% Mizar problem: t28_card_lar,card_lar,917,33 
fof(t28_card_lar,conjecture,(
    ! [A] : 
      ( ( ~ v1_finset_1(A)
        & v1_card_1(A)
        & ~ v1_card_4(A) )
     => ( v4_card_lar(A)
       => v1_card_5(A) ) ) ),
    inference(mizar_bg_added,[status(thm)],[antisymmetry_r2_hidden,antisymmetry_r2_xboole_0,cc1_arytm_3,cc1_card_1,cc1_card_5,cc1_card_lar,cc1_ordinal1,cc2_arytm_3,cc2_card_5,cc2_card_lar,cc2_ordinal1,cc3_ordinal1,commutativity_k1_card_lar,commutativity_k2_xboole_0,commutativity_k3_xboole_0,connectedness_r1_ordinal1,d10_card_lar,d10_xboole_0,d1_ordinal1,d1_xboole_0,d2_card_5,d2_card_lar,d3_card_lar,d3_xboole_0,d4_card_5,d4_card_lar,d4_xboole_0,d5_card_1,d8_card_lar,d8_xboole_0,d9_card_lar,dt_k1_card_1,dt_k1_card_5,dt_k1_card_lar,dt_k1_ordinal1,dt_k1_relat_1,dt_k1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_relat_1,dt_k2_xboole_0,dt_k3_card_lar,dt_k3_xboole_0,dt_k4_card_lar,dt_k4_xboole_0,dt_k6_ordinal2,dt_k7_ordinal2,dt_k8_ordinal2,dt_k9_ordinal2,dt_m1_subset_1,existence_m1_subset_1,fc1_card_fil,fc1_ordinal1,fc1_ordinal3,fc1_subset_1,fc2_arytm_3,fc2_card_1,fc2_ordinal1,fc2_ordinal3,fc2_subset_1,fc3_ordinal1,fc5_ordinal1,fc8_card_5,fraenkel_a_1_0_card_lar,fraenkel_a_2_0_card_lar,fraenkel_a_2_1_card_lar,fraenkel_a_3_2_card_lar,fraenkel_a_3_4_card_lar,idempotence_k1_card_lar,idempotence_k2_xboole_0,idempotence_k3_xboole_0,irreflexivity_r2_xboole_0,rc1_arytm_3,rc1_card_1,rc1_card_5,rc1_card_lar,rc1_ordinal1,rc1_ordinal2,rc1_subset_1,rc2_card_1,rc2_card_5,rc2_card_lar,rc2_ordinal1,rc2_ordinal2,rc2_subset_1,rc3_ordinal1,rc4_ordinal1,redefinition_k1_card_lar,redefinition_k3_card_lar,redefinition_r1_ordinal1,redefinition_r2_wellord2,reflexivity_r1_ordinal1,reflexivity_r1_tarski,reflexivity_r2_wellord2,reflexivity_r4_zfrefle1,s1_card_fil__e36_45__card_lar,spc0_boole,symmetry_r2_wellord2,t12_card_lar,t17_xboole_1,t19_card_lar,t1_boole,t1_subset,t20_card_lar,t21_card_lar,t21_ordinal1,t26_ordinal1,t27_card_1,t2_boole,t2_card_lar,t2_subset,t2_tarski,t34_ordinal1,t35_ordinal2,t3_boole,t3_subset,t41_card_5,t41_ordinal1,t42_ordinal1,t4_boole,t4_subset,t5_subset,t6_boole,t7_boole,t80_card_2,t8_boole]),
    [file(card_lar,t28_card_lar)]).

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

fof(antisymmetry_r2_xboole_0,axiom,(
    ! [A,B] : 
      ( r2_xboole_0(A,B)
     => ~ r2_xboole_0(B,A) ) ),
    file(xboole_0,r2_xboole_0),
    []).

fof(cc1_arytm_3,axiom,(
    ! [A] : 
      ( v3_ordinal1(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_ordinal1(B)
            & v2_ordinal1(B)
            & v3_ordinal1(B) ) ) ) ),
    file(arytm_3,cc1_arytm_3),
    []).

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

fof(cc1_card_5,axiom,(
    ! [A] : 
      ( ~ v1_finset_1(A)
     => ~ v1_xboole_0(A) ) ),
    file(card_5,cc1_card_5),
    []).

fof(cc1_card_lar,axiom,(
    ! [A] : 
      ( ( v3_ordinal1(A)
        & ~ v1_finset_1(A)
        & v1_card_1(A) )
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal1(A) ) ) ),
    file(card_lar,cc1_card_lar),
    []).

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

fof(cc2_arytm_3,axiom,(
    ! [A] : 
      ( ( v1_xboole_0(A)
        & v3_ordinal1(A) )
     => ( v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & v4_ordinal2(A) ) ) ),
    file(arytm_3,cc2_arytm_3),
    []).

fof(cc2_card_5,axiom,(
    ! [A] : 
      ( ( ~ v1_finset_1(A)
        & v1_card_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_ordinal1(B)
            & v2_ordinal1(B)
            & v3_ordinal1(B) ) ) ) ),
    file(card_5,cc2_card_5),
    []).

fof(cc2_card_lar,axiom,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v3_ordinal1(A)
        & v4_ordinal1(A) )
     => ( ~ v1_xboole_0(A)
        & v1_ordinal1(A)
        & v2_ordinal1(A)
        & v3_ordinal1(A)
        & ~ v1_finset_1(A) ) ) ),
    file(card_lar,cc2_card_lar),
    []).

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

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

fof(commutativity_k1_card_lar,axiom,(
    ! [A,B,C] : 
      ( m1_subset_1(C,k1_zfmisc_1(A))
     => k1_card_lar(A,B,C) = k1_card_lar(A,C,B) ) ),
    file(card_lar,k1_card_lar),
    []).

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

fof(commutativity_k3_xboole_0,axiom,(
    ! [A,B] : k3_xboole_0(A,B) = k3_xboole_0(B,A) ),
    file(xboole_0,k3_xboole_0),
    []).

fof(connectedness_r1_ordinal1,axiom,(
    ! [A,B] : 
      ( ( v3_ordinal1(A)
        & v3_ordinal1(B) )
     => ( r1_ordinal1(A,B)
        | r1_ordinal1(B,A) ) ) ),
    file(ordinal1,r1_ordinal1),
    []).

fof(d10_card_lar,axiom,(
    ! [A] : 
      ( ( ~ v1_finset_1(A)
        & v1_card_1(A)
        & ~ v1_card_4(A) )
     => ( v4_card_lar(A)
      <=> r4_card_lar(A,a_1_0_card_lar(A)) ) ) ),
    file(card_lar,d10_card_lar),
    []).

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

fof(d1_ordinal1,axiom,(
    ! [A] : k1_ordinal1(A) = k2_xboole_0(A,k1_tarski(A)) ),
    file(ordinal1,d1_ordinal1),
    []).

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

fof(d2_card_5,axiom,(
    ! [A] : 
      ( v1_card_1(A)
     => ! [B] : 
          ( v1_card_1(B)
         => ( B = k1_card_5(A)
          <=> ( r4_zfrefle1(A,B)
              & ! [C] : 
                  ( v1_card_1(C)
                 => ( r4_zfrefle1(A,C)
                   => r1_tarski(B,C) ) ) ) ) ) ) ),
    file(card_5,d2_card_5),
    []).

fof(d2_card_lar,axiom,(
    ! [A] : 
      ( ( v3_ordinal1(A)
        & v4_ordinal1(A)
        & ~ v1_finset_1(A) )
     => ! [B] : 
          ( r2_card_lar(A,B)
        <=> ( r1_tarski(B,A)
            & ! [C] : 
                ( ( v3_ordinal1(C)
                  & v4_ordinal1(C)
                  & ~ v1_finset_1(C) )
               => ( ( r2_hidden(C,A)
                    & k7_ordinal2(k3_xboole_0(B,C)) = C )
                 => r2_hidden(C,B) ) ) ) ) ) ),
    file(card_lar,d2_card_lar),
    []).

fof(d3_card_lar,axiom,(
    ! [A] : 
      ( ( v3_ordinal1(A)
        & v4_ordinal1(A)
        & ~ v1_finset_1(A) )
     => ! [B] : 
          ( r3_card_lar(A,B)
        <=> ( r2_card_lar(A,B)
            & r1_card_lar(A,B) ) ) ) ),
    file(card_lar,d3_card_lar),
    []).

fof(d3_xboole_0,axiom,(
    ! [A,B,C] : 
      ( C = k3_xboole_0(A,B)
    <=> ! [D] : 
          ( r2_hidden(D,C)
        <=> ( r2_hidden(D,A)
            & r2_hidden(D,B) ) ) ) ),
    file(xboole_0,d3_xboole_0),
    []).

fof(d4_card_5,axiom,(
    ! [A] : 
      ( ( ~ v1_finset_1(A)
        & v1_card_1(A) )
     => ( v1_card_5(A)
      <=> k1_card_5(A) = A ) ) ),
    file(card_5,d4_card_5),
    []).

fof(d4_card_lar,axiom,(
    ! [A] : 
      ( ( v3_ordinal1(A)
        & v4_ordinal1(A)
        & ~ v1_finset_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_card_lar(B,A)
          <=> k7_ordinal2(B) = A ) ) ) ),
    file(card_lar,d4_card_lar),
    []).

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

fof(d5_card_1,axiom,(
    ! [A,B] : 
      ( v1_card_1(B)
     => ( B = k1_card_1(A)
      <=> r2_wellord2(A,B) ) ) ),
    file(card_1,d5_card_1),
    []).

fof(d8_card_lar,axiom,(
    ! [A] : 
      ( ( v3_ordinal1(A)
        & v4_ordinal1(A)
        & ~ v1_finset_1(A) )
     => ! [B] : 
          ( r4_card_lar(A,B)
        <=> ( r1_tarski(B,A)
            & ! [C] : 
                ( m1_subset_1(C,k1_zfmisc_1(A))
               => ~ ( v2_card_lar(C,A)
                    & v1_card_lar(C,A)
                    & v1_xboole_0(k1_card_lar(A,B,C)) ) ) ) ) ) ),
    file(card_lar,d8_card_lar),
    []).

fof(d8_xboole_0,axiom,(
    ! [A,B] : 
      ( r2_xboole_0(A,B)
    <=> ( r1_tarski(A,B)
        & A != B ) ) ),
    file(xboole_0,d8_xboole_0),
    []).

fof(d9_card_lar,axiom,(
    ! [A] : 
      ( ( v3_ordinal1(A)
        & v4_ordinal1(A)
        & ~ v1_finset_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => k4_card_lar(A,B) = a_2_0_card_lar(A,B) ) ) ),
    file(card_lar,d9_card_lar),
    []).

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

fof(dt_k1_card_5,axiom,(
    ! [A] : 
      ( v1_card_1(A)
     => v1_card_1(k1_card_5(A)) ) ),
    file(card_5,k1_card_5),
    []).

fof(dt_k1_card_lar,axiom,(
    ! [A,B,C] : 
      ( m1_subset_1(C,k1_zfmisc_1(A))
     => m1_subset_1(k1_card_lar(A,B,C),k1_zfmisc_1(A)) ) ),
    file(card_lar,k1_card_lar),
    []).

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

fof(dt_k1_relat_1,axiom,(
    $true ),
    file(relat_1,k1_relat_1),
    []).

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

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

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

fof(dt_k2_relat_1,axiom,(
    $true ),
    file(relat_1,k2_relat_1),
    []).

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

fof(dt_k3_card_lar,axiom,(
    ! [A,B,C] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
     => m1_subset_1(k3_card_lar(A,B,C),k1_zfmisc_1(A)) ) ),
    file(card_lar,k3_card_lar),
    []).

fof(dt_k3_xboole_0,axiom,(
    $true ),
    file(xboole_0,k3_xboole_0),
    []).

fof(dt_k4_card_lar,axiom,(
    ! [A,B] : 
      ( ( v3_ordinal1(A)
        & v4_ordinal1(A)
        & ~ v1_finset_1(A)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => m1_subset_1(k4_card_lar(A,B),k1_zfmisc_1(A)) ) ),
    file(card_lar,k4_card_lar),
    []).

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

fof(dt_k6_ordinal2,axiom,(
    ! [A] : v3_ordinal1(k6_ordinal2(A)) ),
    file(ordinal2,k6_ordinal2),
    []).

fof(dt_k7_ordinal2,axiom,(
    ! [A] : v3_ordinal1(k7_ordinal2(A)) ),
    file(ordinal2,k7_ordinal2),
    []).

fof(dt_k8_ordinal2,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v5_ordinal1(A) )
     => v3_ordinal1(k8_ordinal2(A)) ) ),
    file(ordinal2,k8_ordinal2),
    []).

fof(dt_k9_ordinal2,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v5_ordinal1(A) )
     => v3_ordinal1(k9_ordinal2(A)) ) ),
    file(ordinal2,k9_ordinal2),
    []).

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

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

fof(fc1_card_fil,axiom,(
    ! [A] : 
      ( ~ v1_finset_1(A)
     => ( v1_ordinal1(k1_card_1(A))
        & v2_ordinal1(k1_card_1(A))
        & v3_ordinal1(k1_card_1(A))
        & ~ v1_xboole_0(k1_card_1(A))
        & ~ v1_finset_1(k1_card_1(A))
        & v1_card_1(k1_card_1(A)) ) ) ),
    file(card_fil,fc1_card_fil),
    []).

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

fof(fc1_ordinal3,axiom,(
    ! [A,B] : 
      ( ( v3_ordinal1(A)
        & v3_ordinal1(B) )
     => ( v1_ordinal1(k2_xboole_0(A,B))
        & v2_ordinal1(k2_xboole_0(A,B))
        & v3_ordinal1(k2_xboole_0(A,B)) ) ) ),
    file(ordinal3,fc1_ordinal3),
    []).

fof(fc1_subset_1,axiom,(
    ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ),
    file(subset_1,fc1_subset_1),
    []).

fof(fc2_arytm_3,axiom,(
    ! [A] : 
      ( ( v3_ordinal1(A)
        & v4_ordinal2(A) )
     => ( ~ v1_xboole_0(k1_ordinal1(A))
        & v1_ordinal1(k1_ordinal1(A))
        & v2_ordinal1(k1_ordinal1(A))
        & v3_ordinal1(k1_ordinal1(A))
        & v4_ordinal2(k1_ordinal1(A)) ) ) ),
    file(arytm_3,fc2_arytm_3),
    []).

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

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

fof(fc2_ordinal3,axiom,(
    ! [A,B] : 
      ( ( v3_ordinal1(A)
        & v3_ordinal1(B) )
     => ( v1_ordinal1(k3_xboole_0(A,B))
        & v2_ordinal1(k3_xboole_0(A,B))
        & v3_ordinal1(k3_xboole_0(A,B)) ) ) ),
    file(ordinal3,fc2_ordinal3),
    []).

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

fof(fc3_ordinal1,axiom,(
    ! [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),
    []).

fof(fc5_ordinal1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v5_ordinal1(A) )
     => ( v1_ordinal1(k1_relat_1(A))
        & v2_ordinal1(k1_relat_1(A))
        & v3_ordinal1(k1_relat_1(A)) ) ) ),
    file(ordinal1,fc5_ordinal1),
    []).

fof(fc8_card_5,axiom,(
    ! [A] : 
      ( ( ~ v1_finset_1(A)
        & v1_card_1(A) )
     => ( ~ v1_xboole_0(k1_card_5(A))
        & v1_ordinal1(k1_card_5(A))
        & v2_ordinal1(k1_card_5(A))
        & v3_ordinal1(k1_card_5(A))
        & ~ v1_finset_1(k1_card_5(A))
        & v1_card_1(k1_card_5(A)) ) ) ),
    file(card_5,fc8_card_5),
    []).

fof(fraenkel_a_1_0_card_lar,axiom,(
    ! [A,B] : 
      ( ( ~ v1_finset_1(B)
        & v1_card_1(B)
        & ~ v1_card_4(B) )
     => ( r2_hidden(A,a_1_0_card_lar(B))
      <=> ? [C] : 
            ( ~ v1_finset_1(C)
            & v1_card_1(C)
            & m1_subset_1(C,B)
            & A = C
            & v1_card_5(C) ) ) ) ),
    file(card_lar,a_1_0_card_lar),
    []).

fof(fraenkel_a_2_0_card_lar,axiom,(
    ! [A,B,C] : 
      ( ( v3_ordinal1(B)
        & v4_ordinal1(B)
        & ~ v1_finset_1(B)
        & m1_subset_1(C,k1_zfmisc_1(B)) )
     => ( r2_hidden(A,a_2_0_card_lar(B,C))
      <=> ? [D] : 
            ( m1_subset_1(D,B)
            & A = D
            & ~ v1_finset_1(D)
            & v4_ordinal1(D)
            & k7_ordinal2(k3_xboole_0(C,D)) = D ) ) ) ),
    file(card_lar,a_2_0_card_lar),
    []).

fof(fraenkel_a_2_1_card_lar,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_finset_1(B)
        & v1_card_1(B)
        & ~ v1_card_4(B)
        & m1_subset_1(C,k1_zfmisc_1(B)) )
     => ( r2_hidden(A,a_2_1_card_lar(B,C))
      <=> ? [D] : 
            ( m1_subset_1(D,B)
            & A = D
            & ~ v1_finset_1(D)
            & v4_ordinal1(D)
            & k7_ordinal2(k3_xboole_0(C,D)) = D ) ) ) ),
    file(card_lar,a_2_1_card_lar),
    []).

fof(fraenkel_a_3_2_card_lar,axiom,(
    ! [A,B,C,D] : 
      ( ( v3_ordinal1(B)
        & v4_ordinal1(B)
        & ~ v1_finset_1(B)
        & m1_subset_1(C,k1_zfmisc_1(B))
        & v3_ordinal1(D) )
     => ( r2_hidden(A,a_3_2_card_lar(B,C,D))
      <=> ? [E] : 
            ( m1_subset_1(E,B)
            & A = k1_ordinal1(E)
            & r2_hidden(E,C)
            & r2_hidden(D,k1_ordinal1(E)) ) ) ) ),
    file(card_lar,a_3_2_card_lar),
    []).

fof(fraenkel_a_3_4_card_lar,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_finset_1(B)
        & v1_card_1(B)
        & ~ v1_card_4(B)
        & m1_subset_1(C,k1_zfmisc_1(B))
        & v3_ordinal1(D) )
     => ( r2_hidden(A,a_3_4_card_lar(B,C,D))
      <=> ? [E] : 
            ( m1_subset_1(E,B)
            & A = k1_ordinal1(E)
            & r2_hidden(E,C)
            & r2_hidden(D,k1_ordinal1(E)) ) ) ) ),
    file(card_lar,a_3_4_card_lar),
    []).

fof(idempotence_k1_card_lar,axiom,(
    ! [A,B,C] : 
      ( m1_subset_1(C,k1_zfmisc_1(A))
     => k1_card_lar(A,B,B) = B ) ),
    file(card_lar,k1_card_lar),
    []).

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

fof(idempotence_k3_xboole_0,axiom,(
    ! [A,B] : k3_xboole_0(A,A) = A ),
    file(xboole_0,k3_xboole_0),
    []).

fof(irreflexivity_r2_xboole_0,axiom,(
    ! [A,B] : ~ r2_xboole_0(A,A) ),
    file(xboole_0,r2_xboole_0),
    []).

fof(rc1_arytm_3,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A)
      & v4_ordinal2(A) ) ),
    file(arytm_3,rc1_arytm_3),
    []).

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

fof(rc1_card_5,axiom,(
    ? [A] : ~ v1_finset_1(A) ),
    file(card_5,rc1_card_5),
    []).

fof(rc1_card_lar,axiom,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A)
      & v4_ordinal1(A)
      & ~ v1_finset_1(A)
      & v1_card_1(A)
      & v1_card_5(A)
      & ~ v1_card_4(A) ) ),
    file(card_lar,rc1_card_lar),
    []).

fof(rc1_ordinal1,axiom,(
    ? [A] : 
      ( v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A) ) ),
    file(ordinal1,rc1_ordinal1),
    []).

fof(rc1_ordinal2,axiom,(
    ? [A] : 
      ( v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A)
      & v4_ordinal1(A) ) ),
    file(ordinal2,rc1_ordinal2),
    []).

fof(rc1_subset_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B) ) ) ),
    file(subset_1,rc1_subset_1),
    []).

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

fof(rc2_card_5,axiom,(
    ? [A] : 
      ( v1_ordinal1(A)
      & v2_ordinal1(A)
      & v3_ordinal1(A)
      & ~ v1_finset_1(A)
      & v1_card_1(A) ) ),
    file(card_5,rc2_card_5),
    []).

fof(rc2_card_lar,axiom,(
    ! [A] : 
      ( ( ~ v1_finset_1(A)
        & v1_card_1(A)
        & ~ v1_card_4(A) )
     => ? [B] : 
          ( m1_subset_1(B,A)
          & ~ v1_xboole_0(B)
          & v1_ordinal1(B)
          & v2_ordinal1(B)
          & v3_ordinal1(B)
          & v4_ordinal1(B)
          & ~ v1_finset_1(B)
          & v1_card_1(B) ) ) ),
    file(card_lar,rc2_card_lar),
    []).

fof(rc2_ordinal1,axiom,(
    ? [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),
    []).

fof(rc2_ordinal2,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v5_ordinal1(A)
      & v1_ordinal2(A) ) ),
    file(ordinal2,rc2_ordinal2),
    []).

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

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

fof(rc4_ordinal1,axiom,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v5_ordinal1(A) ) ),
    file(ordinal1,rc4_ordinal1),
    []).

fof(redefinition_k1_card_lar,axiom,(
    ! [A,B,C] : 
      ( m1_subset_1(C,k1_zfmisc_1(A))
     => k1_card_lar(A,B,C) = k3_xboole_0(B,C) ) ),
    file(card_lar,k1_card_lar),
    []).

fof(redefinition_k3_card_lar,axiom,(
    ! [A,B,C] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
     => k3_card_lar(A,B,C) = k4_xboole_0(B,C) ) ),
    file(card_lar,k3_card_lar),
    []).

fof(redefinition_r1_ordinal1,axiom,(
    ! [A,B] : 
      ( ( v3_ordinal1(A)
        & v3_ordinal1(B) )
     => ( r1_ordinal1(A,B)
      <=> r1_tarski(A,B) ) ) ),
    file(ordinal1,r1_ordinal1),
    []).

fof(redefinition_r2_wellord2,axiom,(
    ! [A,B] : 
      ( r2_wellord2(A,B)
    <=> r2_tarski(A,B) ) ),
    file(wellord2,r2_wellord2),
    []).

fof(reflexivity_r1_ordinal1,axiom,(
    ! [A,B] : 
      ( ( v3_ordinal1(A)
        & v3_ordinal1(B) )
     => r1_ordinal1(A,A) ) ),
    file(ordinal1,r1_ordinal1),
    []).

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

fof(reflexivity_r2_wellord2,axiom,(
    ! [A,B] : r2_wellord2(A,A) ),
    file(wellord2,r2_wellord2),
    []).

fof(reflexivity_r4_zfrefle1,axiom,(
    ! [A,B] : 
      ( ( v3_ordinal1(A)
        & v3_ordinal1(B) )
     => r4_zfrefle1(A,A) ) ),
    file(zfrefle1,r4_zfrefle1),
    []).

fof(s1_card_fil__e36_45__card_lar,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_finset_1(A)
        & v1_card_1(A)
        & ~ v1_card_4(A)
        & m1_subset_1(B,k1_zfmisc_1(A))
        & ~ v1_finset_1(C)
        & v1_card_1(C)
        & m1_subset_1(C,A) )
     => ( r2_hidden(C,a_2_1_card_lar(A,B))
       => ( ~ v1_finset_1(C)
          & v4_ordinal1(C)
          & k7_ordinal2(k3_xboole_0(B,C)) = C ) ) ) ),
    file(card_lar,s1_card_fil__e36_45__card_lar),
    []).

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

fof(symmetry_r2_wellord2,axiom,(
    ! [A,B] : 
      ( r2_wellord2(A,B)
     => r2_wellord2(B,A) ) ),
    file(wellord2,r2_wellord2),
    []).

fof(t12_card_lar,axiom,(
    ! [A] : 
      ( ( v3_ordinal1(A)
        & v4_ordinal1(A)
        & ~ v1_finset_1(A) )
     => ! [B] : 
          ( v3_ordinal1(B)
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(A))
             => ( ( r2_hidden(B,A)
                  & v2_card_lar(C,A)
                  & v1_card_lar(C,A) )
               => ( v2_card_lar(k3_card_lar(A,C,B),A)
                  & v1_card_lar(k3_card_lar(A,C,B),A) ) ) ) ) ) ),
    file(card_lar,t12_card_lar),
    []).

fof(t17_xboole_1,axiom,(
    ! [A,B] : r1_tarski(k3_xboole_0(A,B),A) ),
    file(xboole_1,t17_xboole_1),
    []).

fof(t19_card_lar,axiom,(
    ! [A] : 
      ( ( v3_ordinal1(A)
        & v4_ordinal1(A)
        & ~ v1_finset_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => v2_card_lar(k4_card_lar(A,B),A) ) ) ),
    file(card_lar,t19_card_lar),
    []).

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

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

fof(t20_card_lar,axiom,(
    ! [A] : 
      ( ( v3_ordinal1(A)
        & v4_ordinal1(A)
        & ~ v1_finset_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ~ ( v1_card_lar(B,A)
              & ~ v1_card_lar(k4_card_lar(A,B),A)
              & ! [C] : 
                  ( v3_ordinal1(C)
                 => ~ ( r2_hidden(C,A)
                      & r3_card_lar(A,a_3_2_card_lar(A,B,C)) ) ) ) ) ) ),
    file(card_lar,t20_card_lar),
    []).

fof(t21_card_lar,axiom,(
    ! [A] : 
      ( ( ~ v1_finset_1(A)
        & v1_card_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( v1_card_lar(B,A)
           => r1_tarski(k1_card_5(A),k1_card_1(B)) ) ) ) ),
    file(card_lar,t21_card_lar),
    []).

fof(t21_ordinal1,axiom,(
    ! [A] : 
      ( v1_ordinal1(A)
     => ! [B] : 
          ( v3_ordinal1(B)
         => ( r2_xboole_0(A,B)
           => r2_hidden(A,B) ) ) ) ),
    file(ordinal1,t21_ordinal1),
    []).

fof(t26_ordinal1,axiom,(
    ! [A] : 
      ( v3_ordinal1(A)
     => ! [B] : 
          ( v3_ordinal1(B)
         => ( r1_ordinal1(A,B)
            | r2_hidden(B,A) ) ) ) ),
    file(ordinal1,t26_ordinal1),
    []).

fof(t27_card_1,axiom,(
    ! [A,B] : 
      ( r1_tarski(A,B)
     => r1_tarski(k1_card_1(A),k1_card_1(B)) ) ),
    file(card_1,t27_card_1),
    []).

fof(t2_boole,axiom,(
    ! [A] : k3_xboole_0(A,k1_xboole_0) = k1_xboole_0 ),
    file(boole,t2_boole),
    []).

fof(t2_card_lar,axiom,(
    ! [A] : 
      ( ( v3_ordinal1(A)
        & v4_ordinal1(A)
        & ~ v1_finset_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ( r3_card_lar(A,B)
          <=> ( v2_card_lar(B,A)
              & v1_card_lar(B,A) ) ) ) ) ),
    file(card_lar,t2_card_lar),
    []).

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

fof(t2_tarski,axiom,(
    ! [A,B] : 
      ( ! [C] : 
          ( r2_hidden(C,A)
        <=> r2_hidden(C,B) )
     => A = B ) ),
    file(tarski,t2_tarski),
    []).

fof(t34_ordinal1,axiom,(
    ! [A] : 
      ( v3_ordinal1(A)
     => ! [B] : 
          ( v3_ordinal1(B)
         => ( r2_hidden(A,k1_ordinal1(B))
          <=> r1_ordinal1(A,B) ) ) ) ),
    file(ordinal1,t34_ordinal1),
    []).

fof(t35_ordinal2,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v5_ordinal1(A) )
     => ( k8_ordinal2(A) = k7_ordinal2(k2_relat_1(A))
        & k9_ordinal2(A) = k6_ordinal2(k2_relat_1(A)) ) ) ),
    file(ordinal2,t35_ordinal2),
    []).

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

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

fof(t41_card_5,axiom,(
    ! [A] : 
      ( ( ~ v1_finset_1(A)
        & v1_card_1(A) )
     => ~ ( r2_hidden(k1_card_5(A),A)
          & ! [B] : 
              ( ( v1_relat_1(B)
                & v1_funct_1(B)
                & v5_ordinal1(B)
                & v1_ordinal2(B) )
             => ~ ( k1_relat_1(B) = k1_card_5(A)
                  & r1_tarski(k2_relat_1(B),A)
                  & v2_ordinal2(B)
                  & A = k8_ordinal2(B)
                  & v1_relat_1(B)
                  & v1_funct_1(B)
                  & v1_card_3(B)
                  & ~ r2_hidden(0,k2_relat_1(B)) ) ) ) ) ),
    file(card_5,t41_card_5),
    []).

fof(t41_ordinal1,axiom,(
    ! [A] : 
      ( v3_ordinal1(A)
     => ( v4_ordinal1(A)
      <=> ! [B] : 
            ( v3_ordinal1(B)
           => ( r2_hidden(B,A)
             => r2_hidden(k1_ordinal1(B),A) ) ) ) ) ),
    file(ordinal1,t41_ordinal1),
    []).

fof(t42_ordinal1,axiom,(
    ! [A] : 
      ( v3_ordinal1(A)
     => ( ~ ( ~ v4_ordinal1(A)
            & ! [B] : 
                ( v3_ordinal1(B)
               => A != k1_ordinal1(B) ) )
        & ~ ( ? [B] : 
                ( v3_ordinal1(B)
                & A = k1_ordinal1(B) )
            & v4_ordinal1(A) ) ) ) ),
    file(ordinal1,t42_ordinal1),
    []).

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

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

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

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

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

fof(t80_card_2,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => r1_ordinal1(k1_card_1(k2_relat_1(A)),k1_card_1(k1_relat_1(A))) ) ),
    file(card_2,t80_card_2),
    []).

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