% Mizar ND problem: t15_aff_1,aff_1,98,71 
fof(dh_c1_11__aff_1,definition,
    ( ( ( ~ v3_struct_0(c1_11__aff_1)
        & ~ v3_realset2(c1_11__aff_1)
        & v1_diraf(c1_11__aff_1)
        & l1_analoaf(c1_11__aff_1) )
     => ! [A] : 
          ( m1_subset_1(A,u1_struct_0(c1_11__aff_1))
         => ! [B] : 
              ( m1_subset_1(B,u1_struct_0(c1_11__aff_1))
             => ! [C] : 
                  ( m1_subset_1(C,u1_struct_0(c1_11__aff_1))
                 => ( r1_aff_1(c1_11__aff_1,A,B,C)
                   => ( r1_aff_1(c1_11__aff_1,A,C,B)
                      & r1_aff_1(c1_11__aff_1,B,A,C)
                      & r1_aff_1(c1_11__aff_1,B,C,A)
                      & r1_aff_1(c1_11__aff_1,C,A,B)
                      & r1_aff_1(c1_11__aff_1,C,B,A) ) ) ) ) ) )
   => ! [D] : 
        ( ( ~ v3_struct_0(D)
          & ~ v3_realset2(D)
          & v1_diraf(D)
          & l1_analoaf(D) )
       => ! [E] : 
            ( m1_subset_1(E,u1_struct_0(D))
           => ! [F] : 
                ( m1_subset_1(F,u1_struct_0(D))
               => ! [G] : 
                    ( m1_subset_1(G,u1_struct_0(D))
                   => ( r1_aff_1(D,E,F,G)
                     => ( r1_aff_1(D,E,G,F)
                        & r1_aff_1(D,F,E,G)
                        & r1_aff_1(D,F,G,E)
                        & r1_aff_1(D,G,E,F)
                        & r1_aff_1(D,G,F,E) ) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c1_11__aff_1),file(aff_1,c1_11__aff_1)]),
    [interesting(0.8),axiom,file(aff_1,c1_11__aff_1)]).

fof(dh_c2_11__aff_1,definition,
    ( ( m1_subset_1(c2_11__aff_1,u1_struct_0(c1_11__aff_1))
     => ! [A] : 
          ( m1_subset_1(A,u1_struct_0(c1_11__aff_1))
         => ! [B] : 
              ( m1_subset_1(B,u1_struct_0(c1_11__aff_1))
             => ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,A,B)
               => ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,B,A)
                  & r1_aff_1(c1_11__aff_1,A,c2_11__aff_1,B)
                  & r1_aff_1(c1_11__aff_1,A,B,c2_11__aff_1)
                  & r1_aff_1(c1_11__aff_1,B,c2_11__aff_1,A)
                  & r1_aff_1(c1_11__aff_1,B,A,c2_11__aff_1) ) ) ) ) )
   => ! [C] : 
        ( m1_subset_1(C,u1_struct_0(c1_11__aff_1))
       => ! [D] : 
            ( m1_subset_1(D,u1_struct_0(c1_11__aff_1))
           => ! [E] : 
                ( m1_subset_1(E,u1_struct_0(c1_11__aff_1))
               => ( r1_aff_1(c1_11__aff_1,C,D,E)
                 => ( r1_aff_1(c1_11__aff_1,C,E,D)
                    & r1_aff_1(c1_11__aff_1,D,C,E)
                    & r1_aff_1(c1_11__aff_1,D,E,C)
                    & r1_aff_1(c1_11__aff_1,E,C,D)
                    & r1_aff_1(c1_11__aff_1,E,D,C) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c2_11__aff_1),file(aff_1,c2_11__aff_1)]),
    [interesting(0.8),axiom,file(aff_1,c2_11__aff_1)]).

fof(dh_c3_11__aff_1,definition,
    ( ( m1_subset_1(c3_11__aff_1,u1_struct_0(c1_11__aff_1))
     => ! [A] : 
          ( m1_subset_1(A,u1_struct_0(c1_11__aff_1))
         => ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,c3_11__aff_1,A)
           => ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,A,c3_11__aff_1)
              & r1_aff_1(c1_11__aff_1,c3_11__aff_1,c2_11__aff_1,A)
              & r1_aff_1(c1_11__aff_1,c3_11__aff_1,A,c2_11__aff_1)
              & r1_aff_1(c1_11__aff_1,A,c2_11__aff_1,c3_11__aff_1)
              & r1_aff_1(c1_11__aff_1,A,c3_11__aff_1,c2_11__aff_1) ) ) ) )
   => ! [B] : 
        ( m1_subset_1(B,u1_struct_0(c1_11__aff_1))
       => ! [C] : 
            ( m1_subset_1(C,u1_struct_0(c1_11__aff_1))
           => ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,B,C)
             => ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,C,B)
                & r1_aff_1(c1_11__aff_1,B,c2_11__aff_1,C)
                & r1_aff_1(c1_11__aff_1,B,C,c2_11__aff_1)
                & r1_aff_1(c1_11__aff_1,C,c2_11__aff_1,B)
                & r1_aff_1(c1_11__aff_1,C,B,c2_11__aff_1) ) ) ) ) ),
    introduced(definition,[new_symbol(c3_11__aff_1),file(aff_1,c3_11__aff_1)]),
    [interesting(0.8),axiom,file(aff_1,c3_11__aff_1)]).

fof(dh_c4_11__aff_1,definition,
    ( ( m1_subset_1(c4_11__aff_1,u1_struct_0(c1_11__aff_1))
     => ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,c3_11__aff_1,c4_11__aff_1)
       => ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,c4_11__aff_1,c3_11__aff_1)
          & r1_aff_1(c1_11__aff_1,c3_11__aff_1,c2_11__aff_1,c4_11__aff_1)
          & r1_aff_1(c1_11__aff_1,c3_11__aff_1,c4_11__aff_1,c2_11__aff_1)
          & r1_aff_1(c1_11__aff_1,c4_11__aff_1,c2_11__aff_1,c3_11__aff_1)
          & r1_aff_1(c1_11__aff_1,c4_11__aff_1,c3_11__aff_1,c2_11__aff_1) ) ) )
   => ! [A] : 
        ( m1_subset_1(A,u1_struct_0(c1_11__aff_1))
       => ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,c3_11__aff_1,A)
         => ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,A,c3_11__aff_1)
            & r1_aff_1(c1_11__aff_1,c3_11__aff_1,c2_11__aff_1,A)
            & r1_aff_1(c1_11__aff_1,c3_11__aff_1,A,c2_11__aff_1)
            & r1_aff_1(c1_11__aff_1,A,c2_11__aff_1,c3_11__aff_1)
            & r1_aff_1(c1_11__aff_1,A,c3_11__aff_1,c2_11__aff_1) ) ) ) ),
    introduced(definition,[new_symbol(c4_11__aff_1),file(aff_1,c4_11__aff_1)]),
    [interesting(0.8),axiom,file(aff_1,c4_11__aff_1)]).

fof(e1_11__aff_1,assumption,(
    r1_aff_1(c1_11__aff_1,c2_11__aff_1,c3_11__aff_1,c4_11__aff_1) ),
    introduced(assumption,[file(aff_1,e1_11__aff_1)]),
    [interesting(0.8),axiom,file(aff_1,e1_11__aff_1)]).

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(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(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_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_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_l1_analoaf,axiom,(
    ? [A] : l1_analoaf(A) ),
    file(analoaf,l1_analoaf),
    [interesting(0.9),axiom,file(analoaf,l1_analoaf)]).

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_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_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_11__aff_1,assumption,
    ( ~ v3_struct_0(c1_11__aff_1)
    & ~ v3_realset2(c1_11__aff_1)
    & v1_diraf(c1_11__aff_1)
    & l1_analoaf(c1_11__aff_1) ),
    introduced(assumption,[file(aff_1,c1_11__aff_1)]),
    [interesting(0.8),axiom,file(aff_1,c1_11__aff_1)]).

fof(dt_c2_11__aff_1,assumption,(
    m1_subset_1(c2_11__aff_1,u1_struct_0(c1_11__aff_1)) ),
    introduced(assumption,[file(aff_1,c2_11__aff_1)]),
    [interesting(0.8),axiom,file(aff_1,c2_11__aff_1)]).

fof(dt_c3_11__aff_1,assumption,(
    m1_subset_1(c3_11__aff_1,u1_struct_0(c1_11__aff_1)) ),
    introduced(assumption,[file(aff_1,c3_11__aff_1)]),
    [interesting(0.8),axiom,file(aff_1,c3_11__aff_1)]).

fof(dt_c4_11__aff_1,assumption,(
    m1_subset_1(c4_11__aff_1,u1_struct_0(c1_11__aff_1)) ),
    introduced(assumption,[file(aff_1,c4_11__aff_1)]),
    [interesting(0.8),axiom,file(aff_1,c4_11__aff_1)]).

fof(l19_aff_1,plain,(
    ! [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) ) ) ) ) ) ) ),
    file(aff_1,l19_aff_1),
    [interesting(0.9),axiom,file(aff_1,l19_aff_1)]).

fof(e2_11__aff_1,plain,
    ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,c4_11__aff_1,c3_11__aff_1)
    & r1_aff_1(c1_11__aff_1,c3_11__aff_1,c2_11__aff_1,c4_11__aff_1) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_11__aff_1,dt_c2_11__aff_1,dt_c3_11__aff_1,dt_c4_11__aff_1,e1_11__aff_1])],[antisymmetry_r2_hidden,dt_k1_xboole_0,t1_subset,t8_boole,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_11__aff_1,dt_c2_11__aff_1,dt_c3_11__aff_1,dt_c4_11__aff_1,e1_11__aff_1,l19_aff_1]),
    [interesting(0.8),file(aff_1,e2_11__aff_1),[file(aff_1,e2_11__aff_1)]]).

fof(e3_11__aff_1,plain,
    ( r1_aff_1(c1_11__aff_1,c3_11__aff_1,c4_11__aff_1,c2_11__aff_1)
    & r1_aff_1(c1_11__aff_1,c4_11__aff_1,c2_11__aff_1,c3_11__aff_1) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_11__aff_1,dt_c2_11__aff_1,dt_c3_11__aff_1,dt_c4_11__aff_1,e1_11__aff_1])],[antisymmetry_r2_hidden,dt_k1_xboole_0,t1_subset,t8_boole,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_11__aff_1,dt_c2_11__aff_1,dt_c3_11__aff_1,dt_c4_11__aff_1,e2_11__aff_1,l19_aff_1]),
    [interesting(0.8),file(aff_1,e3_11__aff_1),[file(aff_1,e3_11__aff_1)]]).

fof(e4_11__aff_1,plain,(
    r1_aff_1(c1_11__aff_1,c4_11__aff_1,c3_11__aff_1,c2_11__aff_1) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_11__aff_1,dt_c2_11__aff_1,dt_c3_11__aff_1,dt_c4_11__aff_1,e1_11__aff_1])],[antisymmetry_r2_hidden,dt_k1_xboole_0,t1_subset,t8_boole,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_11__aff_1,dt_c2_11__aff_1,dt_c3_11__aff_1,dt_c4_11__aff_1,e3_11__aff_1,l19_aff_1]),
    [interesting(0.8),file(aff_1,e4_11__aff_1),[file(aff_1,e4_11__aff_1)]]).

fof(i8_11__aff_1,theorem,(
    $true ),
    introduced(tautology,[file(aff_1,i8_11__aff_1)]),
    [interesting(0.8),trivial,file(aff_1,i8_11__aff_1)]).

fof(i7_11__aff_1,plain,(
    r1_aff_1(c1_11__aff_1,c4_11__aff_1,c3_11__aff_1,c2_11__aff_1) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_11__aff_1,dt_c2_11__aff_1,dt_c3_11__aff_1,dt_c4_11__aff_1,e1_11__aff_1])],[e4_11__aff_1,i8_11__aff_1]),
    [interesting(0.8),file(aff_1,i7_11__aff_1),[file(aff_1,i7_11__aff_1)]]).

fof(i6_11__aff_1,plain,
    ( r1_aff_1(c1_11__aff_1,c3_11__aff_1,c4_11__aff_1,c2_11__aff_1)
    & r1_aff_1(c1_11__aff_1,c4_11__aff_1,c2_11__aff_1,c3_11__aff_1)
    & r1_aff_1(c1_11__aff_1,c4_11__aff_1,c3_11__aff_1,c2_11__aff_1) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_11__aff_1,dt_c2_11__aff_1,dt_c3_11__aff_1,dt_c4_11__aff_1,e1_11__aff_1])],[e3_11__aff_1,i7_11__aff_1]),
    [interesting(0.8),file(aff_1,i6_11__aff_1),[file(aff_1,i6_11__aff_1)]]).

fof(i5_11__aff_1,plain,
    ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,c4_11__aff_1,c3_11__aff_1)
    & r1_aff_1(c1_11__aff_1,c3_11__aff_1,c2_11__aff_1,c4_11__aff_1)
    & r1_aff_1(c1_11__aff_1,c3_11__aff_1,c4_11__aff_1,c2_11__aff_1)
    & r1_aff_1(c1_11__aff_1,c4_11__aff_1,c2_11__aff_1,c3_11__aff_1)
    & r1_aff_1(c1_11__aff_1,c4_11__aff_1,c3_11__aff_1,c2_11__aff_1) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_11__aff_1,dt_c2_11__aff_1,dt_c3_11__aff_1,dt_c4_11__aff_1,e1_11__aff_1])],[e2_11__aff_1,i6_11__aff_1]),
    [interesting(0.8),file(aff_1,i5_11__aff_1),[file(aff_1,i5_11__aff_1)]]).

fof(i4_11__aff_1,plain,
    ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,c3_11__aff_1,c4_11__aff_1)
   => ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,c4_11__aff_1,c3_11__aff_1)
      & r1_aff_1(c1_11__aff_1,c3_11__aff_1,c2_11__aff_1,c4_11__aff_1)
      & r1_aff_1(c1_11__aff_1,c3_11__aff_1,c4_11__aff_1,c2_11__aff_1)
      & r1_aff_1(c1_11__aff_1,c4_11__aff_1,c2_11__aff_1,c3_11__aff_1)
      & r1_aff_1(c1_11__aff_1,c4_11__aff_1,c3_11__aff_1,c2_11__aff_1) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_11__aff_1,dt_c2_11__aff_1,dt_c3_11__aff_1,dt_c4_11__aff_1]),discharge_asm(discharge,[e1_11__aff_1])],[e1_11__aff_1,i5_11__aff_1]),
    [interesting(0.8),file(aff_1,i4_11__aff_1),[file(aff_1,i4_11__aff_1)]]).

fof(i4_11_tmp__aff_1,plain,
    ( m1_subset_1(c4_11__aff_1,u1_struct_0(c1_11__aff_1))
   => ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,c3_11__aff_1,c4_11__aff_1)
     => ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,c4_11__aff_1,c3_11__aff_1)
        & r1_aff_1(c1_11__aff_1,c3_11__aff_1,c2_11__aff_1,c4_11__aff_1)
        & r1_aff_1(c1_11__aff_1,c3_11__aff_1,c4_11__aff_1,c2_11__aff_1)
        & r1_aff_1(c1_11__aff_1,c4_11__aff_1,c2_11__aff_1,c3_11__aff_1)
        & r1_aff_1(c1_11__aff_1,c4_11__aff_1,c3_11__aff_1,c2_11__aff_1) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_11__aff_1,dt_c2_11__aff_1,dt_c3_11__aff_1]),discharge_asm(discharge,[dt_c4_11__aff_1])],[dt_c4_11__aff_1,i4_11__aff_1]),
    [interesting(0.8),i3_11__aff_1]).

fof(i3_11__aff_1,plain,(
    ! [A] : 
      ( m1_subset_1(A,u1_struct_0(c1_11__aff_1))
     => ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,c3_11__aff_1,A)
       => ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,A,c3_11__aff_1)
          & r1_aff_1(c1_11__aff_1,c3_11__aff_1,c2_11__aff_1,A)
          & r1_aff_1(c1_11__aff_1,c3_11__aff_1,A,c2_11__aff_1)
          & r1_aff_1(c1_11__aff_1,A,c2_11__aff_1,c3_11__aff_1)
          & r1_aff_1(c1_11__aff_1,A,c3_11__aff_1,c2_11__aff_1) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_11__aff_1,dt_c2_11__aff_1,dt_c3_11__aff_1])],[i4_11_tmp__aff_1,dh_c4_11__aff_1]),
    [interesting(0.8),file(aff_1,i3_11__aff_1),[file(aff_1,i3_11__aff_1)]]).

fof(i3_11_tmp__aff_1,plain,
    ( m1_subset_1(c3_11__aff_1,u1_struct_0(c1_11__aff_1))
   => ! [A] : 
        ( m1_subset_1(A,u1_struct_0(c1_11__aff_1))
       => ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,c3_11__aff_1,A)
         => ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,A,c3_11__aff_1)
            & r1_aff_1(c1_11__aff_1,c3_11__aff_1,c2_11__aff_1,A)
            & r1_aff_1(c1_11__aff_1,c3_11__aff_1,A,c2_11__aff_1)
            & r1_aff_1(c1_11__aff_1,A,c2_11__aff_1,c3_11__aff_1)
            & r1_aff_1(c1_11__aff_1,A,c3_11__aff_1,c2_11__aff_1) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_11__aff_1,dt_c2_11__aff_1]),discharge_asm(discharge,[dt_c3_11__aff_1])],[dt_c3_11__aff_1,i3_11__aff_1]),
    [interesting(0.8),i2_11__aff_1]).

fof(i2_11__aff_1,plain,(
    ! [A] : 
      ( m1_subset_1(A,u1_struct_0(c1_11__aff_1))
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(c1_11__aff_1))
         => ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,A,B)
           => ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,B,A)
              & r1_aff_1(c1_11__aff_1,A,c2_11__aff_1,B)
              & r1_aff_1(c1_11__aff_1,A,B,c2_11__aff_1)
              & r1_aff_1(c1_11__aff_1,B,c2_11__aff_1,A)
              & r1_aff_1(c1_11__aff_1,B,A,c2_11__aff_1) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_11__aff_1,dt_c2_11__aff_1])],[i3_11_tmp__aff_1,dh_c3_11__aff_1]),
    [interesting(0.8),file(aff_1,i2_11__aff_1),[file(aff_1,i2_11__aff_1)]]).

fof(i2_11_tmp__aff_1,plain,
    ( m1_subset_1(c2_11__aff_1,u1_struct_0(c1_11__aff_1))
   => ! [A] : 
        ( m1_subset_1(A,u1_struct_0(c1_11__aff_1))
       => ! [B] : 
            ( m1_subset_1(B,u1_struct_0(c1_11__aff_1))
           => ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,A,B)
             => ( r1_aff_1(c1_11__aff_1,c2_11__aff_1,B,A)
                & r1_aff_1(c1_11__aff_1,A,c2_11__aff_1,B)
                & r1_aff_1(c1_11__aff_1,A,B,c2_11__aff_1)
                & r1_aff_1(c1_11__aff_1,B,c2_11__aff_1,A)
                & r1_aff_1(c1_11__aff_1,B,A,c2_11__aff_1) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_11__aff_1]),discharge_asm(discharge,[dt_c2_11__aff_1])],[dt_c2_11__aff_1,i2_11__aff_1]),
    [interesting(0.8),i1_11__aff_1]).

fof(i1_11__aff_1,plain,(
    ! [A] : 
      ( m1_subset_1(A,u1_struct_0(c1_11__aff_1))
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(c1_11__aff_1))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(c1_11__aff_1))
             => ( r1_aff_1(c1_11__aff_1,A,B,C)
               => ( r1_aff_1(c1_11__aff_1,A,C,B)
                  & r1_aff_1(c1_11__aff_1,B,A,C)
                  & r1_aff_1(c1_11__aff_1,B,C,A)
                  & r1_aff_1(c1_11__aff_1,C,A,B)
                  & r1_aff_1(c1_11__aff_1,C,B,A) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_11__aff_1])],[i2_11_tmp__aff_1,dh_c2_11__aff_1]),
    [interesting(0.8),file(aff_1,i1_11__aff_1),[file(aff_1,i1_11__aff_1)]]).

fof(i1_11_tmp__aff_1,plain,
    ( ( ~ v3_struct_0(c1_11__aff_1)
      & ~ v3_realset2(c1_11__aff_1)
      & v1_diraf(c1_11__aff_1)
      & l1_analoaf(c1_11__aff_1) )
   => ! [A] : 
        ( m1_subset_1(A,u1_struct_0(c1_11__aff_1))
       => ! [B] : 
            ( m1_subset_1(B,u1_struct_0(c1_11__aff_1))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(c1_11__aff_1))
               => ( r1_aff_1(c1_11__aff_1,A,B,C)
                 => ( r1_aff_1(c1_11__aff_1,A,C,B)
                    & r1_aff_1(c1_11__aff_1,B,A,C)
                    & r1_aff_1(c1_11__aff_1,B,C,A)
                    & r1_aff_1(c1_11__aff_1,C,A,B)
                    & r1_aff_1(c1_11__aff_1,C,B,A) ) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_11__aff_1])],[dt_c1_11__aff_1,i1_11__aff_1]),
    [interesting(1),t15_aff_1]).

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) ) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([])],[i1_11_tmp__aff_1,dh_c1_11__aff_1]),
    [interesting(1),file(aff_1,t15_aff_1),[file(aff_1,t15_aff_1)]]).