% Mizar ND problem: t5_card_4,card_4,73,18 
fof(dh_c1_4__card_4,definition,
    ( ( v3_ordinal1(c1_4__card_4)
     => k4_xboole_0(k1_ordinal1(c1_4__card_4),k1_tarski(c1_4__card_4)) = c1_4__card_4 )
   => ! [A] : 
        ( v3_ordinal1(A)
       => k4_xboole_0(k1_ordinal1(A),k1_tarski(A)) = A ) ),
    introduced(definition,[new_symbol(c1_4__card_4),file(card_4,c1_4__card_4)]),
    [interesting(0.8),axiom,file(card_4,c1_4__card_4)]).

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

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

fof(cc2_ordinal1,theorem,(
    ! [A] : 
      ( ( v1_ordinal1(A)
        & v2_ordinal1(A) )
     => v3_ordinal1(A) ) ),
    file(ordinal1,cc2_ordinal1),
    [interesting(0.9),axiom,file(ordinal1,cc2_ordinal1)]).

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(fc37_membered,theorem,(
    ! [A,B] : 
      ( v1_membered(A)
     => v1_membered(k4_xboole_0(A,B)) ) ),
    file(membered,fc37_membered),
    [interesting(0.9),axiom,file(membered,fc37_membered)]).

fof(fc38_membered,theorem,(
    ! [A,B] : 
      ( v2_membered(A)
     => ( v1_membered(k4_xboole_0(A,B))
        & v2_membered(k4_xboole_0(A,B)) ) ) ),
    file(membered,fc38_membered),
    [interesting(0.9),axiom,file(membered,fc38_membered)]).

fof(fc39_membered,theorem,(
    ! [A,B] : 
      ( v3_membered(A)
     => ( v1_membered(k4_xboole_0(A,B))
        & v2_membered(k4_xboole_0(A,B))
        & v3_membered(k4_xboole_0(A,B)) ) ) ),
    file(membered,fc39_membered),
    [interesting(0.9),axiom,file(membered,fc39_membered)]).

fof(fc40_membered,theorem,(
    ! [A,B] : 
      ( v4_membered(A)
     => ( v1_membered(k4_xboole_0(A,B))
        & v2_membered(k4_xboole_0(A,B))
        & v3_membered(k4_xboole_0(A,B))
        & v4_membered(k4_xboole_0(A,B)) ) ) ),
    file(membered,fc40_membered),
    [interesting(0.9),axiom,file(membered,fc40_membered)]).

fof(fc41_membered,theorem,(
    ! [A,B] : 
      ( v5_membered(A)
     => ( v1_membered(k4_xboole_0(A,B))
        & v2_membered(k4_xboole_0(A,B))
        & v3_membered(k4_xboole_0(A,B))
        & v4_membered(k4_xboole_0(A,B))
        & v5_membered(k4_xboole_0(A,B)) ) ) ),
    file(membered,fc41_membered),
    [interesting(0.9),axiom,file(membered,fc41_membered)]).

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_ordinal1,theorem,(
    ? [A] : 
      ( v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A) ) ),
    file(ordinal1,rc1_ordinal1),
    [interesting(0.9),axiom,file(ordinal1,rc1_ordinal1)]).

fof(rc3_ordinal1,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A) ) ),
    file(ordinal1,rc3_ordinal1),
    [interesting(0.9),axiom,file(ordinal1,rc3_ordinal1)]).

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(cc1_ordinal1,theorem,(
    ! [A] : 
      ( v3_ordinal1(A)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A) ) ) ),
    file(ordinal1,cc1_ordinal1),
    [interesting(0.9),axiom,file(ordinal1,cc1_ordinal1)]).

fof(cc3_ordinal1,theorem,(
    ! [A] : 
      ( v1_xboole_0(A)
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A) ) ) ),
    file(ordinal1,cc3_ordinal1),
    [interesting(0.9),axiom,file(ordinal1,cc3_ordinal1)]).

fof(fc12_finset_1,theorem,(
    ! [A,B] : 
      ( v1_finset_1(A)
     => v1_finset_1(k4_xboole_0(A,B)) ) ),
    file(finset_1,fc12_finset_1),
    [interesting(0.9),axiom,file(finset_1,fc12_finset_1)]).

fof(fc3_ordinal1,theorem,(
    ! [A] : 
      ( v3_ordinal1(A)
     => ( ~ v1_xboole_0(k1_ordinal1(A))
        & v1_ordinal1(k1_ordinal1(A))
        & v2_ordinal1(k1_ordinal1(A))
        & v3_ordinal1(k1_ordinal1(A)) ) ) ),
    file(ordinal1,fc3_ordinal1),
    [interesting(0.9),axiom,file(ordinal1,fc3_ordinal1)]).

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

fof(dt_k1_ordinal1,axiom,(
    $true ),
    file(ordinal1,k1_ordinal1),
    [interesting(0.9),axiom,file(ordinal1,k1_ordinal1)]).

fof(dt_k1_tarski,axiom,(
    $true ),
    file(tarski,k1_tarski),
    [interesting(0.9),axiom,file(tarski,k1_tarski)]).

fof(dt_k4_xboole_0,axiom,(
    $true ),
    file(xboole_0,k4_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k4_xboole_0)]).

fof(dt_c1_4__card_4,assumption,(
    v3_ordinal1(c1_4__card_4) ),
    introduced(assumption,[file(card_4,c1_4__card_4)]),
    [interesting(0.8),axiom,file(card_4,c1_4__card_4)]).

fof(fc1_finset_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(k1_tarski(A))
      & v1_finset_1(k1_tarski(A)) ) ),
    file(finset_1,fc1_finset_1),
    [interesting(0.9),axiom,file(finset_1,fc1_finset_1)]).

fof(fc1_ordinal1,theorem,(
    ! [A] : ~ v1_xboole_0(k1_ordinal1(A)) ),
    file(ordinal1,fc1_ordinal1),
    [interesting(0.9),axiom,file(ordinal1,fc1_ordinal1)]).

fof(fc2_subset_1,theorem,(
    ! [A] : ~ v1_xboole_0(k1_tarski(A)) ),
    file(subset_1,fc2_subset_1),
    [interesting(0.9),axiom,file(subset_1,fc2_subset_1)]).

fof(d10_xboole_0,definition,(
    ! [A,B] : 
      ( A = B
    <=> ( r1_tarski(A,B)
        & r1_tarski(B,A) ) ) ),
    file(xboole_0,d10_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,d10_xboole_0)]).

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_c1_4_1__card_4,assumption,(
    $true ),
    introduced(assumption,[file(card_4,c1_4_1__card_4)]),
    [interesting(0.65),axiom,file(card_4,c1_4_1__card_4)]).

fof(d3_tarski,definition,(
    ! [A,B] : 
      ( r1_tarski(A,B)
    <=> ! [C] : 
          ( r2_hidden(C,A)
         => r2_hidden(C,B) ) ) ),
    file(tarski,d3_tarski),
    [interesting(0.9),axiom,file(tarski,d3_tarski)]).

fof(dh_c1_4_1__card_4,definition,
    ( ~ ( r2_hidden(c1_4_1__card_4,k4_xboole_0(k1_ordinal1(c1_4__card_4),k1_tarski(c1_4__card_4)))
        & ~ r2_hidden(c1_4_1__card_4,c1_4__card_4) )
   => ! [A] : 
        ~ ( r2_hidden(A,k4_xboole_0(k1_ordinal1(c1_4__card_4),k1_tarski(c1_4__card_4)))
          & ~ r2_hidden(A,c1_4__card_4) ) ),
    introduced(definition,[new_symbol(c1_4_1__card_4),file(card_4,c1_4_1__card_4)]),
    [interesting(0.65),axiom,file(card_4,c1_4_1__card_4)]).

fof(e1_4_1__card_4,assumption,(
    r2_hidden(c1_4_1__card_4,k4_xboole_0(k1_ordinal1(c1_4__card_4),k1_tarski(c1_4__card_4))) ),
    introduced(assumption,[file(card_4,e1_4_1__card_4)]),
    [interesting(0.65),axiom,file(card_4,e1_4_1__card_4)]).

fof(cc3_xreal_0,theorem,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & v2_xreal_0(A) )
     => ( ~ v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(xreal_0,cc3_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc3_xreal_0)]).

fof(cc4_xreal_0,theorem,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_xreal_0(A)
        & ~ v3_xreal_0(A) )
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & v2_xreal_0(A) ) ) ),
    file(xreal_0,cc4_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc4_xreal_0)]).

fof(cc5_xreal_0,theorem,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & v3_xreal_0(A) )
     => ( ~ v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A) ) ) ),
    file(xreal_0,cc5_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc5_xreal_0)]).

fof(cc6_xreal_0,theorem,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A) )
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & v3_xreal_0(A) ) ) ),
    file(xreal_0,cc6_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc6_xreal_0)]).

fof(cc8_xreal_0,theorem,(
    ! [A] : 
      ( ( v1_xreal_0(A)
        & ~ v2_xreal_0(A)
        & ~ v3_xreal_0(A) )
     => ( v1_xboole_0(A)
        & v1_xcmplx_0(A)
        & v1_xreal_0(A) ) ) ),
    file(xreal_0,cc8_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc8_xreal_0)]).

fof(rc2_xreal_0,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & v2_xreal_0(A)
      & ~ v3_xreal_0(A) ) ),
    file(xreal_0,rc2_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,rc2_xreal_0)]).

fof(rc3_xreal_0,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & ~ v2_xreal_0(A)
      & v3_xreal_0(A) ) ),
    file(xreal_0,rc3_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,rc3_xreal_0)]).

fof(rc4_xreal_0,theorem,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_xcmplx_0(A)
      & v1_xreal_0(A)
      & ~ v2_xreal_0(A)
      & ~ v3_xreal_0(A) ) ),
    file(xreal_0,rc4_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,rc4_xreal_0)]).

fof(cc1_finseq_1,theorem,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finset_1(A) ) ) ),
    file(finseq_1,cc1_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,cc1_finseq_1)]).

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

fof(cc2_funct_1,theorem,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_xboole_0(A)
        & v1_funct_1(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v2_funct_1(A) ) ) ),
    file(funct_1,cc2_funct_1),
    [interesting(0.9),axiom,file(funct_1,cc2_funct_1)]).

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

fof(cc7_xreal_0,theorem,(
    ! [A] : 
      ( ( v1_xboole_0(A)
        & v1_xreal_0(A) )
     => ( v1_xcmplx_0(A)
        & v1_xreal_0(A)
        & ~ v2_xreal_0(A)
        & ~ v3_xreal_0(A) ) ) ),
    file(xreal_0,cc7_xreal_0),
    [interesting(0.9),axiom,file(xreal_0,cc7_xreal_0)]).

fof(rc1_finseq_1,theorem,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finseq_1(A) ) ),
    file(finseq_1,rc1_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,rc1_finseq_1)]).

fof(rc1_funct_1,theorem,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc1_funct_1),
    [interesting(0.9),axiom,file(funct_1,rc1_funct_1)]).

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

fof(rc2_funct_1,theorem,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_xboole_0(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc2_funct_1),
    [interesting(0.9),axiom,file(funct_1,rc2_funct_1)]).

fof(rc2_ordinal1,theorem,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_xboole_0(A)
      & v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A) ) ),
    file(ordinal1,rc2_ordinal1),
    [interesting(0.9),axiom,file(ordinal1,rc2_ordinal1)]).

fof(rc3_finseq_1,theorem,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A) ) ),
    file(finseq_1,rc3_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,rc3_finseq_1)]).

fof(rc3_funct_1,theorem,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A) ) ),
    file(funct_1,rc3_funct_1),
    [interesting(0.9),axiom,file(funct_1,rc3_funct_1)]).

fof(rc4_funct_1,theorem,(
    ? [A] : 
      ( v1_relat_1(A)
      & v3_relat_1(A)
      & v1_funct_1(A) ) ),
    file(funct_1,rc4_funct_1),
    [interesting(0.9),axiom,file(funct_1,rc4_funct_1)]).

fof(rc6_finseq_1,theorem,(
    ? [A] : 
      ( v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_finset_1(A) ) ),
    file(finseq_1,rc6_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,rc6_finseq_1)]).

fof(rc7_finseq_1,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A) ) ),
    file(finseq_1,rc7_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,rc7_finseq_1)]).

fof(rc8_finseq_1,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_relat_1(A)
      & v1_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A) ) ),
    file(finseq_1,rc8_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,rc8_finseq_1)]).

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

fof(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(fc2_finseq_1,theorem,
    ( v1_xboole_0(k1_xboole_0)
    & v1_relat_1(k1_xboole_0)
    & v3_relat_1(k1_xboole_0)
    & v1_funct_1(k1_xboole_0)
    & v2_funct_1(k1_xboole_0)
    & v1_finset_1(k1_xboole_0)
    & v1_finseq_1(k1_xboole_0) ),
    file(finseq_1,fc2_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,fc2_finseq_1)]).

fof(fc2_ordinal1,theorem,
    ( v1_relat_1(k1_xboole_0)
    & v3_relat_1(k1_xboole_0)
    & v1_funct_1(k1_xboole_0)
    & v2_funct_1(k1_xboole_0)
    & v1_xboole_0(k1_xboole_0)
    & v1_ordinal1(k1_xboole_0)
    & v2_ordinal1(k1_xboole_0)
    & v3_ordinal1(k1_xboole_0) ),
    file(ordinal1,fc2_ordinal1),
    [interesting(0.9),axiom,file(ordinal1,fc2_ordinal1)]).

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

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(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(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(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(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(fc10_membered,theorem,(
    ! [A] : 
      ( v1_int_1(A)
     => ( v1_membered(k1_tarski(A))
        & v2_membered(k1_tarski(A))
        & v3_membered(k1_tarski(A))
        & v4_membered(k1_tarski(A)) ) ) ),
    file(membered,fc10_membered),
    [interesting(0.9),axiom,file(membered,fc10_membered)]).

fof(fc11_membered,theorem,(
    ! [A] : 
      ( v4_ordinal2(A)
     => ( v1_membered(k1_tarski(A))
        & v2_membered(k1_tarski(A))
        & v3_membered(k1_tarski(A))
        & v4_membered(k1_tarski(A))
        & v5_membered(k1_tarski(A)) ) ) ),
    file(membered,fc11_membered),
    [interesting(0.9),axiom,file(membered,fc11_membered)]).

fof(fc7_membered,theorem,(
    ! [A] : 
      ( v1_xcmplx_0(A)
     => v1_membered(k1_tarski(A)) ) ),
    file(membered,fc7_membered),
    [interesting(0.9),axiom,file(membered,fc7_membered)]).

fof(fc8_membered,theorem,(
    ! [A] : 
      ( v1_xreal_0(A)
     => ( v1_membered(k1_tarski(A))
        & v2_membered(k1_tarski(A)) ) ) ),
    file(membered,fc8_membered),
    [interesting(0.9),axiom,file(membered,fc8_membered)]).

fof(fc9_membered,theorem,(
    ! [A] : 
      ( v1_rat_1(A)
     => ( v1_membered(k1_tarski(A))
        & v2_membered(k1_tarski(A))
        & v3_membered(k1_tarski(A)) ) ) ),
    file(membered,fc9_membered),
    [interesting(0.9),axiom,file(membered,fc9_membered)]).

fof(t3_boole,theorem,(
    ! [A] : k4_xboole_0(A,k1_xboole_0) = A ),
    file(boole,t3_boole),
    [interesting(0.9),axiom,file(boole,t3_boole)]).

fof(t4_boole,theorem,(
    ! [A] : k4_xboole_0(k1_xboole_0,A) = k1_xboole_0 ),
    file(boole,t4_boole),
    [interesting(0.9),axiom,file(boole,t4_boole)]).

fof(d4_xboole_0,definition,(
    ! [A,B,C] : 
      ( C = k4_xboole_0(A,B)
    <=> ! [D] : 
          ( r2_hidden(D,C)
        <=> ( r2_hidden(D,A)
            & ~ r2_hidden(D,B) ) ) ) ),
    file(xboole_0,d4_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,d4_xboole_0)]).

fof(e2_4_1__card_4,plain,
    ( r2_hidden(c1_4_1__card_4,k1_ordinal1(c1_4__card_4))
    & ~ r2_hidden(c1_4_1__card_4,k1_tarski(c1_4__card_4)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_4__card_4,dt_c1_4_1__card_4,e1_4_1__card_4])],[cc3_xreal_0,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc8_xreal_0,rc2_xreal_0,rc3_xreal_0,rc4_xreal_0,cc1_finseq_1,cc1_xreal_0,cc2_funct_1,cc2_xreal_0,cc7_xreal_0,fc10_membered,fc11_membered,fc7_membered,fc8_membered,fc9_membered,rc1_finseq_1,rc1_funct_1,rc1_xreal_0,rc2_funct_1,rc2_ordinal1,rc3_finseq_1,rc3_funct_1,rc4_funct_1,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,dt_k1_xboole_0,cc10_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,cc1_membered,cc2_membered,cc2_ordinal1,cc3_membered,cc4_membered,fc2_finseq_1,fc2_ordinal1,fc37_membered,fc38_membered,fc39_membered,fc40_membered,fc41_membered,fc6_membered,rc1_membered,rc1_ordinal1,rc3_ordinal1,t3_boole,t4_boole,existence_m1_subset_1,dt_m1_subset_1,cc15_membered,cc1_finset_1,cc1_funct_1,cc1_ordinal1,cc3_ordinal1,fc12_finset_1,fc3_ordinal1,rc1_finset_1,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_ordinal1,dt_k1_tarski,dt_k4_xboole_0,dt_c1_4__card_4,dt_c1_4_1__card_4,fc1_finset_1,fc1_ordinal1,fc2_subset_1,t1_subset,t7_boole,e1_4_1__card_4,d4_xboole_0]),
    [interesting(0.65),file(card_4,e2_4_1__card_4),[file(card_4,e2_4_1__card_4)]]).

fof(t13_ordinal1,theorem,(
    ! [A,B] : 
      ( r2_hidden(A,k1_ordinal1(B))
    <=> ( r2_hidden(A,B)
        | A = B ) ) ),
    file(ordinal1,t13_ordinal1),
    [interesting(0.9),axiom,file(ordinal1,t13_ordinal1)]).

fof(d1_tarski,definition,(
    ! [A,B] : 
      ( B = k1_tarski(A)
    <=> ! [C] : 
          ( r2_hidden(C,B)
        <=> C = A ) ) ),
    file(tarski,d1_tarski),
    [interesting(0.9),axiom,file(tarski,d1_tarski)]).

fof(e3_4_1__card_4,plain,
    ( ( r2_hidden(c1_4_1__card_4,c1_4__card_4)
      | c1_4_1__card_4 = c1_4__card_4 )
    & c1_4_1__card_4 != c1_4__card_4 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_4__card_4,dt_c1_4_1__card_4,e1_4_1__card_4])],[cc3_xreal_0,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc8_xreal_0,rc2_xreal_0,rc3_xreal_0,rc4_xreal_0,cc1_finseq_1,cc1_xreal_0,cc2_funct_1,cc2_xreal_0,cc7_xreal_0,fc10_membered,fc11_membered,fc7_membered,fc8_membered,fc9_membered,rc1_finseq_1,rc1_funct_1,rc1_xreal_0,rc2_funct_1,rc2_ordinal1,rc3_finseq_1,rc3_funct_1,rc4_funct_1,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,dt_k1_xboole_0,cc10_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,cc1_membered,cc2_membered,cc2_ordinal1,cc3_membered,cc4_membered,fc2_finseq_1,fc2_ordinal1,fc6_membered,rc1_membered,rc1_ordinal1,rc3_ordinal1,existence_m1_subset_1,dt_m1_subset_1,cc15_membered,cc1_finset_1,cc1_funct_1,cc1_ordinal1,cc3_ordinal1,fc3_ordinal1,rc1_finset_1,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_ordinal1,dt_k1_tarski,dt_c1_4__card_4,dt_c1_4_1__card_4,fc1_finset_1,fc1_ordinal1,fc2_subset_1,t1_subset,t7_boole,e2_4_1__card_4,t13_ordinal1,d1_tarski]),
    [interesting(0.65),file(card_4,e3_4_1__card_4),[file(card_4,e3_4_1__card_4)]]).

fof(e4_4_1__card_4,plain,(
    r2_hidden(c1_4_1__card_4,c1_4__card_4) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_4__card_4,dt_c1_4_1__card_4,e1_4_1__card_4])],[cc3_xreal_0,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc8_xreal_0,rc2_xreal_0,rc3_xreal_0,rc4_xreal_0,cc1_finseq_1,cc1_xreal_0,cc2_funct_1,cc2_xreal_0,cc7_xreal_0,rc1_finseq_1,rc1_funct_1,rc1_xreal_0,rc2_funct_1,rc2_ordinal1,rc3_finseq_1,rc3_funct_1,rc4_funct_1,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,dt_k1_xboole_0,cc10_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,cc1_membered,cc2_membered,cc2_ordinal1,cc3_membered,cc4_membered,fc2_finseq_1,fc2_ordinal1,fc6_membered,rc1_finset_1,rc1_membered,rc1_ordinal1,rc3_ordinal1,existence_m1_subset_1,dt_m1_subset_1,cc15_membered,cc1_finset_1,cc1_funct_1,cc1_ordinal1,cc3_ordinal1,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_c1_4__card_4,dt_c1_4_1__card_4,t1_subset,t7_boole,e3_4_1__card_4]),
    [interesting(0.65),file(card_4,e4_4_1__card_4),[file(card_4,e4_4_1__card_4)]]).

fof(i3_4_1__card_4,theorem,(
    $true ),
    introduced(tautology,[file(card_4,i3_4_1__card_4)]),
    [interesting(0.65),trivial,file(card_4,i3_4_1__card_4)]).

fof(i2_4_1__card_4,plain,(
    r2_hidden(c1_4_1__card_4,c1_4__card_4) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_4__card_4,dt_c1_4_1__card_4,e1_4_1__card_4])],[e4_4_1__card_4,i3_4_1__card_4]),
    [interesting(0.65),file(card_4,i2_4_1__card_4),[file(card_4,i2_4_1__card_4)]]).

fof(i1_4_1__card_4,plain,(
    ~ ( r2_hidden(c1_4_1__card_4,k4_xboole_0(k1_ordinal1(c1_4__card_4),k1_tarski(c1_4__card_4)))
      & ~ r2_hidden(c1_4_1__card_4,c1_4__card_4) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_4__card_4,dt_c1_4_1__card_4]),discharge_asm(discharge,[e1_4_1__card_4])],[e1_4_1__card_4,i2_4_1__card_4]),
    [interesting(0.65),file(card_4,i1_4_1__card_4),[file(card_4,i1_4_1__card_4)]]).

fof(i1_4_1_tmp__card_4,plain,(
    ~ ( r2_hidden(c1_4_1__card_4,k4_xboole_0(k1_ordinal1(c1_4__card_4),k1_tarski(c1_4__card_4)))
      & ~ r2_hidden(c1_4_1__card_4,c1_4__card_4) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_4__card_4]),discharge_asm(discharge,[dt_c1_4_1__card_4])],[dt_c1_4_1__card_4,i1_4_1__card_4]),
    [interesting(0.8),e1_4__card_4]).

fof(e1_4__card_4,plain,(
    r1_tarski(k4_xboole_0(k1_ordinal1(c1_4__card_4),k1_tarski(c1_4__card_4)),c1_4__card_4) ),
    inference(let,[status(thm),assumptions([dt_c1_4__card_4])],[i1_4_1_tmp__card_4,cc1_membered,cc2_membered,cc2_ordinal1,cc3_membered,cc4_membered,fc37_membered,fc38_membered,fc39_membered,fc40_membered,fc41_membered,rc1_membered,rc1_ordinal1,rc3_ordinal1,cc15_membered,cc1_finset_1,cc1_funct_1,cc1_ordinal1,cc3_ordinal1,fc12_finset_1,fc3_ordinal1,rc1_finset_1,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_ordinal1,dt_k1_tarski,dt_k4_xboole_0,dt_c1_4__card_4,fc1_finset_1,fc1_ordinal1,fc2_subset_1,d3_tarski,dh_c1_4_1__card_4]),
    [interesting(0.8),file(card_4,e1_4__card_4),[file(card_4,e1_4__card_4)]]).

fof(dt_c2_4__card_4,assumption,(
    $true ),
    introduced(assumption,[file(card_4,c2_4__card_4)]),
    [interesting(0.8),axiom,file(card_4,c2_4__card_4)]).

fof(dh_c2_4__card_4,definition,
    ( ~ ( r2_hidden(c2_4__card_4,c1_4__card_4)
        & ~ r2_hidden(c2_4__card_4,k4_xboole_0(k1_ordinal1(c1_4__card_4),k1_tarski(c1_4__card_4))) )
   => ! [A] : 
        ~ ( r2_hidden(A,c1_4__card_4)
          & ~ r2_hidden(A,k4_xboole_0(k1_ordinal1(c1_4__card_4),k1_tarski(c1_4__card_4))) ) ),
    introduced(definition,[new_symbol(c2_4__card_4),file(card_4,c2_4__card_4)]),
    [interesting(0.8),axiom,file(card_4,c2_4__card_4)]).

fof(e2_4__card_4,assumption,(
    r2_hidden(c2_4__card_4,c1_4__card_4) ),
    introduced(assumption,[file(card_4,e2_4__card_4)]),
    [interesting(0.8),axiom,file(card_4,e2_4__card_4)]).

fof(e3_4__card_4,plain,
    ( r2_hidden(c2_4__card_4,k1_ordinal1(c1_4__card_4))
    & c2_4__card_4 != c1_4__card_4 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_4__card_4,dt_c2_4__card_4,e2_4__card_4])],[cc3_xreal_0,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc8_xreal_0,rc2_xreal_0,rc3_xreal_0,rc4_xreal_0,cc1_finseq_1,cc1_xreal_0,cc2_funct_1,cc2_xreal_0,cc7_xreal_0,rc1_finseq_1,rc1_funct_1,rc1_xreal_0,rc2_funct_1,rc2_ordinal1,rc3_finseq_1,rc3_funct_1,rc4_funct_1,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,dt_k1_xboole_0,cc10_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,cc1_membered,cc2_membered,cc2_ordinal1,cc3_membered,cc4_membered,fc2_finseq_1,fc2_ordinal1,fc6_membered,rc1_finset_1,rc1_membered,rc1_ordinal1,rc3_ordinal1,existence_m1_subset_1,dt_m1_subset_1,cc15_membered,cc1_finset_1,cc1_funct_1,cc1_ordinal1,cc3_ordinal1,fc3_ordinal1,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_ordinal1,dt_c1_4__card_4,dt_c2_4__card_4,fc1_ordinal1,t1_subset,t7_boole,e2_4__card_4,t13_ordinal1]),
    [interesting(0.8),file(card_4,e3_4__card_4),[file(card_4,e3_4__card_4)]]).

fof(e4_4__card_4,plain,
    ( r2_hidden(c2_4__card_4,k1_ordinal1(c1_4__card_4))
    & ~ r2_hidden(c2_4__card_4,k1_tarski(c1_4__card_4)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_4__card_4,dt_c2_4__card_4,e2_4__card_4])],[cc3_xreal_0,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc8_xreal_0,rc2_xreal_0,rc3_xreal_0,rc4_xreal_0,cc1_finseq_1,cc1_xreal_0,cc2_funct_1,cc2_xreal_0,cc7_xreal_0,fc10_membered,fc11_membered,fc7_membered,fc8_membered,fc9_membered,rc1_finseq_1,rc1_funct_1,rc1_xreal_0,rc2_funct_1,rc2_ordinal1,rc3_finseq_1,rc3_funct_1,rc4_funct_1,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,dt_k1_xboole_0,cc10_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,cc1_membered,cc2_membered,cc2_ordinal1,cc3_membered,cc4_membered,fc2_finseq_1,fc2_ordinal1,fc6_membered,rc1_membered,rc1_ordinal1,rc3_ordinal1,existence_m1_subset_1,dt_m1_subset_1,cc15_membered,cc1_finset_1,cc1_funct_1,cc1_ordinal1,cc3_ordinal1,fc3_ordinal1,rc1_finset_1,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_ordinal1,dt_k1_tarski,dt_c1_4__card_4,dt_c2_4__card_4,fc1_finset_1,fc1_ordinal1,fc2_subset_1,t1_subset,t7_boole,e3_4__card_4,d1_tarski]),
    [interesting(0.8),file(card_4,e4_4__card_4),[file(card_4,e4_4__card_4)]]).

fof(e5_4__card_4,plain,(
    r2_hidden(c2_4__card_4,k4_xboole_0(k1_ordinal1(c1_4__card_4),k1_tarski(c1_4__card_4))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_4__card_4,dt_c2_4__card_4,e2_4__card_4])],[cc3_xreal_0,cc4_xreal_0,cc5_xreal_0,cc6_xreal_0,cc8_xreal_0,rc2_xreal_0,rc3_xreal_0,rc4_xreal_0,cc1_finseq_1,cc1_xreal_0,cc2_funct_1,cc2_xreal_0,cc7_xreal_0,fc10_membered,fc11_membered,fc7_membered,fc8_membered,fc9_membered,rc1_finseq_1,rc1_funct_1,rc1_xreal_0,rc2_funct_1,rc2_ordinal1,rc3_finseq_1,rc3_funct_1,rc4_funct_1,rc6_finseq_1,rc7_finseq_1,rc8_finseq_1,dt_k1_xboole_0,cc10_membered,cc11_membered,cc12_membered,cc13_membered,cc14_membered,cc1_membered,cc2_membered,cc2_ordinal1,cc3_membered,cc4_membered,fc2_finseq_1,fc2_ordinal1,fc37_membered,fc38_membered,fc39_membered,fc40_membered,fc41_membered,fc6_membered,rc1_membered,rc1_ordinal1,rc3_ordinal1,t3_boole,t4_boole,existence_m1_subset_1,dt_m1_subset_1,cc15_membered,cc1_finset_1,cc1_funct_1,cc1_ordinal1,cc3_ordinal1,fc12_finset_1,fc3_ordinal1,rc1_finset_1,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_ordinal1,dt_k1_tarski,dt_k4_xboole_0,dt_c1_4__card_4,dt_c2_4__card_4,fc1_finset_1,fc1_ordinal1,fc2_subset_1,t1_subset,t7_boole,e4_4__card_4,d4_xboole_0]),
    [interesting(0.8),file(card_4,e5_4__card_4),[file(card_4,e5_4__card_4)]]).

fof(i5_4__card_4,theorem,(
    $true ),
    introduced(tautology,[file(card_4,i5_4__card_4)]),
    [interesting(0.8),trivial,file(card_4,i5_4__card_4)]).

fof(i4_4__card_4,plain,(
    r2_hidden(c2_4__card_4,k4_xboole_0(k1_ordinal1(c1_4__card_4),k1_tarski(c1_4__card_4))) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_4__card_4,dt_c2_4__card_4,e2_4__card_4])],[e5_4__card_4,i5_4__card_4]),
    [interesting(0.8),file(card_4,i4_4__card_4),[file(card_4,i4_4__card_4)]]).

fof(i3_4__card_4,plain,(
    ~ ( r2_hidden(c2_4__card_4,c1_4__card_4)
      & ~ r2_hidden(c2_4__card_4,k4_xboole_0(k1_ordinal1(c1_4__card_4),k1_tarski(c1_4__card_4))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_4__card_4,dt_c2_4__card_4]),discharge_asm(discharge,[e2_4__card_4])],[e2_4__card_4,i4_4__card_4]),
    [interesting(0.8),file(card_4,i3_4__card_4),[file(card_4,i3_4__card_4)]]).

fof(i3_4_tmp__card_4,plain,(
    ~ ( r2_hidden(c2_4__card_4,c1_4__card_4)
      & ~ r2_hidden(c2_4__card_4,k4_xboole_0(k1_ordinal1(c1_4__card_4),k1_tarski(c1_4__card_4))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_4__card_4]),discharge_asm(discharge,[dt_c2_4__card_4])],[dt_c2_4__card_4,i3_4__card_4]),
    [interesting(0.8),i2_4__card_4]).

fof(i2_4__card_4,plain,(
    r1_tarski(c1_4__card_4,k4_xboole_0(k1_ordinal1(c1_4__card_4),k1_tarski(c1_4__card_4))) ),
    inference(let,[status(thm),assumptions([dt_c1_4__card_4])],[i3_4_tmp__card_4,cc1_membered,cc2_membered,cc2_ordinal1,cc3_membered,cc4_membered,fc37_membered,fc38_membered,fc39_membered,fc40_membered,fc41_membered,rc1_membered,rc1_ordinal1,rc3_ordinal1,cc15_membered,cc1_finset_1,cc1_funct_1,cc1_ordinal1,cc3_ordinal1,fc12_finset_1,fc3_ordinal1,rc1_finset_1,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_ordinal1,dt_k1_tarski,dt_k4_xboole_0,dt_c1_4__card_4,fc1_finset_1,fc1_ordinal1,fc2_subset_1,d3_tarski,dh_c2_4__card_4]),
    [interesting(0.8),file(card_4,i2_4__card_4),[file(card_4,i2_4__card_4)]]).

fof(i1_4__card_4,plain,(
    k4_xboole_0(k1_ordinal1(c1_4__card_4),k1_tarski(c1_4__card_4)) = c1_4__card_4 ),
    inference(conclusion,[status(thm),assumptions([dt_c1_4__card_4])],[cc1_membered,cc2_membered,cc2_ordinal1,cc3_membered,cc4_membered,fc37_membered,fc38_membered,fc39_membered,fc40_membered,fc41_membered,rc1_membered,rc1_ordinal1,rc3_ordinal1,cc15_membered,cc1_finset_1,cc1_funct_1,cc1_ordinal1,cc3_ordinal1,fc12_finset_1,fc3_ordinal1,rc1_finset_1,reflexivity_r1_tarski,dt_k1_ordinal1,dt_k1_tarski,dt_k4_xboole_0,dt_c1_4__card_4,fc1_finset_1,fc1_ordinal1,fc2_subset_1,d10_xboole_0,e1_4__card_4,i2_4__card_4]),
    [interesting(0.8),file(card_4,i1_4__card_4),[file(card_4,i1_4__card_4)]]).

fof(i1_4_tmp__card_4,plain,
    ( v3_ordinal1(c1_4__card_4)
   => k4_xboole_0(k1_ordinal1(c1_4__card_4),k1_tarski(c1_4__card_4)) = c1_4__card_4 ),
    inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_4__card_4])],[dt_c1_4__card_4,i1_4__card_4]),
    [interesting(1),t5_card_4]).

fof(t5_card_4,theorem,(
    ! [A] : 
      ( v3_ordinal1(A)
     => k4_xboole_0(k1_ordinal1(A),k1_tarski(A)) = A ) ),
    inference(let,[status(thm),assumptions([])],[i1_4_tmp__card_4,dh_c1_4__card_4]),
    [interesting(1),file(card_4,t5_card_4),[file(card_4,t5_card_4)]]).