% Mizar ND problem: t1_aff_4,aff_4,25,20 
fof(dh_c1_1__aff_4,definition,
    ( ( ( ~ v3_struct_0(c1_1__aff_4)
        & ~ v3_realset2(c1_1__aff_4)
        & v1_diraf(c1_1__aff_4)
        & l1_analoaf(c1_1__aff_4) )
     => ! [A] : 
          ( m1_subset_1(A,u1_struct_0(c1_1__aff_4))
         => ! [B] : 
              ( m1_subset_1(B,u1_struct_0(c1_1__aff_4))
             => ! [C] : 
                  ( m1_subset_1(C,u1_struct_0(c1_1__aff_4))
                 => ! [D] : 
                      ( m1_subset_1(D,u1_struct_0(c1_1__aff_4))
                     => ~ ( ( r1_aff_1(c1_1__aff_4,A,B,C)
                            | r1_aff_1(c1_1__aff_4,A,C,B) )
                          & A != B
                          & ! [E] : 
                              ( m1_subset_1(E,u1_struct_0(c1_1__aff_4))
                             => ~ ( r1_aff_1(c1_1__aff_4,A,D,E)
                                  & r2_analoaf(c1_1__aff_4,B,D,C,E) ) ) ) ) ) ) ) )
   => ! [F] : 
        ( ( ~ v3_struct_0(F)
          & ~ v3_realset2(F)
          & v1_diraf(F)
          & l1_analoaf(F) )
       => ! [G] : 
            ( m1_subset_1(G,u1_struct_0(F))
           => ! [H] : 
                ( m1_subset_1(H,u1_struct_0(F))
               => ! [I] : 
                    ( m1_subset_1(I,u1_struct_0(F))
                   => ! [J] : 
                        ( m1_subset_1(J,u1_struct_0(F))
                       => ~ ( ( r1_aff_1(F,G,H,I)
                              | r1_aff_1(F,G,I,H) )
                            & G != H
                            & ! [K] : 
                                ( m1_subset_1(K,u1_struct_0(F))
                               => ~ ( r1_aff_1(F,G,J,K)
                                    & r2_analoaf(F,H,J,I,K) ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c1_1__aff_4),file(aff_4,c1_1__aff_4)]),
    [interesting(0.8),axiom,file(aff_4,c1_1__aff_4)]).

fof(dh_c2_1__aff_4,definition,
    ( ( m1_subset_1(c2_1__aff_4,u1_struct_0(c1_1__aff_4))
     => ! [A] : 
          ( m1_subset_1(A,u1_struct_0(c1_1__aff_4))
         => ! [B] : 
              ( m1_subset_1(B,u1_struct_0(c1_1__aff_4))
             => ! [C] : 
                  ( m1_subset_1(C,u1_struct_0(c1_1__aff_4))
                 => ~ ( ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,A,B)
                        | r1_aff_1(c1_1__aff_4,c2_1__aff_4,B,A) )
                      & c2_1__aff_4 != A
                      & ! [D] : 
                          ( m1_subset_1(D,u1_struct_0(c1_1__aff_4))
                         => ~ ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,C,D)
                              & r2_analoaf(c1_1__aff_4,A,C,B,D) ) ) ) ) ) ) )
   => ! [E] : 
        ( m1_subset_1(E,u1_struct_0(c1_1__aff_4))
       => ! [F] : 
            ( m1_subset_1(F,u1_struct_0(c1_1__aff_4))
           => ! [G] : 
                ( m1_subset_1(G,u1_struct_0(c1_1__aff_4))
               => ! [H] : 
                    ( m1_subset_1(H,u1_struct_0(c1_1__aff_4))
                   => ~ ( ( r1_aff_1(c1_1__aff_4,E,F,G)
                          | r1_aff_1(c1_1__aff_4,E,G,F) )
                        & E != F
                        & ! [I] : 
                            ( m1_subset_1(I,u1_struct_0(c1_1__aff_4))
                           => ~ ( r1_aff_1(c1_1__aff_4,E,H,I)
                                & r2_analoaf(c1_1__aff_4,F,H,G,I) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c2_1__aff_4),file(aff_4,c2_1__aff_4)]),
    [interesting(0.8),axiom,file(aff_4,c2_1__aff_4)]).

fof(dh_c3_1__aff_4,definition,
    ( ( m1_subset_1(c3_1__aff_4,u1_struct_0(c1_1__aff_4))
     => ! [A] : 
          ( m1_subset_1(A,u1_struct_0(c1_1__aff_4))
         => ! [B] : 
              ( m1_subset_1(B,u1_struct_0(c1_1__aff_4))
             => ~ ( ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,c3_1__aff_4,A)
                    | r1_aff_1(c1_1__aff_4,c2_1__aff_4,A,c3_1__aff_4) )
                  & c2_1__aff_4 != c3_1__aff_4
                  & ! [C] : 
                      ( m1_subset_1(C,u1_struct_0(c1_1__aff_4))
                     => ~ ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,B,C)
                          & r2_analoaf(c1_1__aff_4,c3_1__aff_4,B,A,C) ) ) ) ) ) )
   => ! [D] : 
        ( m1_subset_1(D,u1_struct_0(c1_1__aff_4))
       => ! [E] : 
            ( m1_subset_1(E,u1_struct_0(c1_1__aff_4))
           => ! [F] : 
                ( m1_subset_1(F,u1_struct_0(c1_1__aff_4))
               => ~ ( ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,D,E)
                      | r1_aff_1(c1_1__aff_4,c2_1__aff_4,E,D) )
                    & c2_1__aff_4 != D
                    & ! [G] : 
                        ( m1_subset_1(G,u1_struct_0(c1_1__aff_4))
                       => ~ ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,F,G)
                            & r2_analoaf(c1_1__aff_4,D,F,E,G) ) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c3_1__aff_4),file(aff_4,c3_1__aff_4)]),
    [interesting(0.8),axiom,file(aff_4,c3_1__aff_4)]).

fof(dh_c4_1__aff_4,definition,
    ( ( m1_subset_1(c4_1__aff_4,u1_struct_0(c1_1__aff_4))
     => ! [A] : 
          ( m1_subset_1(A,u1_struct_0(c1_1__aff_4))
         => ~ ( ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,c3_1__aff_4,c4_1__aff_4)
                | r1_aff_1(c1_1__aff_4,c2_1__aff_4,c4_1__aff_4,c3_1__aff_4) )
              & c2_1__aff_4 != c3_1__aff_4
              & ! [B] : 
                  ( m1_subset_1(B,u1_struct_0(c1_1__aff_4))
                 => ~ ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,A,B)
                      & r2_analoaf(c1_1__aff_4,c3_1__aff_4,A,c4_1__aff_4,B) ) ) ) ) )
   => ! [C] : 
        ( m1_subset_1(C,u1_struct_0(c1_1__aff_4))
       => ! [D] : 
            ( m1_subset_1(D,u1_struct_0(c1_1__aff_4))
           => ~ ( ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,c3_1__aff_4,C)
                  | r1_aff_1(c1_1__aff_4,c2_1__aff_4,C,c3_1__aff_4) )
                & c2_1__aff_4 != c3_1__aff_4
                & ! [E] : 
                    ( m1_subset_1(E,u1_struct_0(c1_1__aff_4))
                   => ~ ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,D,E)
                        & r2_analoaf(c1_1__aff_4,c3_1__aff_4,D,C,E) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c4_1__aff_4),file(aff_4,c4_1__aff_4)]),
    [interesting(0.8),axiom,file(aff_4,c4_1__aff_4)]).

fof(dh_c5_1__aff_4,definition,
    ( ( m1_subset_1(c5_1__aff_4,u1_struct_0(c1_1__aff_4))
     => ~ ( ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,c3_1__aff_4,c4_1__aff_4)
            | r1_aff_1(c1_1__aff_4,c2_1__aff_4,c4_1__aff_4,c3_1__aff_4) )
          & c2_1__aff_4 != c3_1__aff_4
          & ! [A] : 
              ( m1_subset_1(A,u1_struct_0(c1_1__aff_4))
             => ~ ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,c5_1__aff_4,A)
                  & r2_analoaf(c1_1__aff_4,c3_1__aff_4,c5_1__aff_4,c4_1__aff_4,A) ) ) ) )
   => ! [B] : 
        ( m1_subset_1(B,u1_struct_0(c1_1__aff_4))
       => ~ ( ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,c3_1__aff_4,c4_1__aff_4)
              | r1_aff_1(c1_1__aff_4,c2_1__aff_4,c4_1__aff_4,c3_1__aff_4) )
            & c2_1__aff_4 != c3_1__aff_4
            & ! [C] : 
                ( m1_subset_1(C,u1_struct_0(c1_1__aff_4))
               => ~ ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,B,C)
                    & r2_analoaf(c1_1__aff_4,c3_1__aff_4,B,c4_1__aff_4,C) ) ) ) ) ),
    introduced(definition,[new_symbol(c5_1__aff_4),file(aff_4,c5_1__aff_4)]),
    [interesting(0.8),axiom,file(aff_4,c5_1__aff_4)]).

fof(e1_1__aff_4,assumption,
    ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,c3_1__aff_4,c4_1__aff_4)
    | r1_aff_1(c1_1__aff_4,c2_1__aff_4,c4_1__aff_4,c3_1__aff_4) ),
    introduced(assumption,[file(aff_4,e1_1__aff_4)]),
    [interesting(0.8),axiom,file(aff_4,e1_1__aff_4)]).

fof(e2_1__aff_4,assumption,(
    c2_1__aff_4 != c3_1__aff_4 ),
    introduced(assumption,[file(aff_4,e2_1__aff_4)]),
    [interesting(0.8),axiom,file(aff_4,e2_1__aff_4)]).

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(fc1_xboole_0,theorem,(
    v1_xboole_0(k1_xboole_0) ),
    file(xboole_0,fc1_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,fc1_xboole_0)]).

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

fof(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(rc1_xboole_0,theorem,(
    ? [A] : v1_xboole_0(A) ),
    file(xboole_0,rc1_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,rc1_xboole_0)]).

fof(rc2_xboole_0,theorem,(
    ? [A] : ~ v1_xboole_0(A) ),
    file(xboole_0,rc2_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,rc2_xboole_0)]).

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(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(existence_l1_analoaf,axiom,(
    ? [A] : l1_analoaf(A) ),
    file(analoaf,l1_analoaf),
    [interesting(0.9),axiom,file(analoaf,l1_analoaf)]).

fof(existence_l1_struct_0,axiom,(
    ? [A] : l1_struct_0(A) ),
    file(struct_0,l1_struct_0),
    [interesting(0.9),axiom,file(struct_0,l1_struct_0)]).

fof(dt_l1_analoaf,axiom,(
    ! [A] : 
      ( l1_analoaf(A)
     => l1_struct_0(A) ) ),
    file(analoaf,l1_analoaf),
    [interesting(0.9),axiom,file(analoaf,l1_analoaf)]).

fof(dt_l1_struct_0,axiom,(
    $true ),
    file(struct_0,l1_struct_0),
    [interesting(0.9),axiom,file(struct_0,l1_struct_0)]).

fof(fc1_struct_0,theorem,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ~ v1_xboole_0(u1_struct_0(A)) ) ),
    file(struct_0,fc1_struct_0),
    [interesting(0.9),axiom,file(struct_0,fc1_struct_0)]).

fof(rc3_struct_0,theorem,(
    ? [A] : 
      ( l1_struct_0(A)
      & ~ v3_struct_0(A) ) ),
    file(struct_0,rc3_struct_0),
    [interesting(0.9),axiom,file(struct_0,rc3_struct_0)]).

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

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

fof(dt_u1_struct_0,axiom,(
    $true ),
    file(struct_0,u1_struct_0),
    [interesting(0.9),axiom,file(struct_0,u1_struct_0)]).

fof(dt_c1_1__aff_4,assumption,
    ( ~ v3_struct_0(c1_1__aff_4)
    & ~ v3_realset2(c1_1__aff_4)
    & v1_diraf(c1_1__aff_4)
    & l1_analoaf(c1_1__aff_4) ),
    introduced(assumption,[file(aff_4,c1_1__aff_4)]),
    [interesting(0.8),axiom,file(aff_4,c1_1__aff_4)]).

fof(dt_c2_1__aff_4,assumption,(
    m1_subset_1(c2_1__aff_4,u1_struct_0(c1_1__aff_4)) ),
    introduced(assumption,[file(aff_4,c2_1__aff_4)]),
    [interesting(0.8),axiom,file(aff_4,c2_1__aff_4)]).

fof(dt_c3_1__aff_4,assumption,(
    m1_subset_1(c3_1__aff_4,u1_struct_0(c1_1__aff_4)) ),
    introduced(assumption,[file(aff_4,c3_1__aff_4)]),
    [interesting(0.8),axiom,file(aff_4,c3_1__aff_4)]).

fof(dt_c4_1__aff_4,assumption,(
    m1_subset_1(c4_1__aff_4,u1_struct_0(c1_1__aff_4)) ),
    introduced(assumption,[file(aff_4,c4_1__aff_4)]),
    [interesting(0.8),axiom,file(aff_4,c4_1__aff_4)]).

fof(dt_c5_1__aff_4,assumption,(
    m1_subset_1(c5_1__aff_4,u1_struct_0(c1_1__aff_4)) ),
    introduced(assumption,[file(aff_4,c5_1__aff_4)]),
    [interesting(0.8),axiom,file(aff_4,c5_1__aff_4)]).

fof(dh_c6_1__aff_4,definition,
    ( ? [A] : 
        ( m1_subset_1(A,u1_struct_0(c1_1__aff_4))
        & r2_analoaf(c1_1__aff_4,c5_1__aff_4,c2_1__aff_4,c2_1__aff_4,A)
        & r2_analoaf(c1_1__aff_4,c5_1__aff_4,c3_1__aff_4,c4_1__aff_4,A) )
   => ( m1_subset_1(c6_1__aff_4,u1_struct_0(c1_1__aff_4))
      & r2_analoaf(c1_1__aff_4,c5_1__aff_4,c2_1__aff_4,c2_1__aff_4,c6_1__aff_4)
      & r2_analoaf(c1_1__aff_4,c5_1__aff_4,c3_1__aff_4,c4_1__aff_4,c6_1__aff_4) ) ),
    introduced(definition,[new_symbol(c6_1__aff_4),file(aff_4,c6_1__aff_4)]),
    [interesting(0.8),axiom,file(aff_4,c6_1__aff_4)]).

fof(t15_aff_1,theorem,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ( r1_aff_1(A,B,C,D)
                   => ( r1_aff_1(A,B,D,C)
                      & r1_aff_1(A,C,B,D)
                      & r1_aff_1(A,C,D,B)
                      & r1_aff_1(A,D,B,C)
                      & r1_aff_1(A,D,C,B) ) ) ) ) ) ) ),
    file(aff_1,t15_aff_1),
    [interesting(0.9),axiom,file(aff_1,t15_aff_1)]).

fof(e1_1_1__aff_4,plain,(
    r1_aff_1(c1_1__aff_4,c2_1__aff_4,c3_1__aff_4,c4_1__aff_4) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4,dt_c4_1__aff_4,e1_1__aff_4])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t8_boole,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t7_boole,existence_l1_struct_0,dt_l1_struct_0,fc1_struct_0,rc3_struct_0,existence_l1_analoaf,existence_m1_subset_1,dt_l1_analoaf,dt_m1_subset_1,dt_u1_struct_0,dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4,dt_c4_1__aff_4,e1_1__aff_4,t15_aff_1]),
    [interesting(0.65),file(aff_4,e1_1_1__aff_4),[file(aff_4,e1_1_1__aff_4)]]).

fof(d1_aff_1,definition,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ( r1_aff_1(A,B,C,D)
                  <=> r2_analoaf(A,B,C,B,D) ) ) ) ) ) ),
    file(aff_1,d1_aff_1),
    [interesting(0.9),axiom,file(aff_1,d1_aff_1)]).

fof(e2_1_1__aff_4,plain,(
    r2_analoaf(c1_1__aff_4,c2_1__aff_4,c3_1__aff_4,c2_1__aff_4,c4_1__aff_4) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4,dt_c4_1__aff_4,e1_1__aff_4])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t8_boole,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t7_boole,existence_l1_struct_0,dt_l1_struct_0,fc1_struct_0,rc3_struct_0,existence_l1_analoaf,existence_m1_subset_1,dt_l1_analoaf,dt_m1_subset_1,dt_u1_struct_0,dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4,dt_c4_1__aff_4,e1_1_1__aff_4,d1_aff_1]),
    [interesting(0.65),file(aff_4,e2_1_1__aff_4),[file(aff_4,e2_1_1__aff_4)]]).

fof(t13_aff_1,theorem,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ( r2_analoaf(A,B,C,D,E)
                       => ( r2_analoaf(A,B,C,E,D)
                          & r2_analoaf(A,C,B,D,E)
                          & r2_analoaf(A,C,B,E,D)
                          & r2_analoaf(A,D,E,B,C)
                          & r2_analoaf(A,D,E,C,B)
                          & r2_analoaf(A,E,D,B,C)
                          & r2_analoaf(A,E,D,C,B) ) ) ) ) ) ) ) ),
    file(aff_1,t13_aff_1),
    [interesting(0.9),axiom,file(aff_1,t13_aff_1)]).

fof(e3_1_1__aff_4,plain,(
    r2_analoaf(c1_1__aff_4,c3_1__aff_4,c2_1__aff_4,c2_1__aff_4,c4_1__aff_4) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4,dt_c4_1__aff_4,e1_1__aff_4])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t8_boole,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t7_boole,existence_l1_struct_0,dt_l1_struct_0,fc1_struct_0,rc3_struct_0,existence_l1_analoaf,existence_m1_subset_1,dt_l1_analoaf,dt_m1_subset_1,dt_u1_struct_0,dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4,dt_c4_1__aff_4,e2_1_1__aff_4,t13_aff_1]),
    [interesting(0.65),file(aff_4,e3_1_1__aff_4),[file(aff_4,e3_1_1__aff_4)]]).

fof(i1_1_1__aff_4,theorem,(
    $true ),
    introduced(tautology,[file(aff_4,i1_1_1__aff_4)]),
    [interesting(0.65),trivial,file(aff_4,i1_1_1__aff_4)]).

fof(e3_1__aff_4,plain,(
    r2_analoaf(c1_1__aff_4,c3_1__aff_4,c2_1__aff_4,c2_1__aff_4,c4_1__aff_4) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4,dt_c4_1__aff_4,e1_1__aff_4])],[e3_1_1__aff_4,i1_1_1__aff_4]),
    [interesting(0.8),file(aff_4,e3_1__aff_4),[file(aff_4,e3_1__aff_4)]]).

fof(t47_diraf,theorem,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ( ~ ! [B] : 
              ( m1_subset_1(B,u1_struct_0(A))
             => ! [C] : 
                  ( m1_subset_1(C,u1_struct_0(A))
                 => B = C ) )
        & ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ! [E] : 
                        ( m1_subset_1(E,u1_struct_0(A))
                       => ! [F] : 
                            ( m1_subset_1(F,u1_struct_0(A))
                           => ! [G] : 
                                ( m1_subset_1(G,u1_struct_0(A))
                               => ( r2_analoaf(A,B,C,C,B)
                                  & r2_analoaf(A,B,C,D,D)
                                  & ( ( r2_analoaf(A,B,C,D,E)
                                      & r2_analoaf(A,B,C,F,G) )
                                   => ( B = C
                                      | r2_analoaf(A,D,E,F,G) ) )
                                  & ( r2_analoaf(A,B,C,B,D)
                                   => r2_analoaf(A,C,B,C,D) ) ) ) ) ) ) ) )
        & ~ ! [B] : 
              ( m1_subset_1(B,u1_struct_0(A))
             => ! [C] : 
                  ( m1_subset_1(C,u1_struct_0(A))
                 => ! [D] : 
                      ( m1_subset_1(D,u1_struct_0(A))
                     => r2_analoaf(A,B,C,B,D) ) ) )
        & ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ? [E] : 
                        ( m1_subset_1(E,u1_struct_0(A))
                        & r2_analoaf(A,B,D,C,E)
                        & C != E ) ) ) )
        & ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ? [E] : 
                        ( m1_subset_1(E,u1_struct_0(A))
                        & r2_analoaf(A,B,C,D,E)
                        & r2_analoaf(A,B,D,C,E) ) ) ) )
        & ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ! [E] : 
                        ( m1_subset_1(E,u1_struct_0(A))
                       => ~ ( r2_analoaf(A,D,B,B,E)
                            & B != D
                            & ! [F] : 
                                ( m1_subset_1(F,u1_struct_0(A))
                               => ~ ( r2_analoaf(A,C,B,B,F)
                                    & r2_analoaf(A,C,D,E,F) ) ) ) ) ) ) ) ) ) ),
    file(diraf,t47_diraf),
    [interesting(0.9),axiom,file(diraf,t47_diraf)]).

fof(e4_1__aff_4,plain,(
    ? [A] : 
      ( m1_subset_1(A,u1_struct_0(c1_1__aff_4))
      & r2_analoaf(c1_1__aff_4,c5_1__aff_4,c2_1__aff_4,c2_1__aff_4,A)
      & r2_analoaf(c1_1__aff_4,c5_1__aff_4,c3_1__aff_4,c4_1__aff_4,A) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c5_1__aff_4,dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4,dt_c4_1__aff_4,e1_1__aff_4,e2_1__aff_4])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,existence_l1_struct_0,dt_l1_struct_0,fc1_struct_0,rc3_struct_0,existence_l1_analoaf,existence_m1_subset_1,dt_l1_analoaf,dt_m1_subset_1,dt_u1_struct_0,dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4,dt_c4_1__aff_4,dt_c5_1__aff_4,e3_1__aff_4,e2_1__aff_4,t47_diraf]),
    [interesting(0.8),file(aff_4,e4_1__aff_4),[file(aff_4,e4_1__aff_4)]]).

fof(dt_c6_1__aff_4,plain,(
    m1_subset_1(c6_1__aff_4,u1_struct_0(c1_1__aff_4)) ),
    inference(consider,[status(thm),assumptions([dt_c5_1__aff_4,dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4,dt_c4_1__aff_4,e1_1__aff_4,e2_1__aff_4])],[dh_c6_1__aff_4,e4_1__aff_4]),
    [interesting(0.8),file(aff_4,c6_1__aff_4),[file(aff_4,c6_1__aff_4)]]).

fof(e5_1__aff_4,plain,(
    r2_analoaf(c1_1__aff_4,c5_1__aff_4,c2_1__aff_4,c2_1__aff_4,c6_1__aff_4) ),
    inference(consider,[status(thm),assumptions([dt_c5_1__aff_4,dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4,dt_c4_1__aff_4,e1_1__aff_4,e2_1__aff_4])],[dh_c6_1__aff_4,e4_1__aff_4]),
    [interesting(0.8),file(aff_4,e5_1__aff_4),[file(aff_4,e5_1__aff_4)]]).

fof(e7_1__aff_4,plain,(
    r2_analoaf(c1_1__aff_4,c2_1__aff_4,c5_1__aff_4,c2_1__aff_4,c6_1__aff_4) ),
    inference(mizar_by,[status(thm),assumptions([dt_c5_1__aff_4,dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4,dt_c4_1__aff_4,e1_1__aff_4,e2_1__aff_4])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t8_boole,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t7_boole,existence_l1_struct_0,dt_l1_struct_0,fc1_struct_0,rc3_struct_0,existence_l1_analoaf,existence_m1_subset_1,dt_l1_analoaf,dt_m1_subset_1,dt_u1_struct_0,dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c5_1__aff_4,dt_c6_1__aff_4,e5_1__aff_4,t13_aff_1]),
    [interesting(0.8),file(aff_4,e7_1__aff_4),[file(aff_4,e7_1__aff_4)]]).

fof(e6_1__aff_4,plain,(
    r2_analoaf(c1_1__aff_4,c5_1__aff_4,c3_1__aff_4,c4_1__aff_4,c6_1__aff_4) ),
    inference(consider,[status(thm),assumptions([dt_c5_1__aff_4,dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4,dt_c4_1__aff_4,e1_1__aff_4,e2_1__aff_4])],[dh_c6_1__aff_4,e4_1__aff_4]),
    [interesting(0.8),file(aff_4,e6_1__aff_4),[file(aff_4,e6_1__aff_4)]]).

fof(e8_1__aff_4,plain,
    ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,c5_1__aff_4,c6_1__aff_4)
    & r2_analoaf(c1_1__aff_4,c3_1__aff_4,c5_1__aff_4,c4_1__aff_4,c6_1__aff_4) ),
    inference(mizar_by,[status(thm),assumptions([dt_c5_1__aff_4,dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4,dt_c4_1__aff_4,e1_1__aff_4,e2_1__aff_4])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t8_boole,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t7_boole,existence_l1_struct_0,dt_l1_struct_0,fc1_struct_0,rc3_struct_0,existence_l1_analoaf,existence_m1_subset_1,dt_l1_analoaf,dt_m1_subset_1,dt_u1_struct_0,dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4,dt_c4_1__aff_4,dt_c5_1__aff_4,dt_c6_1__aff_4,e7_1__aff_4,e6_1__aff_4,t13_aff_1,d1_aff_1]),
    [interesting(0.8),file(aff_4,e8_1__aff_4),[file(aff_4,e8_1__aff_4)]]).

fof(e9_1__aff_4,plain,(
    ? [A] : 
      ( m1_subset_1(A,u1_struct_0(c1_1__aff_4))
      & r1_aff_1(c1_1__aff_4,c2_1__aff_4,c5_1__aff_4,A)
      & r2_analoaf(c1_1__aff_4,c3_1__aff_4,c5_1__aff_4,c4_1__aff_4,A) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c5_1__aff_4,dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4,dt_c4_1__aff_4,e1_1__aff_4,e2_1__aff_4])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t8_boole,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t7_boole,existence_l1_analoaf,existence_l1_struct_0,dt_l1_analoaf,dt_l1_struct_0,fc1_struct_0,rc3_struct_0,existence_m1_subset_1,dt_m1_subset_1,dt_u1_struct_0,dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4,dt_c4_1__aff_4,dt_c5_1__aff_4,dt_c6_1__aff_4,e8_1__aff_4]),
    [interesting(0.8),file(aff_4,e9_1__aff_4),[file(aff_4,e9_1__aff_4)]]).

fof(i7_1__aff_4,theorem,(
    $true ),
    introduced(tautology,[file(aff_4,i7_1__aff_4)]),
    [interesting(0.8),trivial,file(aff_4,i7_1__aff_4)]).

fof(i6_1__aff_4,plain,(
    ? [A] : 
      ( m1_subset_1(A,u1_struct_0(c1_1__aff_4))
      & r1_aff_1(c1_1__aff_4,c2_1__aff_4,c5_1__aff_4,A)
      & r2_analoaf(c1_1__aff_4,c3_1__aff_4,c5_1__aff_4,c4_1__aff_4,A) ) ),
    inference(conclusion,[status(thm),assumptions([dt_c5_1__aff_4,dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4,dt_c4_1__aff_4,e1_1__aff_4,e2_1__aff_4])],[e9_1__aff_4,i7_1__aff_4]),
    [interesting(0.8),file(aff_4,i6_1__aff_4),[file(aff_4,i6_1__aff_4)]]).

fof(i5_1__aff_4,plain,(
    ~ ( ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,c3_1__aff_4,c4_1__aff_4)
        | r1_aff_1(c1_1__aff_4,c2_1__aff_4,c4_1__aff_4,c3_1__aff_4) )
      & c2_1__aff_4 != c3_1__aff_4
      & ! [A] : 
          ( m1_subset_1(A,u1_struct_0(c1_1__aff_4))
         => ~ ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,c5_1__aff_4,A)
              & r2_analoaf(c1_1__aff_4,c3_1__aff_4,c5_1__aff_4,c4_1__aff_4,A) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c5_1__aff_4,dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4,dt_c4_1__aff_4]),discharge_asm(discharge,[e1_1__aff_4,e2_1__aff_4])],[e1_1__aff_4,e2_1__aff_4,i6_1__aff_4]),
    [interesting(0.8),file(aff_4,i5_1__aff_4),[file(aff_4,i5_1__aff_4)]]).

fof(i5_1_tmp__aff_4,plain,
    ( m1_subset_1(c5_1__aff_4,u1_struct_0(c1_1__aff_4))
   => ~ ( ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,c3_1__aff_4,c4_1__aff_4)
          | r1_aff_1(c1_1__aff_4,c2_1__aff_4,c4_1__aff_4,c3_1__aff_4) )
        & c2_1__aff_4 != c3_1__aff_4
        & ! [A] : 
            ( m1_subset_1(A,u1_struct_0(c1_1__aff_4))
           => ~ ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,c5_1__aff_4,A)
                & r2_analoaf(c1_1__aff_4,c3_1__aff_4,c5_1__aff_4,c4_1__aff_4,A) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4,dt_c4_1__aff_4]),discharge_asm(discharge,[dt_c5_1__aff_4])],[dt_c5_1__aff_4,i5_1__aff_4]),
    [interesting(0.8),i4_1__aff_4]).

fof(i4_1__aff_4,plain,(
    ! [A] : 
      ( m1_subset_1(A,u1_struct_0(c1_1__aff_4))
     => ~ ( ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,c3_1__aff_4,c4_1__aff_4)
            | r1_aff_1(c1_1__aff_4,c2_1__aff_4,c4_1__aff_4,c3_1__aff_4) )
          & c2_1__aff_4 != c3_1__aff_4
          & ! [B] : 
              ( m1_subset_1(B,u1_struct_0(c1_1__aff_4))
             => ~ ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,A,B)
                  & r2_analoaf(c1_1__aff_4,c3_1__aff_4,A,c4_1__aff_4,B) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4,dt_c4_1__aff_4])],[i5_1_tmp__aff_4,dh_c5_1__aff_4]),
    [interesting(0.8),file(aff_4,i4_1__aff_4),[file(aff_4,i4_1__aff_4)]]).

fof(i4_1_tmp__aff_4,plain,
    ( m1_subset_1(c4_1__aff_4,u1_struct_0(c1_1__aff_4))
   => ! [A] : 
        ( m1_subset_1(A,u1_struct_0(c1_1__aff_4))
       => ~ ( ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,c3_1__aff_4,c4_1__aff_4)
              | r1_aff_1(c1_1__aff_4,c2_1__aff_4,c4_1__aff_4,c3_1__aff_4) )
            & c2_1__aff_4 != c3_1__aff_4
            & ! [B] : 
                ( m1_subset_1(B,u1_struct_0(c1_1__aff_4))
               => ~ ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,A,B)
                    & r2_analoaf(c1_1__aff_4,c3_1__aff_4,A,c4_1__aff_4,B) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4]),discharge_asm(discharge,[dt_c4_1__aff_4])],[dt_c4_1__aff_4,i4_1__aff_4]),
    [interesting(0.8),i3_1__aff_4]).

fof(i3_1__aff_4,plain,(
    ! [A] : 
      ( m1_subset_1(A,u1_struct_0(c1_1__aff_4))
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(c1_1__aff_4))
         => ~ ( ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,c3_1__aff_4,A)
                | r1_aff_1(c1_1__aff_4,c2_1__aff_4,A,c3_1__aff_4) )
              & c2_1__aff_4 != c3_1__aff_4
              & ! [C] : 
                  ( m1_subset_1(C,u1_struct_0(c1_1__aff_4))
                 => ~ ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,B,C)
                      & r2_analoaf(c1_1__aff_4,c3_1__aff_4,B,A,C) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_1__aff_4,dt_c2_1__aff_4,dt_c3_1__aff_4])],[i4_1_tmp__aff_4,dh_c4_1__aff_4]),
    [interesting(0.8),file(aff_4,i3_1__aff_4),[file(aff_4,i3_1__aff_4)]]).

fof(i3_1_tmp__aff_4,plain,
    ( m1_subset_1(c3_1__aff_4,u1_struct_0(c1_1__aff_4))
   => ! [A] : 
        ( m1_subset_1(A,u1_struct_0(c1_1__aff_4))
       => ! [B] : 
            ( m1_subset_1(B,u1_struct_0(c1_1__aff_4))
           => ~ ( ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,c3_1__aff_4,A)
                  | r1_aff_1(c1_1__aff_4,c2_1__aff_4,A,c3_1__aff_4) )
                & c2_1__aff_4 != c3_1__aff_4
                & ! [C] : 
                    ( m1_subset_1(C,u1_struct_0(c1_1__aff_4))
                   => ~ ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,B,C)
                        & r2_analoaf(c1_1__aff_4,c3_1__aff_4,B,A,C) ) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1__aff_4,dt_c2_1__aff_4]),discharge_asm(discharge,[dt_c3_1__aff_4])],[dt_c3_1__aff_4,i3_1__aff_4]),
    [interesting(0.8),i2_1__aff_4]).

fof(i2_1__aff_4,plain,(
    ! [A] : 
      ( m1_subset_1(A,u1_struct_0(c1_1__aff_4))
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(c1_1__aff_4))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(c1_1__aff_4))
             => ~ ( ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,A,B)
                    | r1_aff_1(c1_1__aff_4,c2_1__aff_4,B,A) )
                  & c2_1__aff_4 != A
                  & ! [D] : 
                      ( m1_subset_1(D,u1_struct_0(c1_1__aff_4))
                     => ~ ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,C,D)
                          & r2_analoaf(c1_1__aff_4,A,C,B,D) ) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_1__aff_4,dt_c2_1__aff_4])],[i3_1_tmp__aff_4,dh_c3_1__aff_4]),
    [interesting(0.8),file(aff_4,i2_1__aff_4),[file(aff_4,i2_1__aff_4)]]).

fof(i2_1_tmp__aff_4,plain,
    ( m1_subset_1(c2_1__aff_4,u1_struct_0(c1_1__aff_4))
   => ! [A] : 
        ( m1_subset_1(A,u1_struct_0(c1_1__aff_4))
       => ! [B] : 
            ( m1_subset_1(B,u1_struct_0(c1_1__aff_4))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(c1_1__aff_4))
               => ~ ( ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,A,B)
                      | r1_aff_1(c1_1__aff_4,c2_1__aff_4,B,A) )
                    & c2_1__aff_4 != A
                    & ! [D] : 
                        ( m1_subset_1(D,u1_struct_0(c1_1__aff_4))
                       => ~ ( r1_aff_1(c1_1__aff_4,c2_1__aff_4,C,D)
                            & r2_analoaf(c1_1__aff_4,A,C,B,D) ) ) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1__aff_4]),discharge_asm(discharge,[dt_c2_1__aff_4])],[dt_c2_1__aff_4,i2_1__aff_4]),
    [interesting(0.8),i1_1__aff_4]).

fof(i1_1__aff_4,plain,(
    ! [A] : 
      ( m1_subset_1(A,u1_struct_0(c1_1__aff_4))
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(c1_1__aff_4))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(c1_1__aff_4))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(c1_1__aff_4))
                 => ~ ( ( r1_aff_1(c1_1__aff_4,A,B,C)
                        | r1_aff_1(c1_1__aff_4,A,C,B) )
                      & A != B
                      & ! [E] : 
                          ( m1_subset_1(E,u1_struct_0(c1_1__aff_4))
                         => ~ ( r1_aff_1(c1_1__aff_4,A,D,E)
                              & r2_analoaf(c1_1__aff_4,B,D,C,E) ) ) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_1__aff_4])],[i2_1_tmp__aff_4,dh_c2_1__aff_4]),
    [interesting(0.8),file(aff_4,i1_1__aff_4),[file(aff_4,i1_1__aff_4)]]).

fof(i1_1_tmp__aff_4,plain,
    ( ( ~ v3_struct_0(c1_1__aff_4)
      & ~ v3_realset2(c1_1__aff_4)
      & v1_diraf(c1_1__aff_4)
      & l1_analoaf(c1_1__aff_4) )
   => ! [A] : 
        ( m1_subset_1(A,u1_struct_0(c1_1__aff_4))
       => ! [B] : 
            ( m1_subset_1(B,u1_struct_0(c1_1__aff_4))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(c1_1__aff_4))
               => ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(c1_1__aff_4))
                   => ~ ( ( r1_aff_1(c1_1__aff_4,A,B,C)
                          | r1_aff_1(c1_1__aff_4,A,C,B) )
                        & A != B
                        & ! [E] : 
                            ( m1_subset_1(E,u1_struct_0(c1_1__aff_4))
                           => ~ ( r1_aff_1(c1_1__aff_4,A,D,E)
                                & r2_analoaf(c1_1__aff_4,B,D,C,E) ) ) ) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_1__aff_4])],[dt_c1_1__aff_4,i1_1__aff_4]),
    [interesting(1),t1_aff_4]).

fof(t1_aff_4,theorem,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v1_diraf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ~ ( ( r1_aff_1(A,B,C,D)
                            | r1_aff_1(A,B,D,C) )
                          & B != C
                          & ! [F] : 
                              ( m1_subset_1(F,u1_struct_0(A))
                             => ~ ( r1_aff_1(A,B,E,F)
                                  & r2_analoaf(A,C,E,D,F) ) ) ) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([])],[i1_1_tmp__aff_4,dh_c1_1__aff_4]),
    [interesting(1),file(aff_4,t1_aff_4),[file(aff_4,t1_aff_4)]]).