% Mizar ND problem: t1_abian,abian,94,50 
fof(dh_c1_6__abian,definition,
    ( ( v1_int_1(c1_6__abian)
     => ( ~ ( ~ v1_abian(c1_6__abian)
            & ! [A] : 
                ( v1_int_1(A)
               => c1_6__abian != k2_xcmplx_0(k3_xcmplx_0(2,A),1) ) )
        & ~ ( ? [A] : 
                ( v1_int_1(A)
                & c1_6__abian = k2_xcmplx_0(k3_xcmplx_0(2,A),1) )
            & v1_abian(c1_6__abian) ) ) )
   => ! [B] : 
        ( v1_int_1(B)
       => ( ~ ( ~ v1_abian(B)
              & ! [C] : 
                  ( v1_int_1(C)
                 => B != k2_xcmplx_0(k3_xcmplx_0(2,C),1) ) )
          & ~ ( ? [C] : 
                  ( v1_int_1(C)
                  & B = k2_xcmplx_0(k3_xcmplx_0(2,C),1) )
              & v1_abian(B) ) ) ) ),
    introduced(definition,[new_symbol(c1_6__abian),file(abian,c1_6__abian)]),
    [interesting(0.8),axiom,file(abian,c1_6__abian)]).

fof(e1_6_1__abian,assumption,(
    ~ v1_abian(c1_6__abian) ),
    introduced(assumption,[file(abian,e1_6_1__abian)]),
    [interesting(0.65),axiom,file(abian,e1_6_1__abian)]).

fof(e2_6_1__abian,assumption,(
    ! [A] : 
      ( v1_int_1(A)
     => c1_6__abian != k2_xcmplx_0(k3_xcmplx_0(2,A),1) ) ),
    introduced(assumption,[file(abian,e2_6_1__abian)]),
    [interesting(0.65),axiom,file(abian,e2_6_1__abian)]).

fof(e1_6_1_1_1__abian,assumption,
    ( c1_6__abian = c1_6_1__abian
    & c1_6_1__abian = k2_nat_1(2,c2_6_1__abian) ),
    introduced(assumption,[file(abian,e1_6_1_1_1__abian)]),
    [interesting(0.35),axiom,file(abian,e1_6_1_1_1__abian)]).

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

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(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(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(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(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_finset_1,theorem,(
    ! [A] : 
      ( v1_finset_1(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => v1_finset_1(B) ) ) ),
    file(finset_1,cc2_finset_1),
    [interesting(0.9),axiom,file(finset_1,cc2_finset_1)]).

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

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(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(fc1_ordinal2,theorem,
    ( v1_ordinal1(k5_ordinal2)
    & v2_ordinal1(k5_ordinal2)
    & v3_ordinal1(k5_ordinal2)
    & ~ v1_xboole_0(k5_ordinal2) ),
    file(ordinal2,fc1_ordinal2),
    [interesting(0.9),axiom,file(ordinal2,fc1_ordinal2)]).

fof(fc1_subset_1,theorem,(
    ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ),
    file(subset_1,fc1_subset_1),
    [interesting(0.9),axiom,file(subset_1,fc1_subset_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_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(rc1_abian,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)
      & v1_abian(A) ) ),
    file(abian,rc1_abian),
    [interesting(0.9),axiom,file(abian,rc1_abian)]).

fof(rc1_finset_1,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_finset_1(A) ) ),
    file(finset_1,rc1_finset_1),
    [interesting(0.9),axiom,file(finset_1,rc1_finset_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_subset_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B) ) ) ),
    file(subset_1,rc1_subset_1),
    [interesting(0.9),axiom,file(subset_1,rc1_subset_1)]).

fof(rc2_abian,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)
      & ~ v1_abian(A) ) ),
    file(abian,rc2_abian),
    [interesting(0.9),axiom,file(abian,rc2_abian)]).

fof(rc2_subset_1,theorem,(
    ! [A] : 
    ? [B] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
      & v1_xboole_0(B) ) ),
    file(subset_1,rc2_subset_1),
    [interesting(0.9),axiom,file(subset_1,rc2_subset_1)]).

fof(rc3_finset_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B)
          & v1_finset_1(B) ) ) ),
    file(finset_1,rc3_finset_1),
    [interesting(0.9),axiom,file(finset_1,rc3_finset_1)]).

fof(rc4_finset_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B)
          & v1_finset_1(B) ) ) ),
    file(finset_1,rc4_finset_1),
    [interesting(0.9),axiom,file(finset_1,rc4_finset_1)]).

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(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_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(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_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_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_numbers,axiom,(
    $true ),
    file(numbers,k1_numbers),
    [interesting(0.9),axiom,file(numbers,k1_numbers)]).

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_m1_subset_1,axiom,(
    $true ),
    file(subset_1,m1_subset_1),
    [interesting(0.9),axiom,file(subset_1,m1_subset_1)]).

fof(dt_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m2_subset_1(C,A,B)
         => m1_subset_1(C,A) ) ) ),
    file(subset_1,m2_subset_1),
    [interesting(0.9),axiom,file(subset_1,m2_subset_1)]).

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_finset_1,theorem,(
    ! [A] : 
      ( v1_xboole_0(A)
     => v1_finset_1(A) ) ),
    file(finset_1,cc1_finset_1),
    [interesting(0.9),axiom,file(finset_1,cc1_finset_1)]).

fof(cc1_funct_1,theorem,(
    ! [A] : 
      ( v1_xboole_0(A)
     => v1_funct_1(A) ) ),
    file(funct_1,cc1_funct_1),
    [interesting(0.9),axiom,file(funct_1,cc1_funct_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(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_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(fc7_int_1,theorem,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & v1_int_1(B) )
     => ( v1_xcmplx_0(k3_xcmplx_0(B,A))
        & v1_xreal_0(k3_xcmplx_0(B,A))
        & v1_int_1(k3_xcmplx_0(B,A)) ) ) ),
    file(int_1,fc7_int_1),
    [interesting(0.9),axiom,file(int_1,fc7_int_1)]).

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_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_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(rc3_abian,theorem,(
    ? [A] : 
      ( v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & v1_int_1(A)
      & v1_abian(A) ) ),
    file(abian,rc3_abian),
    [interesting(0.9),axiom,file(abian,rc3_abian)]).

fof(rc4_abian,theorem,(
    ? [A] : 
      ( v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & v1_int_1(A)
      & ~ v1_abian(A) ) ),
    file(abian,rc4_abian),
    [interesting(0.9),axiom,file(abian,rc4_abian)]).

fof(spc2_arithm,theorem,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => k3_xcmplx_0(A,k4_xcmplx_0(1)) = k4_xcmplx_0(A) ) ),
    file(arithm,spc2_arithm),
    [interesting(0.9),axiom,file(arithm,spc2_arithm)]).

fof(spc7_arithm,theorem,(
    ! [A,B,C] : 
      ( ( v1_xcmplx_0(A)
        & v1_xcmplx_0(B)
        & v1_xcmplx_0(C) )
     => k3_xcmplx_0(k3_xcmplx_0(A,B),C) = k3_xcmplx_0(A,k3_xcmplx_0(B,C)) ) ),
    file(arithm,spc6_arithm),
    [interesting(0.9),axiom,file(arithm,spc6_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_numerals,theorem,(
    m1_subset_1(0,k5_numbers) ),
    file(numerals,t1_numerals),
    [interesting(0.9),axiom,file(numerals,t1_numerals)]).

fof(t2_arithm,theorem,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => k3_xcmplx_0(A,0) = 0 ) ),
    file(arithm,t2_arithm),
    [interesting(0.9),axiom,file(arithm,t2_arithm)]).

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(t3_arithm,theorem,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => k3_xcmplx_0(1,A) = A ) ),
    file(arithm,t3_arithm),
    [interesting(0.9),axiom,file(arithm,t3_arithm)]).

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(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_k2_nat_1,theorem,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => k2_nat_1(A,B) = k2_nat_1(B,A) ) ),
    file(nat_1,k2_nat_1),
    [interesting(0.9),axiom,file(nat_1,k2_nat_1)]).

fof(commutativity_k3_xcmplx_0,theorem,(
    ! [A,B] : 
      ( ( v1_xcmplx_0(A)
        & v1_xcmplx_0(B) )
     => k3_xcmplx_0(A,B) = k3_xcmplx_0(B,A) ) ),
    file(xcmplx_0,k3_xcmplx_0),
    [interesting(0.9),axiom,file(xcmplx_0,k3_xcmplx_0)]).

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(redefinition_k2_nat_1,definition,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => k2_nat_1(A,B) = k3_xcmplx_0(A,B) ) ),
    file(nat_1,k2_nat_1),
    [interesting(0.9),axiom,file(nat_1,k2_nat_1)]).

fof(dt_k2_nat_1,axiom,(
    ! [A,B] : 
      ( ( m1_subset_1(A,k5_numbers)
        & m1_subset_1(B,k5_numbers) )
     => m2_subset_1(k2_nat_1(A,B),k1_numbers,k5_numbers) ) ),
    file(nat_1,k2_nat_1),
    [interesting(0.9),axiom,file(nat_1,k2_nat_1)]).

fof(dt_k3_xcmplx_0,axiom,(
    $true ),
    file(xcmplx_0,k3_xcmplx_0),
    [interesting(0.9),axiom,file(xcmplx_0,k3_xcmplx_0)]).

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_k6_xcmplx_0,axiom,(
    $true ),
    file(xcmplx_0,k6_xcmplx_0),
    [interesting(0.9),axiom,file(xcmplx_0,k6_xcmplx_0)]).

fof(dt_c1_6__abian,assumption,(
    v1_int_1(c1_6__abian) ),
    introduced(assumption,[file(abian,c1_6__abian)]),
    [interesting(0.8),axiom,file(abian,c1_6__abian)]).

fof(dh_c1_6_1__abian,definition,
    ( ~ ! [A] : 
          ( m2_subset_1(A,k1_numbers,k5_numbers)
         => ( c1_6__abian != A
            & c1_6__abian != k4_xcmplx_0(A) ) )
   => ( m2_subset_1(c1_6_1__abian,k1_numbers,k5_numbers)
      & ~ ( c1_6__abian != c1_6_1__abian
          & c1_6__abian != k4_xcmplx_0(c1_6_1__abian) ) ) ),
    introduced(definition,[new_symbol(c1_6_1__abian),file(abian,c1_6_1__abian)]),
    [interesting(0.65),axiom,file(abian,c1_6_1__abian)]).

fof(involutiveness_k1_real_1,theorem,(
    ! [A] : 
      ( m1_subset_1(A,k1_numbers)
     => k1_real_1(k1_real_1(A)) = A ) ),
    file(real_1,k1_real_1),
    [interesting(0.9),axiom,file(real_1,k1_real_1)]).

fof(redefinition_k1_real_1,definition,(
    ! [A] : 
      ( m1_subset_1(A,k1_numbers)
     => k1_real_1(A) = k4_xcmplx_0(A) ) ),
    file(real_1,k1_real_1),
    [interesting(0.9),axiom,file(real_1,k1_real_1)]).

fof(dt_k1_real_1,axiom,(
    ! [A] : 
      ( m1_subset_1(A,k1_numbers)
     => m1_subset_1(k1_real_1(A),k1_numbers) ) ),
    file(real_1,k1_real_1),
    [interesting(0.9),axiom,file(real_1,k1_real_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(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(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(t8_int_1,theorem,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ~ ( v1_int_1(A)
          & ! [B] : 
              ( m2_subset_1(B,k1_numbers,k5_numbers)
             => ( A != B
                & A != k1_real_1(B) ) ) ) ) ),
    file(int_1,t8_int_1),
    [interesting(0.9),axiom,file(int_1,t8_int_1)]).

fof(e3_6_1__abian,plain,(
    ~ ! [A] : 
        ( m2_subset_1(A,k1_numbers,k5_numbers)
       => ( c1_6__abian != A
          & c1_6__abian != k4_xcmplx_0(A) ) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__abian])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,cc12_membered,cc13_membered,cc14_membered,cc18_membered,cc19_membered,cc1_membered,cc20_membered,cc2_finset_1,cc2_membered,cc3_int_1,cc3_membered,fc6_membered,rc1_finset_1,rc1_membered,rc3_finset_1,rc4_finset_1,t1_subset,t4_subset,t5_subset,existence_m1_subset_1,dt_k1_zfmisc_1,dt_k5_ordinal2,dt_m1_subset_1,cc10_membered,cc11_membered,cc15_membered,cc16_membered,cc17_membered,cc1_finset_1,cc1_funct_1,cc2_int_1,cc4_membered,cc6_membered,cc9_membered,fc1_ordinal2,fc1_subset_1,fc5_int_1,fc5_membered,rc1_int_1,rc1_subset_1,rc2_subset_1,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,involutiveness_k1_real_1,involutiveness_k4_xcmplx_0,existence_m2_subset_1,redefinition_k1_real_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_numbers,dt_k1_real_1,dt_k4_xcmplx_0,dt_k5_numbers,dt_m2_subset_1,dt_c1_6__abian,cc4_int_1,fc2_membered,fc3_int_1,rc2_int_1,t8_int_1]),
    [interesting(0.65),file(abian,e3_6_1__abian),[file(abian,e3_6_1__abian)]]).

fof(dt_c1_6_1__abian,plain,(
    m2_subset_1(c1_6_1__abian,k1_numbers,k5_numbers) ),
    inference(consider,[status(thm),assumptions([dt_c1_6__abian])],[dh_c1_6_1__abian,e3_6_1__abian]),
    [interesting(0.65),file(abian,c1_6_1__abian),[file(abian,c1_6_1__abian)]]).

fof(dh_c2_6_1__abian,definition,
    ( ~ ! [A] : 
          ( m2_subset_1(A,k1_numbers,k5_numbers)
         => ( c1_6_1__abian != k2_nat_1(2,A)
            & c1_6_1__abian != k1_nat_1(k2_nat_1(2,A),1) ) )
   => ( m2_subset_1(c2_6_1__abian,k1_numbers,k5_numbers)
      & ~ ( c1_6_1__abian != k2_nat_1(2,c2_6_1__abian)
          & c1_6_1__abian != k1_nat_1(k2_nat_1(2,c2_6_1__abian),1) ) ) ),
    introduced(definition,[new_symbol(c2_6_1__abian),file(abian,c2_6_1__abian)]),
    [interesting(0.65),axiom,file(abian,c2_6_1__abian)]).

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(fc2_int_1,theorem,(
    ! [A,B] : 
      ( ( v1_int_1(A)
        & v1_int_1(B) )
     => ( v1_xcmplx_0(k3_xcmplx_0(A,B))
        & v1_xreal_0(k3_xcmplx_0(A,B))
        & v1_int_1(k3_xcmplx_0(A,B)) ) ) ),
    file(int_1,fc2_int_1),
    [interesting(0.9),axiom,file(int_1,fc2_int_1)]).

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(spc5_arithm,theorem,(
    ! [A,B,C] : 
      ( ( v1_xcmplx_0(A)
        & v1_xcmplx_0(B)
        & v1_xcmplx_0(C) )
     => k3_xcmplx_0(k2_xcmplx_0(A,B),C) = k2_xcmplx_0(k3_xcmplx_0(A,C),k3_xcmplx_0(B,C)) ) ),
    file(arithm,spc5_arithm),
    [interesting(0.9),axiom,file(arithm,spc5_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(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(dt_k2_xcmplx_0,axiom,(
    $true ),
    file(xcmplx_0,k2_xcmplx_0),
    [interesting(0.9),axiom,file(xcmplx_0,k2_xcmplx_0)]).

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(rqRealMult__k3_xcmplx_0__r1_r1_r1,theorem,(
    k3_xcmplx_0(1,1) = 1 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r1_r1_r1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r1_r1_r1)]).

fof(rqRealMult__k3_xcmplx_0__r1_r2_r2,theorem,(
    k3_xcmplx_0(1,2) = 2 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r1_r2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r1_r2_r2)]).

fof(rqRealMult__k3_xcmplx_0__r2_r1_r2,theorem,(
    k3_xcmplx_0(2,1) = 2 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r2_r1_r2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r2_r1_r2)]).

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(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(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(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(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(t1_scheme1,theorem,(
    ! [A] : 
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ~ ! [B] : 
            ( m2_subset_1(B,k1_numbers,k5_numbers)
           => ( A != k2_nat_1(2,B)
              & A != k1_nat_1(k2_nat_1(2,B),1) ) ) ) ),
    file(scheme1,t1_scheme1),
    [interesting(0.9),axiom,file(scheme1,t1_scheme1)]).

fof(e5_6_1__abian,plain,(
    ~ ! [A] : 
        ( m2_subset_1(A,k1_numbers,k5_numbers)
       => ( c1_6_1__abian != k2_nat_1(2,A)
          & c1_6_1__abian != k1_nat_1(k2_nat_1(2,A),1) ) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__abian])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,cc12_membered,cc13_membered,cc14_membered,cc18_membered,cc19_membered,cc1_membered,cc20_membered,cc2_finset_1,cc2_membered,cc3_int_1,cc3_membered,cc4_int_1,fc1_int_1,fc2_int_1,fc6_int_1,fc6_membered,fc7_int_1,rc1_finset_1,rc1_int_1,rc1_membered,rc2_int_1,rc3_finset_1,rc4_finset_1,spc5_arithm,spc6_arithm,spc7_arithm,t1_subset,t3_arithm,t4_subset,t5_subset,commutativity_k2_xcmplx_0,commutativity_k3_xcmplx_0,existence_m1_subset_1,dt_k1_zfmisc_1,dt_k2_xcmplx_0,dt_k3_xcmplx_0,dt_k5_ordinal2,dt_m1_subset_1,cc10_membered,cc11_membered,cc15_membered,cc16_membered,cc17_membered,cc1_finset_1,cc1_funct_1,cc2_int_1,cc4_membered,cc6_membered,cc9_membered,fc1_ordinal2,fc1_subset_1,fc5_membered,rc1_subset_1,rc2_subset_1,rqRealAdd__k2_xcmplx_0__r1_r1_r2,rqRealMult__k3_xcmplx_0__r1_r1_r1,rqRealMult__k3_xcmplx_0__r1_r2_r2,rqRealMult__k3_xcmplx_0__r2_r1_r2,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k1_nat_1,commutativity_k2_nat_1,existence_m2_subset_1,redefinition_k1_nat_1,redefinition_k2_nat_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_nat_1,dt_k1_numbers,dt_k2_nat_1,dt_k5_numbers,dt_m2_subset_1,dt_c1_6_1__abian,fc2_membered,spc1_numerals,spc2_numerals,spc1_boole,spc2_boole,t1_scheme1]),
    [interesting(0.65),file(abian,e5_6_1__abian),[file(abian,e5_6_1__abian)]]).

fof(dt_c2_6_1__abian,plain,(
    m2_subset_1(c2_6_1__abian,k1_numbers,k5_numbers) ),
    inference(consider,[status(thm),assumptions([dt_c1_6__abian])],[dh_c2_6_1__abian,e5_6_1__abian]),
    [interesting(0.65),file(abian,c2_6_1__abian),[file(abian,c2_6_1__abian)]]).

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(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_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__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(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_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__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__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__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__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(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(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_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(rqRealMult__k3_xcmplx_0__r0_r0_r0,theorem,(
    k3_xcmplx_0(0,0) = 0 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r0_r0_r0),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r0_r0_r0)]).

fof(rqRealMult__k3_xcmplx_0__r0_r1_r0,theorem,(
    k3_xcmplx_0(0,1) = 0 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r0_r1_r0),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r0_r1_r0)]).

fof(rqRealMult__k3_xcmplx_0__r0_r2_r0,theorem,(
    k3_xcmplx_0(0,2) = 0 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r0_r2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r0_r2_r0)]).

fof(rqRealMult__k3_xcmplx_0__r0_rm2_r0,theorem,(
    k3_xcmplx_0(0,k4_xcmplx_0(2)) = 0 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r0_rm2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r0_rm2_r0)]).

fof(rqRealMult__k3_xcmplx_0__r1_r0_r0,theorem,(
    k3_xcmplx_0(1,0) = 0 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r1_r0_r0),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r1_r0_r0)]).

fof(rqRealMult__k3_xcmplx_0__r1_rm2_rm2,theorem,(
    k3_xcmplx_0(1,k4_xcmplx_0(2)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r1_rm2_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r1_rm2_rm2)]).

fof(rqRealMult__k3_xcmplx_0__r2_r0_r0,theorem,(
    k3_xcmplx_0(2,0) = 0 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r2_r0_r0),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r2_r0_r0)]).

fof(rqRealMult__k3_xcmplx_0__rm2_r0_r0,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(2),0) = 0 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm2_r0_r0),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm2_r0_r0)]).

fof(rqRealMult__k3_xcmplx_0__rm2_r1_rm2,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(2),1) = k4_xcmplx_0(2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm2_r1_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm2_r1_rm2)]).

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

fof(d1_abian,definition,(
    ! [A] : 
      ( v1_abian(A)
    <=> ? [B] : 
          ( v1_int_1(B)
          & A = k3_xcmplx_0(2,B) ) ) ),
    file(abian,d1_abian),
    [interesting(0.9),axiom,file(abian,d1_abian)]).

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(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__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(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__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(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__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(e2_6_1_1_1__abian,plain,(
    ~ $true ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__abian,e1_6_1_1_1__abian,e1_6_1__abian])],[reflexivity_r1_tarski,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,cc20_membered,cc2_finset_1,cc2_membered,cc3_int_1,cc3_membered,cc4_membered,cc6_membered,cc9_membered,fc1_ordinal2,fc1_subset_1,fc5_membered,fc6_membered,rc1_abian,rc1_finset_1,rc1_membered,rc1_subset_1,rc2_abian,rc2_subset_1,rc3_finset_1,rc4_finset_1,t1_subset,t3_subset,t4_subset,t5_subset,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_numbers,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,cc15_membered,cc1_finset_1,cc1_funct_1,cc2_int_1,fc2_membered,fc5_int_1,fc7_int_1,fc8_int_1,fc9_int_1,rc1_int_1,rc3_abian,rc4_abian,spc2_arithm,spc7_arithm,spc9_arithm,t1_numerals,t2_arithm,t2_subset,t3_arithm,t4_arithm,t6_boole,t7_boole,t8_boole,commutativity_k2_nat_1,commutativity_k3_xcmplx_0,involutiveness_k4_xcmplx_0,redefinition_k2_nat_1,dt_k2_nat_1,dt_k3_xcmplx_0,dt_k4_xcmplx_0,dt_k6_xcmplx_0,dt_c1_6__abian,dt_c1_6_1__abian,dt_c2_6_1__abian,cc4_int_1,fc2_int_1,fc3_int_1,fc4_int_1,rc2_int_1,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_rm1_r1,rqRealDiff__k6_xcmplx_0__r0_rm2_r2,rqRealDiff__k6_xcmplx_0__r1_r0_r1,rqRealDiff__k6_xcmplx_0__r1_r2_rm1,rqRealDiff__k6_xcmplx_0__r1_rm1_r2,rqRealDiff__k6_xcmplx_0__r2_r0_r2,rqRealDiff__k6_xcmplx_0__r2_r2_r0,rqRealDiff__k6_xcmplx_0__rm1_r0_rm1,rqRealDiff__k6_xcmplx_0__rm1_r1_rm2,rqRealDiff__k6_xcmplx_0__rm1_rm1_r0,rqRealDiff__k6_xcmplx_0__rm2_r0_rm2,rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1,rqRealMult__k3_xcmplx_0__r0_r0_r0,rqRealMult__k3_xcmplx_0__r0_r1_r0,rqRealMult__k3_xcmplx_0__r0_r2_r0,rqRealMult__k3_xcmplx_0__r0_rm2_r0,rqRealMult__k3_xcmplx_0__r1_r0_r0,rqRealMult__k3_xcmplx_0__r1_rm2_rm2,rqRealMult__k3_xcmplx_0__r2_r0_r0,rqRealMult__k3_xcmplx_0__r2_r1_r2,rqRealMult__k3_xcmplx_0__rm2_r0_r0,rqRealMult__k3_xcmplx_0__rm2_r1_rm2,rqRealNeg__k4_xcmplx_0__r0_r0,rqRealNeg__k4_xcmplx_0__rm1_r1,spc0_numerals,spc1_numerals,spc2_numerals,spc0_boole,spc1_boole,spc2_boole,e1_6_1_1_1__abian,e1_6_1__abian,d1_abian,rqRealMult__k3_xcmplx_0__r1_r1_r1,rqRealMult__k3_xcmplx_0__r1_r2_r2,rqRealNeg__k4_xcmplx_0__r2_rm2,rqRealDiff__k6_xcmplx_0__r1_r1_r0,rqRealDiff__k6_xcmplx_0__rm2_rm2_r0,rqRealNeg__k4_xcmplx_0__rm2_r2,rqRealNeg__k4_xcmplx_0__r1_rm1,rqRealDiff__k6_xcmplx_0__rm1_rm2_r1,rqRealDiff__k6_xcmplx_0__r2_r1_r1]),
    [interesting(0.35),file(abian,e2_6_1_1_1__abian),[file(abian,e2_6_1_1_1__abian)]]).

fof(i2_6_1_1_1__abian,theorem,(
    $true ),
    introduced(tautology,[file(abian,i2_6_1_1_1__abian)]),
    [interesting(0.35),trivial,file(abian,i2_6_1_1_1__abian)]).

fof(i1_6_1_1_1__abian,plain,(
    ~ $true ),
    inference(conclusion,[status(thm),assumptions([dt_c1_6__abian,e1_6_1_1_1__abian,e1_6_1__abian])],[e2_6_1_1_1__abian,i2_6_1_1_1__abian]),
    [interesting(0.35),file(abian,i1_6_1_1_1__abian),[file(abian,i1_6_1_1_1__abian)]]).

fof(i1_6_1_1__abian,plain,(
    ~ ( c1_6__abian = c1_6_1__abian
      & c1_6_1__abian = k2_nat_1(2,c2_6_1__abian) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_6__abian,e1_6_1__abian]),discharge_asm(discharge,[e1_6_1_1_1__abian])],[e1_6_1_1_1__abian,i1_6_1_1_1__abian]),
    [interesting(0.5),file(abian,i1_6_1_1__abian),[file(abian,i1_6_1_1__abian)]]).

fof(e1_6_1_1_2__abian,assumption,
    ( c1_6__abian = k4_xcmplx_0(c1_6_1__abian)
    & c1_6_1__abian = k2_nat_1(2,c2_6_1__abian) ),
    introduced(assumption,[file(abian,e1_6_1_1_2__abian)]),
    [interesting(0.35),axiom,file(abian,e1_6_1_1_2__abian)]).

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_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__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_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__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__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__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__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__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(rqRealMult__k3_xcmplx_0__r0_r3_r0,theorem,(
    k3_xcmplx_0(0,3) = 0 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r0_r3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r0_r3_r0)]).

fof(rqRealMult__k3_xcmplx_0__r0_rm3_r0,theorem,(
    k3_xcmplx_0(0,k4_xcmplx_0(3)) = 0 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r0_rm3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r0_rm3_r0)]).

fof(rqRealMult__k3_xcmplx_0__r1_r3_r3,theorem,(
    k3_xcmplx_0(1,3) = 3 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r1_r3_r3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r1_r3_r3)]).

fof(rqRealMult__k3_xcmplx_0__r1_rm3_rm3,theorem,(
    k3_xcmplx_0(1,k4_xcmplx_0(3)) = k4_xcmplx_0(3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r1_rm3_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r1_rm3_rm3)]).

fof(rqRealMult__k3_xcmplx_0__r3_r0_r0,theorem,(
    k3_xcmplx_0(3,0) = 0 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r3_r0_r0),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r3_r0_r0)]).

fof(rqRealMult__k3_xcmplx_0__r3_r1_r3,theorem,(
    k3_xcmplx_0(3,1) = 3 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r3_r1_r3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r3_r1_r3)]).

fof(rqRealMult__k3_xcmplx_0__rm3_r0_r0,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(3),0) = 0 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm3_r0_r0),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm3_r0_r0)]).

fof(rqRealMult__k3_xcmplx_0__rm3_r1_rm3,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(3),1) = k4_xcmplx_0(3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm3_r1_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm3_r1_rm3)]).

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

fof(rqRealDiff__k6_xcmplx_0__r0_r4_rm4,theorem,(
    k6_xcmplx_0(0,4) = k4_xcmplx_0(4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_r4_rm4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_r4_rm4)]).

fof(rqRealDiff__k6_xcmplx_0__r0_rm4_r4,theorem,(
    k6_xcmplx_0(0,k4_xcmplx_0(4)) = 4 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_rm4_r4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_rm4_r4)]).

fof(rqRealDiff__k6_xcmplx_0__r1_r4_rm3,theorem,(
    k6_xcmplx_0(1,4) = k4_xcmplx_0(3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_r4_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_r4_rm3)]).

fof(rqRealDiff__k6_xcmplx_0__r1_rm3_r4,theorem,(
    k6_xcmplx_0(1,k4_xcmplx_0(3)) = 4 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_rm3_r4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_rm3_r4)]).

fof(rqRealDiff__k6_xcmplx_0__r2_r4_rm2,theorem,(
    k6_xcmplx_0(2,4) = k4_xcmplx_0(2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r2_r4_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r2_r4_rm2)]).

fof(rqRealDiff__k6_xcmplx_0__r3_r4_rm1,theorem,(
    k6_xcmplx_0(3,4) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r3_r4_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r3_r4_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__r3_rm1_r4,theorem,(
    k6_xcmplx_0(3,k4_xcmplx_0(1)) = 4 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r3_rm1_r4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r3_rm1_r4)]).

fof(rqRealDiff__k6_xcmplx_0__r4_r0_r4,theorem,(
    k6_xcmplx_0(4,0) = 4 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r4_r0_r4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r4_r0_r4)]).

fof(rqRealDiff__k6_xcmplx_0__r4_r1_r3,theorem,(
    k6_xcmplx_0(4,1) = 3 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r4_r1_r3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r4_r1_r3)]).

fof(rqRealDiff__k6_xcmplx_0__r4_r2_r2,theorem,(
    k6_xcmplx_0(4,2) = 2 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r4_r2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r4_r2_r2)]).

fof(rqRealDiff__k6_xcmplx_0__r4_r3_r1,theorem,(
    k6_xcmplx_0(4,3) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r4_r3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r4_r3_r1)]).

fof(rqRealDiff__k6_xcmplx_0__r4_r4_r0,theorem,(
    k6_xcmplx_0(4,4) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r4_r4_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r4_r4_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_r3_rm4,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),3) = k4_xcmplx_0(4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_r3_rm4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_r3_rm4)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_rm4_r3,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(4)) = 3 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rm4_r3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rm4_r3)]).

fof(rqRealDiff__k6_xcmplx_0__rm2_rm4_r2,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(4)) = 2 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rm4_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rm4_r2)]).

fof(rqRealDiff__k6_xcmplx_0__rm3_r1_rm4,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(3),1) = k4_xcmplx_0(4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm3_r1_rm4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm3_r1_rm4)]).

fof(rqRealDiff__k6_xcmplx_0__rm3_rm4_r1,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(4)) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm3_rm4_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm3_rm4_r1)]).

fof(rqRealDiff__k6_xcmplx_0__rm4_r0_rm4,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(4),0) = k4_xcmplx_0(4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm4_r0_rm4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm4_r0_rm4)]).

fof(rqRealDiff__k6_xcmplx_0__rm4_rm1_rm3,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(1)) = k4_xcmplx_0(3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm4_rm1_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm4_rm1_rm3)]).

fof(rqRealDiff__k6_xcmplx_0__rm4_rm2_rm2,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(2)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm4_rm2_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm4_rm2_rm2)]).

fof(rqRealDiff__k6_xcmplx_0__rm4_rm3_rm1,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(3)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm4_rm3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm4_rm3_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__rm4_rm4_r0,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(4),k4_xcmplx_0(4)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm4_rm4_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm4_rm4_r0)]).

fof(rqRealMult__k3_xcmplx_0__r0_r4_r0,theorem,(
    k3_xcmplx_0(0,4) = 0 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r0_r4_r0),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r0_r4_r0)]).

fof(rqRealMult__k3_xcmplx_0__r1_r4_r4,theorem,(
    k3_xcmplx_0(1,4) = 4 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r1_r4_r4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r1_r4_r4)]).

fof(rqRealMult__k3_xcmplx_0__r1_rm4_rm4,theorem,(
    k3_xcmplx_0(1,k4_xcmplx_0(4)) = k4_xcmplx_0(4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r1_rm4_rm4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r1_rm4_rm4)]).

fof(rqRealMult__k3_xcmplx_0__r2_r2_r4,theorem,(
    k3_xcmplx_0(2,2) = 4 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r2_r2_r4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r2_r2_r4)]).

fof(rqRealMult__k3_xcmplx_0__r2_rm2_rm4,theorem,(
    k3_xcmplx_0(2,k4_xcmplx_0(2)) = k4_xcmplx_0(4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r2_rm2_rm4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r2_rm2_rm4)]).

fof(rqRealMult__k3_xcmplx_0__r4_r0_r0,theorem,(
    k3_xcmplx_0(4,0) = 0 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r4_r0_r0),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r4_r0_r0)]).

fof(rqRealMult__k3_xcmplx_0__r4_r1_r4,theorem,(
    k3_xcmplx_0(4,1) = 4 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r4_r1_r4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r4_r1_r4)]).

fof(rqRealMult__k3_xcmplx_0__rm2_r2_rm4,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(2),2) = k4_xcmplx_0(4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm2_r2_rm4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm2_r2_rm4)]).

fof(rqRealMult__k3_xcmplx_0__rm4_r1_rm4,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(4),1) = k4_xcmplx_0(4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm4_r1_rm4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm4_r1_rm4)]).

fof(rqRealNeg__k4_xcmplx_0__rm4_r4,theorem,(
    k4_xcmplx_0(k4_xcmplx_0(4)) = 4 ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rm4_r4),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rm4_r4)]).

fof(spc4_numerals,theorem,
    ( v2_xreal_0(4)
    & m2_subset_1(4,k1_numbers,k5_numbers)
    & m1_subset_1(4,k5_numbers)
    & m1_subset_1(4,k1_numbers) ),
    file(numerals,spc4_numerals),
    [interesting(0.9),axiom,file(numerals,spc4_numerals)]).

fof(spc4_boole,theorem,(
    ~ v1_xboole_0(4) ),
    file(boole,spc4_boole),
    [interesting(0.9),axiom,file(boole,spc4_boole)]).

fof(rqRealDiff__k6_xcmplx_0__rm2_r2_rm4,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(2),2) = k4_xcmplx_0(4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm2_r2_rm4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm2_r2_rm4)]).

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(rqRealMult__k3_xcmplx_0__rm2_rm2_r4,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(2)) = 4 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm2_rm2_r4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm2_rm2_r4)]).

fof(rqRealNeg__k4_xcmplx_0__r4_rm4,theorem,(
    k4_xcmplx_0(4) = k4_xcmplx_0(4) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__r4_rm4),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__r4_rm4)]).

fof(rqRealDiff__k6_xcmplx_0__r2_rm2_r4,theorem,(
    k6_xcmplx_0(2,k4_xcmplx_0(2)) = 4 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r2_rm2_r4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r2_rm2_r4)]).

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(e2_6_1_1_2__abian,plain,(
    c1_6__abian = k3_xcmplx_0(2,k4_xcmplx_0(c2_6_1__abian)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__abian,e1_6_1_1_2__abian])],[reflexivity_r1_tarski,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,cc20_membered,cc2_finset_1,cc2_membered,cc3_int_1,cc3_membered,cc4_membered,cc6_membered,cc9_membered,fc1_ordinal2,fc1_subset_1,fc5_membered,fc6_membered,rc1_finset_1,rc1_int_1,rc1_membered,rc1_subset_1,rc2_subset_1,rc3_finset_1,rc4_finset_1,t1_subset,t3_subset,t4_subset,t5_subset,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_numbers,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,cc15_membered,cc1_finset_1,cc1_funct_1,cc2_int_1,cc4_int_1,fc2_int_1,fc2_membered,fc3_int_1,fc4_int_1,fc5_int_1,fc7_int_1,fc8_int_1,fc9_int_1,rc2_int_1,spc2_arithm,spc7_arithm,spc9_arithm,t1_numerals,t2_arithm,t2_subset,t3_arithm,t4_arithm,t6_boole,t7_boole,t8_boole,commutativity_k2_nat_1,commutativity_k3_xcmplx_0,involutiveness_k4_xcmplx_0,redefinition_k2_nat_1,dt_k2_nat_1,dt_k3_xcmplx_0,dt_k4_xcmplx_0,dt_k6_xcmplx_0,dt_c1_6__abian,dt_c1_6_1__abian,dt_c2_6_1__abian,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_r4_rm4,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_rm4_r4,rqRealDiff__k6_xcmplx_0__r1_r0_r1,rqRealDiff__k6_xcmplx_0__r1_r3_rm2,rqRealDiff__k6_xcmplx_0__r1_r4_rm3,rqRealDiff__k6_xcmplx_0__r1_rm3_r4,rqRealDiff__k6_xcmplx_0__r2_r0_r2,rqRealDiff__k6_xcmplx_0__r2_r3_rm1,rqRealDiff__k6_xcmplx_0__r2_r4_rm2,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_r4_rm1,rqRealDiff__k6_xcmplx_0__r3_rm1_r4,rqRealDiff__k6_xcmplx_0__r4_r0_r4,rqRealDiff__k6_xcmplx_0__r4_r1_r3,rqRealDiff__k6_xcmplx_0__r4_r2_r2,rqRealDiff__k6_xcmplx_0__r4_r3_r1,rqRealDiff__k6_xcmplx_0__r4_r4_r0,rqRealDiff__k6_xcmplx_0__rm1_r0_rm1,rqRealDiff__k6_xcmplx_0__rm1_r3_rm4,rqRealDiff__k6_xcmplx_0__rm1_rm3_r2,rqRealDiff__k6_xcmplx_0__rm1_rm4_r3,rqRealDiff__k6_xcmplx_0__rm2_r0_rm2,rqRealDiff__k6_xcmplx_0__rm2_rm3_r1,rqRealDiff__k6_xcmplx_0__rm2_rm4_r2,rqRealDiff__k6_xcmplx_0__rm3_r0_rm3,rqRealDiff__k6_xcmplx_0__rm3_r1_rm4,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_rm4_r1,rqRealDiff__k6_xcmplx_0__rm4_r0_rm4,rqRealDiff__k6_xcmplx_0__rm4_rm1_rm3,rqRealDiff__k6_xcmplx_0__rm4_rm2_rm2,rqRealDiff__k6_xcmplx_0__rm4_rm3_rm1,rqRealDiff__k6_xcmplx_0__rm4_rm4_r0,rqRealMult__k3_xcmplx_0__r0_r0_r0,rqRealMult__k3_xcmplx_0__r0_r1_r0,rqRealMult__k3_xcmplx_0__r0_r2_r0,rqRealMult__k3_xcmplx_0__r0_r3_r0,rqRealMult__k3_xcmplx_0__r0_r4_r0,rqRealMult__k3_xcmplx_0__r0_rm2_r0,rqRealMult__k3_xcmplx_0__r0_rm3_r0,rqRealMult__k3_xcmplx_0__r1_r0_r0,rqRealMult__k3_xcmplx_0__r1_r3_r3,rqRealMult__k3_xcmplx_0__r1_r4_r4,rqRealMult__k3_xcmplx_0__r1_rm2_rm2,rqRealMult__k3_xcmplx_0__r1_rm3_rm3,rqRealMult__k3_xcmplx_0__r1_rm4_rm4,rqRealMult__k3_xcmplx_0__r2_r0_r0,rqRealMult__k3_xcmplx_0__r2_r1_r2,rqRealMult__k3_xcmplx_0__r2_r2_r4,rqRealMult__k3_xcmplx_0__r2_rm2_rm4,rqRealMult__k3_xcmplx_0__r3_r0_r0,rqRealMult__k3_xcmplx_0__r3_r1_r3,rqRealMult__k3_xcmplx_0__r4_r0_r0,rqRealMult__k3_xcmplx_0__r4_r1_r4,rqRealMult__k3_xcmplx_0__rm2_r0_r0,rqRealMult__k3_xcmplx_0__rm2_r2_rm4,rqRealMult__k3_xcmplx_0__rm3_r0_r0,rqRealMult__k3_xcmplx_0__rm3_r1_rm3,rqRealMult__k3_xcmplx_0__rm4_r1_rm4,rqRealNeg__k4_xcmplx_0__r0_r0,rqRealNeg__k4_xcmplx_0__r3_rm3,rqRealNeg__k4_xcmplx_0__rm3_r3,rqRealNeg__k4_xcmplx_0__rm4_r4,spc0_numerals,spc1_numerals,spc2_numerals,spc3_numerals,spc4_numerals,spc0_boole,spc1_boole,spc2_boole,spc3_boole,spc4_boole,e1_6_1_1_2__abian,rqRealNeg__k4_xcmplx_0__r1_rm1,rqRealMult__k3_xcmplx_0__r1_r1_r1,rqRealMult__k3_xcmplx_0__r1_r2_r2,rqRealNeg__k4_xcmplx_0__r2_rm2,rqRealNeg__k4_xcmplx_0__rm1_r1,rqRealDiff__k6_xcmplx_0__r1_r1_r0,rqRealNeg__k4_xcmplx_0__rm2_r2,rqRealDiff__k6_xcmplx_0__rm1_rm1_r0,rqRealDiff__k6_xcmplx_0__rm2_r2_rm4,rqRealDiff__k6_xcmplx_0__r2_r2_r0,rqRealDiff__k6_xcmplx_0__rm1_r2_rm3,rqRealDiff__k6_xcmplx_0__r1_r2_rm1,rqRealDiff__k6_xcmplx_0__rm1_r1_rm2,rqRealMult__k3_xcmplx_0__rm2_r1_rm2,rqRealMult__k3_xcmplx_0__rm2_rm2_r4,rqRealDiff__k6_xcmplx_0__rm2_rm2_r0,rqRealNeg__k4_xcmplx_0__r4_rm4,rqRealDiff__k6_xcmplx_0__r2_rm2_r4,rqRealDiff__k6_xcmplx_0__rm1_rm2_r1,rqRealDiff__k6_xcmplx_0__r1_rm2_r3,rqRealDiff__k6_xcmplx_0__r2_r1_r1,rqRealDiff__k6_xcmplx_0__r2_rm1_r3,rqRealDiff__k6_xcmplx_0__rm2_r1_rm3,rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1,rqRealDiff__k6_xcmplx_0__r1_rm1_r2]),
    [interesting(0.35),file(abian,e2_6_1_1_2__abian),[file(abian,e2_6_1_1_2__abian)]]).

fof(e3_6_1_1_2__abian,plain,(
    ~ $true ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__abian,e1_6_1_1_2__abian,e1_6_1__abian])],[reflexivity_r1_tarski,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,cc20_membered,cc2_finset_1,cc2_membered,cc3_int_1,cc3_membered,cc4_membered,cc6_membered,cc9_membered,fc1_ordinal2,fc1_subset_1,fc5_membered,fc6_membered,rc1_abian,rc1_finset_1,rc1_membered,rc1_subset_1,rc2_abian,rc2_subset_1,rc3_finset_1,rc4_finset_1,t1_subset,t3_subset,t4_subset,t5_subset,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_numbers,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,cc15_membered,cc1_finset_1,cc1_funct_1,cc2_int_1,fc2_membered,fc5_int_1,fc7_int_1,fc8_int_1,fc9_int_1,rc1_int_1,rc3_abian,rc4_abian,spc2_arithm,spc7_arithm,spc9_arithm,t1_numerals,t2_arithm,t2_subset,t3_arithm,t4_arithm,t6_boole,t7_boole,t8_boole,commutativity_k3_xcmplx_0,involutiveness_k4_xcmplx_0,dt_k3_xcmplx_0,dt_k4_xcmplx_0,dt_k6_xcmplx_0,dt_c1_6__abian,dt_c2_6_1__abian,cc4_int_1,fc2_int_1,fc3_int_1,fc4_int_1,rc2_int_1,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__r1_r0_r1,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__r2_r0_r2,rqRealDiff__k6_xcmplx_0__r2_r1_r1,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__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__rm1_r0_rm1,rqRealDiff__k6_xcmplx_0__rm1_rm1_r0,rqRealDiff__k6_xcmplx_0__rm1_rm2_r1,rqRealDiff__k6_xcmplx_0__rm1_rm3_r2,rqRealDiff__k6_xcmplx_0__rm2_r0_rm2,rqRealDiff__k6_xcmplx_0__rm2_rm2_r0,rqRealDiff__k6_xcmplx_0__rm2_rm3_r1,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,rqRealMult__k3_xcmplx_0__r0_r0_r0,rqRealMult__k3_xcmplx_0__r0_r1_r0,rqRealMult__k3_xcmplx_0__r0_r2_r0,rqRealMult__k3_xcmplx_0__r0_r3_r0,rqRealMult__k3_xcmplx_0__r0_rm2_r0,rqRealMult__k3_xcmplx_0__r0_rm3_r0,rqRealMult__k3_xcmplx_0__r1_r0_r0,rqRealMult__k3_xcmplx_0__r1_r3_r3,rqRealMult__k3_xcmplx_0__r1_rm2_rm2,rqRealMult__k3_xcmplx_0__r1_rm3_rm3,rqRealMult__k3_xcmplx_0__r2_r0_r0,rqRealMult__k3_xcmplx_0__r2_r1_r2,rqRealMult__k3_xcmplx_0__r3_r0_r0,rqRealMult__k3_xcmplx_0__r3_r1_r3,rqRealMult__k3_xcmplx_0__rm2_r0_r0,rqRealMult__k3_xcmplx_0__rm2_r1_rm2,rqRealMult__k3_xcmplx_0__rm3_r0_r0,rqRealMult__k3_xcmplx_0__rm3_r1_rm3,rqRealNeg__k4_xcmplx_0__r0_r0,rqRealNeg__k4_xcmplx_0__r3_rm3,rqRealNeg__k4_xcmplx_0__rm3_r3,spc0_numerals,spc1_numerals,spc2_numerals,spc3_numerals,spc0_boole,spc1_boole,spc2_boole,spc3_boole,e2_6_1_1_2__abian,e1_6_1__abian,d1_abian,rqRealMult__k3_xcmplx_0__r1_r1_r1,rqRealNeg__k4_xcmplx_0__r1_rm1,rqRealMult__k3_xcmplx_0__r1_r2_r2,rqRealNeg__k4_xcmplx_0__r2_rm2,rqRealNeg__k4_xcmplx_0__rm2_r2,rqRealDiff__k6_xcmplx_0__r1_r1_r0,rqRealNeg__k4_xcmplx_0__rm1_r1,rqRealDiff__k6_xcmplx_0__r1_r2_rm1,rqRealDiff__k6_xcmplx_0__rm1_r2_rm3,rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1,rqRealDiff__k6_xcmplx_0__rm2_r1_rm3,rqRealDiff__k6_xcmplx_0__rm1_r1_rm2]),
    [interesting(0.35),file(abian,e3_6_1_1_2__abian),[file(abian,e3_6_1_1_2__abian)]]).

fof(i2_6_1_1_2__abian,theorem,(
    $true ),
    introduced(tautology,[file(abian,i2_6_1_1_2__abian)]),
    [interesting(0.35),trivial,file(abian,i2_6_1_1_2__abian)]).

fof(i1_6_1_1_2__abian,plain,(
    ~ $true ),
    inference(conclusion,[status(thm),assumptions([dt_c1_6__abian,e1_6_1_1_2__abian,e1_6_1__abian])],[e3_6_1_1_2__abian,i2_6_1_1_2__abian]),
    [interesting(0.35),file(abian,i1_6_1_1_2__abian),[file(abian,i1_6_1_1_2__abian)]]).

fof(i2_6_1_1__abian,plain,(
    ~ ( c1_6__abian = k4_xcmplx_0(c1_6_1__abian)
      & c1_6_1__abian = k2_nat_1(2,c2_6_1__abian) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_6__abian,e1_6_1__abian]),discharge_asm(discharge,[e1_6_1_1_2__abian])],[e1_6_1_1_2__abian,i1_6_1_1_2__abian]),
    [interesting(0.5),file(abian,i2_6_1_1__abian),[file(abian,i2_6_1_1__abian)]]).

fof(e1_6_1_1_3__abian,assumption,
    ( c1_6__abian = c1_6_1__abian
    & c1_6_1__abian = k1_nat_1(k2_nat_1(2,c2_6_1__abian),1) ),
    introduced(assumption,[file(abian,e1_6_1_1_3__abian)]),
    [interesting(0.35),axiom,file(abian,e1_6_1_1_3__abian)]).

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(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(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(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_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__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_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__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_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__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_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__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(e2_6_1_1_3__abian,plain,(
    ~ $true ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__abian,e1_6_1_1_3__abian,e2_6_1__abian])],[reflexivity_r1_tarski,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,cc20_membered,cc2_finset_1,cc2_membered,cc3_int_1,cc3_membered,cc4_membered,cc6_membered,cc9_membered,fc1_ordinal2,fc1_subset_1,fc5_membered,fc6_membered,rc1_finset_1,rc1_membered,rc1_subset_1,rc2_subset_1,rc3_finset_1,rc4_finset_1,t1_subset,t3_subset,t4_subset,t5_subset,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_numbers,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,cc15_membered,cc1_finset_1,cc1_funct_1,cc2_int_1,fc2_membered,fc5_int_1,fc6_int_1,fc7_int_1,fc8_int_1,fc9_int_1,rc1_int_1,spc1_arithm,spc2_arithm,spc5_arithm,spc6_arithm,spc7_arithm,spc8_arithm,spc9_arithm,t1_arithm,t1_numerals,t2_arithm,t2_subset,t3_arithm,t4_arithm,t6_boole,t7_boole,t8_boole,commutativity_k1_nat_1,commutativity_k2_nat_1,commutativity_k2_xcmplx_0,commutativity_k3_xcmplx_0,involutiveness_k4_xcmplx_0,redefinition_k1_nat_1,redefinition_k2_nat_1,dt_k1_nat_1,dt_k2_nat_1,dt_k2_xcmplx_0,dt_k3_xcmplx_0,dt_k4_xcmplx_0,dt_k6_xcmplx_0,dt_c1_6__abian,dt_c1_6_1__abian,dt_c2_6_1__abian,cc4_int_1,fc1_int_1,fc2_int_1,fc3_int_1,fc4_int_1,rc2_int_1,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_rm1_rm1,rqRealAdd__k2_xcmplx_0__r0_rm2_rm2,rqRealAdd__k2_xcmplx_0__r1_r0_r1,rqRealAdd__k2_xcmplx_0__r1_r1_r2,rqRealAdd__k2_xcmplx_0__r1_rm1_r0,rqRealAdd__k2_xcmplx_0__r1_rm2_rm1,rqRealAdd__k2_xcmplx_0__r2_r0_r2,rqRealAdd__k2_xcmplx_0__r2_rm1_r1,rqRealAdd__k2_xcmplx_0__r2_rm2_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_rm1_rm2,rqRealAdd__k2_xcmplx_0__rm2_r0_rm2,rqRealAdd__k2_xcmplx_0__rm2_r1_rm1,rqRealAdd__k2_xcmplx_0__rm2_r2_r0,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_rm1_r1,rqRealDiff__k6_xcmplx_0__r0_rm2_r2,rqRealDiff__k6_xcmplx_0__r1_r0_r1,rqRealDiff__k6_xcmplx_0__r1_rm1_r2,rqRealDiff__k6_xcmplx_0__r2_r0_r2,rqRealDiff__k6_xcmplx_0__rm1_r0_rm1,rqRealDiff__k6_xcmplx_0__rm1_r1_rm2,rqRealDiff__k6_xcmplx_0__rm2_r0_rm2,rqRealMult__k3_xcmplx_0__r0_r0_r0,rqRealMult__k3_xcmplx_0__r0_r1_r0,rqRealMult__k3_xcmplx_0__r0_r2_r0,rqRealMult__k3_xcmplx_0__r0_rm2_r0,rqRealMult__k3_xcmplx_0__r1_r0_r0,rqRealMult__k3_xcmplx_0__r1_rm2_rm2,rqRealMult__k3_xcmplx_0__r2_r0_r0,rqRealMult__k3_xcmplx_0__r2_r1_r2,rqRealMult__k3_xcmplx_0__rm2_r0_r0,rqRealMult__k3_xcmplx_0__rm2_r1_rm2,rqRealNeg__k4_xcmplx_0__r0_r0,spc0_numerals,spc1_numerals,spc2_numerals,spc0_boole,spc1_boole,spc2_boole,e1_6_1_1_3__abian,e2_6_1__abian,rqRealMult__k3_xcmplx_0__r1_r1_r1,rqRealMult__k3_xcmplx_0__r1_r2_r2,rqRealNeg__k4_xcmplx_0__r2_rm2,rqRealNeg__k4_xcmplx_0__r1_rm1,rqRealDiff__k6_xcmplx_0__r1_r1_r0,rqRealDiff__k6_xcmplx_0__rm2_rm2_r0,rqRealDiff__k6_xcmplx_0__rm1_rm1_r0,rqRealNeg__k4_xcmplx_0__rm2_r2,rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1,rqRealNeg__k4_xcmplx_0__rm1_r1,rqRealDiff__k6_xcmplx_0__rm1_rm2_r1,rqRealDiff__k6_xcmplx_0__r1_r2_rm1,rqRealDiff__k6_xcmplx_0__r2_r2_r0,rqRealDiff__k6_xcmplx_0__r2_r1_r1]),
    [interesting(0.35),file(abian,e2_6_1_1_3__abian),[file(abian,e2_6_1_1_3__abian)]]).

fof(i2_6_1_1_3__abian,theorem,(
    $true ),
    introduced(tautology,[file(abian,i2_6_1_1_3__abian)]),
    [interesting(0.35),trivial,file(abian,i2_6_1_1_3__abian)]).

fof(i1_6_1_1_3__abian,plain,(
    ~ $true ),
    inference(conclusion,[status(thm),assumptions([dt_c1_6__abian,e1_6_1_1_3__abian,e2_6_1__abian])],[e2_6_1_1_3__abian,i2_6_1_1_3__abian]),
    [interesting(0.35),file(abian,i1_6_1_1_3__abian),[file(abian,i1_6_1_1_3__abian)]]).

fof(i3_6_1_1__abian,plain,(
    ~ ( c1_6__abian = c1_6_1__abian
      & c1_6_1__abian = k1_nat_1(k2_nat_1(2,c2_6_1__abian),1) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_6__abian,e2_6_1__abian]),discharge_asm(discharge,[e1_6_1_1_3__abian])],[e1_6_1_1_3__abian,i1_6_1_1_3__abian]),
    [interesting(0.5),file(abian,i3_6_1_1__abian),[file(abian,i3_6_1_1__abian)]]).

fof(e1_6_1_1_4__abian,assumption,
    ( c1_6__abian = k4_xcmplx_0(c1_6_1__abian)
    & c1_6_1__abian = k1_nat_1(k2_nat_1(2,c2_6_1__abian),1) ),
    introduced(assumption,[file(abian,e1_6_1_1_4__abian)]),
    [interesting(0.35),axiom,file(abian,e1_6_1_1_4__abian)]).

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_r4_r4,theorem,(
    k2_xcmplx_0(0,4) = 4 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_r4_r4),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_r4_r4)]).

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__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_r3_r4,theorem,(
    k2_xcmplx_0(1,3) = 4 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_r3_r4),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_r3_r4)]).

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_rm4_rm3,theorem,(
    k2_xcmplx_0(1,k4_xcmplx_0(4)) = k4_xcmplx_0(3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_rm4_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_rm4_rm3)]).

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_r2_r4,theorem,(
    k2_xcmplx_0(2,2) = 4 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r2_r2_r4),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r2_r2_r4)]).

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_rm4_rm2,theorem,(
    k2_xcmplx_0(2,k4_xcmplx_0(4)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r2_rm4_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r2_rm4_rm2)]).

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_r1_r4,theorem,(
    k2_xcmplx_0(3,1) = 4 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r3_r1_r4),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r3_r1_r4)]).

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__r3_rm4_rm1,theorem,(
    k2_xcmplx_0(3,k4_xcmplx_0(4)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r3_rm4_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r3_rm4_rm1)]).

fof(rqRealAdd__k2_xcmplx_0__r4_r0_r4,theorem,(
    k2_xcmplx_0(4,0) = 4 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r4_r0_r4),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r4_r0_r4)]).

fof(rqRealAdd__k2_xcmplx_0__r4_rm1_r3,theorem,(
    k2_xcmplx_0(4,k4_xcmplx_0(1)) = 3 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r4_rm1_r3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r4_rm1_r3)]).

fof(rqRealAdd__k2_xcmplx_0__r4_rm2_r2,theorem,(
    k2_xcmplx_0(4,k4_xcmplx_0(2)) = 2 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r4_rm2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r4_rm2_r2)]).

fof(rqRealAdd__k2_xcmplx_0__r4_rm3_r1,theorem,(
    k2_xcmplx_0(4,k4_xcmplx_0(3)) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r4_rm3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r4_rm3_r1)]).

fof(rqRealAdd__k2_xcmplx_0__r4_rm4_r0,theorem,(
    k2_xcmplx_0(4,k4_xcmplx_0(4)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r4_rm4_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r4_rm4_r0)]).

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_r4_r3,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(1),4) = 3 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm1_r4_r3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm1_r4_r3)]).

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_rm3_rm4,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(1),k4_xcmplx_0(3)) = k4_xcmplx_0(4) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rm3_rm4),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm1_rm3_rm4)]).

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_r4_r2,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(2),4) = 2 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm2_r4_r2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm2_r4_r2)]).

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_rm2_rm4,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(2),k4_xcmplx_0(2)) = k4_xcmplx_0(4) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm2_rm2_rm4),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm2_rm2_rm4)]).

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__rm3_r4_r1,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(3),4) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm3_r4_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm3_r4_r1)]).

fof(rqRealAdd__k2_xcmplx_0__rm3_rm1_rm4,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(3),k4_xcmplx_0(1)) = k4_xcmplx_0(4) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm3_rm1_rm4),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm3_rm1_rm4)]).

fof(rqRealAdd__k2_xcmplx_0__rm4_r1_rm3,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(4),1) = k4_xcmplx_0(3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm4_r1_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm4_r1_rm3)]).

fof(rqRealAdd__k2_xcmplx_0__rm4_r2_rm2,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(4),2) = k4_xcmplx_0(2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm4_r2_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm4_r2_rm2)]).

fof(rqRealAdd__k2_xcmplx_0__rm4_r3_rm1,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(4),3) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm4_r3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm4_r3_rm1)]).

fof(rqRealAdd__k2_xcmplx_0__rm4_r4_r0,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(4),4) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm4_r4_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm4_r4_r0)]).

fof(e2_6_1_1_4__abian,plain,(
    c1_6__abian = k2_xcmplx_0(k3_xcmplx_0(2,k4_xcmplx_0(k1_nat_1(c2_6_1__abian,1))),1) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__abian,e1_6_1_1_4__abian])],[reflexivity_r1_tarski,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,cc20_membered,cc2_finset_1,cc2_membered,cc3_int_1,cc3_membered,cc4_membered,cc6_membered,cc9_membered,fc1_ordinal2,fc1_subset_1,fc5_membered,fc6_membered,rc1_finset_1,rc1_int_1,rc1_membered,rc1_subset_1,rc2_subset_1,rc3_finset_1,rc4_finset_1,t1_subset,t3_subset,t4_subset,t5_subset,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_numbers,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,cc15_membered,cc1_finset_1,cc1_funct_1,cc2_int_1,cc4_int_1,fc1_int_1,fc2_int_1,fc2_membered,fc3_int_1,fc4_int_1,fc5_int_1,fc6_int_1,fc7_int_1,fc8_int_1,fc9_int_1,rc2_int_1,spc1_arithm,spc2_arithm,spc5_arithm,spc6_arithm,spc7_arithm,spc8_arithm,spc9_arithm,t1_arithm,t1_numerals,t2_arithm,t2_subset,t3_arithm,t4_arithm,t6_boole,t7_boole,t8_boole,commutativity_k1_nat_1,commutativity_k2_nat_1,commutativity_k2_xcmplx_0,commutativity_k3_xcmplx_0,involutiveness_k4_xcmplx_0,redefinition_k1_nat_1,redefinition_k2_nat_1,dt_k1_nat_1,dt_k2_nat_1,dt_k2_xcmplx_0,dt_k3_xcmplx_0,dt_k4_xcmplx_0,dt_k6_xcmplx_0,dt_c1_6__abian,dt_c1_6_1__abian,dt_c2_6_1__abian,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_r4_r4,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__r1_r0_r1,rqRealAdd__k2_xcmplx_0__r1_r1_r2,rqRealAdd__k2_xcmplx_0__r1_r2_r3,rqRealAdd__k2_xcmplx_0__r1_r3_r4,rqRealAdd__k2_xcmplx_0__r1_rm1_r0,rqRealAdd__k2_xcmplx_0__r1_rm3_rm2,rqRealAdd__k2_xcmplx_0__r1_rm4_rm3,rqRealAdd__k2_xcmplx_0__r2_r0_r2,rqRealAdd__k2_xcmplx_0__r2_r1_r3,rqRealAdd__k2_xcmplx_0__r2_r2_r4,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_rm4_rm2,rqRealAdd__k2_xcmplx_0__r3_r0_r3,rqRealAdd__k2_xcmplx_0__r3_r1_r4,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__r3_rm4_rm1,rqRealAdd__k2_xcmplx_0__r4_r0_r4,rqRealAdd__k2_xcmplx_0__r4_rm1_r3,rqRealAdd__k2_xcmplx_0__r4_rm2_r2,rqRealAdd__k2_xcmplx_0__r4_rm3_r1,rqRealAdd__k2_xcmplx_0__r4_rm4_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_r4_r3,rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2,rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3,rqRealAdd__k2_xcmplx_0__rm1_rm3_rm4,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_r4_r2,rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3,rqRealAdd__k2_xcmplx_0__rm2_rm2_rm4,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__rm3_r4_r1,rqRealAdd__k2_xcmplx_0__rm3_rm1_rm4,rqRealAdd__k2_xcmplx_0__rm4_r1_rm3,rqRealAdd__k2_xcmplx_0__rm4_r2_rm2,rqRealAdd__k2_xcmplx_0__rm4_r3_rm1,rqRealAdd__k2_xcmplx_0__rm4_r4_r0,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_r4_rm4,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_rm4_r4,rqRealDiff__k6_xcmplx_0__r1_r0_r1,rqRealDiff__k6_xcmplx_0__r1_r3_rm2,rqRealDiff__k6_xcmplx_0__r1_r4_rm3,rqRealDiff__k6_xcmplx_0__r1_rm3_r4,rqRealDiff__k6_xcmplx_0__r2_r0_r2,rqRealDiff__k6_xcmplx_0__r2_r3_rm1,rqRealDiff__k6_xcmplx_0__r2_r4_rm2,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_r4_rm1,rqRealDiff__k6_xcmplx_0__r3_rm1_r4,rqRealDiff__k6_xcmplx_0__r4_r0_r4,rqRealDiff__k6_xcmplx_0__r4_r1_r3,rqRealDiff__k6_xcmplx_0__r4_r2_r2,rqRealDiff__k6_xcmplx_0__r4_r3_r1,rqRealDiff__k6_xcmplx_0__r4_r4_r0,rqRealDiff__k6_xcmplx_0__rm1_r0_rm1,rqRealDiff__k6_xcmplx_0__rm1_r3_rm4,rqRealDiff__k6_xcmplx_0__rm1_rm3_r2,rqRealDiff__k6_xcmplx_0__rm1_rm4_r3,rqRealDiff__k6_xcmplx_0__rm2_r0_rm2,rqRealDiff__k6_xcmplx_0__rm2_rm3_r1,rqRealDiff__k6_xcmplx_0__rm2_rm4_r2,rqRealDiff__k6_xcmplx_0__rm3_r0_rm3,rqRealDiff__k6_xcmplx_0__rm3_r1_rm4,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_rm4_r1,rqRealDiff__k6_xcmplx_0__rm4_r0_rm4,rqRealDiff__k6_xcmplx_0__rm4_rm1_rm3,rqRealDiff__k6_xcmplx_0__rm4_rm2_rm2,rqRealDiff__k6_xcmplx_0__rm4_rm3_rm1,rqRealDiff__k6_xcmplx_0__rm4_rm4_r0,rqRealMult__k3_xcmplx_0__r0_r0_r0,rqRealMult__k3_xcmplx_0__r0_r1_r0,rqRealMult__k3_xcmplx_0__r0_r2_r0,rqRealMult__k3_xcmplx_0__r0_r3_r0,rqRealMult__k3_xcmplx_0__r0_r4_r0,rqRealMult__k3_xcmplx_0__r0_rm2_r0,rqRealMult__k3_xcmplx_0__r0_rm3_r0,rqRealMult__k3_xcmplx_0__r1_r0_r0,rqRealMult__k3_xcmplx_0__r1_r3_r3,rqRealMult__k3_xcmplx_0__r1_r4_r4,rqRealMult__k3_xcmplx_0__r1_rm2_rm2,rqRealMult__k3_xcmplx_0__r1_rm3_rm3,rqRealMult__k3_xcmplx_0__r1_rm4_rm4,rqRealMult__k3_xcmplx_0__r2_r0_r0,rqRealMult__k3_xcmplx_0__r2_r1_r2,rqRealMult__k3_xcmplx_0__r2_r2_r4,rqRealMult__k3_xcmplx_0__r2_rm2_rm4,rqRealMult__k3_xcmplx_0__r3_r0_r0,rqRealMult__k3_xcmplx_0__r3_r1_r3,rqRealMult__k3_xcmplx_0__r4_r0_r0,rqRealMult__k3_xcmplx_0__r4_r1_r4,rqRealMult__k3_xcmplx_0__rm2_r0_r0,rqRealMult__k3_xcmplx_0__rm2_r2_rm4,rqRealMult__k3_xcmplx_0__rm3_r0_r0,rqRealMult__k3_xcmplx_0__rm3_r1_rm3,rqRealMult__k3_xcmplx_0__rm4_r1_rm4,rqRealNeg__k4_xcmplx_0__r0_r0,rqRealNeg__k4_xcmplx_0__r3_rm3,rqRealNeg__k4_xcmplx_0__rm3_r3,rqRealNeg__k4_xcmplx_0__rm4_r4,spc0_numerals,spc1_numerals,spc2_numerals,spc3_numerals,spc4_numerals,spc0_boole,spc1_boole,spc2_boole,spc3_boole,spc4_boole,e1_6_1_1_4__abian,rqRealNeg__k4_xcmplx_0__r1_rm1,rqRealMult__k3_xcmplx_0__r1_r1_r1,rqRealMult__k3_xcmplx_0__r1_r2_r2,rqRealNeg__k4_xcmplx_0__r2_rm2,rqRealMult__k3_xcmplx_0__rm2_r1_rm2,rqRealAdd__k2_xcmplx_0__r1_rm2_rm1,rqRealNeg__k4_xcmplx_0__rm1_r1,rqRealDiff__k6_xcmplx_0__r1_r1_r0,rqRealNeg__k4_xcmplx_0__rm2_r2,rqRealDiff__k6_xcmplx_0__rm1_rm1_r0,rqRealDiff__k6_xcmplx_0__rm2_r2_rm4,rqRealDiff__k6_xcmplx_0__rm1_r1_rm2,rqRealDiff__k6_xcmplx_0__r2_r2_r0,rqRealDiff__k6_xcmplx_0__r2_r1_r1,rqRealDiff__k6_xcmplx_0__rm2_r1_rm3,rqRealDiff__k6_xcmplx_0__rm1_r2_rm3,rqRealDiff__k6_xcmplx_0__r1_r2_rm1,rqRealMult__k3_xcmplx_0__rm2_rm2_r4,rqRealDiff__k6_xcmplx_0__rm2_rm2_r0,rqRealNeg__k4_xcmplx_0__r4_rm4,rqRealDiff__k6_xcmplx_0__r2_rm2_r4,rqRealDiff__k6_xcmplx_0__r1_rm1_r2,rqRealDiff__k6_xcmplx_0__r2_rm1_r3,rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1,rqRealDiff__k6_xcmplx_0__rm1_rm2_r1,rqRealDiff__k6_xcmplx_0__r1_rm2_r3]),
    [interesting(0.35),file(abian,e2_6_1_1_4__abian),[file(abian,e2_6_1_1_4__abian)]]).

fof(e3_6_1_1_4__abian,plain,(
    ~ $true ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__abian,e1_6_1_1_4__abian,e2_6_1__abian])],[reflexivity_r1_tarski,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,cc20_membered,cc2_finset_1,cc2_membered,cc3_int_1,cc3_membered,cc4_membered,cc6_membered,cc9_membered,fc1_ordinal2,fc1_subset_1,fc5_membered,fc6_membered,rc1_finset_1,rc1_membered,rc1_subset_1,rc2_subset_1,rc3_finset_1,rc4_finset_1,t1_subset,t3_subset,t4_subset,t5_subset,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_numbers,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,cc15_membered,cc1_finset_1,cc1_funct_1,cc2_int_1,fc2_membered,fc5_int_1,fc6_int_1,fc7_int_1,fc8_int_1,fc9_int_1,rc1_int_1,spc1_arithm,spc2_arithm,spc5_arithm,spc6_arithm,spc7_arithm,spc8_arithm,spc9_arithm,t1_arithm,t1_numerals,t2_arithm,t2_subset,t3_arithm,t4_arithm,t6_boole,t7_boole,t8_boole,commutativity_k1_nat_1,commutativity_k2_xcmplx_0,commutativity_k3_xcmplx_0,involutiveness_k4_xcmplx_0,redefinition_k1_nat_1,dt_k1_nat_1,dt_k2_xcmplx_0,dt_k3_xcmplx_0,dt_k4_xcmplx_0,dt_k6_xcmplx_0,dt_c1_6__abian,dt_c2_6_1__abian,cc4_int_1,fc1_int_1,fc2_int_1,fc3_int_1,fc4_int_1,rc2_int_1,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_r4_r4,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__r1_r0_r1,rqRealAdd__k2_xcmplx_0__r1_r1_r2,rqRealAdd__k2_xcmplx_0__r1_r2_r3,rqRealAdd__k2_xcmplx_0__r1_r3_r4,rqRealAdd__k2_xcmplx_0__r1_rm1_r0,rqRealAdd__k2_xcmplx_0__r1_rm3_rm2,rqRealAdd__k2_xcmplx_0__r1_rm4_rm3,rqRealAdd__k2_xcmplx_0__r2_r0_r2,rqRealAdd__k2_xcmplx_0__r2_r1_r3,rqRealAdd__k2_xcmplx_0__r2_r2_r4,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_rm4_rm2,rqRealAdd__k2_xcmplx_0__r3_r0_r3,rqRealAdd__k2_xcmplx_0__r3_r1_r4,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__r3_rm4_rm1,rqRealAdd__k2_xcmplx_0__r4_r0_r4,rqRealAdd__k2_xcmplx_0__r4_rm1_r3,rqRealAdd__k2_xcmplx_0__r4_rm2_r2,rqRealAdd__k2_xcmplx_0__r4_rm3_r1,rqRealAdd__k2_xcmplx_0__r4_rm4_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_r4_r3,rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2,rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3,rqRealAdd__k2_xcmplx_0__rm1_rm3_rm4,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_r4_r2,rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3,rqRealAdd__k2_xcmplx_0__rm2_rm2_rm4,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__rm3_r4_r1,rqRealAdd__k2_xcmplx_0__rm3_rm1_rm4,rqRealAdd__k2_xcmplx_0__rm4_r1_rm3,rqRealAdd__k2_xcmplx_0__rm4_r2_rm2,rqRealAdd__k2_xcmplx_0__rm4_r3_rm1,rqRealAdd__k2_xcmplx_0__rm4_r4_r0,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_r4_rm4,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_rm4_r4,rqRealDiff__k6_xcmplx_0__r1_r0_r1,rqRealDiff__k6_xcmplx_0__r1_r3_rm2,rqRealDiff__k6_xcmplx_0__r1_r4_rm3,rqRealDiff__k6_xcmplx_0__r1_rm3_r4,rqRealDiff__k6_xcmplx_0__r2_r0_r2,rqRealDiff__k6_xcmplx_0__r2_r3_rm1,rqRealDiff__k6_xcmplx_0__r2_r4_rm2,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_r4_rm1,rqRealDiff__k6_xcmplx_0__r3_rm1_r4,rqRealDiff__k6_xcmplx_0__r4_r0_r4,rqRealDiff__k6_xcmplx_0__r4_r1_r3,rqRealDiff__k6_xcmplx_0__r4_r2_r2,rqRealDiff__k6_xcmplx_0__r4_r3_r1,rqRealDiff__k6_xcmplx_0__r4_r4_r0,rqRealDiff__k6_xcmplx_0__rm1_r0_rm1,rqRealDiff__k6_xcmplx_0__rm1_r3_rm4,rqRealDiff__k6_xcmplx_0__rm1_rm3_r2,rqRealDiff__k6_xcmplx_0__rm1_rm4_r3,rqRealDiff__k6_xcmplx_0__rm2_r0_rm2,rqRealDiff__k6_xcmplx_0__rm2_r2_rm4,rqRealDiff__k6_xcmplx_0__rm2_rm3_r1,rqRealDiff__k6_xcmplx_0__rm2_rm4_r2,rqRealDiff__k6_xcmplx_0__rm3_r0_rm3,rqRealDiff__k6_xcmplx_0__rm3_r1_rm4,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_rm4_r1,rqRealDiff__k6_xcmplx_0__rm4_r0_rm4,rqRealDiff__k6_xcmplx_0__rm4_rm1_rm3,rqRealDiff__k6_xcmplx_0__rm4_rm2_rm2,rqRealDiff__k6_xcmplx_0__rm4_rm3_rm1,rqRealDiff__k6_xcmplx_0__rm4_rm4_r0,rqRealMult__k3_xcmplx_0__r0_r0_r0,rqRealMult__k3_xcmplx_0__r0_r1_r0,rqRealMult__k3_xcmplx_0__r0_r2_r0,rqRealMult__k3_xcmplx_0__r0_r3_r0,rqRealMult__k3_xcmplx_0__r0_r4_r0,rqRealMult__k3_xcmplx_0__r0_rm2_r0,rqRealMult__k3_xcmplx_0__r0_rm3_r0,rqRealMult__k3_xcmplx_0__r1_r0_r0,rqRealMult__k3_xcmplx_0__r1_r3_r3,rqRealMult__k3_xcmplx_0__r1_r4_r4,rqRealMult__k3_xcmplx_0__r1_rm2_rm2,rqRealMult__k3_xcmplx_0__r1_rm3_rm3,rqRealMult__k3_xcmplx_0__r1_rm4_rm4,rqRealMult__k3_xcmplx_0__r2_r0_r0,rqRealMult__k3_xcmplx_0__r2_r1_r2,rqRealMult__k3_xcmplx_0__r2_r2_r4,rqRealMult__k3_xcmplx_0__r2_rm2_rm4,rqRealMult__k3_xcmplx_0__r3_r0_r0,rqRealMult__k3_xcmplx_0__r3_r1_r3,rqRealMult__k3_xcmplx_0__r4_r0_r0,rqRealMult__k3_xcmplx_0__r4_r1_r4,rqRealMult__k3_xcmplx_0__rm2_r0_r0,rqRealMult__k3_xcmplx_0__rm2_r2_rm4,rqRealMult__k3_xcmplx_0__rm2_rm2_r4,rqRealMult__k3_xcmplx_0__rm3_r0_r0,rqRealMult__k3_xcmplx_0__rm3_r1_rm3,rqRealMult__k3_xcmplx_0__rm4_r1_rm4,rqRealNeg__k4_xcmplx_0__r0_r0,rqRealNeg__k4_xcmplx_0__r3_rm3,rqRealNeg__k4_xcmplx_0__r4_rm4,rqRealNeg__k4_xcmplx_0__rm3_r3,rqRealNeg__k4_xcmplx_0__rm4_r4,spc0_numerals,spc1_numerals,spc2_numerals,spc3_numerals,spc4_numerals,spc0_boole,spc1_boole,spc2_boole,spc3_boole,spc4_boole,e2_6_1_1_4__abian,e2_6_1__abian,rqRealMult__k3_xcmplx_0__r1_r1_r1,rqRealNeg__k4_xcmplx_0__r1_rm1,rqRealMult__k3_xcmplx_0__r1_r2_r2,rqRealNeg__k4_xcmplx_0__r2_rm2,rqRealMult__k3_xcmplx_0__rm2_r1_rm2,rqRealAdd__k2_xcmplx_0__r1_rm2_rm1,rqRealNeg__k4_xcmplx_0__rm2_r2,rqRealNeg__k4_xcmplx_0__rm1_r1,rqRealDiff__k6_xcmplx_0__r1_r1_r0,rqRealDiff__k6_xcmplx_0__rm2_r1_rm3,rqRealDiff__k6_xcmplx_0__rm1_r1_rm2,rqRealDiff__k6_xcmplx_0__r2_r2_r0,rqRealDiff__k6_xcmplx_0__r2_r1_r1,rqRealDiff__k6_xcmplx_0__r1_r2_rm1,rqRealDiff__k6_xcmplx_0__rm1_r2_rm3,rqRealDiff__k6_xcmplx_0__rm2_rm2_r0,rqRealDiff__k6_xcmplx_0__rm1_rm2_r1,rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1,rqRealDiff__k6_xcmplx_0__rm1_rm1_r0,rqRealDiff__k6_xcmplx_0__r2_rm2_r4,rqRealDiff__k6_xcmplx_0__r2_rm1_r3,rqRealDiff__k6_xcmplx_0__r1_rm2_r3,rqRealDiff__k6_xcmplx_0__r1_rm1_r2]),
    [interesting(0.35),file(abian,e3_6_1_1_4__abian),[file(abian,e3_6_1_1_4__abian)]]).

fof(i2_6_1_1_4__abian,theorem,(
    $true ),
    introduced(tautology,[file(abian,i2_6_1_1_4__abian)]),
    [interesting(0.35),trivial,file(abian,i2_6_1_1_4__abian)]).

fof(i1_6_1_1_4__abian,plain,(
    ~ $true ),
    inference(conclusion,[status(thm),assumptions([dt_c1_6__abian,e1_6_1_1_4__abian,e2_6_1__abian])],[e3_6_1_1_4__abian,i2_6_1_1_4__abian]),
    [interesting(0.35),file(abian,i1_6_1_1_4__abian),[file(abian,i1_6_1_1_4__abian)]]).

fof(i4_6_1_1__abian,plain,(
    ~ ( c1_6__abian = k4_xcmplx_0(c1_6_1__abian)
      & c1_6_1__abian = k1_nat_1(k2_nat_1(2,c2_6_1__abian),1) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_6__abian,e2_6_1__abian]),discharge_asm(discharge,[e1_6_1_1_4__abian])],[e1_6_1_1_4__abian,i1_6_1_1_4__abian]),
    [interesting(0.5),file(abian,i4_6_1_1__abian),[file(abian,i4_6_1_1__abian)]]).

fof(e4_6_1__abian,plain,
    ( c1_6__abian = c1_6_1__abian
    | c1_6__abian = k4_xcmplx_0(c1_6_1__abian) ),
    inference(consider,[status(thm),assumptions([dt_c1_6__abian])],[dh_c1_6_1__abian,e3_6_1__abian]),
    [interesting(0.65),file(abian,e4_6_1__abian),[file(abian,e4_6_1__abian)]]).

fof(e6_6_1__abian,plain,
    ( c1_6_1__abian = k2_nat_1(2,c2_6_1__abian)
    | c1_6_1__abian = k1_nat_1(k2_nat_1(2,c2_6_1__abian),1) ),
    inference(consider,[status(thm),assumptions([dt_c1_6__abian])],[dh_c2_6_1__abian,e5_6_1__abian]),
    [interesting(0.65),file(abian,e6_6_1__abian),[file(abian,e6_6_1__abian)]]).

fof(e1_6_1_1__abian,plain,(
    ~ ( ~ ( c1_6__abian = c1_6_1__abian
          & c1_6_1__abian = k2_nat_1(2,c2_6_1__abian) )
      & ~ ( c1_6__abian = k4_xcmplx_0(c1_6_1__abian)
          & c1_6_1__abian = k2_nat_1(2,c2_6_1__abian) )
      & ~ ( c1_6__abian = c1_6_1__abian
          & c1_6_1__abian = k1_nat_1(k2_nat_1(2,c2_6_1__abian),1) )
      & ~ ( c1_6__abian = k4_xcmplx_0(c1_6_1__abian)
          & c1_6_1__abian = k1_nat_1(k2_nat_1(2,c2_6_1__abian),1) ) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__abian])],[reflexivity_r1_tarski,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,cc20_membered,cc2_finset_1,cc2_membered,cc3_int_1,cc3_membered,cc4_membered,cc6_membered,cc9_membered,fc1_ordinal2,fc1_subset_1,fc5_membered,fc6_membered,rc1_finset_1,rc1_int_1,rc1_membered,rc1_subset_1,rc2_subset_1,rc3_finset_1,rc4_finset_1,t1_subset,t3_subset,t4_subset,t5_subset,commutativity_k2_xcmplx_0,commutativity_k3_xcmplx_0,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_numbers,dt_k2_xcmplx_0,dt_k3_xcmplx_0,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,cc15_membered,cc1_finset_1,cc1_funct_1,cc2_int_1,cc4_int_1,fc1_int_1,fc2_int_1,fc2_membered,fc3_int_1,fc5_int_1,fc6_int_1,fc7_int_1,rc2_int_1,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,rqRealMult__k3_xcmplx_0__r1_r1_r1,rqRealMult__k3_xcmplx_0__r1_r2_r2,rqRealMult__k3_xcmplx_0__r1_rm2_rm2,rqRealMult__k3_xcmplx_0__r2_r1_r2,rqRealMult__k3_xcmplx_0__rm2_r1_rm2,spc2_arithm,spc5_arithm,spc6_arithm,spc7_arithm,spc8_arithm,t2_subset,t3_arithm,t6_boole,t7_boole,t8_boole,commutativity_k1_nat_1,commutativity_k2_nat_1,involutiveness_k4_xcmplx_0,redefinition_k1_nat_1,redefinition_k2_nat_1,dt_k1_nat_1,dt_k2_nat_1,dt_k4_xcmplx_0,dt_c1_6__abian,dt_c1_6_1__abian,dt_c2_6_1__abian,rqRealNeg__k4_xcmplx_0__r1_rm1,rqRealNeg__k4_xcmplx_0__r2_rm2,rqRealNeg__k4_xcmplx_0__rm1_r1,rqRealNeg__k4_xcmplx_0__rm2_r2,spc1_numerals,spc2_numerals,spc1_boole,spc2_boole,e4_6_1__abian,e6_6_1__abian]),
    [interesting(0.5),file(abian,e1_6_1_1__abian),[file(abian,e1_6_1_1__abian)]]).

fof(i2_6_1__abian,plain,(
    ~ $true ),
    inference(percases,[status(thm),assumptions([e1_6_1__abian,e2_6_1__abian,dt_c1_6__abian])],[i1_6_1_1__abian,i2_6_1_1__abian,i3_6_1_1__abian,i4_6_1_1__abian,e1_6_1_1__abian]),
    [interesting(0.65),file(abian,i2_6_1__abian),[file(abian,i2_6_1__abian)]]).

fof(i1_6_1__abian,plain,(
    ? [A] : 
      ( v1_int_1(A)
      & c1_6__abian = k2_xcmplx_0(k3_xcmplx_0(2,A),1) ) ),
    inference(discharge_asm,[status(thm),assumptions([e1_6_1__abian,dt_c1_6__abian]),discharge_asm(discharge,[e2_6_1__abian])],[e2_6_1__abian,i2_6_1__abian]),
    [interesting(0.65),file(abian,i1_6_1__abian),[file(abian,i1_6_1__abian)]]).

fof(e1_6__abian,plain,(
    ~ ( ~ v1_abian(c1_6__abian)
      & ! [A] : 
          ( v1_int_1(A)
         => c1_6__abian != k2_xcmplx_0(k3_xcmplx_0(2,A),1) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_6__abian]),discharge_asm(discharge,[e1_6_1__abian])],[e1_6_1__abian,i1_6_1__abian]),
    [interesting(0.8),file(abian,e1_6__abian),[file(abian,e1_6__abian)]]).

fof(e2_6__abian,assumption,(
    ? [A] : 
      ( v1_int_1(A)
      & c1_6__abian = k2_xcmplx_0(k3_xcmplx_0(2,A),1) ) ),
    introduced(assumption,[file(abian,e2_6__abian)]),
    [interesting(0.8),axiom,file(abian,e2_6__abian)]).

fof(e4_6__abian,assumption,(
    ? [A] : 
      ( v1_int_1(A)
      & c1_6__abian = k3_xcmplx_0(2,A) ) ),
    introduced(assumption,[file(abian,e4_6__abian)]),
    [interesting(0.8),axiom,file(abian,e4_6__abian)]).

fof(spc4_arithm,theorem,(
    ! [A,B,C] : 
      ( ( v1_xcmplx_0(A)
        & v1_xcmplx_0(B)
        & v1_xcmplx_0(C) )
     => k3_xcmplx_0(A,k7_xcmplx_0(B,C)) = k7_xcmplx_0(k3_xcmplx_0(A,B),C) ) ),
    file(arithm,spc4_arithm),
    [interesting(0.9),axiom,file(arithm,spc4_arithm)]).

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

fof(dh_c2_6__abian,definition,
    ( ? [A] : 
        ( v1_int_1(A)
        & c1_6__abian = k2_xcmplx_0(k3_xcmplx_0(2,A),1) )
   => ( v1_int_1(c2_6__abian)
      & c1_6__abian = k2_xcmplx_0(k3_xcmplx_0(2,c2_6__abian),1) ) ),
    introduced(definition,[new_symbol(c2_6__abian),file(abian,c2_6__abian)]),
    [interesting(0.8),axiom,file(abian,c2_6__abian)]).

fof(dt_c2_6__abian,plain,(
    v1_int_1(c2_6__abian) ),
    inference(consider,[status(thm),assumptions([e2_6__abian])],[dh_c2_6__abian,e2_6__abian]),
    [interesting(0.8),file(abian,c2_6__abian),[file(abian,c2_6__abian)]]).

fof(dh_c3_6__abian,definition,
    ( ? [A] : 
        ( v1_int_1(A)
        & c1_6__abian = k3_xcmplx_0(2,A) )
   => ( v1_int_1(c3_6__abian)
      & c1_6__abian = k3_xcmplx_0(2,c3_6__abian) ) ),
    introduced(definition,[new_symbol(c3_6__abian),file(abian,c3_6__abian)]),
    [interesting(0.8),axiom,file(abian,c3_6__abian)]).

fof(dt_c3_6__abian,plain,(
    v1_int_1(c3_6__abian) ),
    inference(consider,[status(thm),assumptions([e4_6__abian])],[dh_c3_6__abian,e4_6__abian]),
    [interesting(0.8),file(abian,c3_6__abian),[file(abian,c3_6__abian)]]).

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_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_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_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_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_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_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_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_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(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(rqRealMult__k3_xcmplx_0__r0_rn1d2_r0,theorem,(
    k3_xcmplx_0(0,k7_xcmplx_0(1,2)) = 0 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r0_rn1d2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r0_rn1d2_r0)]).

fof(rqRealMult__k3_xcmplx_0__r0_rn1d3_r0,theorem,(
    k3_xcmplx_0(0,k7_xcmplx_0(1,3)) = 0 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r0_rn1d3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r0_rn1d3_r0)]).

fof(rqRealMult__k3_xcmplx_0__r0_rn3d2_r0,theorem,(
    k3_xcmplx_0(0,k7_xcmplx_0(3,2)) = 0 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r0_rn3d2_r0),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r0_rn3d2_r0)]).

fof(rqRealMult__k3_xcmplx_0__r1_rn1d2_rn1d2,theorem,(
    k3_xcmplx_0(1,k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r1_rn1d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r1_rn1d2_rn1d2)]).

fof(rqRealMult__k3_xcmplx_0__r1_rn1d3_rn1d3,theorem,(
    k3_xcmplx_0(1,k7_xcmplx_0(1,3)) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r1_rn1d3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r1_rn1d3_rn1d3)]).

fof(rqRealMult__k3_xcmplx_0__r1_rn2d3_rn2d3,theorem,(
    k3_xcmplx_0(1,k7_xcmplx_0(2,3)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r1_rn2d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r1_rn2d3_rn2d3)]).

fof(rqRealMult__k3_xcmplx_0__r1_rn3d2_rn3d2,theorem,(
    k3_xcmplx_0(1,k7_xcmplx_0(3,2)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r1_rn3d2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r1_rn3d2_rn3d2)]).

fof(rqRealMult__k3_xcmplx_0__r1_rnm1d2_rnm1d2,theorem,(
    k3_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r1_rnm1d2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r1_rnm1d2_rnm1d2)]).

fof(rqRealMult__k3_xcmplx_0__r1_rnm1d3_rnm1d3,theorem,(
    k3_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r1_rnm1d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r1_rnm1d3_rnm1d3)]).

fof(rqRealMult__k3_xcmplx_0__r1_rnm2d3_rnm2d3,theorem,(
    k3_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r1_rnm2d3_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r1_rnm2d3_rnm2d3)]).

fof(rqRealMult__k3_xcmplx_0__r2_rn1d2_r1,theorem,(
    k3_xcmplx_0(2,k7_xcmplx_0(1,2)) = 1 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r2_rn1d2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r2_rn1d2_r1)]).

fof(rqRealMult__k3_xcmplx_0__r2_rn1d3_rn2d3,theorem,(
    k3_xcmplx_0(2,k7_xcmplx_0(1,3)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r2_rn1d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r2_rn1d3_rn2d3)]).

fof(rqRealMult__k3_xcmplx_0__r2_rn3d2_r3,theorem,(
    k3_xcmplx_0(2,k7_xcmplx_0(3,2)) = 3 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r2_rn3d2_r3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r2_rn3d2_r3)]).

fof(rqRealMult__k3_xcmplx_0__r2_rnm1d3_rnm2d3,theorem,(
    k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r2_rnm1d3_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r2_rnm1d3_rnm2d3)]).

fof(rqRealMult__k3_xcmplx_0__r2_rnm3d2_rm3,theorem,(
    k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(3),2)) = k4_xcmplx_0(3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r2_rnm3d2_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r2_rnm3d2_rm3)]).

fof(rqRealMult__k3_xcmplx_0__r3_rn1d2_rn3d2,theorem,(
    k3_xcmplx_0(3,k7_xcmplx_0(1,2)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r3_rn1d2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r3_rn1d2_rn3d2)]).

fof(rqRealMult__k3_xcmplx_0__r3_rn1d3_r1,theorem,(
    k3_xcmplx_0(3,k7_xcmplx_0(1,3)) = 1 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r3_rn1d3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r3_rn1d3_r1)]).

fof(rqRealMult__k3_xcmplx_0__r3_rn2d3_r2,theorem,(
    k3_xcmplx_0(3,k7_xcmplx_0(2,3)) = 2 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r3_rn2d3_r2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r3_rn2d3_r2)]).

fof(rqRealMult__k3_xcmplx_0__r3_rnm1d2_rnm3d2,theorem,(
    k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r3_rnm1d2_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r3_rnm1d2_rnm3d2)]).

fof(rqRealMult__k3_xcmplx_0__r3_rnm1d3_rm1,theorem,(
    k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r3_rnm1d3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r3_rnm1d3_rm1)]).

fof(rqRealMult__k3_xcmplx_0__r3_rnm2d3_rm2,theorem,(
    k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r3_rnm2d3_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r3_rnm2d3_rm2)]).

fof(rqRealMult__k3_xcmplx_0__rm2_rn1d2_rm1,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,2)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm2_rn1d2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm2_rn1d2_rm1)]).

fof(rqRealMult__k3_xcmplx_0__rm2_rn1d3_rnm2d3,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm2_rn1d3_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm2_rn1d3_rnm2d3)]).

fof(rqRealMult__k3_xcmplx_0__rm2_rn3d2_rm3,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(3,2)) = k4_xcmplx_0(3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm2_rn3d2_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm2_rn3d2_rm3)]).

fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d2_r1,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 1 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm2_rnm1d2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm2_rnm1d2_r1)]).

fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d3_rn2d3,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm2_rnm1d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm2_rnm1d3_rn2d3)]).

fof(rqRealMult__k3_xcmplx_0__rm2_rnm3d2_r3,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 3 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm2_rnm3d2_r3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm2_rnm3d2_r3)]).

fof(rqRealMult__k3_xcmplx_0__rm3_rn1d2_rnm3d2,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm3_rn1d2_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm3_rn1d2_rnm3d2)]).

fof(rqRealMult__k3_xcmplx_0__rm3_rn1d3_rm1,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,3)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm3_rn1d3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm3_rn1d3_rm1)]).

fof(rqRealMult__k3_xcmplx_0__rm3_rn2d3_rm2,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(2,3)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm3_rn2d3_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm3_rn2d3_rm2)]).

fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d2_rn3d2,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm3_rnm1d2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm3_rnm1d2_rn3d2)]).

fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d3_r1,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = 1 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm3_rnm1d3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm3_rnm1d3_r1)]).

fof(rqRealMult__k3_xcmplx_0__rm3_rnm2d3_r2,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = 2 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm3_rnm2d3_r2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm3_rnm2d3_r2)]).

fof(rqRealMult__k3_xcmplx_0__rn1d2_r0_r0,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,2),0) = 0 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d2_r0_r0),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d2_r0_r0)]).

fof(rqRealMult__k3_xcmplx_0__rn1d2_r1_rn1d2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,2),1) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d2_r1_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d2_r1_rn1d2)]).

fof(rqRealMult__k3_xcmplx_0__rn1d2_r2_r1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,2),2) = 1 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d2_r2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d2_r2_r1)]).

fof(rqRealMult__k3_xcmplx_0__rn1d2_r3_rn3d2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,2),3) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d2_r3_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d2_r3_rn3d2)]).

fof(rqRealMult__k3_xcmplx_0__rn1d2_rm2_rm1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(2)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d2_rm2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d2_rm2_rm1)]).

fof(rqRealMult__k3_xcmplx_0__rn1d2_rm3_rnm3d2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(3)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d2_rm3_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d2_rm3_rnm3d2)]).

fof(rqRealMult__k3_xcmplx_0__rn1d3_r1_rn1d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,3),1) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d3_r1_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d3_r1_rn1d3)]).

fof(rqRealMult__k3_xcmplx_0__rn1d3_r2_rn2d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,3),2) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d3_r2_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d3_r2_rn2d3)]).

fof(rqRealMult__k3_xcmplx_0__rn1d3_r3_r1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,3),3) = 1 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d3_r3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d3_r3_r1)]).

fof(rqRealMult__k3_xcmplx_0__rn1d3_rm2_rnm2d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,3),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d3_rm2_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d3_rm2_rnm2d3)]).

fof(rqRealMult__k3_xcmplx_0__rn1d3_rm3_rm1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,3),k4_xcmplx_0(3)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d3_rm3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d3_rm3_rm1)]).

fof(rqRealMult__k3_xcmplx_0__rn2d3_r1_rn2d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(2,3),1) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn2d3_r1_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn2d3_r1_rn2d3)]).

fof(rqRealMult__k3_xcmplx_0__rn2d3_r3_r2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(2,3),3) = 2 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn2d3_r3_r2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn2d3_r3_r2)]).

fof(rqRealMult__k3_xcmplx_0__rn2d3_rm3_rm2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(2,3),k4_xcmplx_0(3)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn2d3_rm3_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn2d3_rm3_rm2)]).

fof(rqRealMult__k3_xcmplx_0__rn2d3_rn1d2_rn1d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn2d3_rn1d2_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn2d3_rn1d2_rn1d3)]).

fof(rqRealMult__k3_xcmplx_0__rn2d3_rn3d2_r1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(3,2)) = 1 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn2d3_rn3d2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn2d3_rn3d2_r1)]).

fof(rqRealMult__k3_xcmplx_0__rn2d3_rnm1d2_rnm1d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn2d3_rnm1d2_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn2d3_rnm1d2_rnm1d3)]).

fof(rqRealMult__k3_xcmplx_0__rn2d3_rnm3d2_rm1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn2d3_rnm3d2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn2d3_rnm3d2_rm1)]).

fof(rqRealMult__k3_xcmplx_0__rn3d2_r0_r0,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(3,2),0) = 0 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn3d2_r0_r0),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn3d2_r0_r0)]).

fof(rqRealMult__k3_xcmplx_0__rn3d2_r1_rn3d2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(3,2),1) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn3d2_r1_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn3d2_r1_rn3d2)]).

fof(rqRealMult__k3_xcmplx_0__rn3d2_r2_r3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(3,2),2) = 3 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn3d2_r2_r3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn3d2_r2_r3)]).

fof(rqRealMult__k3_xcmplx_0__rn3d2_rm2_rm3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(3,2),k4_xcmplx_0(2)) = k4_xcmplx_0(3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn3d2_rm2_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn3d2_rm2_rm3)]).

fof(rqRealMult__k3_xcmplx_0__rn3d2_rn1d3_rn1d2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(1,3)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn3d2_rn1d3_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn3d2_rn1d3_rn1d2)]).

fof(rqRealMult__k3_xcmplx_0__rn3d2_rn2d3_r1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(2,3)) = 1 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn3d2_rn2d3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn3d2_rn2d3_r1)]).

fof(rqRealMult__k3_xcmplx_0__rn3d2_rnm1d3_rnm1d2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn3d2_rnm1d3_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn3d2_rnm1d3_rnm1d2)]).

fof(rqRealMult__k3_xcmplx_0__rn3d2_rnm2d3_rm1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn3d2_rnm2d3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn3d2_rnm2d3_rm1)]).

fof(rqRealMult__k3_xcmplx_0__rnm1d2_r3_rnm3d2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),3) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d2_r3_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d2_r3_rnm3d2)]).

fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm3_rn3d2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(3)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d2_rm3_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d2_rm3_rn3d2)]).

fof(rqRealMult__k3_xcmplx_0__rnm1d2_rn2d3_rnm1d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d2_rn2d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d2_rn2d3_rnm1d3)]).

fof(rqRealMult__k3_xcmplx_0__rnm1d3_r1_rnm1d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),1) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d3_r1_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d3_r1_rnm1d3)]).

fof(rqRealMult__k3_xcmplx_0__rnm1d3_r2_rnm2d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),2) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d3_r2_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d3_r2_rnm2d3)]).

fof(rqRealMult__k3_xcmplx_0__rnm1d3_r3_rm1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),3) = k4_xcmplx_0(1) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d3_r3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d3_r3_rm1)]).

fof(rqRealMult__k3_xcmplx_0__rnm1d3_rm2_rn2d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k4_xcmplx_0(2)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d3_rm2_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d3_rm2_rn2d3)]).

fof(rqRealMult__k3_xcmplx_0__rnm1d3_rm3_r1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k4_xcmplx_0(3)) = 1 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d3_rm3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d3_rm3_r1)]).

fof(rqRealMult__k3_xcmplx_0__rnm1d3_rnm3d2_rn1d2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(k4_xcmplx_0(3),2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d3_rnm3d2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d3_rnm3d2_rn1d2)]).

fof(rqRealMult__k3_xcmplx_0__rnm2d3_r1_rnm2d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),1) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm2d3_r1_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm2d3_r1_rnm2d3)]).

fof(rqRealMult__k3_xcmplx_0__rnm2d3_r3_rm2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),3) = k4_xcmplx_0(2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm2d3_r3_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm2d3_r3_rm2)]).

fof(rqRealMult__k3_xcmplx_0__rnm2d3_rm3_r2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k4_xcmplx_0(3)) = 2 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm2d3_rm3_r2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm2d3_rm3_r2)]).

fof(rqRealMult__k3_xcmplx_0__rnm2d3_rn1d2_rnm1d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm2d3_rn1d2_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm2d3_rn1d2_rnm1d3)]).

fof(rqRealMult__k3_xcmplx_0__rnm2d3_rnm1d2_rn1d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm2d3_rnm1d2_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm2d3_rnm1d2_rn1d3)]).

fof(rqRealMult__k3_xcmplx_0__rnm2d3_rnm3d2_r1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 1 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm2d3_rnm3d2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm2d3_rnm3d2_r1)]).

fof(rqRealMult__k3_xcmplx_0__rnm3d2_r1_rnm3d2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),1) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm3d2_r1_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm3d2_r1_rnm3d2)]).

fof(rqRealMult__k3_xcmplx_0__rnm3d2_r2_rm3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),2) = k4_xcmplx_0(3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm3d2_r2_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm3d2_r2_rm3)]).

fof(rqRealMult__k3_xcmplx_0__rnm3d2_rm2_r3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k4_xcmplx_0(2)) = 3 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm3d2_rm2_r3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm3d2_rm2_r3)]).

fof(rqRealMult__k3_xcmplx_0__rnm3d2_rn2d3_rm1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(2,3)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm3d2_rn2d3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm3d2_rn2d3_rm1)]).

fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d3_rn1d2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d3_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d3_rn1d2)]).

fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm2d3_r1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(2),3)) = 1 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm3d2_rnm2d3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm3d2_rnm2d3_r1)]).

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__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(rqRealDiff__k6_xcmplx_0__r0_rn1d4_rnm1d4,theorem,(
    k6_xcmplx_0(0,k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_rn1d4_rnm1d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_rn1d4_rnm1d4)]).

fof(rqRealDiff__k6_xcmplx_0__r0_rn3d4_rnm3d4,theorem,(
    k6_xcmplx_0(0,k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(3),4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_rn3d4_rnm3d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_rn3d4_rnm3d4)]).

fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d4_rn1d4,theorem,(
    k6_xcmplx_0(0,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(1,4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r0_rnm1d4_rn1d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r0_rnm1d4_rn1d4)]).

fof(rqRealDiff__k6_xcmplx_0__r1_rn1d4_rn3d4,theorem,(
    k6_xcmplx_0(1,k7_xcmplx_0(1,4)) = k7_xcmplx_0(3,4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_rn1d4_rn3d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_rn1d4_rn3d4)]).

fof(rqRealDiff__k6_xcmplx_0__r1_rn3d4_rn1d4,theorem,(
    k6_xcmplx_0(1,k7_xcmplx_0(3,4)) = k7_xcmplx_0(1,4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_rn3d4_rn1d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_rn3d4_rn1d4)]).

fof(rqRealDiff__k6_xcmplx_0__r1_rn4d3_rnm1d3,theorem,(
    k6_xcmplx_0(1,k7_xcmplx_0(4,3)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_rn4d3_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_rn4d3_rnm1d3)]).

fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d3_rn4d3,theorem,(
    k6_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(4,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r1_rnm1d3_rn4d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r1_rnm1d3_rn4d3)]).

fof(rqRealDiff__k6_xcmplx_0__r2_rn2d3_rn4d3,theorem,(
    k6_xcmplx_0(2,k7_xcmplx_0(2,3)) = k7_xcmplx_0(4,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r2_rn2d3_rn4d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r2_rn2d3_rn4d3)]).

fof(rqRealDiff__k6_xcmplx_0__r2_rn4d3_rn2d3,theorem,(
    k6_xcmplx_0(2,k7_xcmplx_0(4,3)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__r2_rn4d3_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__r2_rn4d3_rn2d3)]).

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_rn1d3_rnm4d3,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rn1d3_rnm4d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rn1d3_rnm4d3)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d4_rnm3d4,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(3),4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rnm1d4_rnm3d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rnm1d4_rnm3d4)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_rnm3d4_rnm1d4,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rnm3d4_rnm1d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rnm3d4_rnm1d4)]).

fof(rqRealDiff__k6_xcmplx_0__rm1_rnm4d3_rn1d3,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(1),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rnm4d3_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm1_rnm4d3_rn1d3)]).

fof(rqRealDiff__k6_xcmplx_0__rm2_rnm2d3_rnm4d3,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rnm2d3_rnm4d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rnm2d3_rnm4d3)]).

fof(rqRealDiff__k6_xcmplx_0__rm2_rnm4d3_rnm2d3,theorem,(
    k6_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rnm4d3_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rm2_rnm4d3_rnm2d3)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d4_rn1d4,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,4)) = k7_xcmplx_0(1,4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rn1d4_rn1d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rn1d4_rn1d4)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn3d4_rnm1d4,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rn3d4_rnm1d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rn3d4_rnm1d4)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d4_rn3d4,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(3,4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d4_rn3d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d4_rn3d4)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d3_rm1_rn4d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,3),k4_xcmplx_0(1)) = k7_xcmplx_0(4,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_rm1_rn4d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_rm1_rn4d3)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d3_rn4d3_rm1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,3),k7_xcmplx_0(4,3)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_rn4d3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d3_rn4d3_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d4_r0_rn1d4,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,4),0) = k7_xcmplx_0(1,4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d4_r0_rn1d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d4_r0_rn1d4)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d4_r1_rnm3d4,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,4),1) = k7_xcmplx_0(k4_xcmplx_0(3),4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d4_r1_rnm3d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d4_r1_rnm3d4)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn1d2_rnm1d4,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d4_rn1d2_rnm1d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d4_rn1d2_rnm1d4)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn1d4_r0,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,4)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d4_rn1d4_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d4_rn1d4_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d4_rn3d4_rnm1d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d4_rn3d4_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d4_rn3d4_rnm1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d2_rn3d4,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(3,4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d2_rn3d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d2_rn3d4)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d4_rn1d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d4_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d4_rn1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rn1d4_rnm3d4_r1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn1d4_rnm3d4_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn1d4_rnm3d4_r1)]).

fof(rqRealDiff__k6_xcmplx_0__rn2d3_r2_rnm4d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(2,3),2) = k7_xcmplx_0(k4_xcmplx_0(4),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_r2_rnm4d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_r2_rnm4d3)]).

fof(rqRealDiff__k6_xcmplx_0__rn2d3_rn4d3_rnm2d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(4,3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_rn4d3_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_rn4d3_rnm2d3)]).

fof(rqRealDiff__k6_xcmplx_0__rn2d3_rnm2d3_rn4d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(4,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_rnm2d3_rn4d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_rnm2d3_rn4d3)]).

fof(rqRealDiff__k6_xcmplx_0__rn2d3_rnm4d3_r2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(k4_xcmplx_0(4),3)) = 2 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_rnm4d3_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn2d3_rnm4d3_r2)]).

fof(rqRealDiff__k6_xcmplx_0__rn3d2_rn3d4_rn3d4,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(3,4)) = k7_xcmplx_0(3,4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_rn3d4_rn3d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn3d2_rn3d4_rn3d4)]).

fof(rqRealDiff__k6_xcmplx_0__rn3d4_r0_rn3d4,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(3,4),0) = k7_xcmplx_0(3,4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn3d4_r0_rn3d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn3d4_r0_rn3d4)]).

fof(rqRealDiff__k6_xcmplx_0__rn3d4_r1_rnm1d4,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(3,4),1) = k7_xcmplx_0(k4_xcmplx_0(1),4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn3d4_r1_rnm1d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn3d4_r1_rnm1d4)]).

fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn1d2_rn1d4,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn3d4_rn1d2_rn1d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn3d4_rn1d2_rn1d4)]).

fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn1d4_rn1d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(1,4)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn3d4_rn1d4_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn3d4_rn1d4_rn1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rn3d4_rn3d4_r0,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(3,4)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn3d4_rn3d4_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn3d4_rn3d4_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rn3d4_rnm1d4_r1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn3d4_rnm1d4_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn3d4_rnm1d4_r1)]).

fof(rqRealDiff__k6_xcmplx_0__rn4d3_r0_rn4d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(4,3),0) = k7_xcmplx_0(4,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn4d3_r0_rn4d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn4d3_r0_rn4d3)]).

fof(rqRealDiff__k6_xcmplx_0__rn4d3_r1_rn1d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(4,3),1) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn4d3_r1_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn4d3_r1_rn1d3)]).

fof(rqRealDiff__k6_xcmplx_0__rn4d3_r2_rnm2d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(4,3),2) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn4d3_r2_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn4d3_r2_rnm2d3)]).

fof(rqRealDiff__k6_xcmplx_0__rn4d3_rn1d3_r1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(1,3)) = 1 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn4d3_rn1d3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn4d3_rn1d3_r1)]).

fof(rqRealDiff__k6_xcmplx_0__rn4d3_rn4d3_r0,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(4,3)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn4d3_rn4d3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn4d3_rn4d3_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rn4d3_rnm2d3_r2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = 2 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rn4d3_rnm2d3_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rn4d3_rnm2d3_r2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d4_rnm3d4,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(3),4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d4_rnm3d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d4_rnm3d4)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d4_rnm1d4,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d4_rnm1d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d4_rnm1d4)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d4_rn1d4,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(1,4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d4_rn1d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d4_rn1d4)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d3_r1_rnm4d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),1) = k7_xcmplx_0(k4_xcmplx_0(4),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_r1_rnm4d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d3_r1_rnm4d3)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d4_r0_rnm1d4,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),0) = k7_xcmplx_0(k4_xcmplx_0(1),4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d4_r0_rnm1d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d4_r0_rnm1d4)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rm1_rn3d4,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(1)) = k7_xcmplx_0(3,4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d4_rm1_rn3d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d4_rm1_rn3d4)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d2_rnm3d4,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(3),4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d2_rnm3d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d2_rnm3d4)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d4_rnm1d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d4_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d4_rnm1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rn3d4_rm1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(3,4)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d4_rn3d4_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d4_rn3d4_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d2_rn1d4,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d2_rn1d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d2_rn1d4)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d4_r0,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d4_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d4_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rnm1d4_rnm3d4_rn1d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d4_rnm3d4_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm1d4_rnm3d4_rn1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rm2_rn4d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k4_xcmplx_0(2)) = k7_xcmplx_0(4,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm2d3_rm2_rn4d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm2d3_rm2_rn4d3)]).

fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rn2d3_rnm4d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm2d3_rn2d3_rnm4d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm2d3_rn2d3_rnm4d3)]).

fof(rqRealDiff__k6_xcmplx_0__rnm2d3_rn4d3_rm2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k7_xcmplx_0(4,3)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm2d3_rn4d3_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm2d3_rn4d3_rm2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rm1_rn1d4,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k4_xcmplx_0(1)) = k7_xcmplx_0(1,4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d4_rm1_rn1d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d4_rm1_rn1d4)]).

fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rn1d4_rm1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(1,4)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d4_rn1d4_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d4_rn1d4_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d2_rnm1d4,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(1),4) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d2_rnm1d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d2_rnm1d4)]).

fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d4_rnm1d2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d4_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d4_rnm1d2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm3d4_rnm3d4_r0,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d4_rnm3d4_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm3d4_rnm3d4_r0)]).

fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rm2_rn2d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k4_xcmplx_0(2)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm4d3_rm2_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm4d3_rm2_rn2d3)]).

fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rn2d3_rm2,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(2,3)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm4d3_rn2d3_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm4d3_rn2d3_rm2)]).

fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rnm1d3_rm1,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm4d3_rnm1d3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm4d3_rnm1d3_rm1)]).

fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rnm2d3_rnm2d3,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm4d3_rnm2d3_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm4d3_rnm2d3_rnm2d3)]).

fof(rqRealDiff__k6_xcmplx_0__rnm4d3_rnm4d3_r0,theorem,(
    k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(k4_xcmplx_0(4),3)) = 0 ),
    file(arithm,rqRealDiff__k6_xcmplx_0__rnm4d3_rnm4d3_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiff__k6_xcmplx_0__rnm4d3_rnm4d3_r0)]).

fof(rqRealDiv__k7_xcmplx_0__r0_r4_r0,theorem,(
    k7_xcmplx_0(0,4) = 0 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r0_r4_r0),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r0_r4_r0)]).

fof(rqRealDiv__k7_xcmplx_0__r1_r4_rn1d4,theorem,(
    k7_xcmplx_0(1,4) = k7_xcmplx_0(1,4) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_r4_rn1d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_r4_rn1d4)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rm4_rnm1d4,theorem,(
    k7_xcmplx_0(1,k4_xcmplx_0(4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rm4_rnm1d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rm4_rnm1d4)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rn1d4_r4,theorem,(
    k7_xcmplx_0(1,k7_xcmplx_0(1,4)) = 4 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rn1d4_r4),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rn1d4_r4)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rn3d4_rn4d3,theorem,(
    k7_xcmplx_0(1,k7_xcmplx_0(3,4)) = k7_xcmplx_0(4,3) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rn3d4_rn4d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rn3d4_rn4d3)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d4_rm4,theorem,(
    k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k4_xcmplx_0(4) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rnm1d4_rm4),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rnm1d4_rm4)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rnm3d4_rnm4d3,theorem,(
    k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(k4_xcmplx_0(4),3) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rnm3d4_rnm4d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rnm3d4_rnm4d3)]).

fof(rqRealDiv__k7_xcmplx_0__r1_rnm4d3_rnm3d4,theorem,(
    k7_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(k4_xcmplx_0(3),4) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r1_rnm4d3_rnm3d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r1_rnm4d3_rnm3d4)]).

fof(rqRealDiv__k7_xcmplx_0__r2_rn1d2_r4,theorem,(
    k7_xcmplx_0(2,k7_xcmplx_0(1,2)) = 4 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r2_rn1d2_r4),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r2_rn1d2_r4)]).

fof(rqRealDiv__k7_xcmplx_0__r3_r4_rn3d4,theorem,(
    k7_xcmplx_0(3,4) = k7_xcmplx_0(3,4) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r3_r4_rn3d4),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r3_r4_rn3d4)]).

fof(rqRealDiv__k7_xcmplx_0__r4_r2_r2,theorem,(
    k7_xcmplx_0(4,2) = 2 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r4_r2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r4_r2_r2)]).

fof(rqRealDiv__k7_xcmplx_0__r4_r3_rn4d3,theorem,(
    k7_xcmplx_0(4,3) = k7_xcmplx_0(4,3) ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r4_r3_rn4d3),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r4_r3_rn4d3)]).

fof(rqRealDiv__k7_xcmplx_0__r4_r4_r1,theorem,(
    k7_xcmplx_0(4,4) = 1 ),
    file(arithm,rqRealDiv__k7_xcmplx_0__r4_r4_r1),
    [interesting(0.9),axiom,file(arithm,rqRealDiv__k7_xcmplx_0__r4_r4_r1)]).

fof(rqRealMult__k3_xcmplx_0__r0_rn1d4_r0,theorem,(
    k3_xcmplx_0(0,k7_xcmplx_0(1,4)) = 0 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r0_rn1d4_r0),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r0_rn1d4_r0)]).

fof(rqRealMult__k3_xcmplx_0__r1_rn1d4_rn1d4,theorem,(
    k3_xcmplx_0(1,k7_xcmplx_0(1,4)) = k7_xcmplx_0(1,4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r1_rn1d4_rn1d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r1_rn1d4_rn1d4)]).

fof(rqRealMult__k3_xcmplx_0__r1_rn3d4_rn3d4,theorem,(
    k3_xcmplx_0(1,k7_xcmplx_0(3,4)) = k7_xcmplx_0(3,4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r1_rn3d4_rn3d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r1_rn3d4_rn3d4)]).

fof(rqRealMult__k3_xcmplx_0__r1_rnm1d4_rnm1d4,theorem,(
    k3_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r1_rnm1d4_rnm1d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r1_rnm1d4_rnm1d4)]).

fof(rqRealMult__k3_xcmplx_0__r2_rn1d4_rn1d2,theorem,(
    k3_xcmplx_0(2,k7_xcmplx_0(1,4)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r2_rn1d4_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r2_rn1d4_rn1d2)]).

fof(rqRealMult__k3_xcmplx_0__r2_rn2d3_rn4d3,theorem,(
    k3_xcmplx_0(2,k7_xcmplx_0(2,3)) = k7_xcmplx_0(4,3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r2_rn2d3_rn4d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r2_rn2d3_rn4d3)]).

fof(rqRealMult__k3_xcmplx_0__r2_rn3d4_rn3d2,theorem,(
    k3_xcmplx_0(2,k7_xcmplx_0(3,4)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r2_rn3d4_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r2_rn3d4_rn3d2)]).

fof(rqRealMult__k3_xcmplx_0__r2_rnm1d4_rnm1d2,theorem,(
    k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r2_rnm1d4_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r2_rnm1d4_rnm1d2)]).

fof(rqRealMult__k3_xcmplx_0__r2_rnm2d3_rnm4d3,theorem,(
    k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r2_rnm2d3_rnm4d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r2_rnm2d3_rnm4d3)]).

fof(rqRealMult__k3_xcmplx_0__r2_rnm3d4_rnm3d2,theorem,(
    k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r2_rnm3d4_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r2_rnm3d4_rnm3d2)]).

fof(rqRealMult__k3_xcmplx_0__r3_rn1d4_rn3d4,theorem,(
    k3_xcmplx_0(3,k7_xcmplx_0(1,4)) = k7_xcmplx_0(3,4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r3_rn1d4_rn3d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r3_rn1d4_rn3d4)]).

fof(rqRealMult__k3_xcmplx_0__r3_rnm1d4_rnm3d4,theorem,(
    k3_xcmplx_0(3,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(3),4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r3_rnm1d4_rnm3d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r3_rnm1d4_rnm3d4)]).

fof(rqRealMult__k3_xcmplx_0__r4_rn1d2_r2,theorem,(
    k3_xcmplx_0(4,k7_xcmplx_0(1,2)) = 2 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r4_rn1d2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r4_rn1d2_r2)]).

fof(rqRealMult__k3_xcmplx_0__r4_rn1d3_rn4d3,theorem,(
    k3_xcmplx_0(4,k7_xcmplx_0(1,3)) = k7_xcmplx_0(4,3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r4_rn1d3_rn4d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r4_rn1d3_rn4d3)]).

fof(rqRealMult__k3_xcmplx_0__r4_rn1d4_r1,theorem,(
    k3_xcmplx_0(4,k7_xcmplx_0(1,4)) = 1 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r4_rn1d4_r1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r4_rn1d4_r1)]).

fof(rqRealMult__k3_xcmplx_0__r4_rn3d4_r3,theorem,(
    k3_xcmplx_0(4,k7_xcmplx_0(3,4)) = 3 ),
    file(arithm,rqRealMult__k3_xcmplx_0__r4_rn3d4_r3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r4_rn3d4_r3)]).

fof(rqRealMult__k3_xcmplx_0__r4_rnm1d2_rm2,theorem,(
    k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r4_rnm1d2_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r4_rnm1d2_rm2)]).

fof(rqRealMult__k3_xcmplx_0__r4_rnm1d3_rnm4d3,theorem,(
    k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r4_rnm1d3_rnm4d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r4_rnm1d3_rnm4d3)]).

fof(rqRealMult__k3_xcmplx_0__r4_rnm1d4_rm1,theorem,(
    k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r4_rnm1d4_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r4_rnm1d4_rm1)]).

fof(rqRealMult__k3_xcmplx_0__r4_rnm3d4_rm3,theorem,(
    k3_xcmplx_0(4,k7_xcmplx_0(k4_xcmplx_0(3),4)) = k4_xcmplx_0(3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r4_rnm3d4_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r4_rnm3d4_rm3)]).

fof(rqRealMult__k3_xcmplx_0__rm2_rn1d4_rnm1d2,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm2_rn1d4_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm2_rn1d4_rnm1d2)]).

fof(rqRealMult__k3_xcmplx_0__rm2_rn2d3_rnm4d3,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm2_rn2d3_rnm4d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm2_rn2d3_rnm4d3)]).

fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d4_rn1d2,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm2_rnm1d4_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm2_rnm1d4_rn1d2)]).

fof(rqRealMult__k3_xcmplx_0__rm2_rnm2d3_rn4d3,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(k4_xcmplx_0(2),3)) = k7_xcmplx_0(4,3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm2_rnm2d3_rn4d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm2_rnm2d3_rn4d3)]).

fof(rqRealMult__k3_xcmplx_0__rm3_rn1d4_rnm3d4,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(3),4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm3_rn1d4_rnm3d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm3_rn1d4_rnm3d4)]).

fof(rqRealMult__k3_xcmplx_0__rm3_rnm1d4_rn3d4,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(3),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(3,4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm3_rnm1d4_rn3d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm3_rnm1d4_rn3d4)]).

fof(rqRealMult__k3_xcmplx_0__rm4_rn1d2_rm2,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,2)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm4_rn1d2_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm4_rn1d2_rm2)]).

fof(rqRealMult__k3_xcmplx_0__rm4_rn1d3_rnm4d3,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm4_rn1d3_rnm4d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm4_rn1d3_rnm4d3)]).

fof(rqRealMult__k3_xcmplx_0__rm4_rn1d4_rm1,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(1,4)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm4_rn1d4_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm4_rn1d4_rm1)]).

fof(rqRealMult__k3_xcmplx_0__rm4_rn3d4_rm3,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(3,4)) = k4_xcmplx_0(3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm4_rn3d4_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm4_rn3d4_rm3)]).

fof(rqRealMult__k3_xcmplx_0__rm4_rnm1d2_r2,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(1),2)) = 2 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm4_rnm1d2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm4_rnm1d2_r2)]).

fof(rqRealMult__k3_xcmplx_0__rm4_rnm1d3_rn4d3,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(1),3)) = k7_xcmplx_0(4,3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm4_rnm1d3_rn4d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm4_rnm1d3_rn4d3)]).

fof(rqRealMult__k3_xcmplx_0__rm4_rnm1d4_r1,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = 1 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm4_rnm1d4_r1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm4_rnm1d4_r1)]).

fof(rqRealMult__k3_xcmplx_0__rm4_rnm3d4_r3,theorem,(
    k3_xcmplx_0(k4_xcmplx_0(4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = 3 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rm4_rnm3d4_r3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rm4_rnm3d4_r3)]).

fof(rqRealMult__k3_xcmplx_0__rn1d2_r4_r2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,2),4) = 2 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d2_r4_r2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d2_r4_r2)]).

fof(rqRealMult__k3_xcmplx_0__rn1d2_rm4_rm2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,2),k4_xcmplx_0(4)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d2_rm4_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d2_rm4_rm2)]).

fof(rqRealMult__k3_xcmplx_0__rn1d2_rn1d2_rn1d4,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,2)) = k7_xcmplx_0(1,4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d2_rn1d2_rn1d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d2_rn1d2_rn1d4)]).

fof(rqRealMult__k3_xcmplx_0__rn1d2_rn3d2_rn3d4,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(3,2)) = k7_xcmplx_0(3,4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d2_rn3d2_rn3d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d2_rn3d2_rn3d4)]).

fof(rqRealMult__k3_xcmplx_0__rn1d2_rnm1d2_rnm1d4,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(k4_xcmplx_0(1),4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d2_rnm1d2_rnm1d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d2_rnm1d2_rnm1d4)]).

fof(rqRealMult__k3_xcmplx_0__rn1d3_r4_rn4d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,3),4) = k7_xcmplx_0(4,3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d3_r4_rn4d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d3_r4_rn4d3)]).

fof(rqRealMult__k3_xcmplx_0__rn1d4_r0_r0,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,4),0) = 0 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d4_r0_r0),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d4_r0_r0)]).

fof(rqRealMult__k3_xcmplx_0__rn1d4_r1_rn1d4,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,4),1) = k7_xcmplx_0(1,4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d4_r1_rn1d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d4_r1_rn1d4)]).

fof(rqRealMult__k3_xcmplx_0__rn1d4_r2_rn1d2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,4),2) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d4_r2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d4_r2_rn1d2)]).

fof(rqRealMult__k3_xcmplx_0__rn1d4_r3_rn3d4,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,4),3) = k7_xcmplx_0(3,4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d4_r3_rn3d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d4_r3_rn3d4)]).

fof(rqRealMult__k3_xcmplx_0__rn1d4_r4_r1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,4),4) = 1 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d4_r4_r1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d4_r4_r1)]).

fof(rqRealMult__k3_xcmplx_0__rn1d4_rm2_rnm1d2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,4),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d4_rm2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d4_rm2_rnm1d2)]).

fof(rqRealMult__k3_xcmplx_0__rn1d4_rm3_rnm3d4,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,4),k4_xcmplx_0(3)) = k7_xcmplx_0(k4_xcmplx_0(3),4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d4_rm3_rnm3d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d4_rm3_rnm3d4)]).

fof(rqRealMult__k3_xcmplx_0__rn1d4_rm4_rm1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(1,4),k4_xcmplx_0(4)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn1d4_rm4_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn1d4_rm4_rm1)]).

fof(rqRealMult__k3_xcmplx_0__rn2d3_r2_rn4d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(2,3),2) = k7_xcmplx_0(4,3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn2d3_r2_rn4d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn2d3_r2_rn4d3)]).

fof(rqRealMult__k3_xcmplx_0__rn3d2_rn4d3_r2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(4,3)) = 2 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn3d2_rn4d3_r2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn3d2_rn4d3_r2)]).

fof(rqRealMult__k3_xcmplx_0__rn3d2_rnm4d3_rm2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(3,2),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn3d2_rnm4d3_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn3d2_rnm4d3_rm2)]).

fof(rqRealMult__k3_xcmplx_0__rn3d4_r1_rn3d4,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(3,4),1) = k7_xcmplx_0(3,4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn3d4_r1_rn3d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn3d4_r1_rn3d4)]).

fof(rqRealMult__k3_xcmplx_0__rn3d4_r2_rn3d2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(3,4),2) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn3d4_r2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn3d4_r2_rn3d2)]).

fof(rqRealMult__k3_xcmplx_0__rn3d4_r4_r3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(3,4),4) = 3 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn3d4_r4_r3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn3d4_r4_r3)]).

fof(rqRealMult__k3_xcmplx_0__rn3d4_rm2_rnm3d2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(3,4),k4_xcmplx_0(2)) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn3d4_rm2_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn3d4_rm2_rnm3d2)]).

fof(rqRealMult__k3_xcmplx_0__rn3d4_rm4_rm3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(3,4),k4_xcmplx_0(4)) = k4_xcmplx_0(3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn3d4_rm4_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn3d4_rm4_rm3)]).

fof(rqRealMult__k3_xcmplx_0__rn3d4_rn4d3_r1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(4,3)) = 1 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn3d4_rn4d3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn3d4_rn4d3_r1)]).

fof(rqRealMult__k3_xcmplx_0__rn3d4_rnm4d3_rm1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(k4_xcmplx_0(4),3)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn3d4_rnm4d3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn3d4_rnm4d3_rm1)]).

fof(rqRealMult__k3_xcmplx_0__rn4d3_r1_rn4d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(4,3),1) = k7_xcmplx_0(4,3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn4d3_r1_rn4d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn4d3_r1_rn4d3)]).

fof(rqRealMult__k3_xcmplx_0__rn4d3_r3_r4,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(4,3),3) = 4 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn4d3_r3_r4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn4d3_r3_r4)]).

fof(rqRealMult__k3_xcmplx_0__rn4d3_rn1d4_rn1d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(1,4)) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn4d3_rn1d4_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn4d3_rn1d4_rn1d3)]).

fof(rqRealMult__k3_xcmplx_0__rn4d3_rn3d4_r1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(3,4)) = 1 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn4d3_rn3d4_r1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn4d3_rn3d4_r1)]).

fof(rqRealMult__k3_xcmplx_0__rn4d3_rnm1d4_rnm1d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn4d3_rnm1d4_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn4d3_rnm1d4_rnm1d3)]).

fof(rqRealMult__k3_xcmplx_0__rn4d3_rnm3d4_rm1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rn4d3_rnm3d4_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rn4d3_rnm3d4_rm1)]).

fof(rqRealMult__k3_xcmplx_0__rnm1d2_r4_rm2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),4) = k4_xcmplx_0(2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d2_r4_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d2_r4_rm2)]).

fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm4_r2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(4)) = 2 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d2_rm4_r2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d2_rm4_r2)]).

fof(rqRealMult__k3_xcmplx_0__rnm1d2_rn1d2_rnm1d4,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(1),4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d2_rn1d2_rnm1d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d2_rn1d2_rnm1d4)]).

fof(rqRealMult__k3_xcmplx_0__rnm1d2_rnm1d2_rn1d4,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(1,4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d2_rnm1d2_rn1d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d2_rnm1d2_rn1d4)]).

fof(rqRealMult__k3_xcmplx_0__rnm1d4_r1_rnm1d4,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),1) = k7_xcmplx_0(k4_xcmplx_0(1),4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d4_r1_rnm1d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d4_r1_rnm1d4)]).

fof(rqRealMult__k3_xcmplx_0__rnm1d4_r2_rnm1d2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),2) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d4_r2_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d4_r2_rnm1d2)]).

fof(rqRealMult__k3_xcmplx_0__rnm1d4_r3_rnm3d4,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),3) = k7_xcmplx_0(k4_xcmplx_0(3),4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d4_r3_rnm3d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d4_r3_rnm3d4)]).

fof(rqRealMult__k3_xcmplx_0__rnm1d4_r4_rm1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),4) = k4_xcmplx_0(1) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d4_r4_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d4_r4_rm1)]).

fof(rqRealMult__k3_xcmplx_0__rnm1d4_rm2_rn1d2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(2)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d4_rm2_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d4_rm2_rn1d2)]).

fof(rqRealMult__k3_xcmplx_0__rnm1d4_rm3_rn3d4,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(3)) = k7_xcmplx_0(3,4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d4_rm3_rn3d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d4_rm3_rn3d4)]).

fof(rqRealMult__k3_xcmplx_0__rnm1d4_rm4_r1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k4_xcmplx_0(4)) = 1 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d4_rm4_r1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d4_rm4_r1)]).

fof(rqRealMult__k3_xcmplx_0__rnm2d3_r2_rnm4d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),2) = k7_xcmplx_0(k4_xcmplx_0(4),3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm2d3_r2_rnm4d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm2d3_r2_rnm4d3)]).

fof(rqRealMult__k3_xcmplx_0__rnm2d3_rm2_rn4d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2),3),k4_xcmplx_0(2)) = k7_xcmplx_0(4,3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm2d3_rm2_rn4d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm2d3_rm2_rn4d3)]).

fof(rqRealMult__k3_xcmplx_0__rnm3d2_rn1d2_rnm3d4,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(3),4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm3d2_rn1d2_rnm3d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm3d2_rn1d2_rnm3d4)]).

fof(rqRealMult__k3_xcmplx_0__rnm3d2_rn4d3_rm2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(4,3)) = k4_xcmplx_0(2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm3d2_rn4d3_rm2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm3d2_rn4d3_rm2)]).

fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d2_rn3d4,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(3,4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d2_rn3d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d2_rn3d4)]).

fof(rqRealMult__k3_xcmplx_0__rnm3d2_rnm4d3_r2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),2),k7_xcmplx_0(k4_xcmplx_0(4),3)) = 2 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm3d2_rnm4d3_r2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm3d2_rnm4d3_r2)]).

fof(rqRealMult__k3_xcmplx_0__rnm3d4_r1_rnm3d4,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),1) = k7_xcmplx_0(k4_xcmplx_0(3),4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm3d4_r1_rnm3d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm3d4_r1_rnm3d4)]).

fof(rqRealMult__k3_xcmplx_0__rnm3d4_r2_rnm3d2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),2) = k7_xcmplx_0(k4_xcmplx_0(3),2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm3d4_r2_rnm3d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm3d4_r2_rnm3d2)]).

fof(rqRealMult__k3_xcmplx_0__rnm3d4_r4_rm3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),4) = k4_xcmplx_0(3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm3d4_r4_rm3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm3d4_r4_rm3)]).

fof(rqRealMult__k3_xcmplx_0__rnm3d4_rm2_rn3d2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k4_xcmplx_0(2)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm3d4_rm2_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm3d4_rm2_rn3d2)]).

fof(rqRealMult__k3_xcmplx_0__rnm3d4_rm4_r3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k4_xcmplx_0(4)) = 3 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm3d4_rm4_r3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm3d4_rm4_r3)]).

fof(rqRealMult__k3_xcmplx_0__rnm3d4_rn1d3_rnm1d4,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(1,3)) = k7_xcmplx_0(k4_xcmplx_0(1),4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm3d4_rn1d3_rnm1d4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm3d4_rn1d3_rnm1d4)]).

fof(rqRealMult__k3_xcmplx_0__rnm3d4_rn4d3_rm1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(4,3)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm3d4_rn4d3_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm3d4_rn4d3_rm1)]).

fof(rqRealMult__k3_xcmplx_0__rnm3d4_rnm4d3_r1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(4),3)) = 1 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm3d4_rnm4d3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm3d4_rnm4d3_r1)]).

fof(rqRealMult__k3_xcmplx_0__rnm4d3_r1_rnm4d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),1) = k7_xcmplx_0(k4_xcmplx_0(4),3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm4d3_r1_rnm4d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm4d3_r1_rnm4d3)]).

fof(rqRealMult__k3_xcmplx_0__rnm4d3_r3_rm4,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),3) = k4_xcmplx_0(4) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm4d3_r3_rm4),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm4d3_r3_rm4)]).

fof(rqRealMult__k3_xcmplx_0__rnm4d3_rn1d2_rnm2d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(1,2)) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm4d3_rn1d2_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm4d3_rn1d2_rnm2d3)]).

fof(rqRealMult__k3_xcmplx_0__rnm4d3_rn1d4_rnm1d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(1),3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm4d3_rn1d4_rnm1d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm4d3_rn1d4_rnm1d3)]).

fof(rqRealMult__k3_xcmplx_0__rnm4d3_rn3d4_rm1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(3,4)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm4d3_rn3d4_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm4d3_rn3d4_rm1)]).

fof(rqRealMult__k3_xcmplx_0__rnm4d3_rnm1d2_rn2d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(k4_xcmplx_0(1),2)) = k7_xcmplx_0(2,3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm4d3_rnm1d2_rn2d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm4d3_rnm1d2_rn2d3)]).

fof(rqRealMult__k3_xcmplx_0__rnm4d3_rnm1d4_rn1d3,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(1,3) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm4d3_rnm1d4_rn1d3),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm4d3_rnm1d4_rn1d3)]).

fof(rqRealMult__k3_xcmplx_0__rnm4d3_rnm3d2_r2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(k4_xcmplx_0(3),2)) = 2 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm4d3_rnm3d2_r2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm4d3_rnm3d2_r2)]).

fof(rqRealMult__k3_xcmplx_0__rnm4d3_rnm3d4_r1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3),k7_xcmplx_0(k4_xcmplx_0(3),4)) = 1 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm4d3_rnm3d4_r1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm4d3_rnm3d4_r1)]).

fof(rqRealNeg__k4_xcmplx_0__rn1d4_rnm1d4,theorem,(
    k4_xcmplx_0(k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rn1d4_rnm1d4),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rn1d4_rnm1d4)]).

fof(rqRealNeg__k4_xcmplx_0__rn3d4_rnm3d4,theorem,(
    k4_xcmplx_0(k7_xcmplx_0(3,4)) = k7_xcmplx_0(k4_xcmplx_0(3),4) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rn3d4_rnm3d4),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rn3d4_rnm3d4)]).

fof(rqRealNeg__k4_xcmplx_0__rn4d3_rnm4d3,theorem,(
    k4_xcmplx_0(k7_xcmplx_0(4,3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rn4d3_rnm4d3),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rn4d3_rnm4d3)]).

fof(rqRealNeg__k4_xcmplx_0__rnm1d4_rn1d4,theorem,(
    k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(1,4) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rnm1d4_rn1d4),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rnm1d4_rn1d4)]).

fof(rqRealNeg__k4_xcmplx_0__rnm3d4_rn3d4,theorem,(
    k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(3,4) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rnm3d4_rn3d4),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rnm3d4_rn3d4)]).

fof(rqRealNeg__k4_xcmplx_0__rnm4d3_rn4d3,theorem,(
    k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(4),3)) = k7_xcmplx_0(4,3) ),
    file(arithm,rqRealNeg__k4_xcmplx_0__rnm4d3_rn4d3),
    [interesting(0.9),axiom,file(arithm,rqRealNeg__k4_xcmplx_0__rnm4d3_rn4d3)]).

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_rn1d4_rn1d4,theorem,(
    k2_xcmplx_0(0,k7_xcmplx_0(1,4)) = k7_xcmplx_0(1,4) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r0_rn1d4_rn1d4),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r0_rn1d4_rn1d4)]).

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_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_rn1d3_rn4d3,theorem,(
    k2_xcmplx_0(1,k7_xcmplx_0(1,3)) = k7_xcmplx_0(4,3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_rn1d3_rn4d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_rn1d3_rn4d3)]).

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_rnm1d4_rn3d4,theorem,(
    k2_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(3,4) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_rnm1d4_rn3d4),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_rnm1d4_rn3d4)]).

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__r1_rnm3d4_rn1d4,theorem,(
    k2_xcmplx_0(1,k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(1,4) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__r1_rnm3d4_rn1d4),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__r1_rnm3d4_rn1d4)]).

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__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_rn2d3_rnm4d3,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(2,3)) = k7_xcmplx_0(k4_xcmplx_0(4),3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm2_rn2d3_rnm4d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm2_rn2d3_rnm4d3)]).

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__rm2_rn4d3_rnm2d3,theorem,(
    k2_xcmplx_0(k4_xcmplx_0(2),k7_xcmplx_0(4,3)) = k7_xcmplx_0(k4_xcmplx_0(2),3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rm2_rn4d3_rnm2d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rm2_rn4d3_rnm2d3)]).

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_rn1d4_rn3d4,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(1,4)) = k7_xcmplx_0(3,4) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rn1d4_rn3d4),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rn1d4_rn3d4)]).

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_rnm1d4_rn1d4,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(1,4) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d4_rn1d4),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d4_rn1d4)]).

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__rn1d2_rnm3d4_rnm1d4,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,2),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d4_rnm1d4),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d4_rnm1d4)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d3_r1_rn4d3,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,3),1) = k7_xcmplx_0(4,3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d3_r1_rn4d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d3_r1_rn4d3)]).

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__rn1d4_r0_rn1d4,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,4),0) = k7_xcmplx_0(1,4) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d4_r0_rn1d4),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d4_r0_rn1d4)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn1d2_rn3d4,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,2)) = k7_xcmplx_0(3,4) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d4_rn1d2_rn3d4),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d4_rn1d2_rn3d4)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn1d4_rn1d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(1,4)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d4_rn1d4_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d4_rn1d4_rn1d2)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d4_rn3d4_r1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(3,4)) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d4_rn3d4_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d4_rn3d4_r1)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d4_rnm1d4_r0,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d4_rnm1d4_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d4_rnm1d4_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rn1d4_rnm3d4_rnm1d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(1,4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn1d4_rnm3d4_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn1d4_rnm3d4_rnm1d2)]).

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_rn2d3_rn4d3,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(2,3)) = k7_xcmplx_0(4,3) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn2d3_rn2d3_rn4d3),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn2d3_rn2d3_rn4d3)]).

fof(rqRealAdd__k2_xcmplx_0__rn2d3_rn4d3_r2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(2,3),k7_xcmplx_0(4,3)) = 2 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn2d3_rn4d3_r2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn2d3_rn4d3_r2)]).

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__rn3d4_rn1d4_r1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(1,4)) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn3d4_rn1d4_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn3d4_rn1d4_r1)]).

fof(rqRealAdd__k2_xcmplx_0__rn3d4_rn3d4_rn3d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(3,4)) = k7_xcmplx_0(3,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn3d4_rn3d4_rn3d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn3d4_rn3d4_rn3d2)]).

fof(rqRealAdd__k2_xcmplx_0__rn3d4_rnm1d4_rn1d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn3d4_rnm1d4_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn3d4_rnm1d4_rn1d2)]).

fof(rqRealAdd__k2_xcmplx_0__rn3d4_rnm3d4_r0,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(3,4),k7_xcmplx_0(k4_xcmplx_0(3),4)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn3d4_rnm3d4_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn3d4_rnm3d4_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rn4d3_rn2d3_r2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(2,3)) = 2 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn4d3_rn2d3_r2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn4d3_rn2d3_r2)]).

fof(rqRealAdd__k2_xcmplx_0__rn4d3_rnm1d3_r1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(4,3),k7_xcmplx_0(k4_xcmplx_0(1),3)) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rn4d3_rnm1d3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rn4d3_rnm1d3_r1)]).

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_rn1d4_rnm1d4,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k7_xcmplx_0(1,4)) = k7_xcmplx_0(k4_xcmplx_0(1),4) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d4_rnm1d4),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d4_rnm1d4)]).

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_rn4d3_r1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),3),k7_xcmplx_0(4,3)) = 1 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d3_rn4d3_r1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d3_rn4d3_r1)]).

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__rnm1d4_r1_rn3d4,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),1) = k7_xcmplx_0(3,4) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d4_r1_rn3d4),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d4_r1_rn3d4)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rn1d4_r0,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(1,4)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d4_rn1d4_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d4_rn1d4_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rn3d4_rn1d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(3,4)) = k7_xcmplx_0(1,2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d4_rn3d4_rn1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d4_rn3d4_rn1d2)]).

fof(rqRealAdd__k2_xcmplx_0__rnm1d4_rnm1d4_rnm1d2,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d4_rnm1d4_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm1d4_rnm1d4_rnm1d2)]).

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(rqRealAdd__k2_xcmplx_0__rnm3d4_r1_rn1d4,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),1) = k7_xcmplx_0(1,4) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm3d4_r1_rn1d4),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm3d4_r1_rn1d4)]).

fof(rqRealAdd__k2_xcmplx_0__rnm3d4_rn3d4_r0,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(3,4)) = 0 ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm3d4_rn3d4_r0),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm3d4_rn3d4_r0)]).

fof(rqRealAdd__k2_xcmplx_0__rnm3d4_rnm1d4_rm1,theorem,(
    k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(3),4),k7_xcmplx_0(k4_xcmplx_0(1),4)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealAdd__k2_xcmplx_0__rnm3d4_rnm1d4_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealAdd__k2_xcmplx_0__rnm3d4_rnm1d4_rm1)]).

fof(e3_6__abian,plain,(
    c1_6__abian = k2_xcmplx_0(k3_xcmplx_0(2,c2_6__abian),1) ),
    inference(consider,[status(thm),assumptions([e2_6__abian])],[dh_c2_6__abian,e2_6__abian]),
    [interesting(0.8),file(abian,e3_6__abian),[file(abian,e3_6__abian)]]).

fof(e5_6__abian,plain,(
    c1_6__abian = k3_xcmplx_0(2,c3_6__abian) ),
    inference(consider,[status(thm),assumptions([e4_6__abian])],[dh_c3_6__abian,e4_6__abian]),
    [interesting(0.8),file(abian,e5_6__abian),[file(abian,e5_6__abian)]]).

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(rqRealMult__k3_xcmplx_0__rnm1d2_rm2_r1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),k4_xcmplx_0(2)) = 1 ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d2_rm2_r1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d2_rm2_r1)]).

fof(rqRealMult__k3_xcmplx_0__rnm1d2_r2_rm1,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),2) = k4_xcmplx_0(1) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d2_r2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d2_r2_rm1)]).

fof(rqRealMult__k3_xcmplx_0__rnm1d2_r1_rnm1d2,theorem,(
    k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1),2),1) = k7_xcmplx_0(k4_xcmplx_0(1),2) ),
    file(arithm,rqRealMult__k3_xcmplx_0__rnm1d2_r1_rnm1d2),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__rnm1d2_r1_rnm1d2)]).

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(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(rqRealMult__k3_xcmplx_0__r2_rnm1d2_rm1,theorem,(
    k3_xcmplx_0(2,k7_xcmplx_0(k4_xcmplx_0(1),2)) = k4_xcmplx_0(1) ),
    file(arithm,rqRealMult__k3_xcmplx_0__r2_rnm1d2_rm1),
    [interesting(0.9),axiom,file(arithm,rqRealMult__k3_xcmplx_0__r2_rnm1d2_rm1)]).

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(e6_6__abian,plain,(
    1 = k6_xcmplx_0(k3_xcmplx_0(2,c3_6__abian),k3_xcmplx_0(2,c2_6__abian)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__abian,e2_6__abian,e4_6__abian])],[reflexivity_r1_tarski,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,cc20_membered,cc2_finset_1,cc2_membered,cc3_int_1,cc3_membered,cc4_membered,cc6_membered,cc9_membered,fc1_ordinal2,fc1_subset_1,fc5_membered,fc6_membered,rc1_finset_1,rc1_int_1,rc1_membered,rc1_subset_1,rc2_subset_1,rc3_finset_1,rc4_finset_1,t1_subset,t3_subset,t4_subset,t5_subset,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_numbers,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,cc15_membered,cc1_finset_1,cc1_funct_1,cc2_int_1,cc4_int_1,fc1_int_1,fc2_int_1,fc2_membered,fc3_int_1,fc4_int_1,fc5_int_1,fc6_int_1,fc7_int_1,fc8_int_1,fc9_int_1,rc2_int_1,spc1_arithm,spc2_arithm,spc4_arithm,spc5_arithm,spc6_arithm,spc7_arithm,spc8_arithm,spc9_arithm,t1_arithm,t1_numerals,t2_arithm,t2_subset,t3_arithm,t4_arithm,t5_arithm,t6_arithm,t6_boole,t7_boole,t8_boole,commutativity_k2_xcmplx_0,commutativity_k3_xcmplx_0,involutiveness_k4_xcmplx_0,dt_k2_xcmplx_0,dt_k3_xcmplx_0,dt_k4_xcmplx_0,dt_k6_xcmplx_0,dt_k7_xcmplx_0,dt_c1_6__abian,dt_c2_6__abian,dt_c3_6__abian,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_r4_r4,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_rn1d4_rn1d4,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_r3_r4,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_rm4_rm3,rqRealAdd__k2_xcmplx_0__r1_rn1d2_rn3d2,rqRealAdd__k2_xcmplx_0__r1_rn1d3_rn4d3,rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2,rqRealAdd__k2_xcmplx_0__r1_rnm1d3_rn2d3,rqRealAdd__k2_xcmplx_0__r1_rnm1d4_rn3d4,rqRealAdd__k2_xcmplx_0__r1_rnm2d3_rn1d3,rqRealAdd__k2_xcmplx_0__r1_rnm3d2_rnm1d2,rqRealAdd__k2_xcmplx_0__r1_rnm3d4_rn1d4,rqRealAdd__k2_xcmplx_0__r2_r0_r2,rqRealAdd__k2_xcmplx_0__r2_r1_r3,rqRealAdd__k2_xcmplx_0__r2_r2_r4,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_rm4_rm2,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_r1_r4,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__r3_rm4_rm1,rqRealAdd__k2_xcmplx_0__r4_r0_r4,rqRealAdd__k2_xcmplx_0__r4_rm1_r3,rqRealAdd__k2_xcmplx_0__r4_rm2_r2,rqRealAdd__k2_xcmplx_0__r4_rm3_r1,rqRealAdd__k2_xcmplx_0__r4_rm4_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_r4_r3,rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2,rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3,rqRealAdd__k2_xcmplx_0__rm1_rm3_rm4,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_r4_r2,rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3,rqRealAdd__k2_xcmplx_0__rm2_rm2_rm4,rqRealAdd__k2_xcmplx_0__rm2_rn2d3_rnm4d3,rqRealAdd__k2_xcmplx_0__rm2_rn3d2_rnm1d2,rqRealAdd__k2_xcmplx_0__rm2_rn4d3_rnm2d3,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__rm3_r4_r1,rqRealAdd__k2_xcmplx_0__rm3_rm1_rm4,rqRealAdd__k2_xcmplx_0__rm4_r1_rm3,rqRealAdd__k2_xcmplx_0__rm4_r2_rm2,rqRealAdd__k2_xcmplx_0__rm4_r3_rm1,rqRealAdd__k2_xcmplx_0__rm4_r4_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_rn1d4_rn3d4,rqRealAdd__k2_xcmplx_0__rn1d2_rn3d2_r2,rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0,rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d4_rn1d4,rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d2_rm1,rqRealAdd__k2_xcmplx_0__rn1d2_rnm3d4_rnm1d4,rqRealAdd__k2_xcmplx_0__rn1d3_r1_rn4d3,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__rn1d4_r0_rn1d4,rqRealAdd__k2_xcmplx_0__rn1d4_rn1d2_rn3d4,rqRealAdd__k2_xcmplx_0__rn1d4_rn1d4_rn1d2,rqRealAdd__k2_xcmplx_0__rn1d4_rn3d4_r1,rqRealAdd__k2_xcmplx_0__rn1d4_rnm1d4_r0,rqRealAdd__k2_xcmplx_0__rn1d4_rnm3d4_rnm1d2,rqRealAdd__k2_xcmplx_0__rn2d3_r0_rn2d3,rqRealAdd__k2_xcmplx_0__rn2d3_rn1d3_r1,rqRealAdd__k2_xcmplx_0__rn2d3_rn2d3_rn4d3,rqRealAdd__k2_xcmplx_0__rn2d3_rn4d3_r2,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__rn3d4_rn1d4_r1,rqRealAdd__k2_xcmplx_0__rn3d4_rn3d4_rn3d2,rqRealAdd__k2_xcmplx_0__rn3d4_rnm1d4_rn1d2,rqRealAdd__k2_xcmplx_0__rn3d4_rnm3d4_r0,rqRealAdd__k2_xcmplx_0__rn4d3_rn2d3_r2,rqRealAdd__k2_xcmplx_0__rn4d3_rnm1d3_r1,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_rn1d4_rnm1d4,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_rn4d3_r1,rqRealAdd__k2_xcmplx_0__rnm1d3_rnm1d3_rnm2d3,rqRealAdd__k2_xcmplx_0__rnm1d3_rnm2d3_rm1,rqRealAdd__k2_xcmplx_0__rnm1d4_r1_rn3d4,rqRealAdd__k2_xcmplx_0__rnm1d4_rn1d4_r0,rqRealAdd__k2_xcmplx_0__rnm1d4_rn3d4_rn1d2,rqRealAdd__k2_xcmplx_0__rnm1d4_rnm1d4_rnm1d2,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,rqRealAdd__k2_xcmplx_0__rnm3d4_r1_rn1d4,rqRealAdd__k2_xcmplx_0__rnm3d4_rn3d4_r0,rqRealAdd__k2_xcmplx_0__rnm3d4_rnm1d4_rm1,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_r4_rm4,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_rm4_r4,rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2,rqRealDiff__k6_xcmplx_0__r0_rn1d3_rnm1d3,rqRealDiff__k6_xcmplx_0__r0_rn1d4_rnm1d4,rqRealDiff__k6_xcmplx_0__r0_rn2d3_rnm2d3,rqRealDiff__k6_xcmplx_0__r0_rn3d2_rnm3d2,rqRealDiff__k6_xcmplx_0__r0_rn3d4_rnm3d4,rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2,rqRealDiff__k6_xcmplx_0__r0_rnm1d4_rn1d4,rqRealDiff__k6_xcmplx_0__r0_rnm2d3_rn2d3,rqRealDiff__k6_xcmplx_0__r1_r0_r1,rqRealDiff__k6_xcmplx_0__r1_r3_rm2,rqRealDiff__k6_xcmplx_0__r1_r4_rm3,rqRealDiff__k6_xcmplx_0__r1_rm1_r2,rqRealDiff__k6_xcmplx_0__r1_rm2_r3,rqRealDiff__k6_xcmplx_0__r1_rm3_r4,rqRealDiff__k6_xcmplx_0__r1_rn1d3_rn2d3,rqRealDiff__k6_xcmplx_0__r1_rn1d4_rn3d4,rqRealDiff__k6_xcmplx_0__r1_rn2d3_rn1d3,rqRealDiff__k6_xcmplx_0__r1_rn3d2_rnm1d2,rqRealDiff__k6_xcmplx_0__r1_rn3d4_rn1d4,rqRealDiff__k6_xcmplx_0__r1_rn4d3_rnm1d3,rqRealDiff__k6_xcmplx_0__r1_rnm1d2_rn3d2,rqRealDiff__k6_xcmplx_0__r1_rnm1d3_rn4d3,rqRealDiff__k6_xcmplx_0__r2_r0_r2,rqRealDiff__k6_xcmplx_0__r2_r3_rm1,rqRealDiff__k6_xcmplx_0__r2_r4_rm2,rqRealDiff__k6_xcmplx_0__r2_rm1_r3,rqRealDiff__k6_xcmplx_0__r2_rn2d3_rn4d3,rqRealDiff__k6_xcmplx_0__r2_rn3d2_rn1d2,rqRealDiff__k6_xcmplx_0__r2_rn4d3_rn2d3,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_r4_rm1,rqRealDiff__k6_xcmplx_0__r3_rm1_r4,rqRealDiff__k6_xcmplx_0__r3_rn3d2_rn3d2,rqRealDiff__k6_xcmplx_0__r4_r0_r4,rqRealDiff__k6_xcmplx_0__r4_r1_r3,rqRealDiff__k6_xcmplx_0__r4_r3_r1,rqRealDiff__k6_xcmplx_0__r4_r4_r0,rqRealDiff__k6_xcmplx_0__rm1_r0_rm1,rqRealDiff__k6_xcmplx_0__rm1_r1_rm2,rqRealDiff__k6_xcmplx_0__rm1_r2_rm3,rqRealDiff__k6_xcmplx_0__rm1_r3_rm4,rqRealDiff__k6_xcmplx_0__rm1_rm3_r2,rqRealDiff__k6_xcmplx_0__rm1_rm4_r3,rqRealDiff__k6_xcmplx_0__rm1_rn1d2_rnm3d2,rqRealDiff__k6_xcmplx_0__rm1_rn1d3_rnm4d3,rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2,rqRealDiff__k6_xcmplx_0__rm1_rnm1d3_rnm2d3,rqRealDiff__k6_xcmplx_0__rm1_rnm1d4_rnm3d4,rqRealDiff__k6_xcmplx_0__rm1_rnm2d3_rnm1d3,rqRealDiff__k6_xcmplx_0__rm1_rnm3d2_rn1d2,rqRealDiff__k6_xcmplx_0__rm1_rnm3d4_rnm1d4,rqRealDiff__k6_xcmplx_0__rm1_rnm4d3_rn1d3,rqRealDiff__k6_xcmplx_0__rm2_r0_rm2,rqRealDiff__k6_xcmplx_0__rm2_rm3_r1,rqRealDiff__k6_xcmplx_0__rm2_rm4_r2,rqRealDiff__k6_xcmplx_0__rm2_rnm1d2_rnm3d2,rqRealDiff__k6_xcmplx_0__rm2_rnm2d3_rnm4d3,rqRealDiff__k6_xcmplx_0__rm2_rnm3d2_rnm1d2,rqRealDiff__k6_xcmplx_0__rm2_rnm4d3_rnm2d3,rqRealDiff__k6_xcmplx_0__rm3_r0_rm3,rqRealDiff__k6_xcmplx_0__rm3_r1_rm4,rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2,rqRealDiff__k6_xcmplx_0__rm3_rm3_r0,rqRealDiff__k6_xcmplx_0__rm3_rm4_r1,rqRealDiff__k6_xcmplx_0__rm3_rnm3d2_rnm3d2,rqRealDiff__k6_xcmplx_0__rm4_r0_rm4,rqRealDiff__k6_xcmplx_0__rm4_rm1_rm3,rqRealDiff__k6_xcmplx_0__rm4_rm3_rm1,rqRealDiff__k6_xcmplx_0__rm4_rm4_r0,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_rn1d4_rn1d4,rqRealDiff__k6_xcmplx_0__rn1d2_rn3d2_rm1,rqRealDiff__k6_xcmplx_0__rn1d2_rn3d4_rnm1d4,rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1,rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d4_rn3d4,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_rm1_rn4d3,rqRealDiff__k6_xcmplx_0__rn1d3_rn1d3_r0,rqRealDiff__k6_xcmplx_0__rn1d3_rn2d3_rnm1d3,rqRealDiff__k6_xcmplx_0__rn1d3_rn4d3_rm1,rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d3_rn2d3,rqRealDiff__k6_xcmplx_0__rn1d3_rnm2d3_r1,rqRealDiff__k6_xcmplx_0__rn1d4_r0_rn1d4,rqRealDiff__k6_xcmplx_0__rn1d4_r1_rnm3d4,rqRealDiff__k6_xcmplx_0__rn1d4_rn1d2_rnm1d4,rqRealDiff__k6_xcmplx_0__rn1d4_rn1d4_r0,rqRealDiff__k6_xcmplx_0__rn1d4_rn3d4_rnm1d2,rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d2_rn3d4,rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d4_rn1d2,rqRealDiff__k6_xcmplx_0__rn1d4_rnm3d4_r1,rqRealDiff__k6_xcmplx_0__rn2d3_r0_rn2d3,rqRealDiff__k6_xcmplx_0__rn2d3_r1_rnm1d3,rqRealDiff__k6_xcmplx_0__rn2d3_r2_rnm4d3,rqRealDiff__k6_xcmplx_0__rn2d3_rn1d3_rn1d3,rqRealDiff__k6_xcmplx_0__rn2d3_rn2d3_r0,rqRealDiff__k6_xcmplx_0__rn2d3_rn4d3_rnm2d3,rqRealDiff__k6_xcmplx_0__rn2d3_rnm1d3_r1,rqRealDiff__k6_xcmplx_0__rn2d3_rnm2d3_rn4d3,rqRealDiff__k6_xcmplx_0__rn2d3_rnm4d3_r2,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_rn3d4_rn3d4,rqRealDiff__k6_xcmplx_0__rn3d2_rnm1d2_r2,rqRealDiff__k6_xcmplx_0__rn3d2_rnm3d2_r3,rqRealDiff__k6_xcmplx_0__rn3d4_r0_rn3d4,rqRealDiff__k6_xcmplx_0__rn3d4_r1_rnm1d4,rqRealDiff__k6_xcmplx_0__rn3d4_rn1d2_rn1d4,rqRealDiff__k6_xcmplx_0__rn3d4_rn1d4_rn1d2,rqRealDiff__k6_xcmplx_0__rn3d4_rn3d4_r0,rqRealDiff__k6_xcmplx_0__rn3d4_rnm1d4_r1,rqRealDiff__k6_xcmplx_0__rn4d3_r0_rn4d3,rqRealDiff__k6_xcmplx_0__rn4d3_r1_rn1d3,rqRealDiff__k6_xcmplx_0__rn4d3_r2_rnm2d3,rqRealDiff__k6_xcmplx_0__rn4d3_rn1d3_r1,rqRealDiff__k6_xcmplx_0__rn4d3_rn4d3_r0,rqRealDiff__k6_xcmplx_0__rn4d3_rnm2d3_r2,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_rn1d4_rnm3d4,rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d2_rm2,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d4_rnm1d4,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d2_r1,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d4_rn1d4,rqRealDiff__k6_xcmplx_0__rnm1d3_r0_rnm1d3,rqRealDiff__k6_xcmplx_0__rnm1d3_r1_rnm4d3,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__rnm1d4_r0_rnm1d4,rqRealDiff__k6_xcmplx_0__rnm1d4_rm1_rn3d4,rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d2_rnm3d4,rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d4_rnm1d2,rqRealDiff__k6_xcmplx_0__rnm1d4_rn3d4_rm1,rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d2_rn1d4,rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d4_r0,rqRealDiff__k6_xcmplx_0__rnm1d4_rnm3d4_rn1d2,rqRealDiff__k6_xcmplx_0__rnm2d3_rm1_rn1d3,rqRealDiff__k6_xcmplx_0__rnm2d3_rm2_rn4d3,rqRealDiff__k6_xcmplx_0__rnm2d3_rn1d3_rm1,rqRealDiff__k6_xcmplx_0__rnm2d3_rn2d3_rnm4d3,rqRealDiff__k6_xcmplx_0__rnm2d3_rn4d3_rm2,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,rqRealDiff__k6_xcmplx_0__rnm3d4_rm1_rn1d4,rqRealDiff__k6_xcmplx_0__rnm3d4_rn1d4_rm1,rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d2_rnm1d4,rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d4_rnm1d2,rqRealDiff__k6_xcmplx_0__rnm3d4_rnm3d4_r0,rqRealDiff__k6_xcmplx_0__rnm4d3_rm2_rn2d3,rqRealDiff__k6_xcmplx_0__rnm4d3_rn2d3_rm2,rqRealDiff__k6_xcmplx_0__rnm4d3_rnm1d3_rm1,rqRealDiff__k6_xcmplx_0__rnm4d3_rnm2d3_rnm2d3,rqRealDiff__k6_xcmplx_0__rnm4d3_rnm4d3_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__r0_r4_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_r4_rn1d4,rqRealDiv__k7_xcmplx_0__r1_rm1_rm1,rqRealDiv__k7_xcmplx_0__r1_rm3_rnm1d3,rqRealDiv__k7_xcmplx_0__r1_rm4_rnm1d4,rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2,rqRealDiv__k7_xcmplx_0__r1_rn1d3_r3,rqRealDiv__k7_xcmplx_0__r1_rn1d4_r4,rqRealDiv__k7_xcmplx_0__r1_rn3d2_rn2d3,rqRealDiv__k7_xcmplx_0__r1_rn3d4_rn4d3,rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2,rqRealDiv__k7_xcmplx_0__r1_rnm1d3_rm3,rqRealDiv__k7_xcmplx_0__r1_rnm1d4_rm4,rqRealDiv__k7_xcmplx_0__r1_rnm2d3_rnm3d2,rqRealDiv__k7_xcmplx_0__r1_rnm3d2_rnm2d3,rqRealDiv__k7_xcmplx_0__r1_rnm3d4_rnm4d3,rqRealDiv__k7_xcmplx_0__r1_rnm4d3_rnm3d4,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__r2_rn1d2_r4,rqRealDiv__k7_xcmplx_0__r3_r2_rn3d2,rqRealDiv__k7_xcmplx_0__r3_r3_r1,rqRealDiv__k7_xcmplx_0__r3_r4_rn3d4,rqRealDiv__k7_xcmplx_0__r4_r2_r2,rqRealDiv__k7_xcmplx_0__r4_r3_rn4d3,rqRealDiv__k7_xcmplx_0__r4_r4_r1,rqRealDiv__k7_xcmplx_0__rm1_r1_rm1,rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2,rqRealMult__k3_xcmplx_0__r0_r0_r0,rqRealMult__k3_xcmplx_0__r0_r1_r0,rqRealMult__k3_xcmplx_0__r0_r2_r0,rqRealMult__k3_xcmplx_0__r0_r3_r0,rqRealMult__k3_xcmplx_0__r0_r4_r0,rqRealMult__k3_xcmplx_0__r0_rm2_r0,rqRealMult__k3_xcmplx_0__r0_rm3_r0,rqRealMult__k3_xcmplx_0__r0_rn1d2_r0,rqRealMult__k3_xcmplx_0__r0_rn1d3_r0,rqRealMult__k3_xcmplx_0__r0_rn1d4_r0,rqRealMult__k3_xcmplx_0__r0_rn3d2_r0,rqRealMult__k3_xcmplx_0__r1_r0_r0,rqRealMult__k3_xcmplx_0__r1_r3_r3,rqRealMult__k3_xcmplx_0__r1_r4_r4,rqRealMult__k3_xcmplx_0__r1_rm2_rm2,rqRealMult__k3_xcmplx_0__r1_rm3_rm3,rqRealMult__k3_xcmplx_0__r1_rm4_rm4,rqRealMult__k3_xcmplx_0__r1_rn1d2_rn1d2,rqRealMult__k3_xcmplx_0__r1_rn1d3_rn1d3,rqRealMult__k3_xcmplx_0__r1_rn1d4_rn1d4,rqRealMult__k3_xcmplx_0__r1_rn2d3_rn2d3,rqRealMult__k3_xcmplx_0__r1_rn3d2_rn3d2,rqRealMult__k3_xcmplx_0__r1_rn3d4_rn3d4,rqRealMult__k3_xcmplx_0__r1_rnm1d2_rnm1d2,rqRealMult__k3_xcmplx_0__r1_rnm1d3_rnm1d3,rqRealMult__k3_xcmplx_0__r1_rnm1d4_rnm1d4,rqRealMult__k3_xcmplx_0__r1_rnm2d3_rnm2d3,rqRealMult__k3_xcmplx_0__r2_r0_r0,rqRealMult__k3_xcmplx_0__r2_r2_r4,rqRealMult__k3_xcmplx_0__r2_rm2_rm4,rqRealMult__k3_xcmplx_0__r2_rn1d2_r1,rqRealMult__k3_xcmplx_0__r2_rn1d3_rn2d3,rqRealMult__k3_xcmplx_0__r2_rn1d4_rn1d2,rqRealMult__k3_xcmplx_0__r2_rn2d3_rn4d3,rqRealMult__k3_xcmplx_0__r2_rn3d2_r3,rqRealMult__k3_xcmplx_0__r2_rn3d4_rn3d2,rqRealMult__k3_xcmplx_0__r2_rnm1d3_rnm2d3,rqRealMult__k3_xcmplx_0__r2_rnm1d4_rnm1d2,rqRealMult__k3_xcmplx_0__r2_rnm2d3_rnm4d3,rqRealMult__k3_xcmplx_0__r2_rnm3d2_rm3,rqRealMult__k3_xcmplx_0__r2_rnm3d4_rnm3d2,rqRealMult__k3_xcmplx_0__r3_r0_r0,rqRealMult__k3_xcmplx_0__r3_r1_r3,rqRealMult__k3_xcmplx_0__r3_rn1d2_rn3d2,rqRealMult__k3_xcmplx_0__r3_rn1d3_r1,rqRealMult__k3_xcmplx_0__r3_rn1d4_rn3d4,rqRealMult__k3_xcmplx_0__r3_rn2d3_r2,rqRealMult__k3_xcmplx_0__r3_rnm1d2_rnm3d2,rqRealMult__k3_xcmplx_0__r3_rnm1d3_rm1,rqRealMult__k3_xcmplx_0__r3_rnm1d4_rnm3d4,rqRealMult__k3_xcmplx_0__r3_rnm2d3_rm2,rqRealMult__k3_xcmplx_0__r4_r0_r0,rqRealMult__k3_xcmplx_0__r4_r1_r4,rqRealMult__k3_xcmplx_0__r4_rn1d2_r2,rqRealMult__k3_xcmplx_0__r4_rn1d3_rn4d3,rqRealMult__k3_xcmplx_0__r4_rn1d4_r1,rqRealMult__k3_xcmplx_0__r4_rn3d4_r3,rqRealMult__k3_xcmplx_0__r4_rnm1d2_rm2,rqRealMult__k3_xcmplx_0__r4_rnm1d3_rnm4d3,rqRealMult__k3_xcmplx_0__r4_rnm1d4_rm1,rqRealMult__k3_xcmplx_0__r4_rnm3d4_rm3,rqRealMult__k3_xcmplx_0__rm2_r0_r0,rqRealMult__k3_xcmplx_0__rm2_r2_rm4,rqRealMult__k3_xcmplx_0__rm2_rm2_r4,rqRealMult__k3_xcmplx_0__rm2_rn1d2_rm1,rqRealMult__k3_xcmplx_0__rm2_rn1d3_rnm2d3,rqRealMult__k3_xcmplx_0__rm2_rn1d4_rnm1d2,rqRealMult__k3_xcmplx_0__rm2_rn2d3_rnm4d3,rqRealMult__k3_xcmplx_0__rm2_rn3d2_rm3,rqRealMult__k3_xcmplx_0__rm2_rnm1d3_rn2d3,rqRealMult__k3_xcmplx_0__rm2_rnm1d4_rn1d2,rqRealMult__k3_xcmplx_0__rm2_rnm2d3_rn4d3,rqRealMult__k3_xcmplx_0__rm2_rnm3d2_r3,rqRealMult__k3_xcmplx_0__rm3_r0_r0,rqRealMult__k3_xcmplx_0__rm3_r1_rm3,rqRealMult__k3_xcmplx_0__rm3_rn1d2_rnm3d2,rqRealMult__k3_xcmplx_0__rm3_rn1d3_rm1,rqRealMult__k3_xcmplx_0__rm3_rn1d4_rnm3d4,rqRealMult__k3_xcmplx_0__rm3_rn2d3_rm2,rqRealMult__k3_xcmplx_0__rm3_rnm1d2_rn3d2,rqRealMult__k3_xcmplx_0__rm3_rnm1d3_r1,rqRealMult__k3_xcmplx_0__rm3_rnm1d4_rn3d4,rqRealMult__k3_xcmplx_0__rm3_rnm2d3_r2,rqRealMult__k3_xcmplx_0__rm4_r1_rm4,rqRealMult__k3_xcmplx_0__rm4_rn1d2_rm2,rqRealMult__k3_xcmplx_0__rm4_rn1d3_rnm4d3,rqRealMult__k3_xcmplx_0__rm4_rn1d4_rm1,rqRealMult__k3_xcmplx_0__rm4_rn3d4_rm3,rqRealMult__k3_xcmplx_0__rm4_rnm1d2_r2,rqRealMult__k3_xcmplx_0__rm4_rnm1d3_rn4d3,rqRealMult__k3_xcmplx_0__rm4_rnm1d4_r1,rqRealMult__k3_xcmplx_0__rm4_rnm3d4_r3,rqRealMult__k3_xcmplx_0__rn1d2_r0_r0,rqRealMult__k3_xcmplx_0__rn1d2_r1_rn1d2,rqRealMult__k3_xcmplx_0__rn1d2_r2_r1,rqRealMult__k3_xcmplx_0__rn1d2_r3_rn3d2,rqRealMult__k3_xcmplx_0__rn1d2_r4_r2,rqRealMult__k3_xcmplx_0__rn1d2_rm2_rm1,rqRealMult__k3_xcmplx_0__rn1d2_rm3_rnm3d2,rqRealMult__k3_xcmplx_0__rn1d2_rm4_rm2,rqRealMult__k3_xcmplx_0__rn1d2_rn1d2_rn1d4,rqRealMult__k3_xcmplx_0__rn1d2_rn3d2_rn3d4,rqRealMult__k3_xcmplx_0__rn1d2_rnm1d2_rnm1d4,rqRealMult__k3_xcmplx_0__rn1d3_r1_rn1d3,rqRealMult__k3_xcmplx_0__rn1d3_r2_rn2d3,rqRealMult__k3_xcmplx_0__rn1d3_r3_r1,rqRealMult__k3_xcmplx_0__rn1d3_r4_rn4d3,rqRealMult__k3_xcmplx_0__rn1d3_rm2_rnm2d3,rqRealMult__k3_xcmplx_0__rn1d3_rm3_rm1,rqRealMult__k3_xcmplx_0__rn1d4_r0_r0,rqRealMult__k3_xcmplx_0__rn1d4_r1_rn1d4,rqRealMult__k3_xcmplx_0__rn1d4_r2_rn1d2,rqRealMult__k3_xcmplx_0__rn1d4_r3_rn3d4,rqRealMult__k3_xcmplx_0__rn1d4_r4_r1,rqRealMult__k3_xcmplx_0__rn1d4_rm2_rnm1d2,rqRealMult__k3_xcmplx_0__rn1d4_rm3_rnm3d4,rqRealMult__k3_xcmplx_0__rn1d4_rm4_rm1,rqRealMult__k3_xcmplx_0__rn2d3_r1_rn2d3,rqRealMult__k3_xcmplx_0__rn2d3_r2_rn4d3,rqRealMult__k3_xcmplx_0__rn2d3_r3_r2,rqRealMult__k3_xcmplx_0__rn2d3_rm3_rm2,rqRealMult__k3_xcmplx_0__rn2d3_rn1d2_rn1d3,rqRealMult__k3_xcmplx_0__rn2d3_rn3d2_r1,rqRealMult__k3_xcmplx_0__rn2d3_rnm1d2_rnm1d3,rqRealMult__k3_xcmplx_0__rn2d3_rnm3d2_rm1,rqRealMult__k3_xcmplx_0__rn3d2_r0_r0,rqRealMult__k3_xcmplx_0__rn3d2_r1_rn3d2,rqRealMult__k3_xcmplx_0__rn3d2_r2_r3,rqRealMult__k3_xcmplx_0__rn3d2_rm2_rm3,rqRealMult__k3_xcmplx_0__rn3d2_rn1d3_rn1d2,rqRealMult__k3_xcmplx_0__rn3d2_rn2d3_r1,rqRealMult__k3_xcmplx_0__rn3d2_rn4d3_r2,rqRealMult__k3_xcmplx_0__rn3d2_rnm1d3_rnm1d2,rqRealMult__k3_xcmplx_0__rn3d2_rnm2d3_rm1,rqRealMult__k3_xcmplx_0__rn3d2_rnm4d3_rm2,rqRealMult__k3_xcmplx_0__rn3d4_r1_rn3d4,rqRealMult__k3_xcmplx_0__rn3d4_r2_rn3d2,rqRealMult__k3_xcmplx_0__rn3d4_r4_r3,rqRealMult__k3_xcmplx_0__rn3d4_rm2_rnm3d2,rqRealMult__k3_xcmplx_0__rn3d4_rm4_rm3,rqRealMult__k3_xcmplx_0__rn3d4_rn4d3_r1,rqRealMult__k3_xcmplx_0__rn3d4_rnm4d3_rm1,rqRealMult__k3_xcmplx_0__rn4d3_r1_rn4d3,rqRealMult__k3_xcmplx_0__rn4d3_r3_r4,rqRealMult__k3_xcmplx_0__rn4d3_rn1d4_rn1d3,rqRealMult__k3_xcmplx_0__rn4d3_rn3d4_r1,rqRealMult__k3_xcmplx_0__rn4d3_rnm1d4_rnm1d3,rqRealMult__k3_xcmplx_0__rn4d3_rnm3d4_rm1,rqRealMult__k3_xcmplx_0__rnm1d2_r3_rnm3d2,rqRealMult__k3_xcmplx_0__rnm1d2_r4_rm2,rqRealMult__k3_xcmplx_0__rnm1d2_rm3_rn3d2,rqRealMult__k3_xcmplx_0__rnm1d2_rm4_r2,rqRealMult__k3_xcmplx_0__rnm1d2_rn1d2_rnm1d4,rqRealMult__k3_xcmplx_0__rnm1d2_rn2d3_rnm1d3,rqRealMult__k3_xcmplx_0__rnm1d2_rnm1d2_rn1d4,rqRealMult__k3_xcmplx_0__rnm1d3_r1_rnm1d3,rqRealMult__k3_xcmplx_0__rnm1d3_r2_rnm2d3,rqRealMult__k3_xcmplx_0__rnm1d3_r3_rm1,rqRealMult__k3_xcmplx_0__rnm1d3_rm2_rn2d3,rqRealMult__k3_xcmplx_0__rnm1d3_rm3_r1,rqRealMult__k3_xcmplx_0__rnm1d3_rnm3d2_rn1d2,rqRealMult__k3_xcmplx_0__rnm1d4_r1_rnm1d4,rqRealMult__k3_xcmplx_0__rnm1d4_r2_rnm1d2,rqRealMult__k3_xcmplx_0__rnm1d4_r3_rnm3d4,rqRealMult__k3_xcmplx_0__rnm1d4_r4_rm1,rqRealMult__k3_xcmplx_0__rnm1d4_rm2_rn1d2,rqRealMult__k3_xcmplx_0__rnm1d4_rm3_rn3d4,rqRealMult__k3_xcmplx_0__rnm1d4_rm4_r1,rqRealMult__k3_xcmplx_0__rnm2d3_r1_rnm2d3,rqRealMult__k3_xcmplx_0__rnm2d3_r2_rnm4d3,rqRealMult__k3_xcmplx_0__rnm2d3_r3_rm2,rqRealMult__k3_xcmplx_0__rnm2d3_rm2_rn4d3,rqRealMult__k3_xcmplx_0__rnm2d3_rm3_r2,rqRealMult__k3_xcmplx_0__rnm2d3_rn1d2_rnm1d3,rqRealMult__k3_xcmplx_0__rnm2d3_rnm1d2_rn1d3,rqRealMult__k3_xcmplx_0__rnm2d3_rnm3d2_r1,rqRealMult__k3_xcmplx_0__rnm3d2_r1_rnm3d2,rqRealMult__k3_xcmplx_0__rnm3d2_r2_rm3,rqRealMult__k3_xcmplx_0__rnm3d2_rm2_r3,rqRealMult__k3_xcmplx_0__rnm3d2_rn1d2_rnm3d4,rqRealMult__k3_xcmplx_0__rnm3d2_rn2d3_rm1,rqRealMult__k3_xcmplx_0__rnm3d2_rn4d3_rm2,rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d2_rn3d4,rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d3_rn1d2,rqRealMult__k3_xcmplx_0__rnm3d2_rnm2d3_r1,rqRealMult__k3_xcmplx_0__rnm3d2_rnm4d3_r2,rqRealMult__k3_xcmplx_0__rnm3d4_r1_rnm3d4,rqRealMult__k3_xcmplx_0__rnm3d4_r2_rnm3d2,rqRealMult__k3_xcmplx_0__rnm3d4_r4_rm3,rqRealMult__k3_xcmplx_0__rnm3d4_rm2_rn3d2,rqRealMult__k3_xcmplx_0__rnm3d4_rm4_r3,rqRealMult__k3_xcmplx_0__rnm3d4_rn1d3_rnm1d4,rqRealMult__k3_xcmplx_0__rnm3d4_rn4d3_rm1,rqRealMult__k3_xcmplx_0__rnm3d4_rnm4d3_r1,rqRealMult__k3_xcmplx_0__rnm4d3_r1_rnm4d3,rqRealMult__k3_xcmplx_0__rnm4d3_r3_rm4,rqRealMult__k3_xcmplx_0__rnm4d3_rn1d2_rnm2d3,rqRealMult__k3_xcmplx_0__rnm4d3_rn1d4_rnm1d3,rqRealMult__k3_xcmplx_0__rnm4d3_rn3d4_rm1,rqRealMult__k3_xcmplx_0__rnm4d3_rnm1d2_rn2d3,rqRealMult__k3_xcmplx_0__rnm4d3_rnm1d4_rn1d3,rqRealMult__k3_xcmplx_0__rnm4d3_rnm3d2_r2,rqRealMult__k3_xcmplx_0__rnm4d3_rnm3d4_r1,rqRealNeg__k4_xcmplx_0__r0_r0,rqRealNeg__k4_xcmplx_0__r3_rm3,rqRealNeg__k4_xcmplx_0__r4_rm4,rqRealNeg__k4_xcmplx_0__rm3_r3,rqRealNeg__k4_xcmplx_0__rm4_r4,rqRealNeg__k4_xcmplx_0__rn1d3_rnm1d3,rqRealNeg__k4_xcmplx_0__rn1d4_rnm1d4,rqRealNeg__k4_xcmplx_0__rn2d3_rnm2d3,rqRealNeg__k4_xcmplx_0__rn3d2_rnm3d2,rqRealNeg__k4_xcmplx_0__rn3d4_rnm3d4,rqRealNeg__k4_xcmplx_0__rn4d3_rnm4d3,rqRealNeg__k4_xcmplx_0__rnm1d3_rn1d3,rqRealNeg__k4_xcmplx_0__rnm1d4_rn1d4,rqRealNeg__k4_xcmplx_0__rnm2d3_rn2d3,rqRealNeg__k4_xcmplx_0__rnm3d2_rn3d2,rqRealNeg__k4_xcmplx_0__rnm3d4_rn3d4,rqRealNeg__k4_xcmplx_0__rnm4d3_rn4d3,spc0_numerals,spc1_numerals,spc2_numerals,spc3_numerals,spc4_numerals,spc0_boole,spc1_boole,spc2_boole,spc3_boole,spc4_boole,e3_6__abian,e5_6__abian,rqRealMult__k3_xcmplx_0__r1_r1_r1,rqRealNeg__k4_xcmplx_0__r1_rm1,rqRealMult__k3_xcmplx_0__r1_r2_r2,rqRealNeg__k4_xcmplx_0__r2_rm2,rqRealDiff__k6_xcmplx_0__r1_r1_r0,rqRealNeg__k4_xcmplx_0__rm2_r2,rqRealNeg__k4_xcmplx_0__rm1_r1,rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2,rqRealMult__k3_xcmplx_0__rnm1d2_rm2_r1,rqRealMult__k3_xcmplx_0__rnm1d2_r2_rm1,rqRealMult__k3_xcmplx_0__rnm1d2_r1_rnm1d2,rqRealMult__k3_xcmplx_0__rm2_r1_rm2,rqRealMult__k3_xcmplx_0__rm2_rnm1d2_r1,rqRealDiff__k6_xcmplx_0__rm2_rm2_r0,rqRealDiff__k6_xcmplx_0__rm1_rm1_r0,rqRealDiff__k6_xcmplx_0__r2_rm2_r4,rqRealDiff__k6_xcmplx_0__r4_r2_r2,rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1,rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2,rqRealDiff__k6_xcmplx_0__r2_r1_r1,rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2,rqRealDiff__k6_xcmplx_0__rm1_rm2_r1,rqRealDiff__k6_xcmplx_0__r2_r2_r0,rqRealDiff__k6_xcmplx_0__r1_r2_rm1,rqRealMult__k3_xcmplx_0__r2_r1_r2,rqRealMult__k3_xcmplx_0__r2_rnm1d2_rm1,rqRealDiff__k6_xcmplx_0__rm2_r2_rm4,rqRealDiff__k6_xcmplx_0__rm4_rm2_rm2,rqRealDiff__k6_xcmplx_0__rm2_r1_rm3,rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1,rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2,rqRealDiff__k6_xcmplx_0__r2_rn1d2_rn3d2]),
    [interesting(0.8),file(abian,e6_6__abian),[file(abian,e6_6__abian)]]).

fof(e7_6__abian,plain,(
    1 = k3_xcmplx_0(2,k6_xcmplx_0(c3_6__abian,c2_6__abian)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__abian,e2_6__abian,e4_6__abian])],[reflexivity_r1_tarski,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,cc20_membered,cc2_finset_1,cc2_membered,cc3_int_1,cc3_membered,cc4_membered,cc6_membered,cc9_membered,fc1_ordinal2,fc1_subset_1,fc5_membered,fc6_membered,rc1_finset_1,rc1_int_1,rc1_membered,rc1_subset_1,rc2_subset_1,rc3_finset_1,rc4_finset_1,t1_subset,t3_subset,t4_subset,t5_subset,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_numbers,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,cc15_membered,cc1_finset_1,cc1_funct_1,cc2_int_1,cc4_int_1,fc2_int_1,fc2_membered,fc3_int_1,fc4_int_1,fc5_int_1,fc7_int_1,fc8_int_1,fc9_int_1,rc2_int_1,spc2_arithm,spc4_arithm,spc7_arithm,spc9_arithm,t1_numerals,t2_arithm,t2_subset,t3_arithm,t4_arithm,t5_arithm,t6_arithm,t6_boole,t7_boole,t8_boole,commutativity_k3_xcmplx_0,involutiveness_k4_xcmplx_0,dt_k3_xcmplx_0,dt_k4_xcmplx_0,dt_k6_xcmplx_0,dt_k7_xcmplx_0,dt_c2_6__abian,dt_c3_6__abian,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_r4_rm4,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_rm4_r4,rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2,rqRealDiff__k6_xcmplx_0__r0_rn1d3_rnm1d3,rqRealDiff__k6_xcmplx_0__r0_rn1d4_rnm1d4,rqRealDiff__k6_xcmplx_0__r0_rn2d3_rnm2d3,rqRealDiff__k6_xcmplx_0__r0_rn3d2_rnm3d2,rqRealDiff__k6_xcmplx_0__r0_rn3d4_rnm3d4,rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2,rqRealDiff__k6_xcmplx_0__r0_rnm1d4_rn1d4,rqRealDiff__k6_xcmplx_0__r0_rnm2d3_rn2d3,rqRealDiff__k6_xcmplx_0__r1_r0_r1,rqRealDiff__k6_xcmplx_0__r1_r3_rm2,rqRealDiff__k6_xcmplx_0__r1_r4_rm3,rqRealDiff__k6_xcmplx_0__r1_rm2_r3,rqRealDiff__k6_xcmplx_0__r1_rm3_r4,rqRealDiff__k6_xcmplx_0__r1_rn1d3_rn2d3,rqRealDiff__k6_xcmplx_0__r1_rn1d4_rn3d4,rqRealDiff__k6_xcmplx_0__r1_rn2d3_rn1d3,rqRealDiff__k6_xcmplx_0__r1_rn3d2_rnm1d2,rqRealDiff__k6_xcmplx_0__r1_rn3d4_rn1d4,rqRealDiff__k6_xcmplx_0__r1_rn4d3_rnm1d3,rqRealDiff__k6_xcmplx_0__r1_rnm1d2_rn3d2,rqRealDiff__k6_xcmplx_0__r1_rnm1d3_rn4d3,rqRealDiff__k6_xcmplx_0__r2_r0_r2,rqRealDiff__k6_xcmplx_0__r2_r3_rm1,rqRealDiff__k6_xcmplx_0__r2_r4_rm2,rqRealDiff__k6_xcmplx_0__r2_rm2_r4,rqRealDiff__k6_xcmplx_0__r2_rn2d3_rn4d3,rqRealDiff__k6_xcmplx_0__r2_rn3d2_rn1d2,rqRealDiff__k6_xcmplx_0__r2_rn4d3_rn2d3,rqRealDiff__k6_xcmplx_0__r3_r0_r3,rqRealDiff__k6_xcmplx_0__r3_r2_r1,rqRealDiff__k6_xcmplx_0__r3_r3_r0,rqRealDiff__k6_xcmplx_0__r3_r4_rm1,rqRealDiff__k6_xcmplx_0__r3_rm1_r4,rqRealDiff__k6_xcmplx_0__r3_rn3d2_rn3d2,rqRealDiff__k6_xcmplx_0__r4_r0_r4,rqRealDiff__k6_xcmplx_0__r4_r1_r3,rqRealDiff__k6_xcmplx_0__r4_r2_r2,rqRealDiff__k6_xcmplx_0__r4_r3_r1,rqRealDiff__k6_xcmplx_0__r4_r4_r0,rqRealDiff__k6_xcmplx_0__rm1_r0_rm1,rqRealDiff__k6_xcmplx_0__rm1_r2_rm3,rqRealDiff__k6_xcmplx_0__rm1_r3_rm4,rqRealDiff__k6_xcmplx_0__rm1_rm3_r2,rqRealDiff__k6_xcmplx_0__rm1_rm4_r3,rqRealDiff__k6_xcmplx_0__rm1_rn1d2_rnm3d2,rqRealDiff__k6_xcmplx_0__rm1_rn1d3_rnm4d3,rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2,rqRealDiff__k6_xcmplx_0__rm1_rnm1d3_rnm2d3,rqRealDiff__k6_xcmplx_0__rm1_rnm1d4_rnm3d4,rqRealDiff__k6_xcmplx_0__rm1_rnm2d3_rnm1d3,rqRealDiff__k6_xcmplx_0__rm1_rnm3d2_rn1d2,rqRealDiff__k6_xcmplx_0__rm1_rnm3d4_rnm1d4,rqRealDiff__k6_xcmplx_0__rm1_rnm4d3_rn1d3,rqRealDiff__k6_xcmplx_0__rm2_r0_rm2,rqRealDiff__k6_xcmplx_0__rm2_rm3_r1,rqRealDiff__k6_xcmplx_0__rm2_rm4_r2,rqRealDiff__k6_xcmplx_0__rm2_rnm1d2_rnm3d2,rqRealDiff__k6_xcmplx_0__rm2_rnm2d3_rnm4d3,rqRealDiff__k6_xcmplx_0__rm2_rnm3d2_rnm1d2,rqRealDiff__k6_xcmplx_0__rm2_rnm4d3_rnm2d3,rqRealDiff__k6_xcmplx_0__rm3_r0_rm3,rqRealDiff__k6_xcmplx_0__rm3_r1_rm4,rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2,rqRealDiff__k6_xcmplx_0__rm3_rm3_r0,rqRealDiff__k6_xcmplx_0__rm3_rm4_r1,rqRealDiff__k6_xcmplx_0__rm3_rnm3d2_rnm3d2,rqRealDiff__k6_xcmplx_0__rm4_r0_rm4,rqRealDiff__k6_xcmplx_0__rm4_rm1_rm3,rqRealDiff__k6_xcmplx_0__rm4_rm3_rm1,rqRealDiff__k6_xcmplx_0__rm4_rm4_r0,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_rn1d4_rn1d4,rqRealDiff__k6_xcmplx_0__rn1d2_rn3d2_rm1,rqRealDiff__k6_xcmplx_0__rn1d2_rn3d4_rnm1d4,rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1,rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d4_rn3d4,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_rm1_rn4d3,rqRealDiff__k6_xcmplx_0__rn1d3_rn1d3_r0,rqRealDiff__k6_xcmplx_0__rn1d3_rn2d3_rnm1d3,rqRealDiff__k6_xcmplx_0__rn1d3_rn4d3_rm1,rqRealDiff__k6_xcmplx_0__rn1d3_rnm1d3_rn2d3,rqRealDiff__k6_xcmplx_0__rn1d3_rnm2d3_r1,rqRealDiff__k6_xcmplx_0__rn1d4_r0_rn1d4,rqRealDiff__k6_xcmplx_0__rn1d4_r1_rnm3d4,rqRealDiff__k6_xcmplx_0__rn1d4_rn1d2_rnm1d4,rqRealDiff__k6_xcmplx_0__rn1d4_rn1d4_r0,rqRealDiff__k6_xcmplx_0__rn1d4_rn3d4_rnm1d2,rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d2_rn3d4,rqRealDiff__k6_xcmplx_0__rn1d4_rnm1d4_rn1d2,rqRealDiff__k6_xcmplx_0__rn1d4_rnm3d4_r1,rqRealDiff__k6_xcmplx_0__rn2d3_r0_rn2d3,rqRealDiff__k6_xcmplx_0__rn2d3_r1_rnm1d3,rqRealDiff__k6_xcmplx_0__rn2d3_r2_rnm4d3,rqRealDiff__k6_xcmplx_0__rn2d3_rn1d3_rn1d3,rqRealDiff__k6_xcmplx_0__rn2d3_rn2d3_r0,rqRealDiff__k6_xcmplx_0__rn2d3_rn4d3_rnm2d3,rqRealDiff__k6_xcmplx_0__rn2d3_rnm1d3_r1,rqRealDiff__k6_xcmplx_0__rn2d3_rnm2d3_rn4d3,rqRealDiff__k6_xcmplx_0__rn2d3_rnm4d3_r2,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_rn3d4_rn3d4,rqRealDiff__k6_xcmplx_0__rn3d2_rnm1d2_r2,rqRealDiff__k6_xcmplx_0__rn3d2_rnm3d2_r3,rqRealDiff__k6_xcmplx_0__rn3d4_r0_rn3d4,rqRealDiff__k6_xcmplx_0__rn3d4_r1_rnm1d4,rqRealDiff__k6_xcmplx_0__rn3d4_rn1d2_rn1d4,rqRealDiff__k6_xcmplx_0__rn3d4_rn1d4_rn1d2,rqRealDiff__k6_xcmplx_0__rn3d4_rn3d4_r0,rqRealDiff__k6_xcmplx_0__rn3d4_rnm1d4_r1,rqRealDiff__k6_xcmplx_0__rn4d3_r0_rn4d3,rqRealDiff__k6_xcmplx_0__rn4d3_r1_rn1d3,rqRealDiff__k6_xcmplx_0__rn4d3_r2_rnm2d3,rqRealDiff__k6_xcmplx_0__rn4d3_rn1d3_r1,rqRealDiff__k6_xcmplx_0__rn4d3_rn4d3_r0,rqRealDiff__k6_xcmplx_0__rn4d3_rnm2d3_r2,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_rn1d4_rnm3d4,rqRealDiff__k6_xcmplx_0__rnm1d2_rn3d2_rm2,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d4_rnm1d4,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d2_r1,rqRealDiff__k6_xcmplx_0__rnm1d2_rnm3d4_rn1d4,rqRealDiff__k6_xcmplx_0__rnm1d3_r0_rnm1d3,rqRealDiff__k6_xcmplx_0__rnm1d3_r1_rnm4d3,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__rnm1d4_r0_rnm1d4,rqRealDiff__k6_xcmplx_0__rnm1d4_rm1_rn3d4,rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d2_rnm3d4,rqRealDiff__k6_xcmplx_0__rnm1d4_rn1d4_rnm1d2,rqRealDiff__k6_xcmplx_0__rnm1d4_rn3d4_rm1,rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d2_rn1d4,rqRealDiff__k6_xcmplx_0__rnm1d4_rnm1d4_r0,rqRealDiff__k6_xcmplx_0__rnm1d4_rnm3d4_rn1d2,rqRealDiff__k6_xcmplx_0__rnm2d3_rm1_rn1d3,rqRealDiff__k6_xcmplx_0__rnm2d3_rm2_rn4d3,rqRealDiff__k6_xcmplx_0__rnm2d3_rn1d3_rm1,rqRealDiff__k6_xcmplx_0__rnm2d3_rn2d3_rnm4d3,rqRealDiff__k6_xcmplx_0__rnm2d3_rn4d3_rm2,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,rqRealDiff__k6_xcmplx_0__rnm3d4_rm1_rn1d4,rqRealDiff__k6_xcmplx_0__rnm3d4_rn1d4_rm1,rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d2_rnm1d4,rqRealDiff__k6_xcmplx_0__rnm3d4_rnm1d4_rnm1d2,rqRealDiff__k6_xcmplx_0__rnm3d4_rnm3d4_r0,rqRealDiff__k6_xcmplx_0__rnm4d3_rm2_rn2d3,rqRealDiff__k6_xcmplx_0__rnm4d3_rn2d3_rm2,rqRealDiff__k6_xcmplx_0__rnm4d3_rnm1d3_rm1,rqRealDiff__k6_xcmplx_0__rnm4d3_rnm2d3_rnm2d3,rqRealDiff__k6_xcmplx_0__rnm4d3_rnm4d3_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__r0_r4_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_r4_rn1d4,rqRealDiv__k7_xcmplx_0__r1_rm1_rm1,rqRealDiv__k7_xcmplx_0__r1_rm3_rnm1d3,rqRealDiv__k7_xcmplx_0__r1_rm4_rnm1d4,rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2,rqRealDiv__k7_xcmplx_0__r1_rn1d3_r3,rqRealDiv__k7_xcmplx_0__r1_rn1d4_r4,rqRealDiv__k7_xcmplx_0__r1_rn3d2_rn2d3,rqRealDiv__k7_xcmplx_0__r1_rn3d4_rn4d3,rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2,rqRealDiv__k7_xcmplx_0__r1_rnm1d3_rm3,rqRealDiv__k7_xcmplx_0__r1_rnm1d4_rm4,rqRealDiv__k7_xcmplx_0__r1_rnm2d3_rnm3d2,rqRealDiv__k7_xcmplx_0__r1_rnm3d2_rnm2d3,rqRealDiv__k7_xcmplx_0__r1_rnm3d4_rnm4d3,rqRealDiv__k7_xcmplx_0__r1_rnm4d3_rnm3d4,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__r2_rn1d2_r4,rqRealDiv__k7_xcmplx_0__r3_r2_rn3d2,rqRealDiv__k7_xcmplx_0__r3_r3_r1,rqRealDiv__k7_xcmplx_0__r3_r4_rn3d4,rqRealDiv__k7_xcmplx_0__r4_r2_r2,rqRealDiv__k7_xcmplx_0__r4_r3_rn4d3,rqRealDiv__k7_xcmplx_0__r4_r4_r1,rqRealDiv__k7_xcmplx_0__rm1_r1_rm1,rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2,rqRealMult__k3_xcmplx_0__r0_r0_r0,rqRealMult__k3_xcmplx_0__r0_r1_r0,rqRealMult__k3_xcmplx_0__r0_r2_r0,rqRealMult__k3_xcmplx_0__r0_r3_r0,rqRealMult__k3_xcmplx_0__r0_r4_r0,rqRealMult__k3_xcmplx_0__r0_rm2_r0,rqRealMult__k3_xcmplx_0__r0_rm3_r0,rqRealMult__k3_xcmplx_0__r0_rn1d2_r0,rqRealMult__k3_xcmplx_0__r0_rn1d3_r0,rqRealMult__k3_xcmplx_0__r0_rn1d4_r0,rqRealMult__k3_xcmplx_0__r0_rn3d2_r0,rqRealMult__k3_xcmplx_0__r1_r0_r0,rqRealMult__k3_xcmplx_0__r1_r3_r3,rqRealMult__k3_xcmplx_0__r1_r4_r4,rqRealMult__k3_xcmplx_0__r1_rm2_rm2,rqRealMult__k3_xcmplx_0__r1_rm3_rm3,rqRealMult__k3_xcmplx_0__r1_rm4_rm4,rqRealMult__k3_xcmplx_0__r1_rn1d2_rn1d2,rqRealMult__k3_xcmplx_0__r1_rn1d3_rn1d3,rqRealMult__k3_xcmplx_0__r1_rn1d4_rn1d4,rqRealMult__k3_xcmplx_0__r1_rn2d3_rn2d3,rqRealMult__k3_xcmplx_0__r1_rn3d2_rn3d2,rqRealMult__k3_xcmplx_0__r1_rn3d4_rn3d4,rqRealMult__k3_xcmplx_0__r1_rnm1d2_rnm1d2,rqRealMult__k3_xcmplx_0__r1_rnm1d3_rnm1d3,rqRealMult__k3_xcmplx_0__r1_rnm1d4_rnm1d4,rqRealMult__k3_xcmplx_0__r1_rnm2d3_rnm2d3,rqRealMult__k3_xcmplx_0__r2_r0_r0,rqRealMult__k3_xcmplx_0__r2_r2_r4,rqRealMult__k3_xcmplx_0__r2_rm2_rm4,rqRealMult__k3_xcmplx_0__r2_rn1d2_r1,rqRealMult__k3_xcmplx_0__r2_rn1d3_rn2d3,rqRealMult__k3_xcmplx_0__r2_rn1d4_rn1d2,rqRealMult__k3_xcmplx_0__r2_rn2d3_rn4d3,rqRealMult__k3_xcmplx_0__r2_rn3d2_r3,rqRealMult__k3_xcmplx_0__r2_rn3d4_rn3d2,rqRealMult__k3_xcmplx_0__r2_rnm1d3_rnm2d3,rqRealMult__k3_xcmplx_0__r2_rnm1d4_rnm1d2,rqRealMult__k3_xcmplx_0__r2_rnm2d3_rnm4d3,rqRealMult__k3_xcmplx_0__r2_rnm3d2_rm3,rqRealMult__k3_xcmplx_0__r2_rnm3d4_rnm3d2,rqRealMult__k3_xcmplx_0__r3_r0_r0,rqRealMult__k3_xcmplx_0__r3_r1_r3,rqRealMult__k3_xcmplx_0__r3_rn1d2_rn3d2,rqRealMult__k3_xcmplx_0__r3_rn1d3_r1,rqRealMult__k3_xcmplx_0__r3_rn1d4_rn3d4,rqRealMult__k3_xcmplx_0__r3_rn2d3_r2,rqRealMult__k3_xcmplx_0__r3_rnm1d2_rnm3d2,rqRealMult__k3_xcmplx_0__r3_rnm1d3_rm1,rqRealMult__k3_xcmplx_0__r3_rnm1d4_rnm3d4,rqRealMult__k3_xcmplx_0__r3_rnm2d3_rm2,rqRealMult__k3_xcmplx_0__r4_r0_r0,rqRealMult__k3_xcmplx_0__r4_r1_r4,rqRealMult__k3_xcmplx_0__r4_rn1d2_r2,rqRealMult__k3_xcmplx_0__r4_rn1d3_rn4d3,rqRealMult__k3_xcmplx_0__r4_rn1d4_r1,rqRealMult__k3_xcmplx_0__r4_rn3d4_r3,rqRealMult__k3_xcmplx_0__r4_rnm1d2_rm2,rqRealMult__k3_xcmplx_0__r4_rnm1d3_rnm4d3,rqRealMult__k3_xcmplx_0__r4_rnm1d4_rm1,rqRealMult__k3_xcmplx_0__r4_rnm3d4_rm3,rqRealMult__k3_xcmplx_0__rm2_r0_r0,rqRealMult__k3_xcmplx_0__rm2_r2_rm4,rqRealMult__k3_xcmplx_0__rm2_rm2_r4,rqRealMult__k3_xcmplx_0__rm2_rn1d2_rm1,rqRealMult__k3_xcmplx_0__rm2_rn1d3_rnm2d3,rqRealMult__k3_xcmplx_0__rm2_rn1d4_rnm1d2,rqRealMult__k3_xcmplx_0__rm2_rn2d3_rnm4d3,rqRealMult__k3_xcmplx_0__rm2_rn3d2_rm3,rqRealMult__k3_xcmplx_0__rm2_rnm1d3_rn2d3,rqRealMult__k3_xcmplx_0__rm2_rnm1d4_rn1d2,rqRealMult__k3_xcmplx_0__rm2_rnm2d3_rn4d3,rqRealMult__k3_xcmplx_0__rm2_rnm3d2_r3,rqRealMult__k3_xcmplx_0__rm3_r0_r0,rqRealMult__k3_xcmplx_0__rm3_r1_rm3,rqRealMult__k3_xcmplx_0__rm3_rn1d2_rnm3d2,rqRealMult__k3_xcmplx_0__rm3_rn1d3_rm1,rqRealMult__k3_xcmplx_0__rm3_rn1d4_rnm3d4,rqRealMult__k3_xcmplx_0__rm3_rn2d3_rm2,rqRealMult__k3_xcmplx_0__rm3_rnm1d2_rn3d2,rqRealMult__k3_xcmplx_0__rm3_rnm1d3_r1,rqRealMult__k3_xcmplx_0__rm3_rnm1d4_rn3d4,rqRealMult__k3_xcmplx_0__rm3_rnm2d3_r2,rqRealMult__k3_xcmplx_0__rm4_r1_rm4,rqRealMult__k3_xcmplx_0__rm4_rn1d2_rm2,rqRealMult__k3_xcmplx_0__rm4_rn1d3_rnm4d3,rqRealMult__k3_xcmplx_0__rm4_rn1d4_rm1,rqRealMult__k3_xcmplx_0__rm4_rn3d4_rm3,rqRealMult__k3_xcmplx_0__rm4_rnm1d2_r2,rqRealMult__k3_xcmplx_0__rm4_rnm1d3_rn4d3,rqRealMult__k3_xcmplx_0__rm4_rnm1d4_r1,rqRealMult__k3_xcmplx_0__rm4_rnm3d4_r3,rqRealMult__k3_xcmplx_0__rn1d2_r0_r0,rqRealMult__k3_xcmplx_0__rn1d2_r1_rn1d2,rqRealMult__k3_xcmplx_0__rn1d2_r2_r1,rqRealMult__k3_xcmplx_0__rn1d2_r3_rn3d2,rqRealMult__k3_xcmplx_0__rn1d2_r4_r2,rqRealMult__k3_xcmplx_0__rn1d2_rm2_rm1,rqRealMult__k3_xcmplx_0__rn1d2_rm3_rnm3d2,rqRealMult__k3_xcmplx_0__rn1d2_rm4_rm2,rqRealMult__k3_xcmplx_0__rn1d2_rn1d2_rn1d4,rqRealMult__k3_xcmplx_0__rn1d2_rn3d2_rn3d4,rqRealMult__k3_xcmplx_0__rn1d2_rnm1d2_rnm1d4,rqRealMult__k3_xcmplx_0__rn1d3_r1_rn1d3,rqRealMult__k3_xcmplx_0__rn1d3_r2_rn2d3,rqRealMult__k3_xcmplx_0__rn1d3_r3_r1,rqRealMult__k3_xcmplx_0__rn1d3_r4_rn4d3,rqRealMult__k3_xcmplx_0__rn1d3_rm2_rnm2d3,rqRealMult__k3_xcmplx_0__rn1d3_rm3_rm1,rqRealMult__k3_xcmplx_0__rn1d4_r0_r0,rqRealMult__k3_xcmplx_0__rn1d4_r1_rn1d4,rqRealMult__k3_xcmplx_0__rn1d4_r2_rn1d2,rqRealMult__k3_xcmplx_0__rn1d4_r3_rn3d4,rqRealMult__k3_xcmplx_0__rn1d4_r4_r1,rqRealMult__k3_xcmplx_0__rn1d4_rm2_rnm1d2,rqRealMult__k3_xcmplx_0__rn1d4_rm3_rnm3d4,rqRealMult__k3_xcmplx_0__rn1d4_rm4_rm1,rqRealMult__k3_xcmplx_0__rn2d3_r1_rn2d3,rqRealMult__k3_xcmplx_0__rn2d3_r2_rn4d3,rqRealMult__k3_xcmplx_0__rn2d3_r3_r2,rqRealMult__k3_xcmplx_0__rn2d3_rm3_rm2,rqRealMult__k3_xcmplx_0__rn2d3_rn1d2_rn1d3,rqRealMult__k3_xcmplx_0__rn2d3_rn3d2_r1,rqRealMult__k3_xcmplx_0__rn2d3_rnm1d2_rnm1d3,rqRealMult__k3_xcmplx_0__rn2d3_rnm3d2_rm1,rqRealMult__k3_xcmplx_0__rn3d2_r0_r0,rqRealMult__k3_xcmplx_0__rn3d2_r1_rn3d2,rqRealMult__k3_xcmplx_0__rn3d2_r2_r3,rqRealMult__k3_xcmplx_0__rn3d2_rm2_rm3,rqRealMult__k3_xcmplx_0__rn3d2_rn1d3_rn1d2,rqRealMult__k3_xcmplx_0__rn3d2_rn2d3_r1,rqRealMult__k3_xcmplx_0__rn3d2_rn4d3_r2,rqRealMult__k3_xcmplx_0__rn3d2_rnm1d3_rnm1d2,rqRealMult__k3_xcmplx_0__rn3d2_rnm2d3_rm1,rqRealMult__k3_xcmplx_0__rn3d2_rnm4d3_rm2,rqRealMult__k3_xcmplx_0__rn3d4_r1_rn3d4,rqRealMult__k3_xcmplx_0__rn3d4_r2_rn3d2,rqRealMult__k3_xcmplx_0__rn3d4_r4_r3,rqRealMult__k3_xcmplx_0__rn3d4_rm2_rnm3d2,rqRealMult__k3_xcmplx_0__rn3d4_rm4_rm3,rqRealMult__k3_xcmplx_0__rn3d4_rn4d3_r1,rqRealMult__k3_xcmplx_0__rn3d4_rnm4d3_rm1,rqRealMult__k3_xcmplx_0__rn4d3_r1_rn4d3,rqRealMult__k3_xcmplx_0__rn4d3_r3_r4,rqRealMult__k3_xcmplx_0__rn4d3_rn1d4_rn1d3,rqRealMult__k3_xcmplx_0__rn4d3_rn3d4_r1,rqRealMult__k3_xcmplx_0__rn4d3_rnm1d4_rnm1d3,rqRealMult__k3_xcmplx_0__rn4d3_rnm3d4_rm1,rqRealMult__k3_xcmplx_0__rnm1d2_r3_rnm3d2,rqRealMult__k3_xcmplx_0__rnm1d2_r4_rm2,rqRealMult__k3_xcmplx_0__rnm1d2_rm3_rn3d2,rqRealMult__k3_xcmplx_0__rnm1d2_rm4_r2,rqRealMult__k3_xcmplx_0__rnm1d2_rn1d2_rnm1d4,rqRealMult__k3_xcmplx_0__rnm1d2_rn2d3_rnm1d3,rqRealMult__k3_xcmplx_0__rnm1d2_rnm1d2_rn1d4,rqRealMult__k3_xcmplx_0__rnm1d3_r1_rnm1d3,rqRealMult__k3_xcmplx_0__rnm1d3_r2_rnm2d3,rqRealMult__k3_xcmplx_0__rnm1d3_r3_rm1,rqRealMult__k3_xcmplx_0__rnm1d3_rm2_rn2d3,rqRealMult__k3_xcmplx_0__rnm1d3_rm3_r1,rqRealMult__k3_xcmplx_0__rnm1d3_rnm3d2_rn1d2,rqRealMult__k3_xcmplx_0__rnm1d4_r1_rnm1d4,rqRealMult__k3_xcmplx_0__rnm1d4_r2_rnm1d2,rqRealMult__k3_xcmplx_0__rnm1d4_r3_rnm3d4,rqRealMult__k3_xcmplx_0__rnm1d4_r4_rm1,rqRealMult__k3_xcmplx_0__rnm1d4_rm2_rn1d2,rqRealMult__k3_xcmplx_0__rnm1d4_rm3_rn3d4,rqRealMult__k3_xcmplx_0__rnm1d4_rm4_r1,rqRealMult__k3_xcmplx_0__rnm2d3_r1_rnm2d3,rqRealMult__k3_xcmplx_0__rnm2d3_r2_rnm4d3,rqRealMult__k3_xcmplx_0__rnm2d3_r3_rm2,rqRealMult__k3_xcmplx_0__rnm2d3_rm2_rn4d3,rqRealMult__k3_xcmplx_0__rnm2d3_rm3_r2,rqRealMult__k3_xcmplx_0__rnm2d3_rn1d2_rnm1d3,rqRealMult__k3_xcmplx_0__rnm2d3_rnm1d2_rn1d3,rqRealMult__k3_xcmplx_0__rnm2d3_rnm3d2_r1,rqRealMult__k3_xcmplx_0__rnm3d2_r1_rnm3d2,rqRealMult__k3_xcmplx_0__rnm3d2_r2_rm3,rqRealMult__k3_xcmplx_0__rnm3d2_rm2_r3,rqRealMult__k3_xcmplx_0__rnm3d2_rn1d2_rnm3d4,rqRealMult__k3_xcmplx_0__rnm3d2_rn2d3_rm1,rqRealMult__k3_xcmplx_0__rnm3d2_rn4d3_rm2,rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d2_rn3d4,rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d3_rn1d2,rqRealMult__k3_xcmplx_0__rnm3d2_rnm2d3_r1,rqRealMult__k3_xcmplx_0__rnm3d2_rnm4d3_r2,rqRealMult__k3_xcmplx_0__rnm3d4_r1_rnm3d4,rqRealMult__k3_xcmplx_0__rnm3d4_r2_rnm3d2,rqRealMult__k3_xcmplx_0__rnm3d4_r4_rm3,rqRealMult__k3_xcmplx_0__rnm3d4_rm2_rn3d2,rqRealMult__k3_xcmplx_0__rnm3d4_rm4_r3,rqRealMult__k3_xcmplx_0__rnm3d4_rn1d3_rnm1d4,rqRealMult__k3_xcmplx_0__rnm3d4_rn4d3_rm1,rqRealMult__k3_xcmplx_0__rnm3d4_rnm4d3_r1,rqRealMult__k3_xcmplx_0__rnm4d3_r1_rnm4d3,rqRealMult__k3_xcmplx_0__rnm4d3_r3_rm4,rqRealMult__k3_xcmplx_0__rnm4d3_rn1d2_rnm2d3,rqRealMult__k3_xcmplx_0__rnm4d3_rn1d4_rnm1d3,rqRealMult__k3_xcmplx_0__rnm4d3_rn3d4_rm1,rqRealMult__k3_xcmplx_0__rnm4d3_rnm1d2_rn2d3,rqRealMult__k3_xcmplx_0__rnm4d3_rnm1d4_rn1d3,rqRealMult__k3_xcmplx_0__rnm4d3_rnm3d2_r2,rqRealMult__k3_xcmplx_0__rnm4d3_rnm3d4_r1,rqRealNeg__k4_xcmplx_0__r0_r0,rqRealNeg__k4_xcmplx_0__r3_rm3,rqRealNeg__k4_xcmplx_0__r4_rm4,rqRealNeg__k4_xcmplx_0__rm3_r3,rqRealNeg__k4_xcmplx_0__rm4_r4,rqRealNeg__k4_xcmplx_0__rn1d3_rnm1d3,rqRealNeg__k4_xcmplx_0__rn1d4_rnm1d4,rqRealNeg__k4_xcmplx_0__rn2d3_rnm2d3,rqRealNeg__k4_xcmplx_0__rn3d2_rnm3d2,rqRealNeg__k4_xcmplx_0__rn3d4_rnm3d4,rqRealNeg__k4_xcmplx_0__rn4d3_rnm4d3,rqRealNeg__k4_xcmplx_0__rnm1d3_rn1d3,rqRealNeg__k4_xcmplx_0__rnm1d4_rn1d4,rqRealNeg__k4_xcmplx_0__rnm2d3_rn2d3,rqRealNeg__k4_xcmplx_0__rnm3d2_rn3d2,rqRealNeg__k4_xcmplx_0__rnm3d4_rn3d4,rqRealNeg__k4_xcmplx_0__rnm4d3_rn4d3,spc0_numerals,spc1_numerals,spc2_numerals,spc3_numerals,spc4_numerals,spc0_boole,spc1_boole,spc2_boole,spc3_boole,spc4_boole,e6_6__abian,rqRealNeg__k4_xcmplx_0__r1_rm1,rqRealMult__k3_xcmplx_0__r1_r1_r1,rqRealMult__k3_xcmplx_0__r1_r2_r2,rqRealNeg__k4_xcmplx_0__r2_rm2,rqRealMult__k3_xcmplx_0__r2_r1_r2,rqRealNeg__k4_xcmplx_0__rm2_r2,rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2,rqRealMult__k3_xcmplx_0__rnm1d2_rm2_r1,rqRealMult__k3_xcmplx_0__rnm1d2_r2_rm1,rqRealMult__k3_xcmplx_0__rnm1d2_r1_rnm1d2,rqRealMult__k3_xcmplx_0__rm2_r1_rm2,rqRealMult__k3_xcmplx_0__rm2_rnm1d2_r1,rqRealDiff__k6_xcmplx_0__rm2_rm2_r0,rqRealDiff__k6_xcmplx_0__r1_r1_r0,rqRealDiff__k6_xcmplx_0__r1_r2_rm1,rqRealNeg__k4_xcmplx_0__rm1_r1,rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2,rqRealDiff__k6_xcmplx_0__rm1_rm1_r0,rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2,rqRealDiff__k6_xcmplx_0__r2_r2_r0,rqRealDiff__k6_xcmplx_0__rm2_r2_rm4,rqRealMult__k3_xcmplx_0__r2_rnm1d2_rm1,rqRealDiff__k6_xcmplx_0__rm4_rm2_rm2,rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1,rqRealDiff__k6_xcmplx_0__r2_r1_r1,rqRealDiff__k6_xcmplx_0__rm2_r1_rm3,rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1,rqRealDiff__k6_xcmplx_0__r1_rm1_r2,rqRealDiff__k6_xcmplx_0__rm1_rm2_r1,rqRealDiff__k6_xcmplx_0__r2_rm1_r3,rqRealDiff__k6_xcmplx_0__r3_r1_r2,rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2,rqRealDiff__k6_xcmplx_0__r2_rn1d2_rn3d2,rqRealDiff__k6_xcmplx_0__rm1_r1_rm2]),
    [interesting(0.8),file(abian,e7_6__abian),[file(abian,e7_6__abian)]]).

fof(t22_int_1,theorem,(
    ! [A] : 
      ( v1_int_1(A)
     => ! [B] : 
          ( v1_int_1(B)
         => ( k3_xcmplx_0(A,B) = 1
          <=> ( ( A = 1
                & B = 1 )
              | ( A = k1_real_1(1)
                & B = k1_real_1(1) ) ) ) ) ) ),
    file(int_1,t22_int_1),
    [interesting(0.9),axiom,file(int_1,t22_int_1)]).

fof(e8_6__abian,plain,(
    ~ $true ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_6__abian,e2_6__abian,e4_6__abian])],[reflexivity_r1_tarski,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,cc20_membered,cc2_finset_1,cc2_membered,cc3_int_1,cc3_membered,cc4_membered,cc6_membered,cc9_membered,fc1_ordinal2,fc1_subset_1,fc5_membered,fc6_membered,rc1_finset_1,rc1_membered,rc1_subset_1,rc2_subset_1,rc3_finset_1,rc4_finset_1,t1_subset,t3_subset,t4_subset,t5_subset,existence_m1_subset_1,existence_m2_subset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_numbers,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,cc15_membered,cc1_finset_1,cc1_funct_1,cc2_int_1,fc2_membered,fc5_int_1,fc7_int_1,fc8_int_1,fc9_int_1,rc1_int_1,spc2_arithm,spc4_arithm,spc7_arithm,spc9_arithm,t1_numerals,t2_arithm,t2_subset,t3_arithm,t4_arithm,t5_arithm,t6_arithm,t6_boole,t7_boole,t8_boole,involutiveness_k1_real_1,commutativity_k3_xcmplx_0,involutiveness_k4_xcmplx_0,redefinition_k1_real_1,dt_k1_real_1,dt_k3_xcmplx_0,dt_k4_xcmplx_0,dt_k6_xcmplx_0,dt_k7_xcmplx_0,dt_c2_6__abian,dt_c3_6__abian,cc4_int_1,fc2_int_1,fc3_int_1,fc4_int_1,rc2_int_1,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_r0_r1,rqRealDiff__k6_xcmplx_0__r1_r3_rm2,rqRealDiff__k6_xcmplx_0__r1_rm2_r3,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_r0_r2,rqRealDiff__k6_xcmplx_0__r2_r3_rm1,rqRealDiff__k6_xcmplx_0__r2_rm1_r3,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_r0_rm1,rqRealDiff__k6_xcmplx_0__rm1_rm2_r1,rqRealDiff__k6_xcmplx_0__rm1_rm3_r2,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_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_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_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_rm1_rm1,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,rqRealMult__k3_xcmplx_0__r0_r0_r0,rqRealMult__k3_xcmplx_0__r0_r1_r0,rqRealMult__k3_xcmplx_0__r0_r2_r0,rqRealMult__k3_xcmplx_0__r0_r3_r0,rqRealMult__k3_xcmplx_0__r0_rm2_r0,rqRealMult__k3_xcmplx_0__r0_rm3_r0,rqRealMult__k3_xcmplx_0__r0_rn1d2_r0,rqRealMult__k3_xcmplx_0__r0_rn1d3_r0,rqRealMult__k3_xcmplx_0__r0_rn3d2_r0,rqRealMult__k3_xcmplx_0__r1_r0_r0,rqRealMult__k3_xcmplx_0__r1_r3_r3,rqRealMult__k3_xcmplx_0__r1_rm2_rm2,rqRealMult__k3_xcmplx_0__r1_rm3_rm3,rqRealMult__k3_xcmplx_0__r1_rn1d2_rn1d2,rqRealMult__k3_xcmplx_0__r1_rn1d3_rn1d3,rqRealMult__k3_xcmplx_0__r1_rn2d3_rn2d3,rqRealMult__k3_xcmplx_0__r1_rn3d2_rn3d2,rqRealMult__k3_xcmplx_0__r1_rnm1d2_rnm1d2,rqRealMult__k3_xcmplx_0__r1_rnm1d3_rnm1d3,rqRealMult__k3_xcmplx_0__r1_rnm2d3_rnm2d3,rqRealMult__k3_xcmplx_0__r2_r0_r0,rqRealMult__k3_xcmplx_0__r2_rn1d2_r1,rqRealMult__k3_xcmplx_0__r2_rn1d3_rn2d3,rqRealMult__k3_xcmplx_0__r2_rn3d2_r3,rqRealMult__k3_xcmplx_0__r2_rnm1d3_rnm2d3,rqRealMult__k3_xcmplx_0__r2_rnm3d2_rm3,rqRealMult__k3_xcmplx_0__r3_r0_r0,rqRealMult__k3_xcmplx_0__r3_r1_r3,rqRealMult__k3_xcmplx_0__r3_rn1d2_rn3d2,rqRealMult__k3_xcmplx_0__r3_rn1d3_r1,rqRealMult__k3_xcmplx_0__r3_rn2d3_r2,rqRealMult__k3_xcmplx_0__r3_rnm1d2_rnm3d2,rqRealMult__k3_xcmplx_0__r3_rnm1d3_rm1,rqRealMult__k3_xcmplx_0__r3_rnm2d3_rm2,rqRealMult__k3_xcmplx_0__rm2_r0_r0,rqRealMult__k3_xcmplx_0__rm2_r1_rm2,rqRealMult__k3_xcmplx_0__rm2_rn1d2_rm1,rqRealMult__k3_xcmplx_0__rm2_rn1d3_rnm2d3,rqRealMult__k3_xcmplx_0__rm2_rn3d2_rm3,rqRealMult__k3_xcmplx_0__rm2_rnm1d2_r1,rqRealMult__k3_xcmplx_0__rm2_rnm1d3_rn2d3,rqRealMult__k3_xcmplx_0__rm2_rnm3d2_r3,rqRealMult__k3_xcmplx_0__rm3_r0_r0,rqRealMult__k3_xcmplx_0__rm3_r1_rm3,rqRealMult__k3_xcmplx_0__rm3_rn1d2_rnm3d2,rqRealMult__k3_xcmplx_0__rm3_rn1d3_rm1,rqRealMult__k3_xcmplx_0__rm3_rn2d3_rm2,rqRealMult__k3_xcmplx_0__rm3_rnm1d2_rn3d2,rqRealMult__k3_xcmplx_0__rm3_rnm1d3_r1,rqRealMult__k3_xcmplx_0__rm3_rnm2d3_r2,rqRealMult__k3_xcmplx_0__rn1d2_r0_r0,rqRealMult__k3_xcmplx_0__rn1d2_r1_rn1d2,rqRealMult__k3_xcmplx_0__rn1d2_r2_r1,rqRealMult__k3_xcmplx_0__rn1d2_r3_rn3d2,rqRealMult__k3_xcmplx_0__rn1d2_rm2_rm1,rqRealMult__k3_xcmplx_0__rn1d2_rm3_rnm3d2,rqRealMult__k3_xcmplx_0__rn1d3_r1_rn1d3,rqRealMult__k3_xcmplx_0__rn1d3_r2_rn2d3,rqRealMult__k3_xcmplx_0__rn1d3_r3_r1,rqRealMult__k3_xcmplx_0__rn1d3_rm2_rnm2d3,rqRealMult__k3_xcmplx_0__rn1d3_rm3_rm1,rqRealMult__k3_xcmplx_0__rn2d3_r1_rn2d3,rqRealMult__k3_xcmplx_0__rn2d3_r3_r2,rqRealMult__k3_xcmplx_0__rn2d3_rm3_rm2,rqRealMult__k3_xcmplx_0__rn2d3_rn1d2_rn1d3,rqRealMult__k3_xcmplx_0__rn2d3_rn3d2_r1,rqRealMult__k3_xcmplx_0__rn2d3_rnm1d2_rnm1d3,rqRealMult__k3_xcmplx_0__rn2d3_rnm3d2_rm1,rqRealMult__k3_xcmplx_0__rn3d2_r0_r0,rqRealMult__k3_xcmplx_0__rn3d2_r1_rn3d2,rqRealMult__k3_xcmplx_0__rn3d2_r2_r3,rqRealMult__k3_xcmplx_0__rn3d2_rm2_rm3,rqRealMult__k3_xcmplx_0__rn3d2_rn1d3_rn1d2,rqRealMult__k3_xcmplx_0__rn3d2_rn2d3_r1,rqRealMult__k3_xcmplx_0__rn3d2_rnm1d3_rnm1d2,rqRealMult__k3_xcmplx_0__rn3d2_rnm2d3_rm1,rqRealMult__k3_xcmplx_0__rnm1d2_r3_rnm3d2,rqRealMult__k3_xcmplx_0__rnm1d2_rm3_rn3d2,rqRealMult__k3_xcmplx_0__rnm1d2_rn2d3_rnm1d3,rqRealMult__k3_xcmplx_0__rnm1d3_r1_rnm1d3,rqRealMult__k3_xcmplx_0__rnm1d3_r2_rnm2d3,rqRealMult__k3_xcmplx_0__rnm1d3_r3_rm1,rqRealMult__k3_xcmplx_0__rnm1d3_rm2_rn2d3,rqRealMult__k3_xcmplx_0__rnm1d3_rm3_r1,rqRealMult__k3_xcmplx_0__rnm1d3_rnm3d2_rn1d2,rqRealMult__k3_xcmplx_0__rnm2d3_r1_rnm2d3,rqRealMult__k3_xcmplx_0__rnm2d3_r3_rm2,rqRealMult__k3_xcmplx_0__rnm2d3_rm3_r2,rqRealMult__k3_xcmplx_0__rnm2d3_rn1d2_rnm1d3,rqRealMult__k3_xcmplx_0__rnm2d3_rnm1d2_rn1d3,rqRealMult__k3_xcmplx_0__rnm2d3_rnm3d2_r1,rqRealMult__k3_xcmplx_0__rnm3d2_r1_rnm3d2,rqRealMult__k3_xcmplx_0__rnm3d2_r2_rm3,rqRealMult__k3_xcmplx_0__rnm3d2_rm2_r3,rqRealMult__k3_xcmplx_0__rnm3d2_rn2d3_rm1,rqRealMult__k3_xcmplx_0__rnm3d2_rnm1d3_rn1d2,rqRealMult__k3_xcmplx_0__rnm3d2_rnm2d3_r1,rqRealNeg__k4_xcmplx_0__r0_r0,rqRealNeg__k4_xcmplx_0__r3_rm3,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__rnm1d3_rn1d3,rqRealNeg__k4_xcmplx_0__rnm2d3_rn2d3,rqRealNeg__k4_xcmplx_0__rnm3d2_rn3d2,spc0_numerals,spc1_numerals,spc2_numerals,spc3_numerals,spc0_boole,spc1_boole,spc2_boole,spc3_boole,e7_6__abian,t22_int_1,rqRealMult__k3_xcmplx_0__r1_r1_r1,rqRealNeg__k4_xcmplx_0__r1_rm1,rqRealMult__k3_xcmplx_0__r1_r2_r2,rqRealMult__k3_xcmplx_0__r2_r1_r2,rqRealNeg__k4_xcmplx_0__r2_rm2,rqRealNeg__k4_xcmplx_0__rm2_r2,rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2,rqRealMult__k3_xcmplx_0__rnm1d2_rm2_r1,rqRealMult__k3_xcmplx_0__rnm1d2_r2_rm1,rqRealMult__k3_xcmplx_0__rnm1d2_r1_rnm1d2,rqRealDiff__k6_xcmplx_0__r1_rm1_r2,rqRealDiff__k6_xcmplx_0__r1_r2_rm1,rqRealNeg__k4_xcmplx_0__rm1_r1,rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2,rqRealDiff__k6_xcmplx_0__rm1_rm1_r0,rqRealDiff__k6_xcmplx_0__r1_r1_r0,rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2,rqRealMult__k3_xcmplx_0__r2_rnm1d2_rm1,rqRealDiff__k6_xcmplx_0__r2_r2_r0,rqRealDiff__k6_xcmplx_0__rm2_rm2_r0,rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1,rqRealDiff__k6_xcmplx_0__r2_r1_r1,rqRealDiff__k6_xcmplx_0__rm2_r1_rm3,rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1,rqRealDiff__k6_xcmplx_0__rm1_r2_rm3,rqRealDiff__k6_xcmplx_0__rm1_rn1d2_rnm3d2,rqRealDiff__k6_xcmplx_0__r2_rn1d2_rn3d2,rqRealDiff__k6_xcmplx_0__rm1_r1_rm2]),
    [interesting(0.8),file(abian,e8_6__abian),[file(abian,e8_6__abian)]]).

fof(i5_6__abian,theorem,(
    $true ),
    introduced(tautology,[file(abian,i5_6__abian)]),
    [interesting(0.8),trivial,file(abian,i5_6__abian)]).

fof(i4_6__abian,plain,(
    ~ $true ),
    inference(conclusion,[status(thm),assumptions([dt_c1_6__abian,e2_6__abian,e4_6__abian])],[e8_6__abian,i5_6__abian]),
    [interesting(0.8),file(abian,i4_6__abian),[file(abian,i4_6__abian)]]).

fof(i4_6_tmp__abian,plain,
    ( ? [A] : 
        ( v1_int_1(A)
        & c1_6__abian = k3_xcmplx_0(2,A) )
   => ~ $true ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_6__abian,e2_6__abian]),discharge_asm(discharge,[e4_6__abian])],[e4_6__abian,i4_6__abian]),
    [interesting(0.8),i3_6__abian]).

fof(i3_6__abian,plain,(
    ~ v1_abian(c1_6__abian) ),
    inference(mizar_def_expansion,[status(thm),assumptions([dt_c1_6__abian,e2_6__abian])],[i4_6_tmp__abian,d1_abian,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,cc20_membered,cc2_finset_1,cc2_membered,cc3_int_1,cc3_membered,cc4_membered,cc6_membered,cc9_membered,fc1_ordinal2,fc1_subset_1,fc5_membered,rc1_abian,rc1_finset_1,rc1_membered,rc1_subset_1,rc2_abian,rc2_subset_1,rc3_finset_1,rc4_finset_1,redefinition_k5_numbers,redefinition_m2_subset_1,dt_k1_numbers,dt_k5_numbers,dt_m1_subset_1,dt_m2_subset_1,cc15_membered,cc1_finset_1,cc1_funct_1,cc2_int_1,fc2_membered,fc7_int_1,rc1_int_1,rc3_abian,rc4_abian,commutativity_k3_xcmplx_0,dt_k3_xcmplx_0,dt_c1_6__abian,cc4_int_1,fc2_int_1,rc2_int_1,spc2_numerals,spc2_boole]),
    [interesting(0.8),file(abian,i3_6__abian),[file(abian,i3_6__abian)]]).

fof(i2_6__abian,plain,(
    ~ ( ? [A] : 
          ( v1_int_1(A)
          & c1_6__abian = k2_xcmplx_0(k3_xcmplx_0(2,A),1) )
      & v1_abian(c1_6__abian) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_6__abian]),discharge_asm(discharge,[e2_6__abian])],[e2_6__abian,i3_6__abian]),
    [interesting(0.8),file(abian,i2_6__abian),[file(abian,i2_6__abian)]]).

fof(i1_6__abian,plain,
    ( ~ ( ~ v1_abian(c1_6__abian)
        & ! [A] : 
            ( v1_int_1(A)
           => c1_6__abian != k2_xcmplx_0(k3_xcmplx_0(2,A),1) ) )
    & ~ ( ? [A] : 
            ( v1_int_1(A)
            & c1_6__abian = k2_xcmplx_0(k3_xcmplx_0(2,A),1) )
        & v1_abian(c1_6__abian) ) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_6__abian])],[e1_6__abian,i2_6__abian]),
    [interesting(0.8),file(abian,i1_6__abian),[file(abian,i1_6__abian)]]).

fof(i1_6_tmp__abian,plain,
    ( v1_int_1(c1_6__abian)
   => ( ~ ( ~ v1_abian(c1_6__abian)
          & ! [A] : 
              ( v1_int_1(A)
             => c1_6__abian != k2_xcmplx_0(k3_xcmplx_0(2,A),1) ) )
      & ~ ( ? [A] : 
              ( v1_int_1(A)
              & c1_6__abian = k2_xcmplx_0(k3_xcmplx_0(2,A),1) )
          & v1_abian(c1_6__abian) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_6__abian])],[dt_c1_6__abian,i1_6__abian]),
    [interesting(1),t1_abian]).

fof(t1_abian,theorem,(
    ! [A] : 
      ( v1_int_1(A)
     => ( ~ ( ~ v1_abian(A)
            & ! [B] : 
                ( v1_int_1(B)
               => A != k2_xcmplx_0(k3_xcmplx_0(2,B),1) ) )
        & ~ ( ? [B] : 
                ( v1_int_1(B)
                & A = k2_xcmplx_0(k3_xcmplx_0(2,B),1) )
            & v1_abian(A) ) ) ) ),
    inference(let,[status(thm),assumptions([])],[i1_6_tmp__abian,dh_c1_6__abian]),
    [interesting(1),file(abian,t1_abian),[file(abian,t1_abian)]]).