% Mizar problem: t63_wellord1,wellord1,1295,43 
fof(t63_wellord1,conjecture,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : 
          ( v1_relat_1(B)
         => ~ ( v2_wellord1(A)
              & v2_wellord1(B)
              & ~ r4_wellord1(A,B)
              & ! [C] : ~ ( r2_hidden(C,k3_relat_1(A))
                  & r4_wellord1(k2_wellord1(A,k1_wellord1(A,C)),B) )
              & ! [C] : ~ ( r2_hidden(C,k3_relat_1(B))
                  & r4_wellord1(A,k2_wellord1(B,k1_wellord1(B,C))) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[antisymmetry_r2_hidden,cc1_funct_1,cc2_funct_1,commutativity_k2_tarski,commutativity_k2_xboole_0,commutativity_k3_xboole_0,d10_xboole_0,d1_wellord1,d3_tarski,d4_relat_1,d4_wellord1,d5_funct_1,d5_tarski,d6_relat_1,d6_wellord1,d7_wellord1,d8_funct_1,d8_wellord1,d9_wellord1,dt_k1_funct_1,dt_k1_relat_1,dt_k1_tarski,dt_k1_wellord1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_relat_1,dt_k2_tarski,dt_k2_wellord1,dt_k2_xboole_0,dt_k2_zfmisc_1,dt_k3_relat_1,dt_k3_wellord1,dt_k3_xboole_0,dt_k4_tarski,dt_m1_subset_1,existence_m1_subset_1,fc1_xboole_0,fc1_zfmisc_1,fc2_xboole_0,fc3_xboole_0,idempotence_k2_xboole_0,idempotence_k3_xboole_0,l1_wellord1,l3_wellord1,l4_wellord1,rc1_funct_1,rc1_xboole_0,rc2_funct_1,rc2_xboole_0,rc3_funct_1,reflexivity_r1_tarski,s1_funct_1__e7_62__wellord1,s1_xboole_0__e2_62__wellord1,t106_zfmisc_1,t16_wellord1,t19_wellord1,t1_boole,t1_subset,t29_wellord1,t2_boole,t2_subset,t30_relat_1,t30_wellord1,t32_wellord1,t35_wellord1,t36_wellord1,t37_wellord1,t38_wellord1,t39_wellord1,t3_subset,t40_wellord1,t4_subset,t50_wellord1,t52_wellord1,t58_wellord1,t5_subset,t61_wellord1,t62_wellord1,t6_boole,t7_boole,t8_boole,t8_funct_1]),
    [file(wellord1,t63_wellord1)]).

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

fof(cc1_funct_1,axiom,(
    ! [A] : 
      ( v1_xboole_0(A)
     => v1_funct_1(A) ) ),
    file(funct_1,cc1_funct_1),
    []).

fof(cc2_funct_1,axiom,(
    ! [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),
    []).

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

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

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

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_wellord1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B,C] : 
          ( C = k1_wellord1(A,B)
        <=> ! [D] : 
              ( r2_hidden(D,C)
            <=> ( D != B
                & r2_hidden(k4_tarski(D,B),A) ) ) ) ) ),
    file(wellord1,d1_wellord1),
    []).

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

fof(d4_relat_1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : 
          ( B = k1_relat_1(A)
        <=> ! [C] : 
              ( r2_hidden(C,B)
            <=> ? [D] : r2_hidden(k4_tarski(C,D),A) ) ) ) ),
    file(relat_1,d4_relat_1),
    []).

fof(d4_wellord1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => ( v2_wellord1(A)
      <=> ( v1_relat_2(A)
          & v8_relat_2(A)
          & v4_relat_2(A)
          & v6_relat_2(A)
          & v1_wellord1(A) ) ) ) ),
    file(wellord1,d4_wellord1),
    []).

fof(d5_funct_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B] : 
          ( B = k2_relat_1(A)
        <=> ! [C] : 
              ( r2_hidden(C,B)
            <=> ? [D] : 
                  ( r2_hidden(D,k1_relat_1(A))
                  & C = k1_funct_1(A,D) ) ) ) ) ),
    file(funct_1,d5_funct_1),
    []).

fof(d5_tarski,axiom,(
    ! [A,B] : k4_tarski(A,B) = k2_tarski(k2_tarski(A,B),k1_tarski(A)) ),
    file(tarski,d5_tarski),
    []).

fof(d6_relat_1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => k3_relat_1(A) = k2_xboole_0(k1_relat_1(A),k2_relat_1(A)) ) ),
    file(relat_1,d6_relat_1),
    []).

fof(d6_wellord1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : k2_wellord1(A,B) = k3_xboole_0(A,k2_zfmisc_1(B,B)) ) ),
    file(wellord1,d6_wellord1),
    []).

fof(d7_wellord1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : 
          ( v1_relat_1(B)
         => ! [C] : 
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ( r3_wellord1(A,B,C)
              <=> ( k1_relat_1(C) = k3_relat_1(A)
                  & k2_relat_1(C) = k3_relat_1(B)
                  & v2_funct_1(C)
                  & ! [D,E] : 
                      ( r2_hidden(k4_tarski(D,E),A)
                    <=> ( r2_hidden(D,k3_relat_1(A))
                        & r2_hidden(E,k3_relat_1(A))
                        & r2_hidden(k4_tarski(k1_funct_1(C,D),k1_funct_1(C,E)),B) ) ) ) ) ) ) ) ),
    file(wellord1,d7_wellord1),
    []).

fof(d8_funct_1,axiom,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ( v2_funct_1(A)
      <=> ! [B,C] : 
            ( ( r2_hidden(B,k1_relat_1(A))
              & r2_hidden(C,k1_relat_1(A))
              & k1_funct_1(A,B) = k1_funct_1(A,C) )
           => B = C ) ) ) ),
    file(funct_1,d8_funct_1),
    []).

fof(d8_wellord1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : 
          ( v1_relat_1(B)
         => ( r4_wellord1(A,B)
          <=> ? [C] : 
                ( v1_relat_1(C)
                & v1_funct_1(C)
                & r3_wellord1(A,B,C) ) ) ) ) ),
    file(wellord1,d8_wellord1),
    []).

fof(d9_wellord1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : 
          ( v1_relat_1(B)
         => ( ( v2_wellord1(A)
              & r4_wellord1(A,B) )
           => ! [C] : 
                ( ( v1_relat_1(C)
                  & v1_funct_1(C) )
               => ( C = k3_wellord1(A,B)
                <=> r3_wellord1(A,B,C) ) ) ) ) ) ),
    file(wellord1,d9_wellord1),
    []).

fof(dt_k1_funct_1,axiom,(
    $true ),
    file(funct_1,k1_funct_1),
    []).

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_wellord1,axiom,(
    $true ),
    file(wellord1,k1_wellord1),
    []).

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

fof(dt_k2_wellord1,axiom,(
    ! [A,B] : 
      ( v1_relat_1(A)
     => v1_relat_1(k2_wellord1(A,B)) ) ),
    file(wellord1,k2_wellord1),
    []).

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

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

fof(dt_k3_relat_1,axiom,(
    $true ),
    file(relat_1,k3_relat_1),
    []).

fof(dt_k3_wellord1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_relat_1(B) )
     => ( v1_relat_1(k3_wellord1(A,B))
        & v1_funct_1(k3_wellord1(A,B)) ) ) ),
    file(wellord1,k3_wellord1),
    []).

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

fof(dt_k4_tarski,axiom,(
    $true ),
    file(tarski,k4_tarski),
    []).

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_xboole_0,axiom,(
    v1_xboole_0(k1_xboole_0) ),
    file(xboole_0,fc1_xboole_0),
    []).

fof(fc1_zfmisc_1,axiom,(
    ! [A,B] : ~ v1_xboole_0(k4_tarski(A,B)) ),
    file(zfmisc_1,fc1_zfmisc_1),
    []).

fof(fc2_xboole_0,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(A)
     => ~ v1_xboole_0(k2_xboole_0(A,B)) ) ),
    file(xboole_0,fc2_xboole_0),
    []).

fof(fc3_xboole_0,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(A)
     => ~ v1_xboole_0(k2_xboole_0(B,A)) ) ),
    file(xboole_0,fc3_xboole_0),
    []).

fof(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(l1_wellord1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => ( v1_relat_2(A)
      <=> ! [B] : 
            ( r2_hidden(B,k3_relat_1(A))
           => r2_hidden(k4_tarski(B,B),A) ) ) ) ),
    file(wellord1,l1_wellord1),
    []).

fof(l3_wellord1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => ( v4_relat_2(A)
      <=> ! [B,C] : 
            ( ( r2_hidden(k4_tarski(B,C),A)
              & r2_hidden(k4_tarski(C,B),A) )
           => B = C ) ) ) ),
    file(wellord1,l3_wellord1),
    []).

fof(l4_wellord1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => ( v6_relat_2(A)
      <=> ! [B,C] : ~ ( r2_hidden(B,k3_relat_1(A))
            & r2_hidden(C,k3_relat_1(A))
            & B != C
            & ~ r2_hidden(k4_tarski(B,C),A)
            & ~ r2_hidden(k4_tarski(C,B),A) ) ) ) ),
    file(wellord1,l4_wellord1),
    []).

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

fof(rc1_xboole_0,axiom,(
    ? [A] : v1_xboole_0(A) ),
    file(xboole_0,rc1_xboole_0),
    []).

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

fof(rc2_xboole_0,axiom,(
    ? [A] : ~ v1_xboole_0(A) ),
    file(xboole_0,rc2_xboole_0),
    []).

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

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

fof(s1_funct_1__e7_62__wellord1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_relat_1(B) )
     => ( ! [C,D,E] : 
            ( ( r2_hidden(D,k3_relat_1(B))
              & r4_wellord1(k2_wellord1(A,k1_wellord1(A,C)),k2_wellord1(B,k1_wellord1(B,D)))
              & r2_hidden(E,k3_relat_1(B))
              & r4_wellord1(k2_wellord1(A,k1_wellord1(A,C)),k2_wellord1(B,k1_wellord1(B,E))) )
           => D = E )
       => ? [C] : 
            ( v1_relat_1(C)
            & v1_funct_1(C)
            & ! [D,E] : 
                ( r2_hidden(k4_tarski(D,E),C)
              <=> ( r2_hidden(D,k3_relat_1(A))
                  & r2_hidden(E,k3_relat_1(B))
                  & r4_wellord1(k2_wellord1(A,k1_wellord1(A,D)),k2_wellord1(B,k1_wellord1(B,E))) ) ) ) ) ) ),
    file(wellord1,s1_funct_1__e7_62__wellord1),
    []).

fof(s1_xboole_0__e2_62__wellord1,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_relat_1(B) )
     => ? [C] : 
        ! [D] : 
          ( r2_hidden(D,C)
        <=> ( r2_hidden(D,k3_relat_1(A))
            & ? [E] : 
                ( r2_hidden(E,k3_relat_1(B))
                & r4_wellord1(k2_wellord1(A,k1_wellord1(A,D)),k2_wellord1(B,k1_wellord1(B,E))) ) ) ) ) ),
    file(wellord1,s1_xboole_0__e2_62__wellord1),
    []).

fof(t106_zfmisc_1,axiom,(
    ! [A,B,C,D] : 
      ( r2_hidden(k4_tarski(A,B),k2_zfmisc_1(C,D))
    <=> ( r2_hidden(A,C)
        & r2_hidden(B,D) ) ) ),
    file(zfmisc_1,t106_zfmisc_1),
    []).

fof(t16_wellord1,axiom,(
    ! [A,B,C] : 
      ( v1_relat_1(C)
     => ( r2_hidden(A,k2_wellord1(C,B))
      <=> ( r2_hidden(A,C)
          & r2_hidden(A,k2_zfmisc_1(B,B)) ) ) ) ),
    file(wellord1,t16_wellord1),
    []).

fof(t19_wellord1,axiom,(
    ! [A,B,C] : 
      ( v1_relat_1(C)
     => ( r2_hidden(A,k3_relat_1(k2_wellord1(C,B)))
       => ( r2_hidden(A,k3_relat_1(C))
          & r2_hidden(A,B) ) ) ) ),
    file(wellord1,t19_wellord1),
    []).

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(t29_wellord1,axiom,(
    ! [A,B,C] : 
      ( v1_relat_1(C)
     => ( r1_tarski(A,B)
       => k2_wellord1(k2_wellord1(C,B),A) = k2_wellord1(C,A) ) ) ),
    file(wellord1,t29_wellord1),
    []).

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

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

fof(t30_relat_1,axiom,(
    ! [A,B,C] : 
      ( v1_relat_1(C)
     => ( r2_hidden(k4_tarski(A,B),C)
       => ( r2_hidden(A,k3_relat_1(C))
          & r2_hidden(B,k3_relat_1(C)) ) ) ) ),
    file(relat_1,t30_relat_1),
    []).

fof(t30_wellord1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => k2_wellord1(A,k3_relat_1(A)) = A ) ),
    file(wellord1,t30_wellord1),
    []).

fof(t32_wellord1,axiom,(
    ! [A,B] : 
      ( v1_relat_1(B)
     => ( v2_wellord1(B)
       => v2_wellord1(k2_wellord1(B,A)) ) ) ),
    file(wellord1,t32_wellord1),
    []).

fof(t35_wellord1,axiom,(
    ! [A,B,C] : 
      ( v1_relat_1(C)
     => ( ( v2_wellord1(C)
          & r2_hidden(A,k3_relat_1(C))
          & r2_hidden(B,k1_wellord1(C,A)) )
       => k1_wellord1(k2_wellord1(C,k1_wellord1(C,A)),B) = k1_wellord1(C,B) ) ) ),
    file(wellord1,t35_wellord1),
    []).

fof(t36_wellord1,axiom,(
    ! [A,B] : 
      ( v1_relat_1(B)
     => ( ( v2_wellord1(B)
          & r1_tarski(A,k3_relat_1(B)) )
       => ( ~ ( A != k3_relat_1(B)
              & ! [C] : ~ ( r2_hidden(C,k3_relat_1(B))
                  & A = k1_wellord1(B,C) ) )
        <=> ! [C] : 
              ( r2_hidden(C,A)
             => ! [D] : 
                  ( r2_hidden(k4_tarski(D,C),B)
                 => r2_hidden(D,A) ) ) ) ) ) ),
    file(wellord1,t36_wellord1),
    []).

fof(t37_wellord1,axiom,(
    ! [A,B,C] : 
      ( v1_relat_1(C)
     => ( ( v2_wellord1(C)
          & r2_hidden(A,k3_relat_1(C))
          & r2_hidden(B,k3_relat_1(C)) )
       => ( r2_hidden(k4_tarski(A,B),C)
        <=> r1_tarski(k1_wellord1(C,A),k1_wellord1(C,B)) ) ) ) ),
    file(wellord1,t37_wellord1),
    []).

fof(t38_wellord1,axiom,(
    ! [A,B,C] : 
      ( v1_relat_1(C)
     => ( ( v2_wellord1(C)
          & r2_hidden(A,k3_relat_1(C))
          & r2_hidden(B,k3_relat_1(C)) )
       => ( r1_tarski(k1_wellord1(C,A),k1_wellord1(C,B))
        <=> ( A = B
            | r2_hidden(A,k1_wellord1(C,B)) ) ) ) ) ),
    file(wellord1,t38_wellord1),
    []).

fof(t39_wellord1,axiom,(
    ! [A,B] : 
      ( v1_relat_1(B)
     => ( ( v2_wellord1(B)
          & r1_tarski(A,k3_relat_1(B)) )
       => k3_relat_1(k2_wellord1(B,A)) = A ) ) ),
    file(wellord1,t39_wellord1),
    []).

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

fof(t40_wellord1,axiom,(
    ! [A,B] : 
      ( v1_relat_1(B)
     => ( v2_wellord1(B)
       => k3_relat_1(k2_wellord1(B,k1_wellord1(B,A))) = k1_wellord1(B,A) ) ) ),
    file(wellord1,t40_wellord1),
    []).

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(t50_wellord1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : 
          ( v1_relat_1(B)
         => ( r4_wellord1(A,B)
           => r4_wellord1(B,A) ) ) ) ),
    file(wellord1,t50_wellord1),
    []).

fof(t52_wellord1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : 
          ( v1_relat_1(B)
         => ! [C] : 
              ( v1_relat_1(C)
             => ( ( r4_wellord1(A,B)
                  & r4_wellord1(B,C) )
               => r4_wellord1(A,C) ) ) ) ) ),
    file(wellord1,t52_wellord1),
    []).

fof(t58_wellord1,axiom,(
    ! [A,B,C] : 
      ( v1_relat_1(C)
     => ~ ( v2_wellord1(C)
          & r2_hidden(A,k3_relat_1(C))
          & r2_hidden(B,k3_relat_1(C))
          & A != B
          & r4_wellord1(k2_wellord1(C,k1_wellord1(C,A)),k2_wellord1(C,k1_wellord1(C,B))) ) ) ),
    file(wellord1,t58_wellord1),
    []).

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(t61_wellord1,axiom,(
    ! [A] : 
      ( v1_relat_1(A)
     => ! [B] : 
          ( v1_relat_1(B)
         => ! [C] : 
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ( ( v2_wellord1(A)
                  & r3_wellord1(A,B,C) )
               => ! [D] : ~ ( r2_hidden(D,k3_relat_1(A))
                    & ! [E] : ~ ( r2_hidden(E,k3_relat_1(B))
                        & r4_wellord1(k2_wellord1(A,k1_wellord1(A,D)),k2_wellord1(B,k1_wellord1(B,E))) ) ) ) ) ) ) ),
    file(wellord1,t61_wellord1),
    []).

fof(t62_wellord1,axiom,(
    ! [A,B,C,D] : 
      ( v1_relat_1(D)
     => ! [E] : 
          ( v1_relat_1(E)
         => ( ( v2_wellord1(D)
              & v2_wellord1(E)
              & r2_hidden(A,k3_relat_1(D))
              & r2_hidden(B,k3_relat_1(E))
              & r2_hidden(C,k3_relat_1(E))
              & r4_wellord1(D,k2_wellord1(E,k1_wellord1(E,B)))
              & r4_wellord1(k2_wellord1(D,k1_wellord1(D,A)),k2_wellord1(E,k1_wellord1(E,C))) )
           => ( r1_tarski(k1_wellord1(E,C),k1_wellord1(E,B))
              & r2_hidden(k4_tarski(C,B),E) ) ) ) ) ),
    file(wellord1,t62_wellord1),
    []).

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

fof(t8_funct_1,axiom,(
    ! [A,B,C] : 
      ( ( v1_relat_1(C)
        & v1_funct_1(C) )
     => ( r2_hidden(k4_tarski(A,B),C)
      <=> ( r2_hidden(A,k1_relat_1(C))
          & B = k1_funct_1(C,A) ) ) ) ),
    file(funct_1,t8_funct_1),
    []).