% Mizar ND problem: t4_ami_7,ami_7,107,33 
fof(dh_c1_5__ami_7,definition,
    ( ( v1_setfam_1(c1_5__ami_7)
     => ! [A] : 
          ( ( ~ v3_struct_0(A)
            & ~ v2_ami_1(A,c1_5__ami_7)
            & v5_ami_1(A,c1_5__ami_7)
            & v7_ami_1(A,c1_5__ami_7)
            & v8_ami_1(A,c1_5__ami_7)
            & l1_ami_1(A,c1_5__ami_7) )
         => ! [B] : 
              ( m1_subset_1(B,k4_card_3(u5_ami_1(c1_5__ami_7,A)))
             => ! [C] : 
                  ( m1_subset_1(C,u1_struct_0(A))
                 => ! [D] : 
                      ( m1_struct_0(D,A,u2_ami_1(c1_5__ami_7,A))
                     => ! [E] : 
                          ( m2_subset_1(E,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,A),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(A)))),u4_ami_1(c1_5__ami_7,A))
                         => ! [F] : 
                              ( m1_subset_1(F,k3_ami_1(c1_5__ami_7,A,C))
                             => ( D != C
                               => k13_ami_1(c1_5__ami_7,A,k4_ami_1(c1_5__ami_7,A,E,B),D) = k13_ami_1(c1_5__ami_7,A,k4_ami_1(c1_5__ami_7,A,E,k1_ami_7(c1_5__ami_7,A,B,C,F)),D) ) ) ) ) ) ) ) )
   => ! [G] : 
        ( v1_setfam_1(G)
       => ! [H] : 
            ( ( ~ v3_struct_0(H)
              & ~ v2_ami_1(H,G)
              & v5_ami_1(H,G)
              & v7_ami_1(H,G)
              & v8_ami_1(H,G)
              & l1_ami_1(H,G) )
           => ! [I] : 
                ( m1_subset_1(I,k4_card_3(u5_ami_1(G,H)))
               => ! [J] : 
                    ( m1_subset_1(J,u1_struct_0(H))
                   => ! [K] : 
                        ( m1_struct_0(K,H,u2_ami_1(G,H))
                       => ! [L] : 
                            ( m2_subset_1(L,k2_zfmisc_1(u3_ami_1(G,H),k13_finseq_1(k2_xboole_0(k3_tarski(G),u1_struct_0(H)))),u4_ami_1(G,H))
                           => ! [M] : 
                                ( m1_subset_1(M,k3_ami_1(G,H,J))
                               => ( K != J
                                 => k13_ami_1(G,H,k4_ami_1(G,H,L,I),K) = k13_ami_1(G,H,k4_ami_1(G,H,L,k1_ami_7(G,H,I,J,M)),K) ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c1_5__ami_7),file(ami_7,c1_5__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,c1_5__ami_7)]).

fof(dh_c2_5__ami_7,definition,
    ( ( ( ~ v3_struct_0(c2_5__ami_7)
        & ~ v2_ami_1(c2_5__ami_7,c1_5__ami_7)
        & v5_ami_1(c2_5__ami_7,c1_5__ami_7)
        & v7_ami_1(c2_5__ami_7,c1_5__ami_7)
        & v8_ami_1(c2_5__ami_7,c1_5__ami_7)
        & l1_ami_1(c2_5__ami_7,c1_5__ami_7) )
     => ! [A] : 
          ( m1_subset_1(A,k4_card_3(u5_ami_1(c1_5__ami_7,c2_5__ami_7)))
         => ! [B] : 
              ( m1_subset_1(B,u1_struct_0(c2_5__ami_7))
             => ! [C] : 
                  ( m1_struct_0(C,c2_5__ami_7,u2_ami_1(c1_5__ami_7,c2_5__ami_7))
                 => ! [D] : 
                      ( m2_subset_1(D,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,c2_5__ami_7),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(c2_5__ami_7)))),u4_ami_1(c1_5__ami_7,c2_5__ami_7))
                     => ! [E] : 
                          ( m1_subset_1(E,k3_ami_1(c1_5__ami_7,c2_5__ami_7,B))
                         => ( C != B
                           => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,D,A),C) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,D,k1_ami_7(c1_5__ami_7,c2_5__ami_7,A,B,E)),C) ) ) ) ) ) ) )
   => ! [F] : 
        ( ( ~ v3_struct_0(F)
          & ~ v2_ami_1(F,c1_5__ami_7)
          & v5_ami_1(F,c1_5__ami_7)
          & v7_ami_1(F,c1_5__ami_7)
          & v8_ami_1(F,c1_5__ami_7)
          & l1_ami_1(F,c1_5__ami_7) )
       => ! [G] : 
            ( m1_subset_1(G,k4_card_3(u5_ami_1(c1_5__ami_7,F)))
           => ! [H] : 
                ( m1_subset_1(H,u1_struct_0(F))
               => ! [I] : 
                    ( m1_struct_0(I,F,u2_ami_1(c1_5__ami_7,F))
                   => ! [J] : 
                        ( m2_subset_1(J,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,F),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(F)))),u4_ami_1(c1_5__ami_7,F))
                       => ! [K] : 
                            ( m1_subset_1(K,k3_ami_1(c1_5__ami_7,F,H))
                           => ( I != H
                             => k13_ami_1(c1_5__ami_7,F,k4_ami_1(c1_5__ami_7,F,J,G),I) = k13_ami_1(c1_5__ami_7,F,k4_ami_1(c1_5__ami_7,F,J,k1_ami_7(c1_5__ami_7,F,G,H,K)),I) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c2_5__ami_7),file(ami_7,c2_5__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,c2_5__ami_7)]).

fof(dh_c3_5__ami_7,definition,
    ( ( m1_subset_1(c3_5__ami_7,k4_card_3(u5_ami_1(c1_5__ami_7,c2_5__ami_7)))
     => ! [A] : 
          ( m1_subset_1(A,u1_struct_0(c2_5__ami_7))
         => ! [B] : 
              ( m1_struct_0(B,c2_5__ami_7,u2_ami_1(c1_5__ami_7,c2_5__ami_7))
             => ! [C] : 
                  ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,c2_5__ami_7),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(c2_5__ami_7)))),u4_ami_1(c1_5__ami_7,c2_5__ami_7))
                 => ! [D] : 
                      ( m1_subset_1(D,k3_ami_1(c1_5__ami_7,c2_5__ami_7,A))
                     => ( B != A
                       => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,C,c3_5__ami_7),B) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,C,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,A,D)),B) ) ) ) ) ) )
   => ! [E] : 
        ( m1_subset_1(E,k4_card_3(u5_ami_1(c1_5__ami_7,c2_5__ami_7)))
       => ! [F] : 
            ( m1_subset_1(F,u1_struct_0(c2_5__ami_7))
           => ! [G] : 
                ( m1_struct_0(G,c2_5__ami_7,u2_ami_1(c1_5__ami_7,c2_5__ami_7))
               => ! [H] : 
                    ( m2_subset_1(H,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,c2_5__ami_7),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(c2_5__ami_7)))),u4_ami_1(c1_5__ami_7,c2_5__ami_7))
                   => ! [I] : 
                        ( m1_subset_1(I,k3_ami_1(c1_5__ami_7,c2_5__ami_7,F))
                       => ( G != F
                         => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,H,E),G) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,H,k1_ami_7(c1_5__ami_7,c2_5__ami_7,E,F,I)),G) ) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c3_5__ami_7),file(ami_7,c3_5__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,c3_5__ami_7)]).

fof(dh_c4_5__ami_7,definition,
    ( ( m1_subset_1(c4_5__ami_7,u1_struct_0(c2_5__ami_7))
     => ! [A] : 
          ( m1_struct_0(A,c2_5__ami_7,u2_ami_1(c1_5__ami_7,c2_5__ami_7))
         => ! [B] : 
              ( m2_subset_1(B,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,c2_5__ami_7),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(c2_5__ami_7)))),u4_ami_1(c1_5__ami_7,c2_5__ami_7))
             => ! [C] : 
                  ( m1_subset_1(C,k3_ami_1(c1_5__ami_7,c2_5__ami_7,c4_5__ami_7))
                 => ( A != c4_5__ami_7
                   => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,B,c3_5__ami_7),A) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,B,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,c4_5__ami_7,C)),A) ) ) ) ) )
   => ! [D] : 
        ( m1_subset_1(D,u1_struct_0(c2_5__ami_7))
       => ! [E] : 
            ( m1_struct_0(E,c2_5__ami_7,u2_ami_1(c1_5__ami_7,c2_5__ami_7))
           => ! [F] : 
                ( m2_subset_1(F,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,c2_5__ami_7),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(c2_5__ami_7)))),u4_ami_1(c1_5__ami_7,c2_5__ami_7))
               => ! [G] : 
                    ( m1_subset_1(G,k3_ami_1(c1_5__ami_7,c2_5__ami_7,D))
                   => ( E != D
                     => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,F,c3_5__ami_7),E) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,F,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,D,G)),E) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c4_5__ami_7),file(ami_7,c4_5__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,c4_5__ami_7)]).

fof(dh_c5_5__ami_7,definition,
    ( ( m1_struct_0(c5_5__ami_7,c2_5__ami_7,u2_ami_1(c1_5__ami_7,c2_5__ami_7))
     => ! [A] : 
          ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,c2_5__ami_7),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(c2_5__ami_7)))),u4_ami_1(c1_5__ami_7,c2_5__ami_7))
         => ! [B] : 
              ( m1_subset_1(B,k3_ami_1(c1_5__ami_7,c2_5__ami_7,c4_5__ami_7))
             => ( c5_5__ami_7 != c4_5__ami_7
               => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,A,c3_5__ami_7),c5_5__ami_7) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,A,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,c4_5__ami_7,B)),c5_5__ami_7) ) ) ) )
   => ! [C] : 
        ( m1_struct_0(C,c2_5__ami_7,u2_ami_1(c1_5__ami_7,c2_5__ami_7))
       => ! [D] : 
            ( m2_subset_1(D,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,c2_5__ami_7),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(c2_5__ami_7)))),u4_ami_1(c1_5__ami_7,c2_5__ami_7))
           => ! [E] : 
                ( m1_subset_1(E,k3_ami_1(c1_5__ami_7,c2_5__ami_7,c4_5__ami_7))
               => ( C != c4_5__ami_7
                 => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,D,c3_5__ami_7),C) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,D,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,c4_5__ami_7,E)),C) ) ) ) ) ),
    introduced(definition,[new_symbol(c5_5__ami_7),file(ami_7,c5_5__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,c5_5__ami_7)]).

fof(dh_c6_5__ami_7,definition,
    ( ( m2_subset_1(c6_5__ami_7,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,c2_5__ami_7),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(c2_5__ami_7)))),u4_ami_1(c1_5__ami_7,c2_5__ami_7))
     => ! [A] : 
          ( m1_subset_1(A,k3_ami_1(c1_5__ami_7,c2_5__ami_7,c4_5__ami_7))
         => ( c5_5__ami_7 != c4_5__ami_7
           => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,c6_5__ami_7,c3_5__ami_7),c5_5__ami_7) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,c6_5__ami_7,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,c4_5__ami_7,A)),c5_5__ami_7) ) ) )
   => ! [B] : 
        ( m2_subset_1(B,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,c2_5__ami_7),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(c2_5__ami_7)))),u4_ami_1(c1_5__ami_7,c2_5__ami_7))
       => ! [C] : 
            ( m1_subset_1(C,k3_ami_1(c1_5__ami_7,c2_5__ami_7,c4_5__ami_7))
           => ( c5_5__ami_7 != c4_5__ami_7
             => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,B,c3_5__ami_7),c5_5__ami_7) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,B,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,c4_5__ami_7,C)),c5_5__ami_7) ) ) ) ),
    introduced(definition,[new_symbol(c6_5__ami_7),file(ami_7,c6_5__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,c6_5__ami_7)]).

fof(dh_c7_5__ami_7,definition,
    ( ( m1_subset_1(c7_5__ami_7,k3_ami_1(c1_5__ami_7,c2_5__ami_7,c4_5__ami_7))
     => ( c5_5__ami_7 != c4_5__ami_7
       => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,c6_5__ami_7,c3_5__ami_7),c5_5__ami_7) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,c6_5__ami_7,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,c4_5__ami_7,c7_5__ami_7)),c5_5__ami_7) ) )
   => ! [A] : 
        ( m1_subset_1(A,k3_ami_1(c1_5__ami_7,c2_5__ami_7,c4_5__ami_7))
       => ( c5_5__ami_7 != c4_5__ami_7
         => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,c6_5__ami_7,c3_5__ami_7),c5_5__ami_7) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,c6_5__ami_7,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,c4_5__ami_7,A)),c5_5__ami_7) ) ) ),
    introduced(definition,[new_symbol(c7_5__ami_7),file(ami_7,c7_5__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,c7_5__ami_7)]).

fof(e1_5__ami_7,assumption,(
    c5_5__ami_7 != c4_5__ami_7 ),
    introduced(assumption,[file(ami_7,e1_5__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,e1_5__ami_7)]).

fof(rc1_amistd_2,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_fraenkel(A)
      & v1_pralg_2(A)
      & v1_amistd_2(A) ) ),
    file(amistd_2,rc1_amistd_2),
    [interesting(0.9),axiom,file(amistd_2,rc1_amistd_2)]).

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

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(existence_m1_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m1_relset_1(C,A,B) ),
    file(relset_1,m1_relset_1),
    [interesting(0.9),axiom,file(relset_1,m1_relset_1)]).

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

fof(dt_m1_relset_1,axiom,(
    $true ),
    file(relset_1,m1_relset_1),
    [interesting(0.9),axiom,file(relset_1,m1_relset_1)]).

fof(cc1_amistd_2,theorem,(
    ! [A] : 
      ( v1_amistd_2(A)
     => ( v1_fraenkel(A)
        & v1_pralg_2(A) ) ) ),
    file(amistd_2,cc1_amistd_2),
    [interesting(0.9),axiom,file(amistd_2,cc1_amistd_2)]).

fof(cc1_fraenkel,theorem,(
    ! [A] : 
      ( v1_fraenkel(A)
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ( v1_relat_1(B)
            & v1_funct_1(B) ) ) ) ),
    file(fraenkel,cc1_fraenkel),
    [interesting(0.9),axiom,file(fraenkel,cc1_fraenkel)]).

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(fc4_ami_1,theorem,(
    ! [A,B,C] : 
      ( ( v1_setfam_1(B)
        & v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m1_relset_1(C,A,B) )
     => ( ~ v1_xboole_0(k4_card_3(C))
        & v1_fraenkel(k4_card_3(C)) ) ) ),
    file(ami_1,fc4_ami_1),
    [interesting(0.9),axiom,file(ami_1,fc4_ami_1)]).

fof(rc1_fraenkel,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_fraenkel(A) ) ),
    file(fraenkel,rc1_fraenkel),
    [interesting(0.9),axiom,file(fraenkel,rc1_fraenkel)]).

fof(t1_boole,theorem,(
    ! [A] : k2_xboole_0(A,k1_xboole_0) = A ),
    file(boole,t1_boole),
    [interesting(0.9),axiom,file(boole,t1_boole)]).

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

fof(t4_subset,theorem,(
    ! [A,B,C] : 
      ( ( r2_hidden(A,B)
        & m1_subset_1(B,k1_zfmisc_1(C)) )
     => m1_subset_1(A,C) ) ),
    file(subset,t4_subset),
    [interesting(0.9),axiom,file(subset,t4_subset)]).

fof(t5_subset,theorem,(
    ! [A,B,C] : 
      ~ ( r2_hidden(A,B)
        & m1_subset_1(B,k1_zfmisc_1(C))
        & v1_xboole_0(C) ) ),
    file(subset,t5_subset),
    [interesting(0.9),axiom,file(subset,t5_subset)]).

fof(commutativity_k2_tarski,theorem,(
    ! [A,B] : k2_tarski(A,B) = k2_tarski(B,A) ),
    file(tarski,k2_tarski),
    [interesting(0.9),axiom,file(tarski,k2_tarski)]).

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(existence_m2_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m2_relset_1(C,A,B) ),
    file(relset_1,m2_relset_1),
    [interesting(0.9),axiom,file(relset_1,m2_relset_1)]).

fof(redefinition_k8_funct_2,definition,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m1_relset_1(C,A,B)
        & m1_subset_1(D,A) )
     => k8_funct_2(A,B,C,D) = k1_funct_1(C,D) ) ),
    file(funct_2,k8_funct_2),
    [interesting(0.9),axiom,file(funct_2,k8_funct_2)]).

fof(redefinition_m2_relset_1,definition,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
    <=> m1_relset_1(C,A,B) ) ),
    file(relset_1,m2_relset_1),
    [interesting(0.9),axiom,file(relset_1,m2_relset_1)]).

fof(dt_k1_funct_2,axiom,(
    $true ),
    file(funct_2,k1_funct_2),
    [interesting(0.9),axiom,file(funct_2,k1_funct_2)]).

fof(dt_k1_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k1_zfmisc_1),
    [interesting(0.9),axiom,file(zfmisc_1,k1_zfmisc_1)]).

fof(dt_k2_tarski,axiom,(
    $true ),
    file(tarski,k2_tarski),
    [interesting(0.9),axiom,file(tarski,k2_tarski)]).

fof(dt_k8_funct_2,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m1_relset_1(C,A,B)
        & m1_subset_1(D,A) )
     => m1_subset_1(k8_funct_2(A,B,C,D),B) ) ),
    file(funct_2,k8_funct_2),
    [interesting(0.9),axiom,file(funct_2,k8_funct_2)]).

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

fof(dt_m2_relset_1,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
     => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ),
    file(relset_1,m2_relset_1),
    [interesting(0.9),axiom,file(relset_1,m2_relset_1)]).

fof(dt_u6_ami_1,axiom,(
    ! [A,B] : 
      ( l1_ami_1(B,A)
     => ( v1_funct_1(u6_ami_1(A,B))
        & v1_funct_2(u6_ami_1(A,B),u4_ami_1(A,B),k1_funct_2(k4_card_3(u5_ami_1(A,B)),k4_card_3(u5_ami_1(A,B))))
        & m2_relset_1(u6_ami_1(A,B),u4_ami_1(A,B),k1_funct_2(k4_card_3(u5_ami_1(A,B)),k4_card_3(u5_ami_1(A,B)))) ) ) ),
    file(ami_1,u6_ami_1),
    [interesting(0.9),axiom,file(ami_1,u6_ami_1)]).

fof(cc1_amistd_1,theorem,(
    ! [A] : 
      ( v1_relat_1(A)
     => ( v1_relat_1(A)
        & v1_setfam_1(A) ) ) ),
    file(amistd_1,cc1_amistd_1),
    [interesting(0.9),axiom,file(amistd_1,cc1_amistd_1)]).

fof(cc1_relset_1,theorem,(
    ! [A,B,C] : 
      ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
     => v1_relat_1(C) ) ),
    file(relset_1,cc1_relset_1),
    [interesting(0.9),axiom,file(relset_1,cc1_relset_1)]).

fof(cc1_setfam_1,theorem,(
    ! [A] : 
      ( ( ~ v1_xboole_0(A)
        & v1_setfam_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,A)
         => ~ v1_xboole_0(B) ) ) ),
    file(setfam_1,cc1_setfam_1),
    [interesting(0.9),axiom,file(setfam_1,cc1_setfam_1)]).

fof(cc3_amistd_1,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( l1_ami_1(B,A)
         => ( ( ~ v3_struct_0(B)
              & ~ v2_ami_1(B,A)
              & v5_ami_1(B,A)
              & v7_ami_1(B,A)
              & v8_ami_1(B,A) )
           => ( ~ v3_struct_0(B)
              & ~ v2_ami_1(B,A)
              & v5_ami_1(B,A)
              & v8_ami_1(B,A)
              & v13_ami_1(B,A) ) ) ) ) ),
    file(amistd_1,cc3_amistd_1),
    [interesting(0.9),axiom,file(amistd_1,cc3_amistd_1)]).

fof(fc1_fraenkel,theorem,(
    ! [A,B] : v1_fraenkel(k1_funct_2(A,B)) ),
    file(fraenkel,fc1_fraenkel),
    [interesting(0.9),axiom,file(fraenkel,fc1_fraenkel)]).

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(fc2_xboole_0,theorem,(
    ! [A,B] : 
      ( ~ v1_xboole_0(A)
     => ~ v1_xboole_0(k2_xboole_0(A,B)) ) ),
    file(xboole_0,fc2_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,fc2_xboole_0)]).

fof(fc3_ami_1,theorem,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => v1_fraenkel(k4_card_3(A)) ) ),
    file(ami_1,fc3_ami_1),
    [interesting(0.9),axiom,file(ami_1,fc3_ami_1)]).

fof(fc3_setfam_1,theorem,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ( ~ v1_xboole_0(k2_tarski(A,B))
        & v1_setfam_1(k2_tarski(A,B)) ) ) ),
    file(setfam_1,fc3_setfam_1),
    [interesting(0.9),axiom,file(setfam_1,fc3_setfam_1)]).

fof(fc3_xboole_0,theorem,(
    ! [A,B] : 
      ( ~ v1_xboole_0(A)
     => ~ v1_xboole_0(k2_xboole_0(B,A)) ) ),
    file(xboole_0,fc3_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,fc3_xboole_0)]).

fof(fc4_amistd_1,theorem,(
    ! [A,B,C,D] : 
      ( ( v1_setfam_1(A)
        & ~ v2_ami_1(B,A)
        & l1_ami_1(B,A)
        & m1_subset_1(C,u4_ami_1(A,B))
        & m1_subset_1(D,k4_card_3(u5_ami_1(A,B))) )
     => ( v1_relat_1(k1_funct_1(k8_funct_2(u4_ami_1(A,B),k1_funct_2(k4_card_3(u5_ami_1(A,B)),k4_card_3(u5_ami_1(A,B))),u6_ami_1(A,B),C),D))
        & v1_funct_1(k1_funct_1(k8_funct_2(u4_ami_1(A,B),k1_funct_2(k4_card_3(u5_ami_1(A,B)),k4_card_3(u5_ami_1(A,B))),u6_ami_1(A,B),C),D))
        & v1_setfam_1(k1_funct_1(k8_funct_2(u4_ami_1(A,B),k1_funct_2(k4_card_3(u5_ami_1(A,B)),k4_card_3(u5_ami_1(A,B))),u6_ami_1(A,B),C),D)) ) ) ),
    file(amistd_1,fc4_amistd_1),
    [interesting(0.9),axiom,file(amistd_1,fc4_amistd_1)]).

fof(fc5_amistd_2,theorem,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ( v1_fraenkel(k4_card_3(A))
        & v1_amistd_2(k4_card_3(A)) ) ) ),
    file(amistd_2,fc5_amistd_2),
    [interesting(0.9),axiom,file(amistd_2,fc5_amistd_2)]).

fof(rc1_setfam_1,theorem,(
    ? [A] : 
      ( ~ v1_xboole_0(A)
      & v1_setfam_1(A) ) ),
    file(setfam_1,rc1_setfam_1),
    [interesting(0.9),axiom,file(setfam_1,rc1_setfam_1)]).

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(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(rc5_struct_0,theorem,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
          & ~ v1_xboole_0(B) ) ) ),
    file(struct_0,rc5_struct_0),
    [interesting(0.9),axiom,file(struct_0,rc5_struct_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(t3_subset,theorem,(
    ! [A,B] : 
      ( m1_subset_1(A,k1_zfmisc_1(B))
    <=> r1_tarski(A,B) ) ),
    file(subset,t3_subset),
    [interesting(0.9),axiom,file(subset,t3_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(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(commutativity_k2_xboole_0,theorem,(
    ! [A,B] : k2_xboole_0(A,B) = k2_xboole_0(B,A) ),
    file(xboole_0,k2_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k2_xboole_0)]).

fof(idempotence_k2_xboole_0,theorem,(
    ! [A,B] : k2_xboole_0(A,A) = A ),
    file(xboole_0,k2_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k2_xboole_0)]).

fof(existence_l1_ami_1,axiom,(
    ! [A] : 
    ? [B] : l1_ami_1(B,A) ),
    file(ami_1,l1_ami_1),
    [interesting(0.9),axiom,file(ami_1,l1_ami_1)]).

fof(existence_m1_struct_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ? [C] : m1_struct_0(C,A,B) ) ),
    file(struct_0,m1_struct_0),
    [interesting(0.9),axiom,file(struct_0,m1_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(existence_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ? [C] : m2_subset_1(C,A,B) ) ),
    file(subset_1,m2_subset_1),
    [interesting(0.9),axiom,file(subset_1,m2_subset_1)]).

fof(redefinition_k13_ami_1,definition,(
    ! [A,B,C,D] : 
      ( ( v1_setfam_1(A)
        & ~ v3_struct_0(B)
        & ~ v2_ami_1(B,A)
        & v8_ami_1(B,A)
        & l1_ami_1(B,A)
        & m1_subset_1(C,k4_card_3(u5_ami_1(A,B)))
        & m1_subset_1(D,u2_ami_1(A,B)) )
     => k13_ami_1(A,B,C,D) = k1_funct_1(C,D) ) ),
    file(ami_1,k13_ami_1),
    [interesting(0.9),axiom,file(ami_1,k13_ami_1)]).

fof(redefinition_m1_struct_0,definition,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ! [C] : 
          ( m1_struct_0(C,A,B)
        <=> m1_subset_1(C,B) ) ) ),
    file(struct_0,m1_struct_0),
    [interesting(0.9),axiom,file(struct_0,m1_struct_0)]).

fof(redefinition_m2_subset_1,definition,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m2_subset_1(C,A,B)
        <=> m1_subset_1(C,B) ) ) ),
    file(subset_1,m2_subset_1),
    [interesting(0.9),axiom,file(subset_1,m2_subset_1)]).

fof(dt_k13_ami_1,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_setfam_1(A)
        & ~ v3_struct_0(B)
        & ~ v2_ami_1(B,A)
        & v8_ami_1(B,A)
        & l1_ami_1(B,A)
        & m1_subset_1(C,k4_card_3(u5_ami_1(A,B)))
        & m1_subset_1(D,u2_ami_1(A,B)) )
     => m2_subset_1(k13_ami_1(A,B,C,D),k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B)) ) ),
    file(ami_1,k13_ami_1),
    [interesting(0.9),axiom,file(ami_1,k13_ami_1)]).

fof(dt_k13_finseq_1,axiom,(
    $true ),
    file(finseq_1,k13_finseq_1),
    [interesting(0.9),axiom,file(finseq_1,k13_finseq_1)]).

fof(dt_k1_funct_1,axiom,(
    $true ),
    file(funct_1,k1_funct_1),
    [interesting(0.9),axiom,file(funct_1,k1_funct_1)]).

fof(dt_k2_xboole_0,axiom,(
    $true ),
    file(xboole_0,k2_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k2_xboole_0)]).

fof(dt_k2_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k2_zfmisc_1),
    [interesting(0.9),axiom,file(zfmisc_1,k2_zfmisc_1)]).

fof(dt_k3_tarski,axiom,(
    $true ),
    file(tarski,k3_tarski),
    [interesting(0.9),axiom,file(tarski,k3_tarski)]).

fof(dt_k4_ami_1,axiom,(
    ! [A,B,C,D] : 
      ( ( v1_setfam_1(A)
        & ~ v2_ami_1(B,A)
        & l1_ami_1(B,A)
        & m1_subset_1(C,u4_ami_1(A,B))
        & m1_subset_1(D,k4_card_3(u5_ami_1(A,B))) )
     => m1_subset_1(k4_ami_1(A,B,C,D),k4_card_3(u5_ami_1(A,B))) ) ),
    file(ami_1,k4_ami_1),
    [interesting(0.9),axiom,file(ami_1,k4_ami_1)]).

fof(dt_k4_card_3,axiom,(
    $true ),
    file(card_3,k4_card_3),
    [interesting(0.9),axiom,file(card_3,k4_card_3)]).

fof(dt_l1_ami_1,axiom,(
    ! [A,B] : 
      ( l1_ami_1(B,A)
     => l1_struct_0(B) ) ),
    file(ami_1,l1_ami_1),
    [interesting(0.9),axiom,file(ami_1,l1_ami_1)]).

fof(dt_m1_struct_0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) )
     => ! [C] : 
          ( m1_struct_0(C,A,B)
         => m1_subset_1(C,u1_struct_0(A)) ) ) ),
    file(struct_0,m1_struct_0),
    [interesting(0.9),axiom,file(struct_0,m1_struct_0)]).

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_m2_subset_1,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(A)) )
     => ! [C] : 
          ( m2_subset_1(C,A,B)
         => m1_subset_1(C,A) ) ) ),
    file(subset_1,m2_subset_1),
    [interesting(0.9),axiom,file(subset_1,m2_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_u2_ami_1,axiom,(
    ! [A,B] : 
      ( l1_ami_1(B,A)
     => m1_subset_1(u2_ami_1(A,B),k1_zfmisc_1(u1_struct_0(B))) ) ),
    file(ami_1,u2_ami_1),
    [interesting(0.9),axiom,file(ami_1,u2_ami_1)]).

fof(dt_u3_ami_1,axiom,(
    ! [A,B] : 
      ( l1_ami_1(B,A)
     => ~ v1_xboole_0(u3_ami_1(A,B)) ) ),
    file(ami_1,u3_ami_1),
    [interesting(0.9),axiom,file(ami_1,u3_ami_1)]).

fof(dt_u4_ami_1,axiom,(
    ! [A,B] : 
      ( l1_ami_1(B,A)
     => ( ~ v1_xboole_0(u4_ami_1(A,B))
        & m1_subset_1(u4_ami_1(A,B),k1_zfmisc_1(k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))))) ) ) ),
    file(ami_1,u4_ami_1),
    [interesting(0.9),axiom,file(ami_1,u4_ami_1)]).

fof(dt_u5_ami_1,axiom,(
    ! [A,B] : 
      ( l1_ami_1(B,A)
     => ( v1_funct_1(u5_ami_1(A,B))
        & v1_funct_2(u5_ami_1(A,B),u1_struct_0(B),k2_xboole_0(A,k2_tarski(u4_ami_1(A,B),u2_ami_1(A,B))))
        & m2_relset_1(u5_ami_1(A,B),u1_struct_0(B),k2_xboole_0(A,k2_tarski(u4_ami_1(A,B),u2_ami_1(A,B)))) ) ) ),
    file(ami_1,u5_ami_1),
    [interesting(0.9),axiom,file(ami_1,u5_ami_1)]).

fof(dt_c1_5__ami_7,assumption,(
    v1_setfam_1(c1_5__ami_7) ),
    introduced(assumption,[file(ami_7,c1_5__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,c1_5__ami_7)]).

fof(dt_c2_5__ami_7,assumption,
    ( ~ v3_struct_0(c2_5__ami_7)
    & ~ v2_ami_1(c2_5__ami_7,c1_5__ami_7)
    & v5_ami_1(c2_5__ami_7,c1_5__ami_7)
    & v7_ami_1(c2_5__ami_7,c1_5__ami_7)
    & v8_ami_1(c2_5__ami_7,c1_5__ami_7)
    & l1_ami_1(c2_5__ami_7,c1_5__ami_7) ),
    introduced(assumption,[file(ami_7,c2_5__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,c2_5__ami_7)]).

fof(dt_c3_5__ami_7,assumption,(
    m1_subset_1(c3_5__ami_7,k4_card_3(u5_ami_1(c1_5__ami_7,c2_5__ami_7))) ),
    introduced(assumption,[file(ami_7,c3_5__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,c3_5__ami_7)]).

fof(dt_c5_5__ami_7,assumption,(
    m1_struct_0(c5_5__ami_7,c2_5__ami_7,u2_ami_1(c1_5__ami_7,c2_5__ami_7)) ),
    introduced(assumption,[file(ami_7,c5_5__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,c5_5__ami_7)]).

fof(dt_c6_5__ami_7,assumption,(
    m2_subset_1(c6_5__ami_7,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,c2_5__ami_7),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(c2_5__ami_7)))),u4_ami_1(c1_5__ami_7,c2_5__ami_7)) ),
    introduced(assumption,[file(ami_7,c6_5__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,c6_5__ami_7)]).

fof(fc2_ami_1,theorem,(
    ! [A,B] : 
      ( ( ~ v2_ami_1(B,A)
        & l1_ami_1(B,A) )
     => ~ v1_xboole_0(u2_ami_1(A,B)) ) ),
    file(ami_1,fc2_ami_1),
    [interesting(0.9),axiom,file(ami_1,fc2_ami_1)]).

fof(fc4_setfam_1,theorem,(
    ! [A,B] : 
      ( ( v1_setfam_1(A)
        & v1_setfam_1(B) )
     => v1_setfam_1(k2_xboole_0(A,B)) ) ),
    file(setfam_1,fc4_setfam_1),
    [interesting(0.9),axiom,file(setfam_1,fc4_setfam_1)]).

fof(rc2_ami_1,theorem,(
    ! [A] : 
    ? [B] : 
      ( l1_ami_1(B,A)
      & ~ v3_struct_0(B)
      & ~ v2_ami_1(B,A) ) ),
    file(ami_1,rc2_ami_1),
    [interesting(0.9),axiom,file(ami_1,rc2_ami_1)]).

fof(d7_ami_1,definition,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v2_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
             => ! [D] : 
                  ( m1_subset_1(D,k4_card_3(u5_ami_1(A,B)))
                 => k4_ami_1(A,B,C,D) = k1_funct_1(k8_funct_2(u4_ami_1(A,B),k1_funct_2(k4_card_3(u5_ami_1(A,B)),k4_card_3(u5_ami_1(A,B))),u6_ami_1(A,B),C),D) ) ) ) ) ),
    file(ami_1,d7_ami_1),
    [interesting(0.9),axiom,file(ami_1,d7_ami_1)]).

fof(d13_ami_1,definition,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ( v7_ami_1(B,A)
          <=> ! [C] : 
                ( m1_subset_1(C,k4_card_3(u5_ami_1(A,B)))
               => ! [D] : 
                    ( m2_subset_1(D,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
                   => ! [E] : 
                        ( m1_struct_0(E,B,u2_ami_1(A,B))
                       => k1_funct_1(k4_ami_1(A,B,D,C),E) = k1_funct_1(C,E) ) ) ) ) ) ) ),
    file(ami_1,d13_ami_1),
    [interesting(0.9),axiom,file(ami_1,d13_ami_1)]).

fof(e1_5_1__ami_7,plain,(
    k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,c6_5__ami_7,c3_5__ami_7),c5_5__ami_7) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,c5_5__ami_7) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_5__ami_7,dt_c2_5__ami_7,dt_c3_5__ami_7,dt_c5_5__ami_7,dt_c6_5__ami_7])],[rc1_amistd_2,reflexivity_r1_tarski,antisymmetry_r2_hidden,existence_m1_relset_1,dt_k1_xboole_0,dt_m1_relset_1,cc1_amistd_2,cc1_fraenkel,fc1_xboole_0,fc4_ami_1,rc1_fraenkel,t1_boole,t1_subset,t4_subset,t5_subset,commutativity_k2_tarski,existence_l1_struct_0,existence_m2_relset_1,redefinition_k8_funct_2,redefinition_m2_relset_1,dt_k1_funct_2,dt_k1_zfmisc_1,dt_k2_tarski,dt_k8_funct_2,dt_l1_struct_0,dt_m2_relset_1,dt_u6_ami_1,cc1_amistd_1,cc1_relset_1,cc1_setfam_1,cc3_amistd_1,fc1_fraenkel,fc1_struct_0,fc2_xboole_0,fc3_ami_1,fc3_setfam_1,fc3_xboole_0,fc4_amistd_1,fc5_amistd_2,rc1_setfam_1,rc1_xboole_0,rc2_xboole_0,rc3_struct_0,rc5_struct_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,existence_l1_ami_1,existence_m1_struct_0,existence_m1_subset_1,existence_m2_subset_1,redefinition_k13_ami_1,redefinition_m1_struct_0,redefinition_m2_subset_1,dt_k13_ami_1,dt_k13_finseq_1,dt_k1_funct_1,dt_k2_xboole_0,dt_k2_zfmisc_1,dt_k3_tarski,dt_k4_ami_1,dt_k4_card_3,dt_l1_ami_1,dt_m1_struct_0,dt_m1_subset_1,dt_m2_subset_1,dt_u1_struct_0,dt_u2_ami_1,dt_u3_ami_1,dt_u4_ami_1,dt_u5_ami_1,dt_c1_5__ami_7,dt_c2_5__ami_7,dt_c3_5__ami_7,dt_c5_5__ami_7,dt_c6_5__ami_7,fc2_ami_1,fc4_setfam_1,rc2_ami_1,d7_ami_1,d13_ami_1]),
    [interesting(0.65),file(ami_7,e1_5_1__ami_7),[file(ami_7,e1_5_1__ami_7)]]).

fof(dt_k3_ami_1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(B)
        & l1_ami_1(B,A)
        & m1_subset_1(C,u1_struct_0(B)) )
     => m1_subset_1(k3_ami_1(A,B,C),k2_xboole_0(A,k2_tarski(u4_ami_1(A,B),u2_ami_1(A,B)))) ) ),
    file(ami_1,k3_ami_1),
    [interesting(0.9),axiom,file(ami_1,k3_ami_1)]).

fof(fc11_ami_1,theorem,(
    ! [A,B,C] : 
      ( ( v1_setfam_1(A)
        & ~ v3_struct_0(B)
        & ~ v2_ami_1(B,A)
        & l1_ami_1(B,A)
        & m1_subset_1(C,u1_struct_0(B)) )
     => ~ v1_xboole_0(k3_ami_1(A,B,C)) ) ),
    file(ami_1,fc11_ami_1),
    [interesting(0.9),axiom,file(ami_1,fc11_ami_1)]).

fof(d6_ami_1,definition,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(B)
        & l1_ami_1(B,A) )
     => ! [C] : 
          ( m1_subset_1(C,u1_struct_0(B))
         => k3_ami_1(A,B,C) = k8_funct_2(u1_struct_0(B),k2_xboole_0(A,k2_tarski(u4_ami_1(A,B),u2_ami_1(A,B))),u5_ami_1(A,B),C) ) ) ),
    file(ami_1,d6_ami_1),
    [interesting(0.9),axiom,file(ami_1,d6_ami_1)]).

fof(redefinition_k1_ami_7,definition,(
    ! [A,B,C,D,E] : 
      ( ( v1_setfam_1(A)
        & ~ v3_struct_0(B)
        & ~ v2_ami_1(B,A)
        & v5_ami_1(B,A)
        & v8_ami_1(B,A)
        & l1_ami_1(B,A)
        & m1_subset_1(C,k4_card_3(u5_ami_1(A,B)))
        & m1_subset_1(D,u1_struct_0(B))
        & m1_subset_1(E,k3_ami_1(A,B,D)) )
     => k1_ami_7(A,B,C,D,E) = k2_funct_7(C,D,E) ) ),
    file(ami_7,k1_ami_7),
    [interesting(0.9),axiom,file(ami_7,k1_ami_7)]).

fof(dt_k1_ami_7,axiom,(
    ! [A,B,C,D,E] : 
      ( ( v1_setfam_1(A)
        & ~ v3_struct_0(B)
        & ~ v2_ami_1(B,A)
        & v5_ami_1(B,A)
        & v8_ami_1(B,A)
        & l1_ami_1(B,A)
        & m1_subset_1(C,k4_card_3(u5_ami_1(A,B)))
        & m1_subset_1(D,u1_struct_0(B))
        & m1_subset_1(E,k3_ami_1(A,B,D)) )
     => m1_subset_1(k1_ami_7(A,B,C,D,E),k4_card_3(u5_ami_1(A,B))) ) ),
    file(ami_7,k1_ami_7),
    [interesting(0.9),axiom,file(ami_7,k1_ami_7)]).

fof(dt_k2_funct_7,axiom,(
    ! [A,B,C] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ( v1_relat_1(k2_funct_7(A,B,C))
        & v1_funct_1(k2_funct_7(A,B,C)) ) ) ),
    file(funct_7,k2_funct_7),
    [interesting(0.9),axiom,file(funct_7,k2_funct_7)]).

fof(dt_c4_5__ami_7,assumption,(
    m1_subset_1(c4_5__ami_7,u1_struct_0(c2_5__ami_7)) ),
    introduced(assumption,[file(ami_7,c4_5__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,c4_5__ami_7)]).

fof(dt_c7_5__ami_7,assumption,(
    m1_subset_1(c7_5__ami_7,k3_ami_1(c1_5__ami_7,c2_5__ami_7,c4_5__ami_7)) ),
    introduced(assumption,[file(ami_7,c7_5__ami_7)]),
    [interesting(0.8),axiom,file(ami_7,c7_5__ami_7)]).

fof(t34_funct_7,theorem,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B,C,D] : 
          ( C != D
         => k1_funct_1(k2_funct_7(A,C,B),D) = k1_funct_1(A,D) ) ) ),
    file(funct_7,t34_funct_7),
    [interesting(0.9),axiom,file(funct_7,t34_funct_7)]).

fof(e2_5_1__ami_7,plain,(
    k13_ami_1(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,c5_5__ami_7) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,c4_5__ami_7,c7_5__ami_7),c5_5__ami_7) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_5__ami_7,dt_c2_5__ami_7,dt_c3_5__ami_7,dt_c4_5__ami_7,dt_c5_5__ami_7,dt_c7_5__ami_7,e1_5__ami_7])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,existence_m1_relset_1,dt_k1_xboole_0,dt_m1_relset_1,fc1_xboole_0,fc4_ami_1,rc1_amistd_2,t1_boole,t1_subset,t4_subset,t5_subset,commutativity_k2_tarski,existence_l1_struct_0,existence_m2_relset_1,redefinition_k8_funct_2,redefinition_m2_relset_1,dt_k1_zfmisc_1,dt_k2_tarski,dt_k8_funct_2,dt_l1_struct_0,dt_m2_relset_1,cc1_amistd_2,cc1_fraenkel,cc1_relset_1,cc1_setfam_1,fc1_struct_0,fc2_xboole_0,fc3_setfam_1,fc3_xboole_0,rc1_fraenkel,rc1_setfam_1,rc1_xboole_0,rc2_xboole_0,rc3_struct_0,rc5_struct_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,existence_l1_ami_1,existence_m1_struct_0,existence_m1_subset_1,existence_m2_subset_1,redefinition_m1_struct_0,redefinition_m2_subset_1,dt_k13_finseq_1,dt_k2_xboole_0,dt_k2_zfmisc_1,dt_k3_ami_1,dt_k3_tarski,dt_k4_card_3,dt_l1_ami_1,dt_m1_struct_0,dt_m1_subset_1,dt_m2_subset_1,dt_u1_struct_0,dt_u2_ami_1,dt_u3_ami_1,dt_u4_ami_1,dt_u5_ami_1,cc3_amistd_1,fc11_ami_1,fc2_ami_1,fc3_ami_1,fc4_setfam_1,fc5_amistd_2,rc2_ami_1,d6_ami_1,redefinition_k13_ami_1,redefinition_k1_ami_7,dt_k13_ami_1,dt_k1_ami_7,dt_k1_funct_1,dt_k2_funct_7,dt_c1_5__ami_7,dt_c2_5__ami_7,dt_c3_5__ami_7,dt_c4_5__ami_7,dt_c5_5__ami_7,dt_c7_5__ami_7,cc1_amistd_1,e1_5__ami_7,t34_funct_7]),
    [interesting(0.65),file(ami_7,e2_5_1__ami_7),[file(ami_7,e2_5_1__ami_7)]]).

fof(e3_5_1__ami_7,plain,(
    k13_ami_1(c1_5__ami_7,c2_5__ami_7,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,c4_5__ami_7,c7_5__ami_7),c5_5__ami_7) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,c6_5__ami_7,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,c4_5__ami_7,c7_5__ami_7)),c5_5__ami_7) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_5__ami_7,dt_c2_5__ami_7,dt_c3_5__ami_7,dt_c4_5__ami_7,dt_c5_5__ami_7,dt_c6_5__ami_7,dt_c7_5__ami_7])],[rc1_amistd_2,reflexivity_r1_tarski,antisymmetry_r2_hidden,existence_m1_relset_1,dt_k1_xboole_0,dt_m1_relset_1,cc1_amistd_2,cc1_fraenkel,fc1_xboole_0,fc4_ami_1,rc1_fraenkel,t1_boole,t1_subset,t4_subset,t5_subset,commutativity_k2_tarski,existence_l1_struct_0,existence_m2_relset_1,redefinition_k8_funct_2,redefinition_m2_relset_1,dt_k1_funct_2,dt_k1_zfmisc_1,dt_k2_funct_7,dt_k2_tarski,dt_k3_ami_1,dt_k8_funct_2,dt_l1_struct_0,dt_m2_relset_1,dt_u6_ami_1,cc1_amistd_1,cc1_relset_1,cc1_setfam_1,cc3_amistd_1,fc11_ami_1,fc1_fraenkel,fc1_struct_0,fc2_xboole_0,fc3_ami_1,fc3_setfam_1,fc3_xboole_0,fc4_amistd_1,fc5_amistd_2,rc1_setfam_1,rc1_xboole_0,rc2_xboole_0,rc3_struct_0,rc5_struct_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,d6_ami_1,commutativity_k2_xboole_0,idempotence_k2_xboole_0,existence_l1_ami_1,existence_m1_struct_0,existence_m1_subset_1,existence_m2_subset_1,redefinition_k13_ami_1,redefinition_k1_ami_7,redefinition_m1_struct_0,redefinition_m2_subset_1,dt_k13_ami_1,dt_k13_finseq_1,dt_k1_ami_7,dt_k1_funct_1,dt_k2_xboole_0,dt_k2_zfmisc_1,dt_k3_tarski,dt_k4_ami_1,dt_k4_card_3,dt_l1_ami_1,dt_m1_struct_0,dt_m1_subset_1,dt_m2_subset_1,dt_u1_struct_0,dt_u2_ami_1,dt_u3_ami_1,dt_u4_ami_1,dt_u5_ami_1,dt_c1_5__ami_7,dt_c2_5__ami_7,dt_c3_5__ami_7,dt_c4_5__ami_7,dt_c5_5__ami_7,dt_c6_5__ami_7,dt_c7_5__ami_7,fc2_ami_1,fc4_setfam_1,rc2_ami_1,d7_ami_1,d13_ami_1]),
    [interesting(0.65),file(ami_7,e3_5_1__ami_7),[file(ami_7,e3_5_1__ami_7)]]).

fof(e2_5__ami_7,plain,(
    k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,c6_5__ami_7,c3_5__ami_7),c5_5__ami_7) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,c6_5__ami_7,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,c4_5__ami_7,c7_5__ami_7)),c5_5__ami_7) ),
    inference(iterative_eq,[status(thm),assumptions([e1_5__ami_7,dt_c1_5__ami_7,dt_c2_5__ami_7,dt_c3_5__ami_7,dt_c4_5__ami_7,dt_c5_5__ami_7,dt_c6_5__ami_7,dt_c7_5__ami_7])],[e1_5_1__ami_7,e2_5_1__ami_7,e3_5_1__ami_7]),
    [interesting(0.8),file(ami_7,e2_5__ami_7),[file(ami_7,e2_5__ami_7)]]).

fof(i9_5__ami_7,theorem,(
    $true ),
    introduced(tautology,[file(ami_7,i9_5__ami_7)]),
    [interesting(0.8),trivial,file(ami_7,i9_5__ami_7)]).

fof(i8_5__ami_7,plain,(
    k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,c6_5__ami_7,c3_5__ami_7),c5_5__ami_7) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,c6_5__ami_7,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,c4_5__ami_7,c7_5__ami_7)),c5_5__ami_7) ),
    inference(conclusion,[status(thm),assumptions([e1_5__ami_7,dt_c1_5__ami_7,dt_c2_5__ami_7,dt_c3_5__ami_7,dt_c4_5__ami_7,dt_c5_5__ami_7,dt_c6_5__ami_7,dt_c7_5__ami_7])],[e2_5__ami_7,i9_5__ami_7]),
    [interesting(0.8),file(ami_7,i8_5__ami_7),[file(ami_7,i8_5__ami_7)]]).

fof(i7_5__ami_7,plain,
    ( c5_5__ami_7 != c4_5__ami_7
   => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,c6_5__ami_7,c3_5__ami_7),c5_5__ami_7) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,c6_5__ami_7,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,c4_5__ami_7,c7_5__ami_7)),c5_5__ami_7) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_5__ami_7,dt_c2_5__ami_7,dt_c3_5__ami_7,dt_c4_5__ami_7,dt_c5_5__ami_7,dt_c6_5__ami_7,dt_c7_5__ami_7]),discharge_asm(discharge,[e1_5__ami_7])],[e1_5__ami_7,i8_5__ami_7]),
    [interesting(0.8),file(ami_7,i7_5__ami_7),[file(ami_7,i7_5__ami_7)]]).

fof(i7_5_tmp__ami_7,plain,
    ( m1_subset_1(c7_5__ami_7,k3_ami_1(c1_5__ami_7,c2_5__ami_7,c4_5__ami_7))
   => ( c5_5__ami_7 != c4_5__ami_7
     => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,c6_5__ami_7,c3_5__ami_7),c5_5__ami_7) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,c6_5__ami_7,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,c4_5__ami_7,c7_5__ami_7)),c5_5__ami_7) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_5__ami_7,dt_c2_5__ami_7,dt_c3_5__ami_7,dt_c4_5__ami_7,dt_c5_5__ami_7,dt_c6_5__ami_7]),discharge_asm(discharge,[dt_c7_5__ami_7])],[dt_c7_5__ami_7,i7_5__ami_7]),
    [interesting(0.8),i6_5__ami_7]).

fof(i6_5__ami_7,plain,(
    ! [A] : 
      ( m1_subset_1(A,k3_ami_1(c1_5__ami_7,c2_5__ami_7,c4_5__ami_7))
     => ( c5_5__ami_7 != c4_5__ami_7
       => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,c6_5__ami_7,c3_5__ami_7),c5_5__ami_7) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,c6_5__ami_7,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,c4_5__ami_7,A)),c5_5__ami_7) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_5__ami_7,dt_c2_5__ami_7,dt_c3_5__ami_7,dt_c4_5__ami_7,dt_c5_5__ami_7,dt_c6_5__ami_7])],[i7_5_tmp__ami_7,dh_c7_5__ami_7]),
    [interesting(0.8),file(ami_7,i6_5__ami_7),[file(ami_7,i6_5__ami_7)]]).

fof(i6_5_tmp__ami_7,plain,
    ( m2_subset_1(c6_5__ami_7,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,c2_5__ami_7),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(c2_5__ami_7)))),u4_ami_1(c1_5__ami_7,c2_5__ami_7))
   => ! [A] : 
        ( m1_subset_1(A,k3_ami_1(c1_5__ami_7,c2_5__ami_7,c4_5__ami_7))
       => ( c5_5__ami_7 != c4_5__ami_7
         => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,c6_5__ami_7,c3_5__ami_7),c5_5__ami_7) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,c6_5__ami_7,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,c4_5__ami_7,A)),c5_5__ami_7) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_5__ami_7,dt_c2_5__ami_7,dt_c3_5__ami_7,dt_c4_5__ami_7,dt_c5_5__ami_7]),discharge_asm(discharge,[dt_c6_5__ami_7])],[dt_c6_5__ami_7,i6_5__ami_7]),
    [interesting(0.8),i5_5__ami_7]).

fof(i5_5__ami_7,plain,(
    ! [A] : 
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,c2_5__ami_7),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(c2_5__ami_7)))),u4_ami_1(c1_5__ami_7,c2_5__ami_7))
     => ! [B] : 
          ( m1_subset_1(B,k3_ami_1(c1_5__ami_7,c2_5__ami_7,c4_5__ami_7))
         => ( c5_5__ami_7 != c4_5__ami_7
           => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,A,c3_5__ami_7),c5_5__ami_7) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,A,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,c4_5__ami_7,B)),c5_5__ami_7) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_5__ami_7,dt_c2_5__ami_7,dt_c3_5__ami_7,dt_c4_5__ami_7,dt_c5_5__ami_7])],[i6_5_tmp__ami_7,dh_c6_5__ami_7]),
    [interesting(0.8),file(ami_7,i5_5__ami_7),[file(ami_7,i5_5__ami_7)]]).

fof(i5_5_tmp__ami_7,plain,
    ( m1_struct_0(c5_5__ami_7,c2_5__ami_7,u2_ami_1(c1_5__ami_7,c2_5__ami_7))
   => ! [A] : 
        ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,c2_5__ami_7),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(c2_5__ami_7)))),u4_ami_1(c1_5__ami_7,c2_5__ami_7))
       => ! [B] : 
            ( m1_subset_1(B,k3_ami_1(c1_5__ami_7,c2_5__ami_7,c4_5__ami_7))
           => ( c5_5__ami_7 != c4_5__ami_7
             => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,A,c3_5__ami_7),c5_5__ami_7) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,A,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,c4_5__ami_7,B)),c5_5__ami_7) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_5__ami_7,dt_c2_5__ami_7,dt_c3_5__ami_7,dt_c4_5__ami_7]),discharge_asm(discharge,[dt_c5_5__ami_7])],[dt_c5_5__ami_7,i5_5__ami_7]),
    [interesting(0.8),i4_5__ami_7]).

fof(i4_5__ami_7,plain,(
    ! [A] : 
      ( m1_struct_0(A,c2_5__ami_7,u2_ami_1(c1_5__ami_7,c2_5__ami_7))
     => ! [B] : 
          ( m2_subset_1(B,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,c2_5__ami_7),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(c2_5__ami_7)))),u4_ami_1(c1_5__ami_7,c2_5__ami_7))
         => ! [C] : 
              ( m1_subset_1(C,k3_ami_1(c1_5__ami_7,c2_5__ami_7,c4_5__ami_7))
             => ( A != c4_5__ami_7
               => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,B,c3_5__ami_7),A) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,B,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,c4_5__ami_7,C)),A) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_5__ami_7,dt_c2_5__ami_7,dt_c3_5__ami_7,dt_c4_5__ami_7])],[i5_5_tmp__ami_7,dh_c5_5__ami_7]),
    [interesting(0.8),file(ami_7,i4_5__ami_7),[file(ami_7,i4_5__ami_7)]]).

fof(i4_5_tmp__ami_7,plain,
    ( m1_subset_1(c4_5__ami_7,u1_struct_0(c2_5__ami_7))
   => ! [A] : 
        ( m1_struct_0(A,c2_5__ami_7,u2_ami_1(c1_5__ami_7,c2_5__ami_7))
       => ! [B] : 
            ( m2_subset_1(B,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,c2_5__ami_7),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(c2_5__ami_7)))),u4_ami_1(c1_5__ami_7,c2_5__ami_7))
           => ! [C] : 
                ( m1_subset_1(C,k3_ami_1(c1_5__ami_7,c2_5__ami_7,c4_5__ami_7))
               => ( A != c4_5__ami_7
                 => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,B,c3_5__ami_7),A) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,B,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,c4_5__ami_7,C)),A) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_5__ami_7,dt_c2_5__ami_7,dt_c3_5__ami_7]),discharge_asm(discharge,[dt_c4_5__ami_7])],[dt_c4_5__ami_7,i4_5__ami_7]),
    [interesting(0.8),i3_5__ami_7]).

fof(i3_5__ami_7,plain,(
    ! [A] : 
      ( m1_subset_1(A,u1_struct_0(c2_5__ami_7))
     => ! [B] : 
          ( m1_struct_0(B,c2_5__ami_7,u2_ami_1(c1_5__ami_7,c2_5__ami_7))
         => ! [C] : 
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,c2_5__ami_7),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(c2_5__ami_7)))),u4_ami_1(c1_5__ami_7,c2_5__ami_7))
             => ! [D] : 
                  ( m1_subset_1(D,k3_ami_1(c1_5__ami_7,c2_5__ami_7,A))
                 => ( B != A
                   => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,C,c3_5__ami_7),B) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,C,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,A,D)),B) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_5__ami_7,dt_c2_5__ami_7,dt_c3_5__ami_7])],[i4_5_tmp__ami_7,dh_c4_5__ami_7]),
    [interesting(0.8),file(ami_7,i3_5__ami_7),[file(ami_7,i3_5__ami_7)]]).

fof(i3_5_tmp__ami_7,plain,
    ( m1_subset_1(c3_5__ami_7,k4_card_3(u5_ami_1(c1_5__ami_7,c2_5__ami_7)))
   => ! [A] : 
        ( m1_subset_1(A,u1_struct_0(c2_5__ami_7))
       => ! [B] : 
            ( m1_struct_0(B,c2_5__ami_7,u2_ami_1(c1_5__ami_7,c2_5__ami_7))
           => ! [C] : 
                ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,c2_5__ami_7),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(c2_5__ami_7)))),u4_ami_1(c1_5__ami_7,c2_5__ami_7))
               => ! [D] : 
                    ( m1_subset_1(D,k3_ami_1(c1_5__ami_7,c2_5__ami_7,A))
                   => ( B != A
                     => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,C,c3_5__ami_7),B) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,C,k1_ami_7(c1_5__ami_7,c2_5__ami_7,c3_5__ami_7,A,D)),B) ) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_5__ami_7,dt_c2_5__ami_7]),discharge_asm(discharge,[dt_c3_5__ami_7])],[dt_c3_5__ami_7,i3_5__ami_7]),
    [interesting(0.8),i2_5__ami_7]).

fof(i2_5__ami_7,plain,(
    ! [A] : 
      ( m1_subset_1(A,k4_card_3(u5_ami_1(c1_5__ami_7,c2_5__ami_7)))
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(c2_5__ami_7))
         => ! [C] : 
              ( m1_struct_0(C,c2_5__ami_7,u2_ami_1(c1_5__ami_7,c2_5__ami_7))
             => ! [D] : 
                  ( m2_subset_1(D,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,c2_5__ami_7),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(c2_5__ami_7)))),u4_ami_1(c1_5__ami_7,c2_5__ami_7))
                 => ! [E] : 
                      ( m1_subset_1(E,k3_ami_1(c1_5__ami_7,c2_5__ami_7,B))
                     => ( C != B
                       => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,D,A),C) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,D,k1_ami_7(c1_5__ami_7,c2_5__ami_7,A,B,E)),C) ) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_5__ami_7,dt_c2_5__ami_7])],[i3_5_tmp__ami_7,dh_c3_5__ami_7]),
    [interesting(0.8),file(ami_7,i2_5__ami_7),[file(ami_7,i2_5__ami_7)]]).

fof(i2_5_tmp__ami_7,plain,
    ( ( ~ v3_struct_0(c2_5__ami_7)
      & ~ v2_ami_1(c2_5__ami_7,c1_5__ami_7)
      & v5_ami_1(c2_5__ami_7,c1_5__ami_7)
      & v7_ami_1(c2_5__ami_7,c1_5__ami_7)
      & v8_ami_1(c2_5__ami_7,c1_5__ami_7)
      & l1_ami_1(c2_5__ami_7,c1_5__ami_7) )
   => ! [A] : 
        ( m1_subset_1(A,k4_card_3(u5_ami_1(c1_5__ami_7,c2_5__ami_7)))
       => ! [B] : 
            ( m1_subset_1(B,u1_struct_0(c2_5__ami_7))
           => ! [C] : 
                ( m1_struct_0(C,c2_5__ami_7,u2_ami_1(c1_5__ami_7,c2_5__ami_7))
               => ! [D] : 
                    ( m2_subset_1(D,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,c2_5__ami_7),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(c2_5__ami_7)))),u4_ami_1(c1_5__ami_7,c2_5__ami_7))
                   => ! [E] : 
                        ( m1_subset_1(E,k3_ami_1(c1_5__ami_7,c2_5__ami_7,B))
                       => ( C != B
                         => k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,D,A),C) = k13_ami_1(c1_5__ami_7,c2_5__ami_7,k4_ami_1(c1_5__ami_7,c2_5__ami_7,D,k1_ami_7(c1_5__ami_7,c2_5__ami_7,A,B,E)),C) ) ) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_5__ami_7]),discharge_asm(discharge,[dt_c2_5__ami_7])],[dt_c2_5__ami_7,i2_5__ami_7]),
    [interesting(0.8),i1_5__ami_7]).

fof(i1_5__ami_7,plain,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v2_ami_1(A,c1_5__ami_7)
        & v5_ami_1(A,c1_5__ami_7)
        & v7_ami_1(A,c1_5__ami_7)
        & v8_ami_1(A,c1_5__ami_7)
        & l1_ami_1(A,c1_5__ami_7) )
     => ! [B] : 
          ( m1_subset_1(B,k4_card_3(u5_ami_1(c1_5__ami_7,A)))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_struct_0(D,A,u2_ami_1(c1_5__ami_7,A))
                 => ! [E] : 
                      ( m2_subset_1(E,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,A),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(A)))),u4_ami_1(c1_5__ami_7,A))
                     => ! [F] : 
                          ( m1_subset_1(F,k3_ami_1(c1_5__ami_7,A,C))
                         => ( D != C
                           => k13_ami_1(c1_5__ami_7,A,k4_ami_1(c1_5__ami_7,A,E,B),D) = k13_ami_1(c1_5__ami_7,A,k4_ami_1(c1_5__ami_7,A,E,k1_ami_7(c1_5__ami_7,A,B,C,F)),D) ) ) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_5__ami_7])],[i2_5_tmp__ami_7,dh_c2_5__ami_7]),
    [interesting(0.8),file(ami_7,i1_5__ami_7),[file(ami_7,i1_5__ami_7)]]).

fof(i1_5_tmp__ami_7,plain,
    ( v1_setfam_1(c1_5__ami_7)
   => ! [A] : 
        ( ( ~ v3_struct_0(A)
          & ~ v2_ami_1(A,c1_5__ami_7)
          & v5_ami_1(A,c1_5__ami_7)
          & v7_ami_1(A,c1_5__ami_7)
          & v8_ami_1(A,c1_5__ami_7)
          & l1_ami_1(A,c1_5__ami_7) )
       => ! [B] : 
            ( m1_subset_1(B,k4_card_3(u5_ami_1(c1_5__ami_7,A)))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ! [D] : 
                    ( m1_struct_0(D,A,u2_ami_1(c1_5__ami_7,A))
                   => ! [E] : 
                        ( m2_subset_1(E,k2_zfmisc_1(u3_ami_1(c1_5__ami_7,A),k13_finseq_1(k2_xboole_0(k3_tarski(c1_5__ami_7),u1_struct_0(A)))),u4_ami_1(c1_5__ami_7,A))
                       => ! [F] : 
                            ( m1_subset_1(F,k3_ami_1(c1_5__ami_7,A,C))
                           => ( D != C
                             => k13_ami_1(c1_5__ami_7,A,k4_ami_1(c1_5__ami_7,A,E,B),D) = k13_ami_1(c1_5__ami_7,A,k4_ami_1(c1_5__ami_7,A,E,k1_ami_7(c1_5__ami_7,A,B,C,F)),D) ) ) ) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_5__ami_7])],[dt_c1_5__ami_7,i1_5__ami_7]),
    [interesting(1),t4_ami_7]).

fof(t4_ami_7,theorem,(
    ! [A] : 
      ( v1_setfam_1(A)
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v7_ami_1(B,A)
            & v8_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] : 
              ( m1_subset_1(C,k4_card_3(u5_ami_1(A,B)))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(B))
                 => ! [E] : 
                      ( m1_struct_0(E,B,u2_ami_1(A,B))
                     => ! [F] : 
                          ( m2_subset_1(F,k2_zfmisc_1(u3_ami_1(A,B),k13_finseq_1(k2_xboole_0(k3_tarski(A),u1_struct_0(B)))),u4_ami_1(A,B))
                         => ! [G] : 
                              ( m1_subset_1(G,k3_ami_1(A,B,D))
                             => ( E != D
                               => k13_ami_1(A,B,k4_ami_1(A,B,F,C),E) = k13_ami_1(A,B,k4_ami_1(A,B,F,k1_ami_7(A,B,C,D,G)),E) ) ) ) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([])],[i1_5_tmp__ami_7,dh_c1_5__ami_7]),
    [interesting(1),file(ami_7,t4_ami_7),[file(ami_7,t4_ami_7)]]).