_binari_3(c1_10__binari_4,C)) = k7_margrel1 ) ) ) ),
    introduced(definition,[new_symbol(c2_10__binari_4),file(binari_4,c2_10__binari_4)]),
    [interesting(0.8),axiom,file(binari_4,c2_10__binari_4)]).

fof(dh_c3_10__binari_4,definition,
    ( ( m2_subset_1(c3_10__binari_4,k1_numbers,k5_numbers)
     => ( r1_xreal_0(k1_nat_1(c2_10__binari_4,c3_10__binari_4),k5_real_1(k3_series_1(2,c1_10__binari_4),1))
       => k11_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,c2_10__binari_4),k1_binari_3(c1_10__binari_4,c3_10__binari_4)) = k7_margrel1 ) )
   => ! [A] : 
        ( m2_subset_1(A,k1_numbers,k5_numbers)
       => ( r1_xreal_0(k1_nat_1(c2_10__binari_4,A),k5_real_1(k3_series_1(2,c1_10__binari_4),1))
         => k11_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,c2_10__binari_4),k1_binari_3(c1_10__binari_4,A)) = k7_margrel1 ) ) ),
    introduced(definition,[new_symbol(c3_10__binari_4),file(binari_4,c3_10__binari_4)]),
    [interesting(0.8),axiom,file(binari_4,c3_10__binari_4)]).

fof(e1_10__binari_4,assumption,(
    r1_xreal_0(k1_nat_1(c2_10__binari_4,c3_10__binari_4),k5_real_1(k3_series_1(2,c1_10__binari_4),1)) ),
    introduced(assumption,[file(binari_4,e1_10__binari_4)]),
    [interesting(0.8),axiom,file(binari_4,e1_10__binari_4)]).

fof(e2_10__binari_4,assumption,(
    k11_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,c2_10__binari_4),k1_binari_3(c1_10__binari_4,c3_10__binari_4)) != k7_margrel1 ),
    introduced(assumption,[file(binari_4,e2_10__binari_4)]),
    [interesting(0.8),axiom,file(binari_4,e2_10__binari_4)]).

fof(existence_m1_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m1_relset_1(C,A,B) ),
    file(relset_1,m1_relset_1),
    [interesting(0.9),axiom,file(relset_1,m1_relset_1)]).

fof(dt_k2_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k2_zfmisc_1),
    [interesting(0.9),axiom,file(zfmisc_1,k2_zfmisc_1)]).

fof(dt_m1_relset_1,axiom,(
    $true ),
    file(relset_1,m1_relset_1),
    [interesting(0.9),axiom,file(relset_1,m1_relset_1)]).

fof(cc1_relset_1,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(relset_1,cc1_relset_1)]).

fof(reflexivity_r1_tarski,theorem,(
    ! [A,B] : r1_tarski(A,A) ),
    file(tarski,r1_tarski),
    [interesting(0.9),axiom,file(tarski,r1_tarski)]).

fof(existence_m1_finseq_1,axiom,(
    ! [A] : 
    ? [B] : m1_finseq_1(B,A) ),
    file(finseq_1,m1_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,m1_finseq_1)]).

fof(existence_m2_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m2_relset_1(C,A,B) ),
    file(relset_1,m2_relset_1),
    [interesting(0.9),axiom,file(relset_1,m2_relset_1)]).

fof(redefinition_m2_relset_1,definition,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
    <=> m1_relset_1(C,A,B) ) ),
    file(relset_1,m2_relset_1),
    [interesting(0.9),axiom,file(relset_1,m2_relset_1)]).

fof(dt_m1_finseq_1,axiom,(
    ! [A,B] : 
      ( m1_finseq_1(B,A)
     => ( v1_relat_1(B)
        & v1_funct_1(B)
        & v1_finseq_1(B) ) ) ),
    file(finseq_1,m1_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,m1_finseq_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),
    [interesting(0.9),axiom,file(relset_1,m2_relset_1)]).

fof(rc1_margrel1,theorem,(
    ? [A] : v1_margrel1(A) ),
    file(margrel1,rc1_margrel1),
    [interesting(0.9),axiom,file(margrel1,rc1_margrel1)]).

fof(antisymmetry_r2_hidden,theorem,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => ~ r2_hidden(B,A) ) ),
    file(hidden,r2_hidden),
    [interesting(0.9),axiom,file(hidden,r2_hidden)]).

fof(existence_m1_finseq_2,axiom,(
    ! [A] : 
    ? [B] : m1_finseq_2(B,A) ),
    file(finseq_2,m1_finseq_2),
    [interesting(0.9),axiom,file(finseq_2,m1_finseq_2)]).

fof(existence_m2_finseq_1,axiom,(
    ! [A] : 
    ? [B] : m2_finseq_1(B,A) ),
    file(finseq_1,m2_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,m2_finseq_1)]).

fof(redefinition_m2_finseq_1,definition,(
    ! [A,B] : 
      ( m2_finseq_1(B,A)
    <=> m1_finseq_1(B,A) ) ),
    file(finseq_1,m2_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,m2_finseq_1)]).

fof(dt_k1_xboole_0,axiom,(
    $true ),
    file(xboole_0,k1_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k1_xboole_0)]).

fof(dt_k1_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k1_zfmisc_1),
    [interesting(0.9),axiom,file(zfmisc_1,k1_zfmisc_1)]).

fof(dt_k5_ordinal2,axiom,(
    $true ),
    file(ordinal2,k5_ordinal2),
    [interesting(0.9),axiom,file(ordinal2,k5_ordinal2)]).

fof(dt_m1_finseq_2,axiom,(
    $true ),
    file(finseq_2,m1_finseq_2),
    [interesting(0.9),axiom,file(finseq_2,m1_finseq_2)]).

fof(dt_m2_finseq_1,axiom,(
    ! [A,B] : 
      ( m2_finseq_1(B,A)
     => ( v1_funct_1(B)
        & v1_finseq_1(B)
        & m2_relset_1(B,k5_numbers,A) ) ) ),
    file(finseq_1,m2_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,m2_finseq_1)]).

fof(cc12_membered,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(membered,cc12_membered)]).

fof(cc13_membered,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(membered,cc13_membered)]).

fof(cc14_membered,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(membered,cc14_membered)]).

fof(cc16_membered,theorem,(
    ! [A] : 
      ( v1_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => v1_membered(B) ) ) ),
    file(membered,cc16_membered),
    [interesting(0.9),axiom,file(membered,cc16_membered)]).

fof(cc17_membered,theorem,(
    ! [A] : 
      ( v2_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_membered(B)
            & v2_membered(B) ) ) ) ),
    file(membered,cc17_membered),
    [interesting(0.9),axiom,file(membered,cc17_membered)]).

fof(cc18_membered,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(membered,cc18_membered)]).

fof(cc19_membered,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(membered,cc19_membered)]).

fof(cc1_membered,theorem,(
    ! [A] : 
      ( v5_membered(A)
     => v4_membered(A) ) ),
    file(membered,cc1_membered),
    [interesting(0.9),axiom,file(membered,cc1_membered)]).

fof(cc1_xreal_0,theorem,(
    ! [A] : 
      ( v4_ordinal2(A)
     => v1_xreal_0(A) ) ),
    file(xreal_0,cc1_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc1_xreal_0)]).

fof(cc20_membered,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(membered,cc20_membered)]).

fof(cc2_membered,theorem,(
    ! [A] : 
      ( v4_membered(A)
     => v3_membered(A) ) ),
    file(membered,cc2_membered),
    [interesting(0.9),axiom,file(membered,cc2_membered)]).

fof(cc3_int_1,theorem,(
    ! [A] : 
      ( v4_ordinal2(A)
     => v1_int_1(A) ) ),
    file(int_1,cc3_int_1),
    [interesting(0.9),axiom,file(int_1,cc3_int_1)]).

fof(cc3_membered,theorem,(
    ! [A] : 
      ( v3_membered(A)
     => v2_membered(A) ) ),
    file(membered,cc3_membered),
    [interesting(0.9),axiom,file(membered,cc3_membered)]).

fof(cc3_nat_1,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(nat_1,cc3_nat_1)]).

fof(cc4_int_1,theorem,(
    ! [A] : 
      ( v1_int_1(A)
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A) ) ) ),
    file(int_1,cc4_int_1),
    [interesting(0.9),axiom,file(int_1,cc4_int_1)]).

fof(cc4_xreal_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(xreal_0,cc4_xreal_0)]).

fof(cc5_xreal_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(xreal_0,cc5_xreal_0)]).

fof(cc6_membered,theorem,(
    ! [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k1_numbers))
     => ( v1_membered(A)
        & v2_membered(A) ) ) ),
    file(membered,cc6_membered),
    [interesting(0.9),axiom,file(membered,cc6_membered)]).

fof(cc8_xreal_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(xreal_0,cc8_xreal_0)]).

fof(cc9_membered,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(membered,cc9_membered)]).

fof(fc10_xreal_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(xreal_0,fc10_xreal_0)]).

fof(fc11_xreal_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(xreal_0,fc11_xreal_0)]).

fof(fc12_xreal_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(xreal_0,fc12_xreal_0)]).

fof(fc14_xreal_0,theorem,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & ~ v3_xreal_0(A) )
     => ( v1_xcmplx_0(k4_xcmplx_0(A))
        & v1_xreal_0(k4_xcmplx_0(A))
        & ~ v2_xreal_0(k4_xcmplx_0(A)) ) ) ),
    file(xreal_0,fc14_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc14_xreal_0)]).

fof(fc15_xreal_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(xreal_0,fc15_xreal_0)]).

fof(fc16_xreal_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(xreal_0,fc16_xreal_0)]).

fof(fc19_xreal_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(xreal_0,fc19_xreal_0)]).

fof(fc1_int_1,theorem,(
    ! [A,B] : 
      ( ( v1_int_1(A)
        & v1_int_1(B) )
     => ( v1_xcmplx_0(k2_xcmplx_0(A,B))
        & v1_xreal_0(k2_xcmplx_0(A,B))
        & v1_int_1(k2_xcmplx_0(A,B)) ) ) ),
    file(int_1,fc1_int_1),
    [interesting(0.9),axiom,file(int_1,fc1_int_1)]).

fof(fc1_margrel1,theorem,
    ( v1_xboole_0(k1_xboole_0)
    & v1_margrel1(k1_xboole_0) ),
    file(margrel1,fc1_margrel1),
    [interesting(0.9),axiom,file(margrel1,fc1_margrel1)]).

fof(fc1_nat_1,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(nat_1,fc1_nat_1)]).

fof(fc20_xreal_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(xreal_0,fc20_xreal_0)]).

fof(fc27_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & ~ v3_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v2_xreal_0(B) )
     => ( v1_xcmplx_0(k7_xcmplx_0(A,B))
        & v1_xreal_0(k7_xcmplx_0(A,B))
        & ~ v2_xreal_0(k7_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc27_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc27_xreal_0)]).

fof(fc28_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & ~ v3_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v2_xreal_0(B) )
     => ( v1_xcmplx_0(k7_xcmplx_0(B,A))
        & v1_xreal_0(k7_xcmplx_0(B,A))
        & ~ v2_xreal_0(k7_xcmplx_0(B,A)) ) ) ),
    file(xreal_0,fc28_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc28_xreal_0)]).

fof(fc29_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & ~ v3_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v3_xreal_0(B) )
     => ( v1_xcmplx_0(k7_xcmplx_0(A,B))
        & v1_xreal_0(k7_xcmplx_0(A,B))
        & ~ v3_xreal_0(k7_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc29_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc29_xreal_0)]).

fof(fc3_int_1,theorem,(
    ! [A] : 
      ( v1_int_1(A)
     => ( v1_xcmplx_0(k4_xcmplx_0(A))
        & v1_xreal_0(k4_xcmplx_0(A))
        & v1_int_1(k4_xcmplx_0(A)) ) ) ),
    file(int_1,fc3_int_1),
    [interesting(0.9),axiom,file(int_1,fc3_int_1)]).

fof(fc3_nat_1,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(nat_1,fc3_nat_1)]).

fof(fc4_int_1,theorem,(
    ! [A,B] : 
      ( ( v1_int_1(A)
        & v1_int_1(B) )
     => ( v1_xcmplx_0(k6_xcmplx_0(A,B))
        & v1_xreal_0(k6_xcmplx_0(A,B))
        & v1_int_1(k6_xcmplx_0(A,B)) ) ) ),
    file(int_1,fc4_int_1),
    [interesting(0.9),axiom,file(int_1,fc4_int_1)]).

fof(fc4_nat_1,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(nat_1,fc4_nat_1)]).

fof(fc5_membered,theorem,
    ( v1_membered(k5_ordinal2)
    & v2_membered(k5_ordinal2)
    & v3_membered(k5_ordinal2)
    & v4_membered(k5_ordinal2)
    & v5_membered(k5_ordinal2) ),
    file(membered,fc5_membered),
    [interesting(0.9),axiom,file(membered,fc5_membered)]).

fof(fc6_int_1,theorem,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & v1_int_1(B) )
     => ( v1_xcmplx_0(k2_xcmplx_0(B,A))
        & v1_xreal_0(k2_xcmplx_0(B,A))
        & v1_int_1(k2_xcmplx_0(B,A)) ) ) ),
    file(int_1,fc6_int_1),
    [interesting(0.9),axiom,file(int_1,fc6_int_1)]).

fof(fc6_membered,theorem,
    ( 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),
    [interesting(0.9),axiom,file(membered,fc6_membered)]).

fof(fc7_xreal_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(xreal_0,fc7_xreal_0)]).

fof(fc8_int_1,theorem,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & v1_int_1(B) )
     => ( v1_xcmplx_0(k6_xcmplx_0(B,A))
        & v1_xreal_0(k6_xcmplx_0(B,A))
        & v1_int_1(k6_xcmplx_0(B,A)) ) ) ),
    file(int_1,fc8_int_1),
    [interesting(0.9),axiom,file(int_1,fc8_int_1)]).

fof(fc9_xreal_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(xreal_0,fc9_xreal_0)]).

fof(rc1_int_1,theorem,(
    ? [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),
    [interesting(0.9),axiom,file(int_1,rc1_int_1)]).

fof(rc1_membered,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_membered(A)
      & v2_membered(A)
      & v3_membered(A)
      & v4_membered(A)
      & v5_membered(A) ) ),
    file(membered,rc1_membered),
    [interesting(0.9),axiom,file(membered,rc1_membered)]).

fof(rc1_nat_1,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v4_ordinal2(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A) ) ),
    file(nat_1,rc1_nat_1),
    [interesting(0.9),axiom,file(nat_1,rc1_nat_1)]).

fof(rc2_int_1,theorem,(
    ? [A] : v1_int_1(A) ),
    file(int_1,rc2_int_1),
    [interesting(0.9),axiom,file(int_1,rc2_int_1)]).

fof(rc2_margrel1,theorem,(
    ? [A] : v2_margrel1(A) ),
    file(margrel1,rc2_margrel1),
    [interesting(0.9),axiom,file(margrel1,rc2_margrel1)]).

fof(rc2_nat_1,theorem,(
    ? [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k1_numbers))
      & ~ v1_xboole_0(A)
      & v3_ordinal1(A) ) ),
    file(nat_1,rc2_nat_1),
    [interesting(0.9),axiom,file(nat_1,rc2_nat_1)]).

fof(rc2_xreal_0,theorem,(
    ? [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),
    [interesting(0.9),axiom,file(xreal_0,rc2_xreal_0)]).

fof(rc3_nat_1,theorem,(
    ? [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),
    [interesting(0.9),axiom,file(nat_1,rc3_nat_1)]).

fof(rc3_xreal_0,theorem,(
    ? [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),
    [interesting(0.9),axiom,file(xreal_0,rc3_xreal_0)]).

fof(rc4_xreal_0,theorem,(
    ? [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),
    [interesting(0.9),axiom,file(xreal_0,rc4_xreal_0)]).

fof(t1_subset,theorem,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => m1_subset_1(A,B) ) ),
    file(subset,t1_subset),
    [interesting(0.9),axiom,file(subset,t1_subset)]).

fof(t2_real,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(real,t2_real)]).

fof(t3_real,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(real,t3_real)]).

fof(t3_subset,theorem,(
    ! [A,B] : 
      ( m1_subset_1(A,k1_zfmisc_1(B))
    <=> r1_tarski(A,B) ) ),
    file(subset,t3_subset),
    [interesting(0.9),axiom,file(subset,t3_subset)]).

fof(t4_subset,theorem,(
    ! [A,B,C] : 
      ( ( r2_hidden(A,B)
        & m1_subset_1(B,k1_zfmisc_1(C)) )
     => m1_subset_1(A,C) ) ),
    file(subset,t4_subset),
    [interesting(0.9),axiom,file(subset,t4_subset)]).

fof(t5_real,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(real,t5_real)]).

fof(t5_subset,theorem,(
    ! [A,B,C] : 
      ~ ( r2_hidden(A,B)
        & m1_subset_1(B,k1_zfmisc_1(C))
        & v1_xboole_0(C) ) ),
    file(subset,t5_subset),
    [interesting(0.9),axiom,file(subset,t5_subset)]).

fof(t6_real,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(real,t6_real)]).

fof(t7_real,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(real,t7_real)]).

fof(t8_real,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(real,t8_real)]).

fof(commutativity_k2_xcmplx_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(xcmplx_0,k2_xcmplx_0)]).

fof(existence_m1_subset_1,axiom,(
    ! [A] : 
    ? [B] : m1_subset_1(B,A) ),
    file(subset_1,m1_subset_1),
    [interesting(0.9),axiom,file(subset_1,m1_subset_1)]).

fof(existence_m2_finseq_2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & m1_finseq_2(B,A) )
     => ? [C] : m2_finseq_2(C,A,B) ) ),
    file(finseq_2,m2_finseq_2),
    [interesting(0.9),axiom,file(finseq_2,m2_finseq_2)]).

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),
    [interesting(0.9),axiom,file(subset_1,m2_subset_1)]).

fof(redefinition_k5_numbers,definition,(
    k5_numbers = k5_ordinal2 ),
    file(numbers,k5_numbers),
    [interesting(0.9),axiom,file(numbers,k5_numbers)]).

fof(redefinition_m2_finseq_2,definition,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & m1_finseq_2(B,A) )
     => ! [C] : 
          ( m2_finseq_2(C,A,B)
        <=> m1_subset_1(C,B) ) ) ),
    file(finseq_2,m2_finseq_2),
    [interesting(0.9),axiom,file(finseq_2,m2_finseq_2)]).

fof(redefinition_m2_subset_1,definition,(
    ! [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),
    [interesting(0.9),axiom,file(subset_1,m2_subset_1)]).

fof(dt_k1_cqc_lang,axiom,(
    $true ),
    file(cqc_lang,k1_cqc_lang),
    [interesting(0.9),axiom,file(cqc_lang,k1_cqc_lang)]).

fof(dt_k2_xcmplx_0,axiom,(
    $true ),
    file(xcmplx_0,k2_xcmplx_0),
    [interesting(0.9),axiom,file(xcmplx_0,k2_xcmplx_0)]).

fof(dt_k3_power,axiom,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => v1_xreal_0(k3_power(A,B)) ) ),
    file(power,k3_power),
    [interesting(0.9),axiom,file(power,k3_power)]).

fof(dt_k4_finseq_2,axiom,(
    ! [A,B] : 
      ( v4_ordinal2(A)
     => m1_finseq_2(k4_finseq_2(A,B),B) ) ),
    file(finseq_2,k4_finseq_2),
    [interesting(0.9),axiom,file(finseq_2,k4_finseq_2)]).

fof(dt_k5_numbers,axiom,(
    m1_subset_1(k5_numbers,k1_zfmisc_1(k1_numbers)) ),
    file(numbers,k5_numbers),
    [interesting(0.9),axiom,file(numbers,k5_numbers)]).

fof(dt_k6_margrel1,axiom,(
    $true ),
    file(margrel1,k6_margrel1),
    [interesting(0.9),axiom,file(margrel1,k6_margrel1)]).

fof(dt_m1_subset_1,axiom,(
    $true ),
    file(subset_1,m1_subset_1),
    [interesting(0.9),axiom,file(subset_1,m1_subset_1)]).

fof(dt_m2_finseq_2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(B)
        & m1_finseq_2(B,A) )
     => ! [C] : 
          ( m2_finseq_2(C,A,B)
         => m2_finseq_1(C,A) ) ) ),
    file(finseq_2,m2_finseq_2),
    [interesting(0.9),axiom,file(finseq_2,m2_finseq_2)]).

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),
    [interesting(0.9),axiom,file(subset_1,m2_subset_1)]).

fof(cc10_membered,theorem,(
    ! [A] : 
      ( v1_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => v1_xcmplx_0(B) ) ) ),
    file(membered,cc10_membered),
    [interesting(0.9),axiom,file(membered,cc10_membered)]).

fof(cc11_membered,theorem,(
    ! [A] : 
      ( v2_membered(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_xcmplx_0(B)
            & v1_xreal_0(B) ) ) ) ),
    file(membered,cc11_membered),
    [interesting(0.9),axiom,file(membered,cc11_membered)]).

fof(cc15_membered,theorem,(
    ! [A] : 
      ( v1_xboole_0(A)
     => ( v1_membered(A)
        & v2_membered(A)
        & v3_membered(A)
        & v4_membered(A)
        & v5_membered(A) ) ) ),
    file(membered,cc15_membered),
    [interesting(0.9),axiom,file(membered,cc15_membered)]).

fof(cc1_margrel1,theorem,(
    ! [A] : 
      ( m1_subset_1(A,k6_margrel1)
     => v2_margrel1(A) ) ),
    file(margrel1,cc1_margrel1),
    [interesting(0.9),axiom,file(margrel1,cc1_margrel1)]).

fof(cc1_nat_1,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(nat_1,cc1_nat_1)]).

fof(cc2_int_1,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(int_1,cc2_int_1)]).

fof(cc2_nat_1,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(nat_1,cc2_nat_1)]).

fof(cc3_xreal_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(xreal_0,cc3_xreal_0)]).

fof(cc4_membered,theorem,(
    ! [A] : 
      ( v2_membered(A)
     => v1_membered(A) ) ),
    file(membered,cc4_membered),
    [interesting(0.9),axiom,file(membered,cc4_membered)]).

fof(cc6_xreal_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(xreal_0,cc6_xreal_0)]).

fof(cc7_xreal_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(xreal_0,cc7_xreal_0)]).

fof(fc13_xreal_0,theorem,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & ~ v2_xreal_0(A) )
     => ( v1_xcmplx_0(k4_xcmplx_0(A))
        & v1_xreal_0(k4_xcmplx_0(A))
        & ~ v3_xreal_0(k4_xcmplx_0(A)) ) ) ),
    file(xreal_0,fc13_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc13_xreal_0)]).

fof(fc17_xreal_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(xreal_0,fc17_xreal_0)]).

fof(fc18_xreal_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(xreal_0,fc18_xreal_0)]).

fof(fc30_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & ~ v2_xreal_0(A)
        & v1_xreal_0(B)
        & ~ v2_xreal_0(B) )
     => ( v1_xcmplx_0(k7_xcmplx_0(A,B))
        & v1_xreal_0(k7_xcmplx_0(A,B))
        & ~ v3_xreal_0(k7_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc30_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc30_xreal_0)]).

fof(fc3_margrel1,theorem,(
    ~ v1_xboole_0(k6_margrel1) ),
    file(margrel1,fc3_margrel1),
    [interesting(0.9),axiom,file(margrel1,fc3_margrel1)]).

fof(fc3_xreal_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(xreal_0,fc3_xreal_0)]).

fof(fc5_int_1,theorem,(
    ! [A] : 
      ( m1_subset_1(A,k5_numbers)
     => ( v1_xcmplx_0(k4_xcmplx_0(A))
        & v1_xreal_0(k4_xcmplx_0(A))
        & ~ v2_xreal_0(k4_xcmplx_0(A))
        & v1_int_1(k4_xcmplx_0(A)) ) ) ),
    file(int_1,fc5_int_1),
    [interesting(0.9),axiom,file(int_1,fc5_int_1)]).

fof(fc8_xreal_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(xreal_0,fc8_xreal_0)]).

fof(fc9_int_1,theorem,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => ( v1_xcmplx_0(k6_xcmplx_0(A,B))
        & v1_xreal_0(k6_xcmplx_0(A,B))
        & v1_int_1(k6_xcmplx_0(A,B)) ) ) ),
    file(int_1,fc9_int_1),
    [interesting(0.9),axiom,file(int_1,fc9_int_1)]).

fof(rc1_xreal_0,theorem,(
    ? [A] : 
      ( v1_xcmplx_0(A)
      & v1_xreal_0(A) ) ),
    file(xreal_0,rc1_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,rc1_xreal_0)]).

fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0,theorem,(
    k2_xcmplx_0(0,0) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_r0_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_r0_r0)]).

fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1,theorem,(
    k2_xcmplx_0(0,1) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_r1_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_r1_r1)]).

fof(rqRealAdd__k2_xcmplx_0__r0_r2_r2,theorem,(
    k2_xcmplx_0(0,2) = 2 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_r2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_r2_r2)]).

fof(rqRealAdd__k2_xcmplx_0__r0_r3_r3,theorem,(
    k2_xcmplx_0(0,3) = 3 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_r3_r3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_r3_r3)]).

fof(rqRealAdd__k2_xcmplx_0__r0_rm1_rm1,theorem,(
    k2_xcmplx_0(0,k4_xcmplx_0(1)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_rm1_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_rm1_rm1)]).

fof(rqRealAdd__k2_xcmplx_0__r0_rm2_rm2,theorem,(
    k2_xcmplx_0(0,k4_xcmplx_0(2)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_rm2_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_rm2_rm2)]).

fof(rqRealAdd__k2_xcmplx_0__r0_rm3_rm3,theorem,(
    k2_xcmplx_0(0,k4_xcmplx_0(3)) = k4_xcmplx_0(3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_rm3_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_rm3_rm3)]).

fof(rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2,theorem,(
    k2_xcmplx_0(0,k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2)]).

fof(rqRealAdd__k2_xcmplx_0__r0_rn2d3_rn2d3,theorem,(
    k2_xcmplx_0(0,k7_xcmplx_0(2,3)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_rn2d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_rn2d3_rn2d3)]).

fof(rqRealAdd__k2_xcmplx_0__r0_rn3d2_rn3d2,theorem,(
    k2_xcmplx_0(0,k7_xcmplx_0(3,2)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_rn3d2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_rn3d2_rn3d2)]).

fof(rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2,theorem,(
    k2_xcmplx_0(0,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2)]).

fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1,theorem,(
    k2_xcmplx_0(1,0) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_r0_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_r0_r1)]).

fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2,theorem,(
    k2_xcmplx_0(1,1) = 2 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_r1_r2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_r1_r2)]).

fof(rqRealAdd__k2_xcmplx_0__r1_r2_r3,theorem,(
    k2_xcmplx_0(1,2) = 3 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_r2_r3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_r2_r3)]).

fof(rqRealAdd__k2_xcmplx_0__r1_rm1_r0,theorem,(
    k2_xcmplx_0(1,k4_xcmplx_0(1)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_rm1_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_rm1_r0)]).

fof(rqRealAdd__k2_xcmplx_0__r1_rm2_rm1,theorem,(
    k2_xcmplx_0(1,k4_xcmplx_0(2)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_rm2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_rm2_rm1)]).

fof(rqRealAdd__k2_xcmplx_0__r1_rm3_rm2,theorem,(
    k2_xcmplx_0(1,k4_xcmplx_0(3)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_rm3_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_rm3_rm2)]).

fof(rqRealAdd__k2_xcmplx_0__r1_rn1d2_rn3d2,theorem,(
    k2_xcmplx_0(1,k7_xcmplx_0(1,2)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_rn1d2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_rn1d2_rn3d2)]).

fof(rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2,theorem,(
    k2_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2)]).

fof(rqRealAdd__k2_xcmplx_0__r1_rnm1d3_rn2d3,theorem,(
    k2_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_rnm1d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_rnm1d3_rn2d3)]).

fof(rqRealAdd__k2_xcmplx_0__r1_rnm2d3_rn1d3,theorem,(
    k2_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_rnm2d3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_rnm2d3_rn1d3)]).

fof(rqRealAdd__k2_xcmplx_0__r1_rnm3d2_rnm1d2,theorem,(
    k2_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_rnm3d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_rnm3d2_rnm1d2)]).

fof(rqRealAdd__k2_xcmplx_0__r2_r0_r2,theorem,(
    k2_xcmplx_0(2,0) = 2 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r2_r0_r2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r2_r0_r2)]).

fof(rqRealAdd__k2_xcmplx_0__r2_r1_r3,theorem,(
    k2_xcmplx_0(2,1) = 3 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r2_r1_r3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r2_r1_r3)]).

fof(rqRealAdd__k2_xcmplx_0__r2_rm1_r1,theorem,(
    k2_xcmplx_0(2,k4_xcmplx_0(1)) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r2_rm1_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r2_rm1_r1)]).

fof(rqRealAdd__k2_xcmplx_0__r2_rm2_r0,theorem,(
    k2_xcmplx_0(2,k4_xcmplx_0(2)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r2_rm2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r2_rm2_r0)]).

fof(rqRealAdd__k2_xcmplx_0__r2_rm3_rm1,theorem,(
    k2_xcmplx_0(2,k4_xcmplx_0(3)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r2_rm3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r2_rm3_rm1)]).

fof(rqRealAdd__k2_xcmplx_0__r2_rnm1d2_rn3d2,theorem,(
    k2_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r2_rnm1d2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r2_rnm1d2_rn3d2)]).

fof(rqRealAdd__k2_xcmplx_0__r2_rnm3d2_rn1d2,theorem,(
    k2_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r2_rnm3d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r2_rnm3d2_rn1d2)]).

fof(rqRealAdd__k2_xcmplx_0__r3_r0_r3,theorem,(
    k2_xcmplx_0(3,0) = 3 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r3_r0_r3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r3_r0_r3)]).

fof(rqRealAdd__k2_xcmplx_0__r3_rm1_r2,theorem,(
    k2_xcmplx_0(3,k4_xcmplx_0(1)) = 2 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r3_rm1_r2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r3_rm1_r2)]).

fof(rqRealAdd__k2_xcmplx_0__r3_rm2_r1,theorem,(
    k2_xcmplx_0(3,k4_xcmplx_0(2)) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r3_rm2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r3_rm2_r1)]).

fof(rqRealAdd__k2_xcmplx_0__r3_rm3_r0,theorem,(
    k2_xcmplx_0(3,k4_xcmplx_0(3)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r3_rm3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r3_rm3_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rm1_r0_rm1,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(1),0) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm1_r0_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm1_r0_rm1)]).

fof(rqRealAdd__k2_xcmplx_0__rm1_r1_r0,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(1),1) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm1_r1_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm1_r1_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rm1_r2_r1,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(1),2) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm1_r2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm1_r2_r1)]).

fof(rqRealAdd__k2_xcmplx_0__rm1_r3_r2,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(1),3) = 2 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm1_r3_r2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm1_r3_r2)]).

fof(rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(1)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2)]).

fof(rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(2)) = k4_xcmplx_0(3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3)]).

fof(rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2)]).

fof(rqRealAdd__k2_xcmplx_0__rm1_rn2d3_rnm1d3,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rn2d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rn2d3_rnm1d3)]).

fof(rqRealAdd__k2_xcmplx_0__rm1_rn3d2_rn1d2,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(3,2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rn3d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rn3d2_rn1d2)]).

fof(rqRealAdd__k2_xcmplx_0__rm1_rnm1d2_rnm3d2,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rnm1d2_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rnm1d2_rnm3d2)]).

fof(rqRealAdd__k2_xcmplx_0__rm2_r0_rm2,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(2),0) = k4_xcmplx_0(2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm2_r0_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm2_r0_rm2)]).

fof(rqRealAdd__k2_xcmplx_0__rm2_r1_rm1,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(2),1) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm2_r1_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm2_r1_rm1)]).

fof(rqRealAdd__k2_xcmplx_0__rm2_r2_r0,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(2),2) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm2_r2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm2_r2_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rm2_r3_r1,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(2),3) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm2_r3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm2_r3_r1)]).

fof(rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(1)) = k4_xcmplx_0(3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3)]).

fof(rqRealAdd__k2_xcmplx_0__rm2_rn3d2_rnm1d2,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm2_rn3d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm2_rn3d2_rnm1d2)]).

fof(rqRealAdd__k2_xcmplx_0__rm3_r1_rm2,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(3),1) = k4_xcmplx_0(2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm3_r1_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm3_r1_rm2)]).

fof(rqRealAdd__k2_xcmplx_0__rm3_r2_rm1,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(3),2) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm3_r2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm3_r2_rm1)]).

fof(rqRealAdd__k2_xcmplx_0__rm3_r3_r0,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(3),3) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm3_r3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm3_r3_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,2),0) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d2_r1_rn3d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,2),1) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_r1_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_r1_rn3d2)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d2_rm2_rnm3d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rm2_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rm2_rnm3d2)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,2)) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d2_rn3d2_r2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2)) = 2 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rn3d2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rn3d2_r2)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d2_rm1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d2_rm1)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d3_rn1d3_rn2d3,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(1,3)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d3_rn1d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d3_rn1d3_rn2d3)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d3_rn2d3_r1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(2,3)) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d3_rn2d3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d3_rn2d3_r1)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d3_rnm1d3_r0,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d3_rnm1d3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d3_rnm1d3_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d3_rnm2d3_rnm1d3,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d3_rnm2d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d3_rnm2d3_rnm1d3)]).

fof(rqRealAdd__k2_xcmplx_0__rn2d3_r0_rn2d3,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(2,3),0) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn2d3_r0_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn2d3_r0_rn2d3)]).

fof(rqRealAdd__k2_xcmplx_0__rn2d3_rn1d3_r1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(1,3)) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn2d3_rn1d3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn2d3_rn1d3_r1)]).

fof(rqRealAdd__k2_xcmplx_0__rn2d3_rnm1d3_rn1d3,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn2d3_rnm1d3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn2d3_rnm1d3_rn1d3)]).

fof(rqRealAdd__k2_xcmplx_0__rn2d3_rnm2d3_r0,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn2d3_rnm2d3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn2d3_rnm2d3_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rn3d2_r0_rn3d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(3,2),0) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_r0_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_r0_rn3d2)]).

fof(rqRealAdd__k2_xcmplx_0__rn3d2_rm1_rn1d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(3,2),k4_xcmplx_0(1)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rm1_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rm1_rn1d2)]).

fof(rqRealAdd__k2_xcmplx_0__rn3d2_rm2_rnm1d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(3,2),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rm2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rm2_rnm1d2)]).

fof(rqRealAdd__k2_xcmplx_0__rn3d2_rn1d2_r2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(1,2)) = 2 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rn1d2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rn1d2_r2)]).

fof(rqRealAdd__k2_xcmplx_0__rn3d2_rn3d2_r3,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(3,2)) = 3 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rn3d2_r3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rn3d2_r3)]).

fof(rqRealAdd__k2_xcmplx_0__rn3d2_rnm1d2_r1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rnm1d2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rnm1d2_r1)]).

fof(rqRealAdd__k2_xcmplx_0__rn3d2_rnm3d2_r0,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rnm3d2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn3d2_rnm3d2_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),1) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d2_r2_rn3d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),2) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_r2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_r2_rn3d2)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rm1_rnm3d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_rm1_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_rm1_rnm3d2)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,2)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rn3d2_r1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(3,2)) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_rn3d2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_rn3d2_r1)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm3d2_rm2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_rnm3d2_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_rnm3d2_rm2)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d3_r1_rn2d3,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),1) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d3_r1_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d3_r1_rn2d3)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rn1d3_r0,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(1,3)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d3_rn1d3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d3_rn1d3_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rn2d3_rn1d3,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(2,3)) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d3_rn2d3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d3_rn2d3_rn1d3)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rnm1d3_rnm2d3,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d3_rnm1d3_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d3_rnm1d3_rnm2d3)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d3_rnm2d3_rm1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d3_rnm2d3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d3_rnm2d3_rm1)]).

fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rn2d3_r0,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(2,3)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm2d3_rn2d3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm2d3_rn2d3_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rnm2d3_rnm1d3_rm1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm2d3_rnm1d3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm2d3_rnm1d3_rm1)]).

fof(rqRealAdd__k2_xcmplx_0__rnm3d2_r2_rn1d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),2) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm3d2_r2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm3d2_r2_rn1d2)]).

fof(rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d2_r0,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(3,2)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d2_r0)]).

fof(spc1_arithm,theorem,(
    ! [A,B] : 
      ( ( v1_xcmplx_0(A)
        & v1_xcmplx_0(B) )
     => k2_xcmplx_0(A,k4_xcmplx_0(B)) = k6_xcmplx_0(A,B) ) ),
    file(arithm,spc1_arithm),
    [interesting(0.9),axiom,file(arithm,spc1_arithm)]).

fof(spc6_arithm,theorem,(
    ! [A,B,C] : 
      ( ( v1_xcmplx_0(A)
        & v1_xcmplx_0(B)
        & v1_xcmplx_0(C) )
     => k2_xcmplx_0(k2_xcmplx_0(A,B),C) = k2_xcmplx_0(A,k2_xcmplx_0(B,C)) ) ),
    file(arithm,spc6_arithm),
    [interesting(0.9),axiom,file(arithm,spc6_arithm)]).

fof(spc8_arithm,theorem,(
    ! [A,B] : 
      ( ( v1_xcmplx_0(A)
        & v1_xcmplx_0(B) )
     => k2_xcmplx_0(k4_xcmplx_0(A),k4_xcmplx_0(B)) = k4_xcmplx_0(k2_xcmplx_0(A,B)) ) ),
    file(arithm,spc8_arithm),
    [interesting(0.9),axiom,file(arithm,spc8_arithm)]).

fof(spc9_arithm,theorem,(
    ! [A,B] : 
      ( ( v1_xcmplx_0(A)
        & v1_xcmplx_0(B) )
     => k6_xcmplx_0(k4_xcmplx_0(A),k4_xcmplx_0(B)) = k6_xcmplx_0(B,A) ) ),
    file(arithm,spc9_arithm),
    [interesting(0.9),axiom,file(arithm,spc9_arithm)]).

fof(t1_arithm,theorem,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => k2_xcmplx_0(A,0) = A ) ),
    file(arithm,t1_arithm),
    [interesting(0.9),axiom,file(arithm,t1_arithm)]).

fof(t1_numerals,theorem,(
    m1_subset_1(0,k5_numbers) ),
    file(numerals,t1_numerals),
    [interesting(0.9),axiom,file(numerals,t1_numerals)]).

fof(t1_real,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(real,t1_real)]).

fof(t2_subset,theorem,(
    ! [A,B] : 
      ( m1_subset_1(A,B)
     => ( v1_xboole_0(B)
        | r2_hidden(A,B) ) ) ),
    file(subset,t2_subset),
    [interesting(0.9),axiom,file(subset,t2_subset)]).

fof(t4_arithm,theorem,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => k6_xcmplx_0(A,0) = A ) ),
    file(arithm,t4_arithm),
    [interesting(0.9),axiom,file(arithm,t4_arithm)]).

fof(t4_real,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(real,t4_real)]).

fof(t5_arithm,theorem,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => k7_xcmplx_0(0,A) = 0 ) ),
    file(arithm,t5_arithm),
    [interesting(0.9),axiom,file(arithm,t5_arithm)]).

fof(t6_arithm,theorem,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => k7_xcmplx_0(A,1) = A ) ),
    file(arithm,t6_arithm),
    [interesting(0.9),axiom,file(arithm,t6_arithm)]).

fof(t6_boole,theorem,(
    ! [A] : 
      ( v1_xboole_0(A)
     => A = k1_xboole_0 ) ),
    file(boole,t6_boole),
    [interesting(0.9),axiom,file(boole,t6_boole)]).

fof(t7_boole,theorem,(
    ! [A,B] : 
      ~ ( r2_hidden(A,B)
        & v1_xboole_0(B) ) ),
    file(boole,t7_boole),
    [interesting(0.9),axiom,file(boole,t7_boole)]).

fof(t8_boole,theorem,(
    ! [A,B] : 
      ~ ( v1_xboole_0(A)
        & A != B
        & v1_xboole_0(B) ) ),
    file(boole,t8_boole),
    [interesting(0.9),axiom,file(boole,t8_boole)]).

fof(commutativity_k1_nat_1,theorem,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => k1_nat_1(A,B) = k1_nat_1(B,A) ) ),
    file(nat_1,k1_nat_1),
    [interesting(0.9),axiom,file(nat_1,k1_nat_1)]).

fof(commutativity_k3_real_1,theorem,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k1_numbers)
        & m1_subset_1(B,k1_numbers) )
     => k3_real_1(A,B) = k3_real_1(B,A) ) ),
    file(real_1,k3_real_1),
    [interesting(0.9),axiom,file(real_1,k3_real_1)]).

fof(involutiveness_k4_xcmplx_0,theorem,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => k4_xcmplx_0(k4_xcmplx_0(A)) = A ) ),
    file(xcmplx_0,k4_xcmplx_0),
    [interesting(0.9),axiom,file(xcmplx_0,k4_xcmplx_0)]).

fof(reflexivity_r1_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => r1_xreal_0(A,A) ) ),
    file(xreal_0,r1_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,r1_xreal_0)]).

fof(connectedness_r1_xreal_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(xreal_0,r1_xreal_0)]).

fof(redefinition_k1_nat_1,definition,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => k1_nat_1(A,B) = k2_xcmplx_0(A,B) ) ),
    file(nat_1,k1_nat_1),
    [interesting(0.9),axiom,file(nat_1,k1_nat_1)]).

fof(redefinition_k2_cqc_lang,definition,(
    ! [A,B,C,D,E] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(D,A)
        & m1_subset_1(E,A) )
     => k2_cqc_lang(A,B,C,D,E) = k1_cqc_lang(B,C,D,E) ) ),
    file(cqc_lang,k2_cqc_lang),
    [interesting(0.9),axiom,file(cqc_lang,k2_cqc_lang)]).

fof(redefinition_k3_real_1,definition,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k1_numbers)
        & m1_subset_1(B,k1_numbers) )
     => k3_real_1(A,B) = k2_xcmplx_0(A,B) ) ),
    file(real_1,k3_real_1),
    [interesting(0.9),axiom,file(real_1,k3_real_1)]).

fof(redefinition_k3_series_1,definition,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => k3_series_1(A,B) = k3_power(A,B) ) ),
    file(series_1,k3_series_1),
    [interesting(0.9),axiom,file(series_1,k3_series_1)]).

fof(redefinition_k5_real_1,definition,(
    ! [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),
    [interesting(0.9),axiom,file(real_1,k5_real_1)]).

fof(dt_k10_binarith,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k4_finseq_2(A,k6_margrel1))
        & m1_subset_1(C,k4_finseq_2(A,k6_margrel1)) )
     => m2_finseq_2(k10_binarith(A,B,C),k6_margrel1,k4_finseq_2(A,k6_margrel1)) ) ),
    file(binarith,k10_binarith),
    [interesting(0.9),axiom,file(binarith,k10_binarith)]).

fof(dt_k11_binarith,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k4_finseq_2(A,k6_margrel1))
        & m1_subset_1(C,k4_finseq_2(A,k6_margrel1)) )
     => m1_subset_1(k11_binarith(A,B,C),k6_margrel1) ) ),
    file(binarith,k11_binarith),
    [interesting(0.9),axiom,file(binarith,k11_binarith)]).

fof(dt_k1_binari_3,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => m2_finseq_2(k1_binari_3(A,B),k6_margrel1,k4_finseq_2(A,k6_margrel1)) ) ),
    file(binari_3,k1_binari_3),
    [interesting(0.9),axiom,file(binari_3,k1_binari_3)]).

fof(dt_k1_nat_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => m2_subset_1(k1_nat_1(A,B),k1_numbers,k5_numbers) ) ),
    file(nat_1,k1_nat_1),
    [interesting(0.9),axiom,file(nat_1,k1_nat_1)]).

fof(dt_k1_numbers,axiom,(
    $true ),
    file(numbers,k1_numbers),
    [interesting(0.9),axiom,file(numbers,k1_numbers)]).

fof(dt_k2_cqc_lang,axiom,(
    ! [A,B,C,D,E] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(D,A)
        & m1_subset_1(E,A) )
     => m1_subset_1(k2_cqc_lang(A,B,C,D,E),A) ) ),
    file(cqc_lang,k2_cqc_lang),
    [interesting(0.9),axiom,file(cqc_lang,k2_cqc_lang)]).

fof(dt_k3_real_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k1_numbers)
        & m1_subset_1(B,k1_numbers) )
     => m1_subset_1(k3_real_1(A,B),k1_numbers) ) ),
    file(real_1,k3_real_1),
    [interesting(0.9),axiom,file(real_1,k3_real_1)]).

fof(dt_k3_series_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => m2_subset_1(k3_series_1(A,B),k1_numbers,k5_numbers) ) ),
    file(series_1,k3_series_1),
    [interesting(0.9),axiom,file(series_1,k3_series_1)]).

fof(dt_k4_xcmplx_0,axiom,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => v1_xcmplx_0(k4_xcmplx_0(A)) ) ),
    file(xcmplx_0,k4_xcmplx_0),
    [interesting(0.9),axiom,file(xcmplx_0,k4_xcmplx_0)]).

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),
    [interesting(0.9),axiom,file(real_1,k5_real_1)]).

fof(dt_k6_xcmplx_0,axiom,(
    $true ),
    file(xcmplx_0,k6_xcmplx_0),
    [interesting(0.9),axiom,file(xcmplx_0,k6_xcmplx_0)]).

fof(dt_k7_margrel1,axiom,(
    m1_subset_1(k7_margrel1,k6_margrel1) ),
    file(margrel1,k7_margrel1),
    [interesting(0.9),axiom,file(margrel1,k7_margrel1)]).

fof(dt_k7_xcmplx_0,axiom,(
    $true ),
    file(xcmplx_0,k7_xcmplx_0),
    [interesting(0.9),axiom,file(xcmplx_0,k7_xcmplx_0)]).

fof(dt_k9_binarith,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k4_finseq_2(A,k6_margrel1)) )
     => m2_subset_1(k9_binarith(A,B),k1_numbers,k5_numbers) ) ),
    file(binarith,k9_binarith),
    [interesting(0.9),axiom,file(binarith,k9_binarith)]).

fof(dt_c1_10__binari_4,assumption,
    ( ~ v1_xboole_0(c1_10__binari_4)
    & m2_subset_1(c1_10__binari_4,k1_numbers,k5_numbers) ),
    introduced(assumption,[file(binari_4,c1_10__binari_4)]),
    [interesting(0.8),axiom,file(binari_4,c1_10__binari_4)]).

fof(dt_c2_10__binari_4,assumption,(
    m2_subset_1(c2_10__binari_4,k1_numbers,k5_numbers) ),
    introduced(assumption,[file(binari_4,c2_10__binari_4)]),
    [interesting(0.8),axiom,file(binari_4,c2_10__binari_4)]).

fof(dt_c3_10__binari_4,assumption,(
    m2_subset_1(c3_10__binari_4,k1_numbers,k5_numbers) ),
    introduced(assumption,[file(binari_4,c3_10__binari_4)]),
    [interesting(0.8),axiom,file(binari_4,c3_10__binari_4)]).

fof(cc2_xreal_0,theorem,(
    ! [A] : 
      ( v1_xreal_0(A)
     => v1_xcmplx_0(A) ) ),
    file(xreal_0,cc2_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc2_xreal_0)]).

fof(fc1_xreal_0,theorem,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ( v1_xcmplx_0(k4_xcmplx_0(A))
        & v1_xreal_0(k4_xcmplx_0(A)) ) ) ),
    file(xreal_0,fc1_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc1_xreal_0)]).

fof(fc2_membered,theorem,
    ( ~ v1_xboole_0(k1_numbers)
    & v1_membered(k1_numbers)
    & v2_membered(k1_numbers) ),
    file(membered,fc2_membered),
    [interesting(0.9),axiom,file(membered,fc2_membered)]).

fof(fc5_xreal_0,theorem,(
    ! [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),
    [interesting(0.9),axiom,file(xreal_0,fc5_xreal_0)]).

fof(fc6_xreal_0,theorem,(
    ! [A,B] : 
      ( ( v1_xreal_0(A)
        & v1_xreal_0(B) )
     => ( v1_xcmplx_0(k7_xcmplx_0(A,B))
        & v1_xreal_0(k7_xcmplx_0(A,B)) ) ) ),
    file(xreal_0,fc6_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,fc6_xreal_0)]).

fof(rqLessOrEqual__r1_xreal_0__r0_r3,theorem,(
    r1_xreal_0(0,3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_r3)]).

fof(rqLessOrEqual__r1_xreal_0__r0_rm1,theorem,(
    ~ r1_xreal_0(0,k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__r0_rm2,theorem,(
    ~ r1_xreal_0(0,k4_xcmplx_0(2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_rm2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_rm2)]).

fof(rqLessOrEqual__r1_xreal_0__r0_rm3,theorem,(
    ~ r1_xreal_0(0,k4_xcmplx_0(3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_rm3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_rm3)]).

fof(rqLessOrEqual__r1_xreal_0__r0_rn1d2,theorem,(
    r1_xreal_0(0,k7_xcmplx_0(1,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_rn1d2)]).

fof(rqLessOrEqual__r1_xreal_0__r0_rn1d3,theorem,(
    r1_xreal_0(0,k7_xcmplx_0(1,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_rn1d3)]).

fof(rqLessOrEqual__r1_xreal_0__r0_rn2d3,theorem,(
    r1_xreal_0(0,k7_xcmplx_0(2,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_rn2d3)]).

fof(rqLessOrEqual__r1_xreal_0__r0_rn3d2,theorem,(
    r1_xreal_0(0,k7_xcmplx_0(3,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_rn3d2)]).

fof(rqLessOrEqual__r1_xreal_0__r0_rnm1d2,theorem,(
    ~ r1_xreal_0(0,k7_xcmplx_0(k4_xcmplx_0(1),2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_rnm1d2)]).

fof(rqLessOrEqual__r1_xreal_0__r0_rnm1d3,theorem,(
    ~ r1_xreal_0(0,k7_xcmplx_0(k4_xcmplx_0(1),3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_rnm1d3)]).

fof(rqLessOrEqual__r1_xreal_0__r1_r3,theorem,(
    r1_xreal_0(1,3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_r3)]).

fof(rqLessOrEqual__r1_xreal_0__r1_rm1,theorem,(
    ~ r1_xreal_0(1,k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__r1_rm2,theorem,(
    ~ r1_xreal_0(1,k4_xcmplx_0(2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_rm2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_rm2)]).

fof(rqLessOrEqual__r1_xreal_0__r1_rm3,theorem,(
    ~ r1_xreal_0(1,k4_xcmplx_0(3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_rm3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_rm3)]).

fof(rqLessOrEqual__r1_xreal_0__r1_rn1d2,theorem,(
    ~ r1_xreal_0(1,k7_xcmplx_0(1,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_rn1d2)]).

fof(rqLessOrEqual__r1_xreal_0__r1_rn1d3,theorem,(
    ~ r1_xreal_0(1,k7_xcmplx_0(1,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_rn1d3)]).

fof(rqLessOrEqual__r1_xreal_0__r1_rn2d3,theorem,(
    ~ r1_xreal_0(1,k7_xcmplx_0(2,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_rn2d3)]).

fof(rqLessOrEqual__r1_xreal_0__r1_rn3d2,theorem,(
    r1_xreal_0(1,k7_xcmplx_0(3,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_rn3d2)]).

fof(rqLessOrEqual__r1_xreal_0__r1_rnm1d2,theorem,(
    ~ r1_xreal_0(1,k7_xcmplx_0(k4_xcmplx_0(1),2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_rnm1d2)]).

fof(rqLessOrEqual__r1_xreal_0__r1_rnm1d3,theorem,(
    ~ r1_xreal_0(1,k7_xcmplx_0(k4_xcmplx_0(1),3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_rnm1d3)]).

fof(rqLessOrEqual__r1_xreal_0__r1_rnm3d2,theorem,(
    ~ r1_xreal_0(1,k7_xcmplx_0(k4_xcmplx_0(3),2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_rnm3d2)]).

fof(rqLessOrEqual__r1_xreal_0__r2_r3,theorem,(
    r1_xreal_0(2,3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_r3)]).

fof(rqLessOrEqual__r1_xreal_0__r2_rm1,theorem,(
    ~ r1_xreal_0(2,k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__r2_rm2,theorem,(
    ~ r1_xreal_0(2,k4_xcmplx_0(2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_rm2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_rm2)]).

fof(rqLessOrEqual__r1_xreal_0__r2_rm3,theorem,(
    ~ r1_xreal_0(2,k4_xcmplx_0(3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_rm3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_rm3)]).

fof(rqLessOrEqual__r1_xreal_0__r2_rn1d2,theorem,(
    ~ r1_xreal_0(2,k7_xcmplx_0(1,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_rn1d2)]).

fof(rqLessOrEqual__r1_xreal_0__r2_rn1d3,theorem,(
    ~ r1_xreal_0(2,k7_xcmplx_0(1,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_rn1d3)]).

fof(rqLessOrEqual__r1_xreal_0__r2_rn2d3,theorem,(
    ~ r1_xreal_0(2,k7_xcmplx_0(2,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_rn2d3)]).

fof(rqLessOrEqual__r1_xreal_0__r2_rn3d2,theorem,(
    ~ r1_xreal_0(2,k7_xcmplx_0(3,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_rn3d2)]).

fof(rqLessOrEqual__r1_xreal_0__r2_rnm1d2,theorem,(
    ~ r1_xreal_0(2,k7_xcmplx_0(k4_xcmplx_0(1),2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_rnm1d2)]).

fof(rqLessOrEqual__r1_xreal_0__r2_rnm1d3,theorem,(
    ~ r1_xreal_0(2,k7_xcmplx_0(k4_xcmplx_0(1),3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_rnm1d3)]).

fof(rqLessOrEqual__r1_xreal_0__r2_rnm3d2,theorem,(
    ~ r1_xreal_0(2,k7_xcmplx_0(k4_xcmplx_0(3),2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_rnm3d2)]).

fof(rqLessOrEqual__r1_xreal_0__r3_r0,theorem,(
    ~ r1_xreal_0(3,0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_r0)]).

fof(rqLessOrEqual__r1_xreal_0__r3_r1,theorem,(
    ~ r1_xreal_0(3,1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_r1)]).

fof(rqLessOrEqual__r1_xreal_0__r3_r2,theorem,(
    ~ r1_xreal_0(3,2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_r2)]).

fof(rqLessOrEqual__r1_xreal_0__r3_r3,theorem,(
    r1_xreal_0(3,3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_r3)]).

fof(rqLessOrEqual__r1_xreal_0__r3_rm1,theorem,(
    ~ r1_xreal_0(3,k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__r3_rm2,theorem,(
    ~ r1_xreal_0(3,k4_xcmplx_0(2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_rm2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_rm2)]).

fof(rqLessOrEqual__r1_xreal_0__r3_rm3,theorem,(
    ~ r1_xreal_0(3,k4_xcmplx_0(3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_rm3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_rm3)]).

fof(rqLessOrEqual__r1_xreal_0__r3_rn1d2,theorem,(
    ~ r1_xreal_0(3,k7_xcmplx_0(1,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_rn1d2)]).

fof(rqLessOrEqual__r1_xreal_0__r3_rn1d3,theorem,(
    ~ r1_xreal_0(3,k7_xcmplx_0(1,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_rn1d3)]).

fof(rqLessOrEqual__r1_xreal_0__r3_rn2d3,theorem,(
    ~ r1_xreal_0(3,k7_xcmplx_0(2,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_rn2d3)]).

fof(rqLessOrEqual__r1_xreal_0__r3_rn3d2,theorem,(
    ~ r1_xreal_0(3,k7_xcmplx_0(3,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_rn3d2)]).

fof(rqLessOrEqual__r1_xreal_0__r3_rnm1d2,theorem,(
    ~ r1_xreal_0(3,k7_xcmplx_0(k4_xcmplx_0(1),2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_rnm1d2)]).

fof(rqLessOrEqual__r1_xreal_0__r3_rnm1d3,theorem,(
    ~ r1_xreal_0(3,k7_xcmplx_0(k4_xcmplx_0(1),3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r3_rnm1d3)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_r0,theorem,(
    r1_xreal_0(k4_xcmplx_0(1),0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_r0)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_r1,theorem,(
    r1_xreal_0(k4_xcmplx_0(1),1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_r1)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_r2,theorem,(
    r1_xreal_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_r2)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_r3,theorem,(
    r1_xreal_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_r3)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_rm1,theorem,(
    r1_xreal_0(k4_xcmplx_0(1),k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_rm2,theorem,(
    ~ r1_xreal_0(k4_xcmplx_0(1),k4_xcmplx_0(2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rm2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rm2)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_rm3,theorem,(
    ~ r1_xreal_0(k4_xcmplx_0(1),k4_xcmplx_0(3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rm3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rm3)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_rn1d2,theorem,(
    r1_xreal_0(k4_xcmplx_0(1),k7_xcmplx_0(1,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rn1d2)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_rn1d3,theorem,(
    r1_xreal_0(k4_xcmplx_0(1),k7_xcmplx_0(1,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rn1d3)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_rn2d3,theorem,(
    r1_xreal_0(k4_xcmplx_0(1),k7_xcmplx_0(2,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rn2d3)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_rn3d2,theorem,(
    r1_xreal_0(k4_xcmplx_0(1),k7_xcmplx_0(3,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rn3d2)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_rnm1d2,theorem,(
    r1_xreal_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rnm1d2)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_rnm1d3,theorem,(
    r1_xreal_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rnm1d3)]).

fof(rqLessOrEqual__r1_xreal_0__rm1_rnm3d2,theorem,(
    ~ r1_xreal_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(3),2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm1_rnm3d2)]).

fof(rqLessOrEqual__r1_xreal_0__rm2_r0,theorem,(
    r1_xreal_0(k4_xcmplx_0(2),0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm2_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm2_r0)]).

fof(rqLessOrEqual__r1_xreal_0__rm2_r1,theorem,(
    r1_xreal_0(k4_xcmplx_0(2),1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm2_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm2_r1)]).

fof(rqLessOrEqual__r1_xreal_0__rm2_r2,theorem,(
    r1_xreal_0(k4_xcmplx_0(2),2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm2_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm2_r2)]).

fof(rqLessOrEqual__r1_xreal_0__rm2_r3,theorem,(
    r1_xreal_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm2_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm2_r3)]).

fof(rqLessOrEqual__r1_xreal_0__rm2_rm1,theorem,(
    r1_xreal_0(k4_xcmplx_0(2),k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm2_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm2_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__rm2_rm2,theorem,(
    r1_xreal_0(k4_xcmplx_0(2),k4_xcmplx_0(2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm2_rm2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm2_rm2)]).

fof(rqLessOrEqual__r1_xreal_0__rm3_r0,theorem,(
    r1_xreal_0(k4_xcmplx_0(3),0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm3_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm3_r0)]).

fof(rqLessOrEqual__r1_xreal_0__rm3_r1,theorem,(
    r1_xreal_0(k4_xcmplx_0(3),1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm3_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm3_r1)]).

fof(rqLessOrEqual__r1_xreal_0__rm3_r2,theorem,(
    r1_xreal_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm3_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm3_r2)]).

fof(rqLessOrEqual__r1_xreal_0__rm3_r3,theorem,(
    r1_xreal_0(k4_xcmplx_0(3),3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm3_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm3_r3)]).

fof(rqLessOrEqual__r1_xreal_0__rm3_rm1,theorem,(
    r1_xreal_0(k4_xcmplx_0(3),k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm3_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm3_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__rm3_rm3,theorem,(
    r1_xreal_0(k4_xcmplx_0(3),k4_xcmplx_0(3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm3_rm3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm3_rm3)]).

fof(rqLessOrEqual__r1_xreal_0__rm3_rn1d2,theorem,(
    r1_xreal_0(k4_xcmplx_0(3),k7_xcmplx_0(1,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rm3_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rm3_rn1d2)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d2_r0,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(1,2),0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_r0)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d2_r1,theorem,(
    r1_xreal_0(k7_xcmplx_0(1,2),1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_r1)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d2_r2,theorem,(
    r1_xreal_0(k7_xcmplx_0(1,2),2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_r2)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d2_r3,theorem,(
    r1_xreal_0(k7_xcmplx_0(1,2),3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_r3)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d2_rm1,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(1,2),k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d2_rm3,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(1,2),k4_xcmplx_0(3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_rm3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_rm3)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d2_rn1d2,theorem,(
    r1_xreal_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_rn1d2)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d2_rn3d2,theorem,(
    r1_xreal_0(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_rn3d2)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d2_rnm1d2,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d2_rnm1d2)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d3_r0,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(1,3),0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_r0)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d3_r1,theorem,(
    r1_xreal_0(k7_xcmplx_0(1,3),1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_r1)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d3_r2,theorem,(
    r1_xreal_0(k7_xcmplx_0(1,3),2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_r2)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d3_r3,theorem,(
    r1_xreal_0(k7_xcmplx_0(1,3),3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_r3)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d3_rm1,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(1,3),k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d3_rn1d3,theorem,(
    r1_xreal_0(k7_xcmplx_0(1,3),k7_xcmplx_0(1,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_rn1d3)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d3_rn2d3,theorem,(
    r1_xreal_0(k7_xcmplx_0(1,3),k7_xcmplx_0(2,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_rn2d3)]).

fof(rqLessOrEqual__r1_xreal_0__rn1d3_rnm1d3,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn1d3_rnm1d3)]).

fof(rqLessOrEqual__r1_xreal_0__rn2d3_r0,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(2,3),0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_r0)]).

fof(rqLessOrEqual__r1_xreal_0__rn2d3_r1,theorem,(
    r1_xreal_0(k7_xcmplx_0(2,3),1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_r1)]).

fof(rqLessOrEqual__r1_xreal_0__rn2d3_r2,theorem,(
    r1_xreal_0(k7_xcmplx_0(2,3),2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_r2)]).

fof(rqLessOrEqual__r1_xreal_0__rn2d3_r3,theorem,(
    r1_xreal_0(k7_xcmplx_0(2,3),3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_r3)]).

fof(rqLessOrEqual__r1_xreal_0__rn2d3_rm1,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(2,3),k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__rn2d3_rn1d3,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(2,3),k7_xcmplx_0(1,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_rn1d3)]).

fof(rqLessOrEqual__r1_xreal_0__rn2d3_rn2d3,theorem,(
    r1_xreal_0(k7_xcmplx_0(2,3),k7_xcmplx_0(2,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_rn2d3)]).

fof(rqLessOrEqual__r1_xreal_0__rn2d3_rnm1d3,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn2d3_rnm1d3)]).

fof(rqLessOrEqual__r1_xreal_0__rn3d2_r0,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(3,2),0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_r0)]).

fof(rqLessOrEqual__r1_xreal_0__rn3d2_r1,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(3,2),1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_r1)]).

fof(rqLessOrEqual__r1_xreal_0__rn3d2_r2,theorem,(
    r1_xreal_0(k7_xcmplx_0(3,2),2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_r2)]).

fof(rqLessOrEqual__r1_xreal_0__rn3d2_r3,theorem,(
    r1_xreal_0(k7_xcmplx_0(3,2),3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_r3)]).

fof(rqLessOrEqual__r1_xreal_0__rn3d2_rm1,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(3,2),k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__rn3d2_rn1d2,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(3,2),k7_xcmplx_0(1,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_rn1d2)]).

fof(rqLessOrEqual__r1_xreal_0__rn3d2_rn3d2,theorem,(
    r1_xreal_0(k7_xcmplx_0(3,2),k7_xcmplx_0(3,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_rn3d2)]).

fof(rqLessOrEqual__r1_xreal_0__rn3d2_rnm1d2,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rn3d2_rnm1d2)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d2_r0,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_r0)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d2_r1,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_r1)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d2_r2,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_r2)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d2_r3,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_r3)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d2_rm1,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d2_rn1d2,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_rn1d2)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d2_rn3d2,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(3,2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_rn3d2)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d2_rnm1d2,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d2_rnm1d2)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d3_r0,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_r0)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d3_r1,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_r1)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d3_r2,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_r2)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d3_r3,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),3) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_r3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_r3)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d3_rm1,theorem,(
    ~ r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k4_xcmplx_0(1)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_rm1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d3_rn1d3,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(1,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_rn1d3)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d3_rn2d3,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(2,3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_rn2d3)]).

fof(rqLessOrEqual__r1_xreal_0__rnm1d3_rnm1d3,theorem,(
    r1_xreal_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__rnm1d3_rnm1d3)]).

fof(rqRealDiff__k6_xcmplx_0__r0_r0_r0,theorem,(
    k6_xcmplx_0(0,0) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_r0_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_r0_r0)]).

fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1,theorem,(
    k6_xcmplx_0(0,1) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_r1_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_r1_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__r0_r2_rm2,theorem,(
    k6_xcmplx_0(0,2) = k4_xcmplx_0(2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_r2_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_r2_rm2)]).

fof(rqRealDiff__k6_xcmplx_0__r0_r3_rm3,theorem,(
    k6_xcmplx_0(0,3) = k4_xcmplx_0(3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_r3_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_r3_rm3)]).

fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1,theorem,(
    k6_xcmplx_0(0,k4_xcmplx_0(1)) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_rm1_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_rm1_r1)]).

fof(rqRealDiff__k6_xcmplx_0__r0_rm2_r2,theorem,(
    k6_xcmplx_0(0,k4_xcmplx_0(2)) = 2 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_rm2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_rm2_r2)]).

fof(rqRealDiff__k6_xcmplx_0__r0_rm3_r3,theorem,(
    k6_xcmplx_0(0,k4_xcmplx_0(3)) = 3 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_rm3_r3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_rm3_r3)]).

fof(rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2,theorem,(
    k6_xcmplx_0(0,k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2)]).

fof(rqRealDiff__k6_xcmplx_0__r0_rn1d3_rnm1d3,theorem,(
    k6_xcmplx_0(0,k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_rn1d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_rn1d3_rnm1d3)]).

fof(rqRealDiff__k6_xcmplx_0__r0_rn2d3_rnm2d3,theorem,(
    k6_xcmplx_0(0,k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_rn2d3_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_rn2d3_rnm2d3)]).

fof(rqRealDiff__k6_xcmplx_0__r0_rn3d2_rnm3d2,theorem,(
    k6_xcmplx_0(0,k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_rn3d2_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_rn3d2_rnm3d2)]).

fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2,theorem,(
    k6_xcmplx_0(0,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2)]).

fof(rqRealDiff__k6_xcmplx_0__r0_rnm2d3_rn2d3,theorem,(
    k6_xcmplx_0(0,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_rnm2d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_rnm2d3_rn2d3)]).

fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1,theorem,(
    k6_xcmplx_0(1,2) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_r2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_r2_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__r1_r3_rm2,theorem,(
    k6_xcmplx_0(1,3) = k4_xcmplx_0(2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_r3_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_r3_rm2)]).

fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2,theorem,(
    k6_xcmplx_0(1,k4_xcmplx_0(1)) = 2 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_rm1_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_rm1_r2)]).

fof(rqRealDiff__k6_xcmplx_0__r1_rm2_r3,theorem,(
    k6_xcmplx_0(1,k4_xcmplx_0(2)) = 3 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_rm2_r3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_rm2_r3)]).

fof(rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2,theorem,(
    k6_xcmplx_0(1,k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2)]).

fof(rqRealDiff__k6_xcmplx_0__r1_rn1d3_rn2d3,theorem,(
    k6_xcmplx_0(1,k7_xcmplx_0(1,3)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_rn1d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_rn1d3_rn2d3)]).

fof(rqRealDiff__k6_xcmplx_0__r1_rn2d3_rn1d3,theorem,(
    k6_xcmplx_0(1,k7_xcmplx_0(2,3)) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_rn2d3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_rn2d3_rn1d3)]).

fof(rqRealDiff__k6_xcmplx_0__r1_rn3d2_rnm1d2,theorem,(
    k6_xcmplx_0(1,k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_rn3d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_rn3d2_rnm1d2)]).

fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d2_rn3d2,theorem,(
    k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_rnm1d2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_rnm1d2_rn3d2)]).

fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0,theorem,(
    k6_xcmplx_0(2,2) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r2_r2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r2_r2_r0)]).

fof(rqRealDiff__k6_xcmplx_0__r2_r3_rm1,theorem,(
    k6_xcmplx_0(2,3) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r2_r3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r2_r3_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__r2_rm1_r3,theorem,(
    k6_xcmplx_0(2,k4_xcmplx_0(1)) = 3 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r2_rm1_r3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r2_rm1_r3)]).

fof(rqRealDiff__k6_xcmplx_0__r2_rn1d2_rn3d2,theorem,(
    k6_xcmplx_0(2,k7_xcmplx_0(1,2)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r2_rn1d2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r2_rn1d2_rn3d2)]).

fof(rqRealDiff__k6_xcmplx_0__r2_rn3d2_rn1d2,theorem,(
    k6_xcmplx_0(2,k7_xcmplx_0(3,2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r2_rn3d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r2_rn3d2_rn1d2)]).

fof(rqRealDiff__k6_xcmplx_0__r3_r0_r3,theorem,(
    k6_xcmplx_0(3,0) = 3 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r3_r0_r3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r3_r0_r3)]).

fof(rqRealDiff__k6_xcmplx_0__r3_r1_r2,theorem,(
    k6_xcmplx_0(3,1) = 2 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r3_r1_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r3_r1_r2)]).

fof(rqRealDiff__k6_xcmplx_0__r3_r2_r1,theorem,(
    k6_xcmplx_0(3,2) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r3_r2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r3_r2_r1)]).

fof(rqRealDiff__k6_xcmplx_0__r3_r3_r0,theorem,(
    k6_xcmplx_0(3,3) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r3_r3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r3_r3_r0)]).

fof(rqRealDiff__k6_xcmplx_0__r3_rn3d2_rn3d2,theorem,(
    k6_xcmplx_0(3,k7_xcmplx_0(3,2)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r3_rn3d2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r3_rn3d2_rn3d2)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_rm2_r1,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(2)) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rm2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rm2_r1)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_rm3_r2,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(3)) = 2 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rm3_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rm3_r2)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d2_rnm3d2,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rn1d2_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rn1d2_rnm3d2)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d3_rnm2d3,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rnm1d3_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rnm1d3_rnm2d3)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_rnm2d3_rnm1d3,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rnm2d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rnm2d3_rnm1d3)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_rnm3d2_rn1d2,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rnm3d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rnm3d2_rn1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rm2_r0_rm2,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(2),0) = k4_xcmplx_0(2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm2_r0_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm2_r0_rm2)]).

fof(rqRealDiff__k6_xcmplx_0__rm2_r1_rm3,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(2),1) = k4_xcmplx_0(3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm2_r1_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm2_r1_rm3)]).

fof(rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(1)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__rm2_rm2_r0,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(2)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rm2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rm2_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rm2_rm3_r1,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(3)) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rm3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rm3_r1)]).

fof(rqRealDiff__k6_xcmplx_0__rm2_rnm1d2_rnm3d2,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rnm1d2_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rnm1d2_rnm3d2)]).

fof(rqRealDiff__k6_xcmplx_0__rm2_rnm3d2_rnm1d2,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rnm3d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rnm3d2_rnm1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rm3_r0_rm3,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(3),0) = k4_xcmplx_0(3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm3_r0_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm3_r0_rm3)]).

fof(rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(1)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2)]).

fof(rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(2)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__rm3_rm3_r0,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(3)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm3_rm3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm3_rm3_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rm3_rnm3d2_rnm3d2,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm3_rnm3d2_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm3_rnm3d2_rnm3d2)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,2),0) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,2),1) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d2_r2_rnm3d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,2),2) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_r2_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_r2_rnm3d2)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d2_rm1_rn3d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(1)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rm1_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rm1_rn3d2)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,2)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn3d2_rm1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rn3d2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rn3d2_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm3d2_r2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 2 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rnm3d2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rnm3d2_r2)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d3_r0_rn1d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,3),0) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_r0_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_r0_rn1d3)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d3_r1_rnm2d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,3),1) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_r1_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_r1_rnm2d3)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn1d3_r0,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(1,3)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_rn1d3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_rn1d3_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn2d3_rnm1d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_rn2d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_rn2d3_rnm1d3)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d3_rn2d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d3_rn2d3)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d3_rnm2d3_r1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_rnm2d3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_rnm2d3_r1)]).

fof(rqRealDiff__k6_xcmplx_0__rn2d3_r0_rn2d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(2,3),0) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_r0_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_r0_rn2d3)]).

fof(rqRealDiff__k6_xcmplx_0__rn2d3_r1_rnm1d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(2,3),1) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_r1_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_r1_rnm1d3)]).

fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn1d3_rn1d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(1,3)) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_rn1d3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_rn1d3_rn1d3)]).

fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn2d3_r0,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(2,3)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_rn2d3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_rn2d3_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rn2d3_rnm1d3_r1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_rnm1d3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_rnm1d3_r1)]).

fof(rqRealDiff__k6_xcmplx_0__rn3d2_r0_rn3d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(3,2),0) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_r0_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_r0_rn3d2)]).

fof(rqRealDiff__k6_xcmplx_0__rn3d2_r1_rn1d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(3,2),1) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_r1_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_r1_rn1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rn3d2_r2_rnm1d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(3,2),2) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_r2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_r2_rnm1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rn3d2_r3_rnm3d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(3,2),3) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_r3_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_r3_rnm3d2)]).

fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn1d2_r1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(1,2)) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_rn1d2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_rn1d2_r1)]).

fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn3d2_r0,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(3,2)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_rn3d2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_rn3d2_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rn3d2_rnm1d2_r2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 2 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_rnm1d2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_rnm1d2_r2)]).

fof(rqRealDiff__k6_xcmplx_0__rn3d2_rnm3d2_r3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 3 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_rnm3d2_r3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_rnm3d2_r3)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),0) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r1_rnm3d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),1) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_r1_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_r1_rnm3d2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(1)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm2_rn3d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(2)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rm2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rm2_rn3d2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,2)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d2_rm2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(3,2)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d2_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d2_rm2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d2_r1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d2_r1)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d3_r0_rnm1d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),0) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_r0_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_r0_rnm1d3)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rm1_rn2d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k4_xcmplx_0(1)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_rm1_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_rm1_rn2d3)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rn1d3_rnm2d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_rn1d3_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_rn1d3_rnm2d3)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rn2d3_rm1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(2,3)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_rn2d3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_rn2d3_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm1d3_r0,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_rnm1d3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_rnm1d3_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d3_rnm2d3_rn1d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_rnm2d3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_rnm2d3_rn1d3)]).

fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rm1_rn1d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k4_xcmplx_0(1)) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm2d3_rm1_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm2d3_rm1_rn1d3)]).

fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rn1d3_rm1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(1,3)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm2d3_rn1d3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm2d3_rn1d3_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm1d3_rnm1d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm2d3_rnm1d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm2d3_rnm1d3_rnm1d3)]).

fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rnm2d3_r0,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm2d3_rnm2d3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm2d3_rnm2d3_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm1_rnm1d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k4_xcmplx_0(1)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rm1_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rm1_rnm1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm2_rn1d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k4_xcmplx_0(2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rm2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rm2_rn1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rm3_rn3d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k4_xcmplx_0(3)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rm3_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rm3_rn3d2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rn1d2_rm2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(1,2)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rn1d2_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rn1d2_rm2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rn3d2_rm3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(3,2)) = k4_xcmplx_0(3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rn3d2_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rn3d2_rm3)]).

fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm1d2_rm1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rnm1d2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rnm1d2_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d2_r0,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d2_r0)]).

fof(rqRealDiv__k7_xcmplx_0__r0_r1_r0,theorem,(
    k7_xcmplx_0(0,1) = 0 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r0_r1_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r0_r1_r0)]).

fof(rqRealDiv__k7_xcmplx_0__r0_r2_r0,theorem,(
    k7_xcmplx_0(0,2) = 0 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r0_r2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r0_r2_r0)]).

fof(rqRealDiv__k7_xcmplx_0__r0_r3_r0,theorem,(
    k7_xcmplx_0(0,3) = 0 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r0_r3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r0_r3_r0)]).

fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1,theorem,(
    k7_xcmplx_0(1,1) = 1 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_r1_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_r1_r1)]).

fof(rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2,theorem,(
    k7_xcmplx_0(1,2) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2)]).

fof(rqRealDiv__k7_xcmplx_0__r1_r3_rn1d3,theorem,(
    k7_xcmplx_0(1,3) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_r3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_r3_rn1d3)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2,theorem,(
    k7_xcmplx_0(1,k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rm3_rnm1d3,theorem,(
    k7_xcmplx_0(1,k4_xcmplx_0(3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rm3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rm3_rnm1d3)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2,theorem,(
    k7_xcmplx_0(1,k7_xcmplx_0(1,2)) = 2 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rn1d3_r3,theorem,(
    k7_xcmplx_0(1,k7_xcmplx_0(1,3)) = 3 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rn1d3_r3),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rn1d3_r3)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rn3d2_rn2d3,theorem,(
    k7_xcmplx_0(1,k7_xcmplx_0(3,2)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rn3d2_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rn3d2_rn2d3)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2,theorem,(
    k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d3_rm3,theorem,(
    k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k4_xcmplx_0(3) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rnm1d3_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rnm1d3_rm3)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rnm2d3_rnm3d2,theorem,(
    k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rnm2d3_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rnm2d3_rnm3d2)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rnm3d2_rnm2d3,theorem,(
    k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rnm3d2_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rnm3d2_rnm2d3)]).

fof(rqRealDiv__k7_xcmplx_0__r2_r1_r2,theorem,(
    k7_xcmplx_0(2,1) = 2 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r2_r1_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r2_r1_r2)]).

fof(rqRealDiv__k7_xcmplx_0__r2_r2_r1,theorem,(
    k7_xcmplx_0(2,2) = 1 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r2_r2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r2_r2_r1)]).

fof(rqRealDiv__k7_xcmplx_0__r2_r3_rn2d3,theorem,(
    k7_xcmplx_0(2,3) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r2_r3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r2_r3_rn2d3)]).

fof(rqRealDiv__k7_xcmplx_0__r3_r2_rn3d2,theorem,(
    k7_xcmplx_0(3,2) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r3_r2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r3_r2_rn3d2)]).

fof(rqRealDiv__k7_xcmplx_0__r3_r3_r1,theorem,(
    k7_xcmplx_0(3,3) = 1 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r3_r3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r3_r3_r1)]).

fof(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1,theorem,(
    k7_xcmplx_0(k4_xcmplx_0(1),1) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__rm1_r1_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__rm1_r1_rm1)]).

fof(rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2,theorem,(
    k7_xcmplx_0(k4_xcmplx_0(1),2) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2)]).

fof(rqRealNeg__k4_xcmplx_0__r3_rm3,theorem,(
    k4_xcmplx_0(3) = k4_xcmplx_0(3) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__r3_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__r3_rm3)]).

fof(rqRealNeg__k4_xcmplx_0__rm2_r2,theorem,(
    k4_xcmplx_0(k4_xcmplx_0(2)) = 2 ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rm2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rm2_r2)]).

fof(rqRealNeg__k4_xcmplx_0__rm3_r3,theorem,(
    k4_xcmplx_0(k4_xcmplx_0(3)) = 3 ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rm3_r3),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rm3_r3)]).

fof(rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2,theorem,(
    k4_xcmplx_0(k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2)]).

fof(rqRealNeg__k4_xcmplx_0__rn1d3_rnm1d3,theorem,(
    k4_xcmplx_0(k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rn1d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rn1d3_rnm1d3)]).

fof(rqRealNeg__k4_xcmplx_0__rn2d3_rnm2d3,theorem,(
    k4_xcmplx_0(k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rn2d3_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rn2d3_rnm2d3)]).

fof(rqRealNeg__k4_xcmplx_0__rn3d2_rnm3d2,theorem,(
    k4_xcmplx_0(k7_xcmplx_0(3,2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rn3d2_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rn3d2_rnm3d2)]).

fof(rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2,theorem,(
    k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2)]).

fof(rqRealNeg__k4_xcmplx_0__rnm1d3_rn1d3,theorem,(
    k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rnm1d3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rnm1d3_rn1d3)]).

fof(rqRealNeg__k4_xcmplx_0__rnm2d3_rn2d3,theorem,(
    k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rnm2d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rnm2d3_rn2d3)]).

fof(rqRealNeg__k4_xcmplx_0__rnm3d2_rn3d2,theorem,(
    k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rnm3d2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rnm3d2_rn3d2)]).

fof(spc0_boole,theorem,(
    v1_xboole_0(0) ),
    file(boole,spc0_boole),
    [interesting(0.9),axiom,file(boole,spc0_boole)]).

fof(spc1_boole,theorem,(
    ~ v1_xboole_0(1) ),
    file(boole,spc1_boole),
    [interesting(0.9),axiom,file(boole,spc1_boole)]).

fof(spc2_boole,theorem,(
    ~ v1_xboole_0(2) ),
    file(boole,spc2_boole),
    [interesting(0.9),axiom,file(boole,spc2_boole)]).

fof(spc3_boole,theorem,(
    ~ v1_xboole_0(3) ),
    file(boole,spc3_boole),
    [interesting(0.9),axiom,file(boole,spc3_boole)]).

fof(spc0_numerals,theorem,
    ( v2_xreal_0(0)
    & m2_subset_1(0,k1_numbers,k5_numbers)
    & m1_subset_1(0,k5_numbers)
    & m1_subset_1(0,k1_numbers) ),
    file(numerals,spc0_numerals),
    [interesting(0.9),axiom,file(numerals,spc0_numerals)]).

fof(spc1_numerals,theorem,
    ( v2_xreal_0(1)
    & m2_subset_1(1,k1_numbers,k5_numbers)
    & m1_subset_1(1,k5_numbers)
    & m1_subset_1(1,k1_numbers) ),
    file(numerals,spc1_numerals),
    [interesting(0.9),axiom,file(numerals,spc1_numerals)]).

fof(spc2_numerals,theorem,
    ( v2_xreal_0(2)
    & m2_subset_1(2,k1_numbers,k5_numbers)
    & m1_subset_1(2,k5_numbers)
    & m1_subset_1(2,k1_numbers) ),
    file(numerals,spc2_numerals),
    [interesting(0.9),axiom,file(numerals,spc2_numerals)]).

fof(spc3_numerals,theorem,
    ( v2_xreal_0(3)
    & m2_subset_1(3,k1_numbers,k5_numbers)
    & m1_subset_1(3,k5_numbers)
    & m1_subset_1(3,k1_numbers) ),
    file(numerals,spc3_numerals),
    [interesting(0.9),axiom,file(numerals,spc3_numerals)]).

fof(rqLessOrEqual__r1_xreal_0__r2_r2,theorem,(
    r1_xreal_0(2,2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_r2)]).

fof(t29_nat_1,theorem,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ! [B] : 
          ( v4_ordinal2(B)
         => r1_xreal_0(A,k2_xcmplx_0(A,B)) ) ) ),
    file(nat_1,t29_nat_1),
    [interesting(0.9),axiom,file(nat_1,t29_nat_1)]).

fof(e7_10__binari_4,plain,(
    r1_xreal_0(k3_series_1(2,c1_10__binari_4),k1_nat_1(k9_binarith(c1_10__binari_4,k10_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,c2_10__binari_4),k1_binari_3(c1_10__binari_4,c3_10__binari_4))),k3_series_1(2,c1_10__binari_4))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_10__binari_4,dt_c2_10__binari_4,dt_c3_10__binari_4])],[existence_m1_relset_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_relset_1,reflexivity_r1_tarski,existence_m1_finseq_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_m1_finseq_1,dt_m2_relset_1,rc1_margrel1,antisymmetry_r2_hidden,existence_m1_finseq_2,existence_m2_finseq_1,redefinition_m2_finseq_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k5_ordinal2,dt_m1_finseq_2,dt_m2_finseq_1,cc10_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,cc16_membered,cc17_membered,cc18_membered,cc19_membered,cc1_membered,cc20_membered,cc2_membered,cc3_membered,cc4_membered,cc6_membered,cc9_membered,fc1_margrel1,fc5_membered,fc6_membered,rc1_membered,rc2_margrel1,rc2_nat_1,rc3_nat_1,t1_subset,t3_subset,t4_subset,t5_subset,existence_m1_subset_1,existence_m2_finseq_2,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_finseq_2,redefinition_m2_subset_1,dt_k1_numbers,dt_k3_power,dt_k4_finseq_2,dt_k5_numbers,dt_k6_margrel1,dt_m1_subset_1,dt_m2_finseq_2,dt_m2_subset_1,cc15_membered,cc1_margrel1,cc1_nat_1,cc2_int_1,cc2_nat_1,cc2_xreal_0,cc3_xreal_0,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,fc10_xreal_0,fc11_xreal_0,fc12_xreal_0,fc1_int_1,fc2_membered,fc3_margrel1,fc3_nat_1,fc3_xreal_0,fc4_nat_1,fc6_int_1,fc7_xreal_0,fc8_xreal_0,fc9_xreal_0,rc1_int_1,rc1_nat_1,rc1_xreal_0,rc2_int_1,rc2_xreal_0,rc3_xreal_0,rc4_xreal_0,spc6_arithm,t1_real,t2_real,t2_subset,t3_real,t4_real,t5_real,t6_boole,t6_real,t7_boole,t7_real,t8_boole,t8_real,commutativity_k1_nat_1,commutativity_k2_xcmplx_0,reflexivity_r1_xreal_0,connectedness_r1_xreal_0,redefinition_k1_nat_1,redefinition_k3_series_1,dt_k10_binarith,dt_k1_binari_3,dt_k1_nat_1,dt_k2_xcmplx_0,dt_k3_series_1,dt_k9_binarith,dt_c1_10__binari_4,dt_c2_10__binari_4,dt_c3_10__binari_4,cc1_xreal_0,cc3_int_1,cc3_nat_1,fc1_nat_1,rqLessOrEqual__r1_xreal_0__r2_r2,spc2_boole,spc2_numerals,t29_nat_1]),
    [interesting(0.8),file(binari_4,e7_10__binari_4),[file(binari_4,e7_10__binari_4)]]).

fof(d1_cqc_lang,definition,(
    ! [A,B,C,D] : 
      ( ( A = B
       => k1_cqc_lang(A,B,C,D) = C )
      & ( A != B
       => k1_cqc_lang(A,B,C,D) = D ) ) ),
    file(cqc_lang,d1_cqc_lang),
    [interesting(0.9),axiom,file(cqc_lang,d1_cqc_lang)]).

fof(e4_10__binari_4,plain,(
    k2_cqc_lang(k1_numbers,k11_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,c2_10__binari_4),k1_binari_3(c1_10__binari_4,c3_10__binari_4)),k7_margrel1,0,k3_series_1(2,c1_10__binari_4)) = k3_series_1(2,c1_10__binari_4) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_10__binari_4,dt_c2_10__binari_4,dt_c3_10__binari_4,e2_10__binari_4])],[existence_m1_relset_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_relset_1,reflexivity_r1_tarski,existence_m1_finseq_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_m1_finseq_1,dt_m2_relset_1,rc1_margrel1,antisymmetry_r2_hidden,existence_m1_finseq_2,existence_m2_finseq_1,redefinition_m2_finseq_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k5_ordinal2,dt_m1_finseq_2,dt_m2_finseq_1,cc12_membered,cc13_membered,cc14_membered,cc16_membered,cc17_membered,cc18_membered,cc19_membered,cc1_membered,cc1_xreal_0,cc20_membered,cc2_membered,cc2_xreal_0,cc3_int_1,cc3_membered,cc3_nat_1,cc3_xreal_0,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc6_membered,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,cc9_membered,fc1_margrel1,fc5_membered,fc6_membered,rc1_int_1,rc1_membered,rc1_nat_1,rc1_xreal_0,rc2_int_1,rc2_margrel1,rc2_nat_1,rc2_xreal_0,rc3_nat_1,rc3_xreal_0,rc4_xreal_0,t1_subset,t3_subset,t4_subset,t5_subset,existence_m1_subset_1,existence_m2_finseq_2,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_finseq_2,redefinition_m2_subset_1,dt_k3_power,dt_k4_finseq_2,dt_k5_numbers,dt_k6_margrel1,dt_m1_subset_1,dt_m2_finseq_2,dt_m2_subset_1,cc10_membered,cc11_membered,cc15_membered,cc1_margrel1,cc1_nat_1,cc2_int_1,cc2_nat_1,cc4_membered,fc3_margrel1,t1_numerals,t2_subset,t6_boole,t7_boole,t8_boole,redefinition_k2_cqc_lang,redefinition_k3_series_1,dt_k11_binarith,dt_k1_binari_3,dt_k1_cqc_lang,dt_k1_numbers,dt_k2_cqc_lang,dt_k3_series_1,dt_k7_margrel1,dt_c1_10__binari_4,dt_c2_10__binari_4,dt_c3_10__binari_4,fc2_membered,spc0_boole,spc2_boole,spc0_numerals,spc2_numerals,e2_10__binari_4,d1_cqc_lang]),
    [interesting(0.8),file(binari_4,e4_10__binari_4),[file(binari_4,e4_10__binari_4)]]).

fof(commutativity_k23_binop_2,theorem,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => k23_binop_2(A,B) = k23_binop_2(B,A) ) ),
    file(binop_2,k23_binop_2),
    [interesting(0.9),axiom,file(binop_2,k23_binop_2)]).

fof(redefinition_k23_binop_2,definition,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => k23_binop_2(A,B) = k2_xcmplx_0(A,B) ) ),
    file(binop_2,k23_binop_2),
    [interesting(0.9),axiom,file(binop_2,k23_binop_2)]).

fof(dt_k23_binop_2,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => m2_subset_1(k23_binop_2(A,B),k1_numbers,k5_numbers) ) ),
    file(binop_2,k23_binop_2),
    [interesting(0.9),axiom,file(binop_2,k23_binop_2)]).

fof(t47_binarith,theorem,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & m2_subset_1(A,k1_numbers,k5_numbers) )
     => ! [B] : 
          ( m2_finseq_2(B,k6_margrel1,k4_finseq_2(A,k6_margrel1))
         => ! [C] : 
              ( m2_finseq_2(C,k6_margrel1,k4_finseq_2(A,k6_margrel1))
             => k23_binop_2(k9_binarith(A,k10_binarith(A,B,C)),k2_cqc_lang(k5_numbers,k11_binarith(A,B,C),k7_margrel1,0,k3_series_1(2,A))) = k23_binop_2(k9_binarith(A,B),k9_binarith(A,C)) ) ) ) ),
    file(binarith,t47_binarith),
    [interesting(0.9),axiom,file(binarith,t47_binarith)]).

fof(e1_10_1__binari_4,plain,(
    k3_real_1(k9_binarith(c1_10__binari_4,k10_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,c2_10__binari_4),k1_binari_3(c1_10__binari_4,c3_10__binari_4))),k2_cqc_lang(k1_numbers,k11_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,c2_10__binari_4),k1_binari_3(c1_10__binari_4,c3_10__binari_4)),k7_margrel1,0,k3_series_1(2,c1_10__binari_4))) = k1_nat_1(k9_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,c2_10__binari_4)),k9_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,c3_10__binari_4))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_10__binari_4,dt_c2_10__binari_4,dt_c3_10__binari_4])],[existence_m1_relset_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_relset_1,reflexivity_r1_tarski,existence_m1_finseq_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_m1_finseq_1,dt_m2_relset_1,cc2_xreal_0,cc3_xreal_0,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,fc10_xreal_0,fc11_xreal_0,fc12_xreal_0,fc1_int_1,fc3_xreal_0,fc6_int_1,fc7_xreal_0,fc8_xreal_0,fc9_xreal_0,rc1_int_1,rc1_margrel1,rc1_nat_1,rc1_xreal_0,rc2_int_1,rc2_margrel1,rc2_nat_1,rc2_xreal_0,rc3_nat_1,rc3_xreal_0,rc4_xreal_0,spc6_arithm,t1_arithm,commutativity_k2_xcmplx_0,antisymmetry_r2_hidden,existence_m1_finseq_2,existence_m1_subset_1,existence_m2_finseq_1,redefinition_m2_finseq_1,dt_k1_cqc_lang,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_xcmplx_0,dt_k3_power,dt_k5_ordinal2,dt_m1_finseq_2,dt_m1_subset_1,dt_m2_finseq_1,cc10_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,cc16_membered,cc17_membered,cc18_membered,cc19_membered,cc1_margrel1,cc1_membered,cc1_nat_1,cc1_xreal_0,cc20_membered,cc2_int_1,cc2_membered,cc2_nat_1,cc3_int_1,cc3_membered,cc3_nat_1,cc4_membered,cc6_membered,cc9_membered,fc1_margrel1,fc1_nat_1,fc3_nat_1,fc4_nat_1,fc5_membered,fc6_membered,rc1_membered,rqRealAdd__k2_xcmplx_0__r0_r0_r0,rqRealAdd__k2_xcmplx_0__r0_r2_r2,rqRealAdd__k2_xcmplx_0__r2_r0_r2,t1_numerals,t1_subset,t2_subset,t3_subset,t4_subset,t5_subset,commutativity_k1_nat_1,commutativity_k23_binop_2,commutativity_k3_real_1,existence_m2_finseq_2,existence_m2_subset_1,redefinition_k1_nat_1,redefinition_k23_binop_2,redefinition_k2_cqc_lang,redefinition_k3_real_1,redefinition_k3_series_1,redefinition_k5_numbers,redefinition_m2_finseq_2,redefinition_m2_subset_1,dt_k10_binarith,dt_k11_binarith,dt_k1_binari_3,dt_k1_nat_1,dt_k1_numbers,dt_k23_binop_2,dt_k2_cqc_lang,dt_k3_real_1,dt_k3_series_1,dt_k4_finseq_2,dt_k5_numbers,dt_k6_margrel1,dt_k7_margrel1,dt_k9_binarith,dt_m2_finseq_2,dt_m2_subset_1,dt_c1_10__binari_4,dt_c2_10__binari_4,dt_c3_10__binari_4,cc15_membered,fc2_membered,fc3_margrel1,spc0_boole,spc2_boole,t6_boole,t7_boole,t8_boole,spc0_boole,spc2_boole,spc0_numerals,spc2_numerals,t47_binarith]),
    [interesting(0.65),file(binari_4,e1_10_1__binari_4),[file(binari_4,e1_10_1__binari_4)]]).

fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1,theorem,(
    k6_xcmplx_0(2,1) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r2_r1_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r2_r1_r1)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_r1_rm2,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),1) = k4_xcmplx_0(2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_r1_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_r1_rm2)]).

fof(rqLessOrEqual__r1_xreal_0__r2_r1,theorem,(
    ~ r1_xreal_0(2,1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_r1)]).

fof(rqRealNeg__k4_xcmplx_0__r2_rm2,theorem,(
    k4_xcmplx_0(2) = k4_xcmplx_0(2) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__r2_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__r2_rm2)]).

fof(rqRealNeg__k4_xcmplx_0__rm1_r1,theorem,(
    k4_xcmplx_0(k4_xcmplx_0(1)) = 1 ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rm1_r1),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rm1_r1)]).

fof(t8_binari_4,theorem,(
    ! [A] : 
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] : 
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] : 
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ( r1_xreal_0(k1_nat_1(A,B),k5_real_1(C,1))
               => ( ~ r1_xreal_0(C,A)
                  & ~ r1_xreal_0(C,B) ) ) ) ) ) ),
    file(binari_4,t8_binari_4),
    [interesting(0.9),axiom,file(binari_4,t8_binari_4)]).

fof(rqRealNeg__k4_xcmplx_0__r1_rm1,theorem,(
    k4_xcmplx_0(1) = k4_xcmplx_0(1) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__r1_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__r1_rm1)]).

fof(rqLessOrEqual__r1_xreal_0__r1_r1,theorem,(
    r1_xreal_0(1,1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_r1)]).

fof(rqLessOrEqual__r1_xreal_0__r1_r2,theorem,(
    r1_xreal_0(1,2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_r2)]).

fof(e3_10__binari_4,plain,
    ( ~ r1_xreal_0(k3_series_1(2,c1_10__binari_4),c2_10__binari_4)
    & ~ r1_xreal_0(k3_series_1(2,c1_10__binari_4),c3_10__binari_4) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_10__binari_4,dt_c2_10__binari_4,dt_c3_10__binari_4,e1_10__binari_4])],[rc1_margrel1,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,cc12_membered,cc13_membered,cc14_membered,cc18_membered,cc19_membered,cc1_membered,cc1_xreal_0,cc20_membered,cc2_membered,cc3_int_1,cc3_membered,cc3_nat_1,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc8_xreal_0,fc10_xreal_0,fc11_xreal_0,fc12_xreal_0,fc14_xreal_0,fc15_xreal_0,fc16_xreal_0,fc19_xreal_0,fc1_int_1,fc1_margrel1,fc1_nat_1,fc20_xreal_0,fc3_int_1,fc3_nat_1,fc4_int_1,fc4_nat_1,fc6_int_1,fc6_membered,fc7_xreal_0,fc8_int_1,fc9_xreal_0,rc1_int_1,rc1_membered,rc1_nat_1,rc2_int_1,rc2_nat_1,rc2_xreal_0,rc3_nat_1,rc3_xreal_0,rc4_xreal_0,t1_subset,t2_real,t3_real,t4_subset,t5_real,t5_subset,t6_real,t7_real,t8_real,commutativity_k2_xcmplx_0,existence_m1_subset_1,dt_k1_zfmisc_1,dt_k2_xcmplx_0,dt_k3_power,dt_k5_ordinal2,dt_k6_xcmplx_0,dt_m1_subset_1,cc10_membered,cc11_membered,cc15_membered,cc16_membered,cc17_membered,cc1_nat_1,cc2_int_1,cc2_nat_1,cc2_xreal_0,cc3_xreal_0,cc4_membered,cc6_membered,cc6_xreal_0,cc7_xreal_0,cc9_membered,fc13_xreal_0,fc17_xreal_0,fc18_xreal_0,fc1_xreal_0,fc3_xreal_0,fc5_int_1,fc5_membered,fc5_xreal_0,fc8_xreal_0,fc9_int_1,rc1_xreal_0,rqRealAdd__k2_xcmplx_0__r1_r1_r2,rqRealAdd__k2_xcmplx_0__r1_rm2_rm1,rqRealAdd__k2_xcmplx_0__r2_rm1_r1,rqRealAdd__k2_xcmplx_0__rm1_r2_r1,rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2,rqRealAdd__k2_xcmplx_0__rm2_r1_rm1,rqRealDiff__k6_xcmplx_0__r1_r2_rm1,rqRealDiff__k6_xcmplx_0__r1_rm1_r2,rqRealDiff__k6_xcmplx_0__r2_r1_r1,rqRealDiff__k6_xcmplx_0__rm1_r1_rm2,rqRealDiff__k6_xcmplx_0__rm1_rm2_r1,rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1,spc1_arithm,spc6_arithm,spc8_arithm,spc9_arithm,t1_real,t2_subset,t3_subset,t4_real,t6_boole,t7_boole,t8_boole,commutativity_k1_nat_1,involutiveness_k4_xcmplx_0,reflexivity_r1_xreal_0,connectedness_r1_xreal_0,existence_m2_subset_1,redefinition_k1_nat_1,redefinition_k3_series_1,redefinition_k5_numbers,redefinition_k5_real_1,redefinition_m2_subset_1,dt_k1_nat_1,dt_k1_numbers,dt_k3_series_1,dt_k4_xcmplx_0,dt_k5_numbers,dt_k5_real_1,dt_m2_subset_1,dt_c1_10__binari_4,dt_c2_10__binari_4,dt_c3_10__binari_4,fc2_membered,rqLessOrEqual__r1_xreal_0__r1_rm1,rqLessOrEqual__r1_xreal_0__r1_rm2,rqLessOrEqual__r1_xreal_0__r2_r1,rqLessOrEqual__r1_xreal_0__r2_rm1,rqLessOrEqual__r1_xreal_0__r2_rm2,rqLessOrEqual__r1_xreal_0__rm1_r1,rqLessOrEqual__r1_xreal_0__rm1_r2,rqLessOrEqual__r1_xreal_0__rm1_rm1,rqLessOrEqual__r1_xreal_0__rm1_rm2,rqLessOrEqual__r1_xreal_0__rm2_r1,rqLessOrEqual__r1_xreal_0__rm2_r2,rqLessOrEqual__r1_xreal_0__rm2_rm1,rqLessOrEqual__r1_xreal_0__rm2_rm2,rqRealNeg__k4_xcmplx_0__r2_rm2,rqRealNeg__k4_xcmplx_0__rm1_r1,rqRealNeg__k4_xcmplx_0__rm2_r2,spc1_boole,spc2_boole,spc1_numerals,spc2_numerals,e1_10__binari_4,t8_binari_4,rqRealNeg__k4_xcmplx_0__r1_rm1,rqLessOrEqual__r1_xreal_0__r1_r1,rqLessOrEqual__r1_xreal_0__r1_r2,rqLessOrEqual__r1_xreal_0__r2_r2]),
    [interesting(0.8),file(binari_4,e3_10__binari_4),[file(binari_4,e3_10__binari_4)]]).

fof(t36_binari_3,theorem,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & m2_subset_1(A,k1_numbers,k5_numbers) )
     => ! [B] : 
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ( ~ r1_xreal_0(k3_series_1(2,A),B)
           => k9_binarith(A,k1_binari_3(A,B)) = B ) ) ) ),
    file(binari_3,t36_binari_3),
    [interesting(0.9),axiom,file(binari_3,t36_binari_3)]).

fof(e2_10_1__binari_4,plain,(
    k1_nat_1(k9_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,c2_10__binari_4)),k9_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,c3_10__binari_4))) = k1_nat_1(c2_10__binari_4,k9_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,c3_10__binari_4))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_10__binari_4,dt_c2_10__binari_4,dt_c3_10__binari_4,e1_10__binari_4])],[existence_m1_relset_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_relset_1,existence_m1_finseq_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_m1_finseq_1,dt_m2_relset_1,reflexivity_r1_tarski,existence_m1_finseq_2,existence_m2_finseq_1,redefinition_m2_finseq_1,dt_m1_finseq_2,dt_m2_finseq_1,cc1_xreal_0,cc3_int_1,cc3_nat_1,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc8_xreal_0,fc10_xreal_0,fc11_xreal_0,fc12_xreal_0,fc1_int_1,fc1_nat_1,fc3_nat_1,fc4_nat_1,fc6_int_1,fc7_xreal_0,fc9_xreal_0,rc1_int_1,rc1_margrel1,rc1_nat_1,rc1_xreal_0,rc2_int_1,rc2_margrel1,rc2_nat_1,rc2_xreal_0,rc3_nat_1,rc3_xreal_0,rc4_xreal_0,spc6_arithm,t2_real,t3_real,t5_real,t6_real,t7_real,t8_real,commutativity_k2_xcmplx_0,antisymmetry_r2_hidden,existence_m1_subset_1,existence_m2_finseq_2,redefinition_m2_finseq_2,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_xcmplx_0,dt_k3_power,dt_k4_finseq_2,dt_k5_ordinal2,dt_k6_margrel1,dt_m1_subset_1,dt_m2_finseq_2,cc10_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,cc16_membered,cc17_membered,cc18_membered,cc19_membered,cc1_margrel1,cc1_membered,cc1_nat_1,cc20_membered,cc2_int_1,cc2_membered,cc2_nat_1,cc2_xreal_0,cc3_membered,cc3_xreal_0,cc4_membered,cc6_membered,cc6_xreal_0,cc7_xreal_0,cc9_membered,fc1_margrel1,fc3_margrel1,fc3_xreal_0,fc5_membered,fc6_membered,fc8_xreal_0,rc1_membered,t1_real,t1_subset,t2_subset,t3_subset,t4_real,t4_subset,t5_subset,commutativity_k1_nat_1,reflexivity_r1_xreal_0,connectedness_r1_xreal_0,existence_m2_subset_1,redefinition_k1_nat_1,redefinition_k3_series_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_binari_3,dt_k1_nat_1,dt_k1_numbers,dt_k3_series_1,dt_k5_numbers,dt_k9_binarith,dt_m2_subset_1,dt_c1_10__binari_4,dt_c2_10__binari_4,dt_c3_10__binari_4,cc15_membered,fc2_membered,rqLessOrEqual__r1_xreal_0__r2_r2,spc2_boole,t6_boole,t7_boole,t8_boole,spc2_boole,spc2_numerals,e3_10__binari_4,t36_binari_3]),
    [interesting(0.65),file(binari_4,e2_10_1__binari_4),[file(binari_4,e2_10_1__binari_4)]]).

fof(e3_10_1__binari_4,plain,(
    k1_nat_1(c2_10__binari_4,k9_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,c3_10__binari_4))) = k1_nat_1(c2_10__binari_4,c3_10__binari_4) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_10__binari_4,dt_c2_10__binari_4,dt_c3_10__binari_4,e1_10__binari_4])],[existence_m1_relset_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_relset_1,existence_m1_finseq_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_m1_finseq_1,dt_m2_relset_1,reflexivity_r1_tarski,existence_m1_finseq_2,existence_m2_finseq_1,redefinition_m2_finseq_1,dt_m1_finseq_2,dt_m2_finseq_1,cc1_xreal_0,cc3_int_1,cc3_nat_1,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc8_xreal_0,fc10_xreal_0,fc11_xreal_0,fc12_xreal_0,fc1_int_1,fc1_nat_1,fc3_nat_1,fc4_nat_1,fc6_int_1,fc7_xreal_0,fc9_xreal_0,rc1_int_1,rc1_margrel1,rc1_nat_1,rc1_xreal_0,rc2_int_1,rc2_margrel1,rc2_nat_1,rc2_xreal_0,rc3_nat_1,rc3_xreal_0,rc4_xreal_0,spc6_arithm,t2_real,t3_real,t5_real,t6_real,t7_real,t8_real,commutativity_k2_xcmplx_0,antisymmetry_r2_hidden,existence_m1_subset_1,existence_m2_finseq_2,redefinition_m2_finseq_2,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_xcmplx_0,dt_k3_power,dt_k4_finseq_2,dt_k5_ordinal2,dt_k6_margrel1,dt_m1_subset_1,dt_m2_finseq_2,cc10_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,cc16_membered,cc17_membered,cc18_membered,cc19_membered,cc1_margrel1,cc1_membered,cc1_nat_1,cc20_membered,cc2_int_1,cc2_membered,cc2_nat_1,cc2_xreal_0,cc3_membered,cc3_xreal_0,cc4_membered,cc6_membered,cc6_xreal_0,cc7_xreal_0,cc9_membered,fc1_margrel1,fc3_margrel1,fc3_xreal_0,fc5_membered,fc6_membered,fc8_xreal_0,rc1_membered,t1_real,t1_subset,t2_subset,t3_subset,t4_real,t4_subset,t5_subset,commutativity_k1_nat_1,reflexivity_r1_xreal_0,connectedness_r1_xreal_0,existence_m2_subset_1,redefinition_k1_nat_1,redefinition_k3_series_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_binari_3,dt_k1_nat_1,dt_k1_numbers,dt_k3_series_1,dt_k5_numbers,dt_k9_binarith,dt_m2_subset_1,dt_c1_10__binari_4,dt_c2_10__binari_4,dt_c3_10__binari_4,cc15_membered,fc2_membered,rqLessOrEqual__r1_xreal_0__r2_r2,spc2_boole,t6_boole,t7_boole,t8_boole,spc2_boole,spc2_numerals,e3_10__binari_4,t36_binari_3]),
    [interesting(0.65),file(binari_4,e3_10_1__binari_4),[file(binari_4,e3_10_1__binari_4)]]).

fof(e5_10__binari_4,plain,(
    k3_real_1(k9_binarith(c1_10__binari_4,k10_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,c2_10__binari_4),k1_binari_3(c1_10__binari_4,c3_10__binari_4))),k2_cqc_lang(k1_numbers,k11_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,c2_10__binari_4),k1_binari_3(c1_10__binari_4,c3_10__binari_4)),k7_margrel1,0,k3_series_1(2,c1_10__binari_4))) = k1_nat_1(c2_10__binari_4,c3_10__binari_4) ),
    inference(iterative_eq,[status(thm),assumptions([dt_c1_10__binari_4,dt_c2_10__binari_4,dt_c3_10__binari_4,e1_10__binari_4])],[dt_k2_zfmisc_1,dt_m1_relset_1,cc1_relset_1,redefinition_m2_relset_1,dt_m1_finseq_1,dt_m2_relset_1,redefinition_m2_finseq_1,dt_k1_zfmisc_1,dt_k5_ordinal2,dt_m1_finseq_2,dt_m2_finseq_1,cc12_membered,cc13_membered,cc14_membered,cc16_membered,cc17_membered,cc18_membered,cc19_membered,cc1_membered,cc1_xreal_0,cc20_membered,cc2_membered,cc2_xreal_0,cc3_int_1,cc3_membered,cc3_nat_1,cc3_xreal_0,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc6_membered,cc6_xreal_0,cc7_xreal_0,cc8_xreal_0,cc9_membered,fc10_xreal_0,fc11_xreal_0,fc12_xreal_0,fc1_int_1,fc1_nat_1,fc3_nat_1,fc3_xreal_0,fc4_nat_1,fc5_membered,fc6_int_1,fc7_xreal_0,fc8_xreal_0,fc9_xreal_0,rc1_int_1,rc1_membered,rc1_nat_1,rc1_xreal_0,rc2_int_1,rc2_margrel1,rc2_nat_1,rc2_xreal_0,rc3_nat_1,rc3_xreal_0,rc4_xreal_0,commutativity_k2_xcmplx_0,redefinition_k5_numbers,redefinition_m2_finseq_2,redefinition_m2_subset_1,dt_k1_cqc_lang,dt_k2_xcmplx_0,dt_k3_power,dt_k4_finseq_2,dt_k5_numbers,dt_k6_margrel1,dt_m1_subset_1,dt_m2_finseq_2,dt_m2_subset_1,cc10_membered,cc11_membered,cc15_membered,cc1_margrel1,cc1_nat_1,cc2_int_1,cc2_nat_1,cc4_membered,fc3_margrel1,commutativity_k1_nat_1,commutativity_k3_real_1,redefinition_k1_nat_1,redefinition_k2_cqc_lang,redefinition_k3_real_1,redefinition_k3_series_1,dt_k10_binarith,dt_k11_binarith,dt_k1_binari_3,dt_k1_nat_1,dt_k1_numbers,dt_k2_cqc_lang,dt_k3_real_1,dt_k3_series_1,dt_k7_margrel1,dt_k9_binarith,dt_c1_10__binari_4,dt_c2_10__binari_4,dt_c3_10__binari_4,fc2_membered,spc0_boole,spc2_boole,spc0_numerals,spc2_numerals,e1_10_1__binari_4,e2_10_1__binari_4,e3_10_1__binari_4]),
    [interesting(0.8),file(binari_4,e5_10__binari_4),[file(binari_4,e5_10__binari_4)]]).

fof(t148_xreal_1,theorem,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ~ r1_xreal_0(A,k6_xcmplx_0(A,1)) ) ),
    file(xreal_1,t148_xreal_1),
    [interesting(0.9),axiom,file(xreal_1,t148_xreal_1)]).

fof(e6_10__binari_4,plain,(
    ~ r1_xreal_0(k3_series_1(2,c1_10__binari_4),k5_real_1(k3_series_1(2,c1_10__binari_4),1)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_10__binari_4])],[reflexivity_r1_tarski,rc1_margrel1,antisymmetry_r2_hidden,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k5_ordinal2,cc10_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,cc16_membered,cc17_membered,cc18_membered,cc19_membered,cc1_membered,cc1_xreal_0,cc20_membered,cc2_membered,cc3_int_1,cc3_membered,cc3_nat_1,cc4_int_1,cc4_membered,cc4_xreal_0,cc5_xreal_0,cc6_membered,cc8_xreal_0,cc9_membered,fc14_xreal_0,fc15_xreal_0,fc16_xreal_0,fc19_xreal_0,fc1_margrel1,fc20_xreal_0,fc3_int_1,fc4_int_1,fc5_membered,fc6_membered,fc8_int_1,rc1_int_1,rc1_membered,rc1_nat_1,rc2_int_1,rc2_nat_1,rc2_xreal_0,rc3_nat_1,rc3_xreal_0,rc4_xreal_0,t1_subset,t2_real,t3_real,t3_subset,t4_subset,t5_real,t5_subset,t6_real,t7_real,t8_real,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_numbers,dt_k3_power,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,cc15_membered,cc1_nat_1,cc2_int_1,cc2_nat_1,cc3_xreal_0,cc6_xreal_0,cc7_xreal_0,fc13_xreal_0,fc17_xreal_0,fc18_xreal_0,fc2_membered,fc5_int_1,fc9_int_1,rc1_xreal_0,spc9_arithm,t1_real,t2_subset,t4_real,t6_boole,t7_boole,t8_boole,involutiveness_k4_xcmplx_0,reflexivity_r1_xreal_0,connectedness_r1_xreal_0,redefinition_k3_series_1,redefinition_k5_real_1,dt_k3_series_1,dt_k4_xcmplx_0,dt_k5_real_1,dt_k6_xcmplx_0,dt_c1_10__binari_4,cc2_xreal_0,fc1_xreal_0,fc5_xreal_0,rqLessOrEqual__r1_xreal_0__r1_rm1,rqLessOrEqual__r1_xreal_0__r1_rm2,rqLessOrEqual__r1_xreal_0__r2_r1,rqLessOrEqual__r1_xreal_0__r2_rm1,rqLessOrEqual__r1_xreal_0__r2_rm2,rqLessOrEqual__r1_xreal_0__rm1_r1,rqLessOrEqual__r1_xreal_0__rm1_r2,rqLessOrEqual__r1_xreal_0__rm1_rm1,rqLessOrEqual__r1_xreal_0__rm1_rm2,rqLessOrEqual__r1_xreal_0__rm2_r1,rqLessOrEqual__r1_xreal_0__rm2_r2,rqLessOrEqual__r1_xreal_0__rm2_rm1,rqLessOrEqual__r1_xreal_0__rm2_rm2,rqRealDiff__k6_xcmplx_0__r1_r2_rm1,rqRealDiff__k6_xcmplx_0__r1_rm1_r2,rqRealDiff__k6_xcmplx_0__r2_r1_r1,rqRealDiff__k6_xcmplx_0__rm1_r1_rm2,rqRealDiff__k6_xcmplx_0__rm1_rm2_r1,rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1,rqRealNeg__k4_xcmplx_0__r2_rm2,rqRealNeg__k4_xcmplx_0__rm1_r1,rqRealNeg__k4_xcmplx_0__rm2_r2,spc1_boole,spc2_boole,spc1_numerals,spc2_numerals,t148_xreal_1,rqRealNeg__k4_xcmplx_0__r1_rm1,rqLessOrEqual__r1_xreal_0__r1_r1,rqLessOrEqual__r1_xreal_0__r1_r2,rqLessOrEqual__r1_xreal_0__r2_r2]),
    [interesting(0.8),file(binari_4,e6_10__binari_4),[file(binari_4,e6_10__binari_4)]]).

fof(t2_xreal_1,theorem,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ! [B] : 
          ( v1_xreal_0(B)
         => ! [C] : 
              ( v1_xreal_0(C)
             => ( ( r1_xreal_0(A,B)
                  & r1_xreal_0(B,C) )
               => r1_xreal_0(A,C) ) ) ) ) ),
    file(xreal_1,t2_xreal_1),
    [interesting(0.9),axiom,file(xreal_1,t2_xreal_1)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rm1_rm1,theorem,(
    k7_xcmplx_0(1,k4_xcmplx_0(1)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rm1_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rm1_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0,theorem,(
    k6_xcmplx_0(1,1) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_r1_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_r1_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_rm1_r0,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(1)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rm1_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rm1_r0)]).

fof(rqRealNeg__k4_xcmplx_0__r0_r0,theorem,(
    k4_xcmplx_0(0) = 0 ),
    file(arithm,rqRealNeg__k4_xcmplx_0__r0_r0),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__r0_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_r2_rm3,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),2) = k4_xcmplx_0(3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_r2_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_r2_rm3)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),0) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_r0_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_r0_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__r2_r0_r2,theorem,(
    k6_xcmplx_0(2,0) = 2 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r2_r0_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r2_r0_r2)]).

fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1,theorem,(
    k6_xcmplx_0(1,0) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_r0_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_r0_r1)]).

fof(rqLessOrEqual__r1_xreal_0__r0_r2,theorem,(
    r1_xreal_0(0,2) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_r2),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_r2)]).

fof(rqLessOrEqual__r1_xreal_0__r0_r1,theorem,(
    r1_xreal_0(0,1) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_r1),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_r1)]).

fof(rqLessOrEqual__r1_xreal_0__r0_r0,theorem,(
    r1_xreal_0(0,0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r0_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r0_r0)]).

fof(rqLessOrEqual__r1_xreal_0__r2_r0,theorem,(
    ~ r1_xreal_0(2,0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r2_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r2_r0)]).

fof(rqLessOrEqual__r1_xreal_0__r1_r0,theorem,(
    ~ r1_xreal_0(1,0) ),
    file(arithm,rqLessOrEqual__r1_xreal_0__r1_r0),
    [interesting(0.9),axiom,file(arithm,rqLessOrEqual__r1_xreal_0__r1_r0)]).

fof(e8_10__binari_4,plain,(
    ~ $true ),
    inference(mizar_by,[status(thm),assumptions([e2_10__binari_4,dt_c2_10__binari_4,dt_c3_10__binari_4,e1_10__binari_4,dt_c1_10__binari_4])],[existence_m1_relset_1,dt_k2_zfmisc_1,dt_m1_relset_1,cc1_relset_1,reflexivity_r1_tarski,existence_m1_finseq_1,existence_m2_relset_1,redefinition_m2_relset_1,dt_m1_finseq_1,dt_m2_relset_1,rc1_margrel1,antisymmetry_r2_hidden,existence_m1_finseq_2,existence_m2_finseq_1,redefinition_m2_finseq_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k5_ordinal2,dt_m1_finseq_2,dt_m2_finseq_1,cc12_membered,cc13_membered,cc14_membered,cc16_membered,cc17_membered,cc18_membered,cc19_membered,cc1_membered,cc1_xreal_0,cc20_membered,cc2_membered,cc3_int_1,cc3_membered,cc3_nat_1,cc4_int_1,cc4_xreal_0,cc5_xreal_0,cc6_membered,cc8_xreal_0,cc9_membered,fc10_xreal_0,fc11_xreal_0,fc12_xreal_0,fc14_xreal_0,fc15_xreal_0,fc16_xreal_0,fc19_xreal_0,fc1_int_1,fc1_margrel1,fc1_nat_1,fc20_xreal_0,fc27_xreal_0,fc28_xreal_0,fc29_xreal_0,fc3_int_1,fc3_nat_1,fc4_int_1,fc4_nat_1,fc5_membered,fc6_int_1,fc6_membered,fc7_xreal_0,fc8_int_1,fc9_xreal_0,rc1_int_1,rc1_membered,rc1_nat_1,rc2_int_1,rc2_margrel1,rc2_nat_1,rc2_xreal_0,rc3_nat_1,rc3_xreal_0,rc4_xreal_0,t1_subset,t2_real,t3_real,t3_subset,t4_subset,t5_real,t5_subset,t6_real,t7_real,t8_real,commutativity_k2_xcmplx_0,existence_m1_subset_1,existence_m2_finseq_2,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_finseq_2,redefinition_m2_subset_1,dt_k1_cqc_lang,dt_k2_xcmplx_0,dt_k3_power,dt_k4_finseq_2,dt_k5_numbers,dt_k6_margrel1,dt_m1_subset_1,dt_m2_finseq_2,dt_m2_subset_1,cc10_membered,cc11_membered,cc15_membered,cc1_margrel1,cc1_nat_1,cc2_int_1,cc2_nat_1,cc3_xreal_0,cc4_membered,cc6_xreal_0,cc7_xreal_0,fc13_xreal_0,fc17_xreal_0,fc18_xreal_0,fc30_xreal_0,fc3_margrel1,fc3_xreal_0,fc5_int_1,fc8_xreal_0,fc9_int_1,rc1_xreal_0,rqRealAdd__k2_xcmplx_0__r0_r0_r0,rqRealAdd__k2_xcmplx_0__r0_r1_r1,rqRealAdd__k2_xcmplx_0__r0_r2_r2,rqRealAdd__k2_xcmplx_0__r0_r3_r3,rqRealAdd__k2_xcmplx_0__r0_rm1_rm1,rqRealAdd__k2_xcmplx_0__r0_rm2_rm2,rqRealAdd__k2_xcmplx_0__r0_rm3_rm3,rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2,rqRealAdd__k2_xcmplx_0__r0_rn2d3_rn2d3,rqRealAdd__k2_xcmplx_0__r0_rn3d2_rn3d2,rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2,rqRealAdd__k2_xcmplx_0__r1_r0_r1,rqRealAdd__k2_xcmplx_0__r1_r1_r2,rqRealAdd__k2_xcmplx_0__r1_r2_r3,rqRealAdd__k2_xcmplx_0__r1_rm1_r0,rqRealAdd__k2_xcmplx_0__r1_rm2_rm1,rqRealAdd__k2_xcmplx_0__r1_rm3_rm2,rqRealAdd__k2_xcmplx_0__r1_rn1d2_rn3d2,rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2,rqRealAdd__k2_xcmplx_0__r1_rnm1d3_rn2d3,rqRealAdd__k2_xcmplx_0__r1_rnm2d3_rn1d3,rqRealAdd__k2_xcmplx_0__r1_rnm3d2_rnm1d2,rqRealAdd__k2_xcmplx_0__r2_r0_r2,rqRealAdd__k2_xcmplx_0__r2_r1_r3,rqRealAdd__k2_xcmplx_0__r2_rm1_r1,rqRealAdd__k2_xcmplx_0__r2_rm2_r0,rqRealAdd__k2_xcmplx_0__r2_rm3_rm1,rqRealAdd__k2_xcmplx_0__r2_rnm1d2_rn3d2,rqRealAdd__k2_xcmplx_0__r2_rnm3d2_rn1d2,rqRealAdd__k2_xcmplx_0__r3_r0_r3,rqRealAdd__k2_xcmplx_0__r3_rm1_r2,rqRealAdd__k2_xcmplx_0__r3_rm2_r1,rqRealAdd__k2_xcmplx_0__r3_rm3_r0,rqRealAdd__k2_xcmplx_0__rm1_r0_rm1,rqRealAdd__k2_xcmplx_0__rm1_r1_r0,rqRealAdd__k2_xcmplx_0__rm1_r2_r1,rqRealAdd__k2_xcmplx_0__rm1_r3_r2,rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2,rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3,rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2,rqRealAdd__k2_xcmplx_0__rm1_rn2d3_rnm1d3,rqRealAdd__k2_xcmplx_0__rm1_rn3d2_rn1d2,rqRealAdd__k2_xcmplx_0__rm1_rnm1d2_rnm3d2,rqRealAdd__k2_xcmplx_0__rm2_r0_rm2,rqRealAdd__k2_xcmplx_0__rm2_r1_rm1,rqRealAdd__k2_xcmplx_0__rm2_r2_r0,rqRealAdd__k2_xcmplx_0__rm2_r3_r1,rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3,rqRealAdd__k2_xcmplx_0__rm2_rn3d2_rnm1d2,rqRealAdd__k2_xcmplx_0__rm3_r1_rm2,rqRealAdd__k2_xcmplx_0__rm3_r2_rm1,rqRealAdd__k2_xcmplx_0__rm3_r3_r0,rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2,rqRealAdd__k2_xcmplx_0__rn1d2_r1_rn3d2,rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2,rqRealAdd__k2_xcmplx_0__rn1d2_rm2_rnm3d2,rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1,rqRealAdd__k2_xcmplx_0__rn1d2_rn3d2_r2,rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0,rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d2_rm1,rqRealAdd__k2_xcmplx_0__rn1d3_rn1d3_rn2d3,rqRealAdd__k2_xcmplx_0__rn1d3_rn2d3_r1,rqRealAdd__k2_xcmplx_0__rn1d3_rnm1d3_r0,rqRealAdd__k2_xcmplx_0__rn1d3_rnm2d3_rnm1d3,rqRealAdd__k2_xcmplx_0__rn2d3_r0_rn2d3,rqRealAdd__k2_xcmplx_0__rn2d3_rn1d3_r1,rqRealAdd__k2_xcmplx_0__rn2d3_rnm1d3_rn1d3,rqRealAdd__k2_xcmplx_0__rn2d3_rnm2d3_r0,rqRealAdd__k2_xcmplx_0__rn3d2_r0_rn3d2,rqRealAdd__k2_xcmplx_0__rn3d2_rm1_rn1d2,rqRealAdd__k2_xcmplx_0__rn3d2_rm2_rnm1d2,rqRealAdd__k2_xcmplx_0__rn3d2_rn1d2_r2,rqRealAdd__k2_xcmplx_0__rn3d2_rn3d2_r3,rqRealAdd__k2_xcmplx_0__rn3d2_rnm1d2_r1,rqRealAdd__k2_xcmplx_0__rn3d2_rnm3d2_r0,rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2,rqRealAdd__k2_xcmplx_0__rnm1d2_r2_rn3d2,rqRealAdd__k2_xcmplx_0__rnm1d2_rm1_rnm3d2,rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0,rqRealAdd__k2_xcmplx_0__rnm1d2_rn3d2_r1,rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1,rqRealAdd__k2_xcmplx_0__rnm1d2_rnm3d2_rm2,rqRealAdd__k2_xcmplx_0__rnm1d3_r1_rn2d3,rqRealAdd__k2_xcmplx_0__rnm1d3_rn1d3_r0,rqRealAdd__k2_xcmplx_0__rnm1d3_rn2d3_rn1d3,rqRealAdd__k2_xcmplx_0__rnm1d3_rnm1d3_rnm2d3,rqRealAdd__k2_xcmplx_0__rnm1d3_rnm2d3_rm1,rqRealAdd__k2_xcmplx_0__rnm2d3_rn2d3_r0,rqRealAdd__k2_xcmplx_0__rnm2d3_rnm1d3_rm1,rqRealAdd__k2_xcmplx_0__rnm3d2_r2_rn1d2,rqRealAdd__k2_xcmplx_0__rnm3d2_rn3d2_r0,spc1_arithm,spc6_arithm,spc8_arithm,spc9_arithm,t1_arithm,t1_numerals,t1_real,t2_subset,t4_arithm,t4_real,t5_arithm,t6_arithm,t6_boole,t7_boole,t8_boole,commutativity_k1_nat_1,commutativity_k3_real_1,involutiveness_k4_xcmplx_0,reflexivity_r1_xreal_0,connectedness_r1_xreal_0,redefinition_k1_nat_1,redefinition_k2_cqc_lang,redefinition_k3_real_1,redefinition_k3_series_1,redefinition_k5_real_1,dt_k10_binarith,dt_k11_binarith,dt_k1_binari_3,dt_k1_nat_1,dt_k1_numbers,dt_k2_cqc_lang,dt_k3_real_1,dt_k3_series_1,dt_k4_xcmplx_0,dt_k5_real_1,dt_k6_xcmplx_0,dt_k7_margrel1,dt_k7_xcmplx_0,dt_k9_binarith,dt_c1_10__binari_4,dt_c2_10__binari_4,dt_c3_10__binari_4,cc2_xreal_0,fc1_xreal_0,fc2_membered,fc5_xreal_0,fc6_xreal_0,rqLessOrEqual__r1_xreal_0__r0_r3,rqLessOrEqual__r1_xreal_0__r0_rm1,rqLessOrEqual__r1_xreal_0__r0_rm2,rqLessOrEqual__r1_xreal_0__r0_rm3,rqLessOrEqual__r1_xreal_0__r0_rn1d2,rqLessOrEqual__r1_xreal_0__r0_rn1d3,rqLessOrEqual__r1_xreal_0__r0_rn2d3,rqLessOrEqual__r1_xreal_0__r0_rn3d2,rqLessOrEqual__r1_xreal_0__r0_rnm1d2,rqLessOrEqual__r1_xreal_0__r0_rnm1d3,rqLessOrEqual__r1_xreal_0__r1_r3,rqLessOrEqual__r1_xreal_0__r1_rm1,rqLessOrEqual__r1_xreal_0__r1_rm2,rqLessOrEqual__r1_xreal_0__r1_rm3,rqLessOrEqual__r1_xreal_0__r1_rn1d2,rqLessOrEqual__r1_xreal_0__r1_rn1d3,rqLessOrEqual__r1_xreal_0__r1_rn2d3,rqLessOrEqual__r1_xreal_0__r1_rn3d2,rqLessOrEqual__r1_xreal_0__r1_rnm1d2,rqLessOrEqual__r1_xreal_0__r1_rnm1d3,rqLessOrEqual__r1_xreal_0__r1_rnm3d2,rqLessOrEqual__r1_xreal_0__r2_r3,rqLessOrEqual__r1_xreal_0__r2_rm1,rqLessOrEqual__r1_xreal_0__r2_rm2,rqLessOrEqual__r1_xreal_0__r2_rm3,rqLessOrEqual__r1_xreal_0__r2_rn1d2,rqLessOrEqual__r1_xreal_0__r2_rn1d3,rqLessOrEqual__r1_xreal_0__r2_rn2d3,rqLessOrEqual__r1_xreal_0__r2_rn3d2,rqLessOrEqual__r1_xreal_0__r2_rnm1d2,rqLessOrEqual__r1_xreal_0__r2_rnm1d3,rqLessOrEqual__r1_xreal_0__r2_rnm3d2,rqLessOrEqual__r1_xreal_0__r3_r0,rqLessOrEqual__r1_xreal_0__r3_r1,rqLessOrEqual__r1_xreal_0__r3_r2,rqLessOrEqual__r1_xreal_0__r3_r3,rqLessOrEqual__r1_xreal_0__r3_rm1,rqLessOrEqual__r1_xreal_0__r3_rm2,rqLessOrEqual__r1_xreal_0__r3_rm3,rqLessOrEqual__r1_xreal_0__r3_rn1d2,rqLessOrEqual__r1_xreal_0__r3_rn1d3,rqLessOrEqual__r1_xreal_0__r3_rn2d3,rqLessOrEqual__r1_xreal_0__r3_rn3d2,rqLessOrEqual__r1_xreal_0__r3_rnm1d2,rqLessOrEqual__r1_xreal_0__r3_rnm1d3,rqLessOrEqual__r1_xreal_0__rm1_r0,rqLessOrEqual__r1_xreal_0__rm1_r1,rqLessOrEqual__r1_xreal_0__rm1_r2,rqLessOrEqual__r1_xreal_0__rm1_r3,rqLessOrEqual__r1_xreal_0__rm1_rm1,rqLessOrEqual__r1_xreal_0__rm1_rm2,rqLessOrEqual__r1_xreal_0__rm1_rm3,rqLessOrEqual__r1_xreal_0__rm1_rn1d2,rqLessOrEqual__r1_xreal_0__rm1_rn1d3,rqLessOrEqual__r1_xreal_0__rm1_rn2d3,rqLessOrEqual__r1_xreal_0__rm1_rn3d2,rqLessOrEqual__r1_xreal_0__rm1_rnm1d2,rqLessOrEqual__r1_xreal_0__rm1_rnm1d3,rqLessOrEqual__r1_xreal_0__rm1_rnm3d2,rqLessOrEqual__r1_xreal_0__rm2_r0,rqLessOrEqual__r1_xreal_0__rm2_r1,rqLessOrEqual__r1_xreal_0__rm2_r2,rqLessOrEqual__r1_xreal_0__rm2_r3,rqLessOrEqual__r1_xreal_0__rm2_rm1,rqLessOrEqual__r1_xreal_0__rm2_rm2,rqLessOrEqual__r1_xreal_0__rm3_r0,rqLessOrEqual__r1_xreal_0__rm3_r1,rqLessOrEqual__r1_xreal_0__rm3_r2,rqLessOrEqual__r1_xreal_0__rm3_r3,rqLessOrEqual__r1_xreal_0__rm3_rm1,rqLessOrEqual__r1_xreal_0__rm3_rm3,rqLessOrEqual__r1_xreal_0__rm3_rn1d2,rqLessOrEqual__r1_xreal_0__rn1d2_r0,rqLessOrEqual__r1_xreal_0__rn1d2_r1,rqLessOrEqual__r1_xreal_0__rn1d2_r2,rqLessOrEqual__r1_xreal_0__rn1d2_r3,rqLessOrEqual__r1_xreal_0__rn1d2_rm1,rqLessOrEqual__r1_xreal_0__rn1d2_rm3,rqLessOrEqual__r1_xreal_0__rn1d2_rn1d2,rqLessOrEqual__r1_xreal_0__rn1d2_rn3d2,rqLessOrEqual__r1_xreal_0__rn1d2_rnm1d2,rqLessOrEqual__r1_xreal_0__rn1d3_r0,rqLessOrEqual__r1_xreal_0__rn1d3_r1,rqLessOrEqual__r1_xreal_0__rn1d3_r2,rqLessOrEqual__r1_xreal_0__rn1d3_r3,rqLessOrEqual__r1_xreal_0__rn1d3_rm1,rqLessOrEqual__r1_xreal_0__rn1d3_rn1d3,rqLessOrEqual__r1_xreal_0__rn1d3_rn2d3,rqLessOrEqual__r1_xreal_0__rn1d3_rnm1d3,rqLessOrEqual__r1_xreal_0__rn2d3_r0,rqLessOrEqual__r1_xreal_0__rn2d3_r1,rqLessOrEqual__r1_xreal_0__rn2d3_r2,rqLessOrEqual__r1_xreal_0__rn2d3_r3,rqLessOrEqual__r1_xreal_0__rn2d3_rm1,rqLessOrEqual__r1_xreal_0__rn2d3_rn1d3,rqLessOrEqual__r1_xreal_0__rn2d3_rn2d3,rqLessOrEqual__r1_xreal_0__rn2d3_rnm1d3,rqLessOrEqual__r1_xreal_0__rn3d2_r0,rqLessOrEqual__r1_xreal_0__rn3d2_r1,rqLessOrEqual__r1_xreal_0__rn3d2_r2,rqLessOrEqual__r1_xreal_0__rn3d2_r3,rqLessOrEqual__r1_xreal_0__rn3d2_rm1,rqLessOrEqual__r1_xreal_0__rn3d2_rn1d2,rqLessOrEqual__r1_xreal_0__rn3d2_rn3d2,rqLessOrEqual__r1_xreal_0__rn3d2_rnm1d2,rqLessOrEqual__r1_xreal_0__rnm1d2_r0,rqLessOrEqual__r1_xreal_0__rnm1d2_r1,rqLessOrEqual__r1_xreal_0__rnm1d2_r2,rqLessOrEqual__r1_xreal_0__rnm1d2_r3,rqLessOrEqual__r1_xreal_0__rnm1d2_rm1,rqLessOrEqual__r1_xreal_0__rnm1d2_rn1d2,rqLessOrEqual__r1_xreal_0__rnm1d2_rn3d2,rqLessOrEqual__r1_xreal_0__rnm1d2_rnm1d2,rqLessOrEqual__r1_xreal_0__rnm1d3_r0,rqLessOrEqual__r1_xreal_0__rnm1d3_r1,rqLessOrEqual__r1_xreal_0__rnm1d3_r2,rqLessOrEqual__r1_xreal_0__rnm1d3_r3,rqLessOrEqual__r1_xreal_0__rnm1d3_rm1,rqLessOrEqual__r1_xreal_0__rnm1d3_rn1d3,rqLessOrEqual__r1_xreal_0__rnm1d3_rn2d3,rqLessOrEqual__r1_xreal_0__rnm1d3_rnm1d3,rqRealDiff__k6_xcmplx_0__r0_r0_r0,rqRealDiff__k6_xcmplx_0__r0_r1_rm1,rqRealDiff__k6_xcmplx_0__r0_r2_rm2,rqRealDiff__k6_xcmplx_0__r0_r3_rm3,rqRealDiff__k6_xcmplx_0__r0_rm1_r1,rqRealDiff__k6_xcmplx_0__r0_rm2_r2,rqRealDiff__k6_xcmplx_0__r0_rm3_r3,rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2,rqRealDiff__k6_xcmplx_0__r0_rn1d3_rnm1d3,rqRealDiff__k6_xcmplx_0__r0_rn2d3_rnm2d3,rqRealDiff__k6_xcmplx_0__r0_rn3d2_rnm3d2,rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2,rqRealDiff__k6_xcmplx_0__r0_rnm2d3_rn2d3,rqRealDiff__k6_xcmplx_0__r1_r2_rm1,rqRealDiff__k6_xcmplx_0__r1_r3_rm2,rqRealDiff__k6_xcmplx_0__r1_rm1_r2,rqRealDiff__k6_xcmplx_0__r1_rm2_r3,rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2,rqRealDiff__k6_xcmplx_0__r1_rn1d3_rn2d3,rqRealDiff__k6_xcmplx_0__r1_rn2d3_rn1d3,rqRealDiff__k6_xcmplx_0__r1_rn3d2_rnm1d2,rqRealDiff__k6_xcmplx_0__r1_rnm1d2_rn3d2,rqRealDiff__k6_xcmplx_0__r2_r2_r0,rqRealDiff__k6_xcmplx_0__r2_r3_rm1,rqRealDiff__k6_xcmplx_0__r2_rm1_r3,rqRealDiff__k6_xcmplx_0__r2_rn1d2_rn3d2,rqRealDiff__k6_xcmplx_0__r2_rn3d2_rn1d2,rqRealDiff__k6_xcmplx_0__r3_r0_r3,rqRealDiff__k6_xcmplx_0__r3_r1_r2,rqRealDiff__k6_xcmplx_0__r3_r2_r1,rqRealDiff__k6_xcmplx_0__r3_r3_r0,rqRealDiff__k6_xcmplx_0__r3_rn3d2_rn3d2,rqRealDiff__k6_xcmplx_0__rm1_rm2_r1,rqRealDiff__k6_xcmplx_0__rm1_rm3_r2,rqRealDiff__k6_xcmplx_0__rm1_rn1d2_rnm3d2,rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2,rqRealDiff__k6_xcmplx_0__rm1_rnm1d3_rnm2d3,rqRealDiff__k6_xcmplx_0__rm1_rnm2d3_rnm1d3,rqRealDiff__k6_xcmplx_0__rm1_rnm3d2_rn1d2,rqRealDiff__k6_xcmplx_0__rm2_r0_rm2,rqRealDiff__k6_xcmplx_0__rm2_r1_rm3,rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1,rqRealDiff__k6_xcmplx_0__rm2_rm2_r0,rqRealDiff__k6_xcmplx_0__rm2_rm3_r1,rqRealDiff__k6_xcmplx_0__rm2_rnm1d2_rnm3d2,rqRealDiff__k6_xcmplx_0__rm2_rnm3d2_rnm1d2,rqRealDiff__k6_xcmplx_0__rm3_r0_rm3,rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2,rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1,rqRealDiff__k6_xcmplx_0__rm3_rm3_r0,rqRealDiff__k6_xcmplx_0__rm3_rnm3d2_rnm3d2,rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2,rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2,rqRealDiff__k6_xcmplx_0__rn1d2_r2_rnm3d2,rqRealDiff__k6_xcmplx_0__rn1d2_rm1_rn3d2,rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0,rqRealDiff__k6_xcmplx_0__rn1d2_rn3d2_rm1,rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1,rqRealDiff__k6_xcmplx_0__rn1d2_rnm3d2_r2,rqRealDiff__k6_xcmplx_0__rn1d3_r0_rn1d3,rqRealDiff__k6_xcmplx_0__rn1d3_r1_rnm2d3,rqRealDiff__k6_xcmplx_0__rn1d3_rn1d3_r0,rqRealDiff__k6_xcmplx_0__rn1d3_rn2d3_rnm1d3,rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d3_rn2d3,rqRealDiff__k6_xcmplx_0__rn1d3_rnm2d3_r1,rqRealDiff__k6_xcmplx_0__rn2d3_r0_rn2d3,rqRealDiff__k6_xcmplx_0__rn2d3_r1_rnm1d3,rqRealDiff__k6_xcmplx_0__rn2d3_rn1d3_rn1d3,rqRealDiff__k6_xcmplx_0__rn2d3_rn2d3_r0,rqRealDiff__k6_xcmplx_0__rn2d3_rnm1d3_r1,rqRealDiff__k6_xcmplx_0__rn3d2_r0_rn3d2,rqRealDiff__k6_xcmplx_0__rn3d2_r1_rn1d2,rqRealDiff__k6_xcmplx_0__rn3d2_r2_rnm1d2,rqRealDiff__k6_xcmplx_0__rn3d2_r3_rnm3d2,rqRealDiff__k6_xcmplx_0__rn3d2_rn1d2_r1,rqRealDiff__k6_xcmplx_0__rn3d2_rn3d2_r0,rqRealDiff__k6_xcmplx_0__rn3d2_rnm1d2_r2,rqRealDiff__k6_xcmplx_0__rn3d2_rnm3d2_r3,rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2,rqRealDiff__k6_xcmplx_0__rnm1d2_r1_rnm3d2,rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2,rqRealDiff__k6_xcmplx_0__rnm1d2_rm2_rn3d2,rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1,rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d2_rm2,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d2_r1,rqRealDiff__k6_xcmplx_0__rnm1d3_r0_rnm1d3,rqRealDiff__k6_xcmplx_0__rnm1d3_rm1_rn2d3,rqRealDiff__k6_xcmplx_0__rnm1d3_rn1d3_rnm2d3,rqRealDiff__k6_xcmplx_0__rnm1d3_rn2d3_rm1,rqRealDiff__k6_xcmplx_0__rnm1d3_rnm1d3_r0,rqRealDiff__k6_xcmplx_0__rnm1d3_rnm2d3_rn1d3,rqRealDiff__k6_xcmplx_0__rnm2d3_rm1_rn1d3,rqRealDiff__k6_xcmplx_0__rnm2d3_rn1d3_rm1,rqRealDiff__k6_xcmplx_0__rnm2d3_rnm1d3_rnm1d3,rqRealDiff__k6_xcmplx_0__rnm2d3_rnm2d3_r0,rqRealDiff__k6_xcmplx_0__rnm3d2_rm1_rnm1d2,rqRealDiff__k6_xcmplx_0__rnm3d2_rm2_rn1d2,rqRealDiff__k6_xcmplx_0__rnm3d2_rm3_rn3d2,rqRealDiff__k6_xcmplx_0__rnm3d2_rn1d2_rm2,rqRealDiff__k6_xcmplx_0__rnm3d2_rn3d2_rm3,rqRealDiff__k6_xcmplx_0__rnm3d2_rnm1d2_rm1,rqRealDiff__k6_xcmplx_0__rnm3d2_rnm3d2_r0,rqRealDiv__k7_xcmplx_0__r0_r1_r0,rqRealDiv__k7_xcmplx_0__r0_r2_r0,rqRealDiv__k7_xcmplx_0__r0_r3_r0,rqRealDiv__k7_xcmplx_0__r1_r1_r1,rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2,rqRealDiv__k7_xcmplx_0__r1_r3_rn1d3,rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2,rqRealDiv__k7_xcmplx_0__r1_rm3_rnm1d3,rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2,rqRealDiv__k7_xcmplx_0__r1_rn1d3_r3,rqRealDiv__k7_xcmplx_0__r1_rn3d2_rn2d3,rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2,rqRealDiv__k7_xcmplx_0__r1_rnm1d3_rm3,rqRealDiv__k7_xcmplx_0__r1_rnm2d3_rnm3d2,rqRealDiv__k7_xcmplx_0__r1_rnm3d2_rnm2d3,rqRealDiv__k7_xcmplx_0__r2_r1_r2,rqRealDiv__k7_xcmplx_0__r2_r2_r1,rqRealDiv__k7_xcmplx_0__r2_r3_rn2d3,rqRealDiv__k7_xcmplx_0__r3_r2_rn3d2,rqRealDiv__k7_xcmplx_0__r3_r3_r1,rqRealDiv__k7_xcmplx_0__rm1_r1_rm1,rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2,rqRealNeg__k4_xcmplx_0__r3_rm3,rqRealNeg__k4_xcmplx_0__rm2_r2,rqRealNeg__k4_xcmplx_0__rm3_r3,rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2,rqRealNeg__k4_xcmplx_0__rn1d3_rnm1d3,rqRealNeg__k4_xcmplx_0__rn2d3_rnm2d3,rqRealNeg__k4_xcmplx_0__rn3d2_rnm3d2,rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2,rqRealNeg__k4_xcmplx_0__rnm1d3_rn1d3,rqRealNeg__k4_xcmplx_0__rnm2d3_rn2d3,rqRealNeg__k4_xcmplx_0__rnm3d2_rn3d2,spc0_boole,spc1_boole,spc2_boole,spc3_boole,spc0_numerals,spc1_numerals,spc2_numerals,spc3_numerals,e7_10__binari_4,e1_10__binari_4,e4_10__binari_4,e5_10__binari_4,e6_10__binari_4,t2_xreal_1,rqRealNeg__k4_xcmplx_0__r1_rm1,rqRealDiv__k7_xcmplx_0__r1_rm1_rm1,rqRealNeg__k4_xcmplx_0__rm1_r1,rqRealDiff__k6_xcmplx_0__r1_r1_r0,rqRealDiff__k6_xcmplx_0__rm1_rm1_r0,rqRealNeg__k4_xcmplx_0__r2_rm2,rqRealDiff__k6_xcmplx_0__rm1_r1_rm2,rqRealNeg__k4_xcmplx_0__r0_r0,rqRealDiff__k6_xcmplx_0__rm1_r2_rm3,rqRealDiff__k6_xcmplx_0__rm1_r0_rm1,rqRealDiff__k6_xcmplx_0__r2_r1_r1,rqRealDiff__k6_xcmplx_0__r2_r0_r2,rqRealDiff__k6_xcmplx_0__r1_r0_r1,rqLessOrEqual__r1_xreal_0__r2_r2,rqLessOrEqual__r1_xreal_0__r1_r2,rqLessOrEqual__r1_xreal_0__r1_r1,rqLessOrEqual__r1_xreal_0__r0_r2,rqLessOrEqual__r1_xreal_0__r0_r1,rqLessOrEqual__r1_xreal_0__r0_r0,rqLessOrEqual__r1_xreal_0__r2_r1,rqLessOrEqual__r1_xreal_0__r2_r0,rqLessOrEqual__r1_xreal_0__r1_r0]),
    [interesting(0.8),file(binari_4,e8_10__binari_4),[file(binari_4,e8_10__binari_4)]]).

fof(i6_10__binari_4,theorem,(
    $true ),
    introduced(tautology,[file(binari_4,i6_10__binari_4)]),
    [interesting(0.8),trivial,file(binari_4,i6_10__binari_4)]).

fof(i5_10__binari_4,plain,(
    ~ $true ),
    inference(conclusion,[status(thm),assumptions([e2_10__binari_4,dt_c2_10__binari_4,dt_c3_10__binari_4,e1_10__binari_4,dt_c1_10__binari_4])],[e8_10__binari_4,i6_10__binari_4]),
    [interesting(0.8),file(binari_4,i5_10__binari_4),[file(binari_4,i5_10__binari_4)]]).

fof(i4_10__binari_4,plain,(
    k11_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,c2_10__binari_4),k1_binari_3(c1_10__binari_4,c3_10__binari_4)) = k7_margrel1 ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_10__binari_4,dt_c3_10__binari_4,e1_10__binari_4,dt_c1_10__binari_4]),discharge_asm(discharge,[e2_10__binari_4])],[e2_10__binari_4,i5_10__binari_4]),
    [interesting(0.8),file(binari_4,i4_10__binari_4),[file(binari_4,i4_10__binari_4)]]).

fof(i3_10__binari_4,plain,
    ( r1_xreal_0(k1_nat_1(c2_10__binari_4,c3_10__binari_4),k5_real_1(k3_series_1(2,c1_10__binari_4),1))
   => k11_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,c2_10__binari_4),k1_binari_3(c1_10__binari_4,c3_10__binari_4)) = k7_margrel1 ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_10__binari_4,dt_c3_10__binari_4,dt_c1_10__binari_4]),discharge_asm(discharge,[e1_10__binari_4])],[e1_10__binari_4,i4_10__binari_4]),
    [interesting(0.8),file(binari_4,i3_10__binari_4),[file(binari_4,i3_10__binari_4)]]).

fof(i3_10_tmp__binari_4,plain,
    ( m2_subset_1(c3_10__binari_4,k1_numbers,k5_numbers)
   => ( r1_xreal_0(k1_nat_1(c2_10__binari_4,c3_10__binari_4),k5_real_1(k3_series_1(2,c1_10__binari_4),1))
     => k11_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,c2_10__binari_4),k1_binari_3(c1_10__binari_4,c3_10__binari_4)) = k7_margrel1 ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_10__binari_4,dt_c1_10__binari_4]),discharge_asm(discharge,[dt_c3_10__binari_4])],[dt_c3_10__binari_4,i3_10__binari_4]),
    [interesting(0.8),i2_10__binari_4]).

fof(i2_10__binari_4,plain,(
    ! [A] : 
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ( r1_xreal_0(k1_nat_1(c2_10__binari_4,A),k5_real_1(k3_series_1(2,c1_10__binari_4),1))
       => k11_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,c2_10__binari_4),k1_binari_3(c1_10__binari_4,A)) = k7_margrel1 ) ) ),
    inference(let,[status(thm),assumptions([dt_c2_10__binari_4,dt_c1_10__binari_4])],[i3_10_tmp__binari_4,dh_c3_10__binari_4]),
    [interesting(0.8),file(binari_4,i2_10__binari_4),[file(binari_4,i2_10__binari_4)]]).

fof(i2_10_tmp__binari_4,plain,
    ( m2_subset_1(c2_10__binari_4,k1_numbers,k5_numbers)
   => ! [A] : 
        ( m2_subset_1(A,k1_numbers,k5_numbers)
       => ( r1_xreal_0(k1_nat_1(c2_10__binari_4,A),k5_real_1(k3_series_1(2,c1_10__binari_4),1))
         => k11_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,c2_10__binari_4),k1_binari_3(c1_10__binari_4,A)) = k7_margrel1 ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_10__binari_4]),discharge_asm(discharge,[dt_c2_10__binari_4])],[dt_c2_10__binari_4,i2_10__binari_4]),
    [interesting(0.8),i1_10__binari_4]).

fof(i1_10__binari_4,plain,(
    ! [A] : 
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] : 
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ( r1_xreal_0(k1_nat_1(A,B),k5_real_1(k3_series_1(2,c1_10__binari_4),1))
           => k11_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,A),k1_binari_3(c1_10__binari_4,B)) = k7_margrel1 ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_10__binari_4])],[i2_10_tmp__binari_4,dh_c2_10__binari_4]),
    [interesting(0.8),file(binari_4,i1_10__binari_4),[file(binari_4,i1_10__binari_4)]]).

fof(i1_10_tmp__binari_4,plain,
    ( ( ~ v1_xboole_0(c1_10__binari_4)
      & m2_subset_1(c1_10__binari_4,k1_numbers,k5_numbers) )
   => ! [A] : 
        ( m2_subset_1(A,k1_numbers,k5_numbers)
       => ! [B] : 
            ( m2_subset_1(B,k1_numbers,k5_numbers)
           => ( r1_xreal_0(k1_nat_1(A,B),k5_real_1(k3_series_1(2,c1_10__binari_4),1))
             => k11_binarith(c1_10__binari_4,k1_binari_3(c1_10__binari_4,A),k1_binari_3(c1_10__binari_4,B)) = k7_margrel1 ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_10__binari_4])],[dt_c1_10__binari_4,i1_10__binari_4]),
    [interesting(1),t10_binari_4]).

fof(t10_binari_4,theorem,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & m2_subset_1(A,k1_numbers,k5_numbers) )
     => ! [B] : 
          ( m2_subset_1(B,k1_numbers,k5_numbers)
         => ! [C] : 
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ( r1_xreal_0(k1_nat_1(B,C),k5_real_1(k3_series_1(2,A),1))
               => k11_binarith(A,k1_binari_3(A,B),k1_binari_3(A,C)) = k7_margrel1 ) ) ) ) ),
    inference(let,[status(thm),assumptions([])],[i1_10_tmp__binari_4,dh_c1_10__binari_4]),
    [interesting(1),file(binari_4,t10_binari_4),[file(binari_4,t10_binari_4)]]).