% Mizar ND problem: t3_bvfunc14,bvfunc14,319,15 
fof(dh_c1_7__bvfunc14,definition,
    ( ( ~ v1_xboole_0(c1_7__bvfunc14)
     => ! [A] : 
          ( m1_subset_1(A,k1_zfmisc_1(k1_bvfunc_2(c1_7__bvfunc14)))
         => ! [B] : 
              ( m1_eqrel_1(B,c1_7__bvfunc14)
             => ! [C] : 
                  ( m1_eqrel_1(C,c1_7__bvfunc14)
                 => ! [D] : 
                      ( m1_eqrel_1(D,c1_7__bvfunc14)
                     => ( A = k1_enumset1(B,C,D)
                       => ( B = C
                          | C = D
                          | D = B
                          | k2_bvfunc_2(c1_7__bvfunc14,A) = k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,B,C),D) ) ) ) ) ) ) )
   => ! [E] : 
        ( ~ v1_xboole_0(E)
       => ! [F] : 
            ( m1_subset_1(F,k1_zfmisc_1(k1_bvfunc_2(E)))
           => ! [G] : 
                ( m1_eqrel_1(G,E)
               => ! [H] : 
                    ( m1_eqrel_1(H,E)
                   => ! [I] : 
                        ( m1_eqrel_1(I,E)
                       => ( F = k1_enumset1(G,H,I)
                         => ( G = H
                            | H = I
                            | I = G
                            | k2_bvfunc_2(E,F) = k2_partit1(E,k2_partit1(E,G,H),I) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c1_7__bvfunc14),file(bvfunc14,c1_7__bvfunc14)]),
    [interesting(0.8),axiom,file(bvfunc14,c1_7__bvfunc14)]).

fof(dh_c2_7__bvfunc14,definition,
    ( ( m1_subset_1(c2_7__bvfunc14,k1_zfmisc_1(k1_bvfunc_2(c1_7__bvfunc14)))
     => ! [A] : 
          ( m1_eqrel_1(A,c1_7__bvfunc14)
         => ! [B] : 
              ( m1_eqrel_1(B,c1_7__bvfunc14)
             => ! [C] : 
                  ( m1_eqrel_1(C,c1_7__bvfunc14)
                 => ( c2_7__bvfunc14 = k1_enumset1(A,B,C)
                   => ( A = B
                      | B = C
                      | C = A
                      | k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14) = k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,A,B),C) ) ) ) ) ) )
   => ! [D] : 
        ( m1_subset_1(D,k1_zfmisc_1(k1_bvfunc_2(c1_7__bvfunc14)))
       => ! [E] : 
            ( m1_eqrel_1(E,c1_7__bvfunc14)
           => ! [F] : 
                ( m1_eqrel_1(F,c1_7__bvfunc14)
               => ! [G] : 
                    ( m1_eqrel_1(G,c1_7__bvfunc14)
                   => ( D = k1_enumset1(E,F,G)
                     => ( E = F
                        | F = G
                        | G = E
                        | k2_bvfunc_2(c1_7__bvfunc14,D) = k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,E,F),G) ) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c2_7__bvfunc14),file(bvfunc14,c2_7__bvfunc14)]),
    [interesting(0.8),axiom,file(bvfunc14,c2_7__bvfunc14)]).

fof(dh_c3_7__bvfunc14,definition,
    ( ( m1_eqrel_1(c3_7__bvfunc14,c1_7__bvfunc14)
     => ! [A] : 
          ( m1_eqrel_1(A,c1_7__bvfunc14)
         => ! [B] : 
              ( m1_eqrel_1(B,c1_7__bvfunc14)
             => ( c2_7__bvfunc14 = k1_enumset1(c3_7__bvfunc14,A,B)
               => ( c3_7__bvfunc14 = A
                  | A = B
                  | B = c3_7__bvfunc14
                  | k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14) = k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,A),B) ) ) ) ) )
   => ! [C] : 
        ( m1_eqrel_1(C,c1_7__bvfunc14)
       => ! [D] : 
            ( m1_eqrel_1(D,c1_7__bvfunc14)
           => ! [E] : 
                ( m1_eqrel_1(E,c1_7__bvfunc14)
               => ( c2_7__bvfunc14 = k1_enumset1(C,D,E)
                 => ( C = D
                    | D = E
                    | E = C
                    | k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14) = k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,C,D),E) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c3_7__bvfunc14),file(bvfunc14,c3_7__bvfunc14)]),
    [interesting(0.8),axiom,file(bvfunc14,c3_7__bvfunc14)]).

fof(dh_c4_7__bvfunc14,definition,
    ( ( m1_eqrel_1(c4_7__bvfunc14,c1_7__bvfunc14)
     => ! [A] : 
          ( m1_eqrel_1(A,c1_7__bvfunc14)
         => ( c2_7__bvfunc14 = k1_enumset1(c3_7__bvfunc14,c4_7__bvfunc14,A)
           => ( c3_7__bvfunc14 = c4_7__bvfunc14
              | c4_7__bvfunc14 = A
              | A = c3_7__bvfunc14
              | k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14) = k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),A) ) ) ) )
   => ! [B] : 
        ( m1_eqrel_1(B,c1_7__bvfunc14)
       => ! [C] : 
            ( m1_eqrel_1(C,c1_7__bvfunc14)
           => ( c2_7__bvfunc14 = k1_enumset1(c3_7__bvfunc14,B,C)
             => ( c3_7__bvfunc14 = B
                | B = C
                | C = c3_7__bvfunc14
                | k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14) = k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,B),C) ) ) ) ) ),
    introduced(definition,[new_symbol(c4_7__bvfunc14),file(bvfunc14,c4_7__bvfunc14)]),
    [interesting(0.8),axiom,file(bvfunc14,c4_7__bvfunc14)]).

fof(dh_c5_7__bvfunc14,definition,
    ( ( m1_eqrel_1(c5_7__bvfunc14,c1_7__bvfunc14)
     => ( c2_7__bvfunc14 = k1_enumset1(c3_7__bvfunc14,c4_7__bvfunc14,c5_7__bvfunc14)
       => ( c3_7__bvfunc14 = c4_7__bvfunc14
          | c4_7__bvfunc14 = c5_7__bvfunc14
          | c5_7__bvfunc14 = c3_7__bvfunc14
          | k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14) = k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),c5_7__bvfunc14) ) ) )
   => ! [A] : 
        ( m1_eqrel_1(A,c1_7__bvfunc14)
       => ( c2_7__bvfunc14 = k1_enumset1(c3_7__bvfunc14,c4_7__bvfunc14,A)
         => ( c3_7__bvfunc14 = c4_7__bvfunc14
            | c4_7__bvfunc14 = A
            | A = c3_7__bvfunc14
            | k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14) = k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),A) ) ) ) ),
    introduced(definition,[new_symbol(c5_7__bvfunc14),file(bvfunc14,c5_7__bvfunc14)]),
    [interesting(0.8),axiom,file(bvfunc14,c5_7__bvfunc14)]).

fof(e1_7__bvfunc14,assumption,
    ( c2_7__bvfunc14 = k1_enumset1(c3_7__bvfunc14,c4_7__bvfunc14,c5_7__bvfunc14)
    & c3_7__bvfunc14 != c4_7__bvfunc14
    & c4_7__bvfunc14 != c5_7__bvfunc14
    & c5_7__bvfunc14 != c3_7__bvfunc14 ),
    introduced(assumption,[file(bvfunc14,e1_7__bvfunc14)]),
    [interesting(0.8),axiom,file(bvfunc14,e1_7__bvfunc14)]).

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_t_1topsp,axiom,(
    ! [A] : 
    ? [B] : m1_t_1topsp(B,A) ),
    file(t_1topsp,m1_t_1topsp),
    [interesting(0.9),axiom,file(t_1topsp,m1_t_1topsp)]).

fof(dt_k1_partit1,axiom,(
    $true ),
    file(partit1,k1_partit1),
    [interesting(0.9),axiom,file(partit1,k1_partit1)]).

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_t_1topsp,axiom,(
    $true ),
    file(t_1topsp,m1_t_1topsp),
    [interesting(0.9),axiom,file(t_1topsp,m1_t_1topsp)]).

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(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(existence_m1_eqrel_1,axiom,(
    ! [A] : 
    ? [B] : m1_eqrel_1(B,A) ),
    file(eqrel_1,m1_eqrel_1),
    [interesting(0.9),axiom,file(eqrel_1,m1_eqrel_1)]).

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(redefinition_k1_bvfunc_2,definition,(
    ! [A] : k1_bvfunc_2(A) = k1_partit1(A) ),
    file(bvfunc_2,k1_bvfunc_2),
    [interesting(0.9),axiom,file(bvfunc_2,k1_bvfunc_2)]).

fof(dt_k1_bvfunc_2,axiom,(
    ! [A] : 
      ( v1_t_1topsp(k1_bvfunc_2(A),A)
      & m1_t_1topsp(k1_bvfunc_2(A),A) ) ),
    file(bvfunc_2,k1_bvfunc_2),
    [interesting(0.9),axiom,file(bvfunc_2,k1_bvfunc_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_m1_eqrel_1,axiom,(
    ! [A,B] : 
      ( m1_eqrel_1(B,A)
     => m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A))) ) ),
    file(eqrel_1,m1_eqrel_1),
    [interesting(0.9),axiom,file(eqrel_1,m1_eqrel_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(cc1_eqrel_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_eqrel_1(B,A)
         => ~ v1_xboole_0(B) ) ) ),
    file(eqrel_1,cc1_eqrel_1),
    [interesting(0.9),axiom,file(eqrel_1,cc1_eqrel_1)]).

fof(cc2_eqrel_1,theorem,(
    ! [A,B] : 
      ( m1_eqrel_1(B,A)
     => v1_setfam_1(B) ) ),
    file(eqrel_1,cc2_eqrel_1),
    [interesting(0.9),axiom,file(eqrel_1,cc2_eqrel_1)]).

fof(fc1_subset_1,theorem,(
    ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) ),
    file(subset_1,fc1_subset_1),
    [interesting(0.9),axiom,file(subset_1,fc1_subset_1)]).

fof(rc1_subset_1,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(A))
          & ~ v1_xboole_0(B) ) ) ),
    file(subset_1,rc1_subset_1),
    [interesting(0.9),axiom,file(subset_1,rc1_subset_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_subset_1,theorem,(
    ! [A] : 
    ? [B] : 
      ( m1_subset_1(B,k1_zfmisc_1(A))
      & v1_xboole_0(B) ) ),
    file(subset_1,rc2_subset_1),
    [interesting(0.9),axiom,file(subset_1,rc2_subset_1)]).

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(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_partit1,theorem,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_eqrel_1(B,A)
        & m1_eqrel_1(C,A) )
     => k2_partit1(A,B,C) = k2_partit1(A,C,B) ) ),
    file(partit1,k2_partit1),
    [interesting(0.9),axiom,file(partit1,k2_partit1)]).

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

fof(dt_k2_bvfunc_2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A))) )
     => m1_eqrel_1(k2_bvfunc_2(A,B),A) ) ),
    file(bvfunc_2,k2_bvfunc_2),
    [interesting(0.9),axiom,file(bvfunc_2,k2_bvfunc_2)]).

fof(dt_k2_partit1,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_eqrel_1(B,A)
        & m1_eqrel_1(C,A) )
     => m1_eqrel_1(k2_partit1(A,B,C),A) ) ),
    file(partit1,k2_partit1),
    [interesting(0.9),axiom,file(partit1,k2_partit1)]).

fof(dt_c1_7__bvfunc14,assumption,(
    ~ v1_xboole_0(c1_7__bvfunc14) ),
    introduced(assumption,[file(bvfunc14,c1_7__bvfunc14)]),
    [interesting(0.8),axiom,file(bvfunc14,c1_7__bvfunc14)]).

fof(dt_c2_7__bvfunc14,assumption,(
    m1_subset_1(c2_7__bvfunc14,k1_zfmisc_1(k1_bvfunc_2(c1_7__bvfunc14))) ),
    introduced(assumption,[file(bvfunc14,c2_7__bvfunc14)]),
    [interesting(0.8),axiom,file(bvfunc14,c2_7__bvfunc14)]).

fof(dt_c3_7__bvfunc14,assumption,(
    m1_eqrel_1(c3_7__bvfunc14,c1_7__bvfunc14) ),
    introduced(assumption,[file(bvfunc14,c3_7__bvfunc14)]),
    [interesting(0.8),axiom,file(bvfunc14,c3_7__bvfunc14)]).

fof(dt_c4_7__bvfunc14,assumption,(
    m1_eqrel_1(c4_7__bvfunc14,c1_7__bvfunc14) ),
    introduced(assumption,[file(bvfunc14,c4_7__bvfunc14)]),
    [interesting(0.8),axiom,file(bvfunc14,c4_7__bvfunc14)]).

fof(dt_c5_7__bvfunc14,assumption,(
    m1_eqrel_1(c5_7__bvfunc14,c1_7__bvfunc14) ),
    introduced(assumption,[file(bvfunc14,c5_7__bvfunc14)]),
    [interesting(0.8),axiom,file(bvfunc14,c5_7__bvfunc14)]).

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(dt_c1_7_2__bvfunc14,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc14,c1_7_2__bvfunc14)]),
    [interesting(0.65),axiom,file(bvfunc14,c1_7_2__bvfunc14)]).

fof(d3_tarski,definition,(
    ! [A,B] : 
      ( r1_tarski(A,B)
    <=> ! [C] : 
          ( r2_hidden(C,A)
         => r2_hidden(C,B) ) ) ),
    file(tarski,d3_tarski),
    [interesting(0.9),axiom,file(tarski,d3_tarski)]).

fof(dh_c1_7_2__bvfunc14,definition,
    ( ~ ( r2_hidden(c1_7_2__bvfunc14,k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14))
        & ~ r2_hidden(c1_7_2__bvfunc14,k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),c5_7__bvfunc14)) )
   => ! [A] : 
        ~ ( r2_hidden(A,k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14))
          & ~ r2_hidden(A,k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),c5_7__bvfunc14)) ) ),
    introduced(definition,[new_symbol(c1_7_2__bvfunc14),file(bvfunc14,c1_7_2__bvfunc14)]),
    [interesting(0.65),axiom,file(bvfunc14,c1_7_2__bvfunc14)]).

fof(e1_7_2__bvfunc14,assumption,(
    r2_hidden(c1_7_2__bvfunc14,k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14)) ),
    introduced(assumption,[file(bvfunc14,e1_7_2__bvfunc14)]),
    [interesting(0.65),axiom,file(bvfunc14,e1_7_2__bvfunc14)]).

fof(commutativity_k3_setfam_1,theorem,(
    ! [A,B] : k3_setfam_1(A,B) = k3_setfam_1(B,A) ),
    file(setfam_1,k3_setfam_1),
    [interesting(0.9),axiom,file(setfam_1,k3_setfam_1)]).

fof(dt_k1_tarski,axiom,(
    $true ),
    file(tarski,k1_tarski),
    [interesting(0.9),axiom,file(tarski,k1_tarski)]).

fof(dt_k3_setfam_1,axiom,(
    $true ),
    file(setfam_1,k3_setfam_1),
    [interesting(0.9),axiom,file(setfam_1,k3_setfam_1)]).

fof(dt_k4_xboole_0,axiom,(
    $true ),
    file(xboole_0,k4_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k4_xboole_0)]).

fof(fc2_subset_1,theorem,(
    ! [A] : ~ v1_xboole_0(k1_tarski(A)) ),
    file(subset_1,fc2_subset_1),
    [interesting(0.9),axiom,file(subset_1,fc2_subset_1)]).

fof(t3_boole,theorem,(
    ! [A] : k4_xboole_0(A,k1_xboole_0) = A ),
    file(boole,t3_boole),
    [interesting(0.9),axiom,file(boole,t3_boole)]).

fof(t4_boole,theorem,(
    ! [A] : k4_xboole_0(k1_xboole_0,A) = k1_xboole_0 ),
    file(boole,t4_boole),
    [interesting(0.9),axiom,file(boole,t4_boole)]).

fof(t2_boole,theorem,(
    ! [A] : k3_xboole_0(A,k1_xboole_0) = k1_xboole_0 ),
    file(boole,t2_boole),
    [interesting(0.9),axiom,file(boole,t2_boole)]).

fof(commutativity_k3_xboole_0,theorem,(
    ! [A,B] : k3_xboole_0(A,B) = k3_xboole_0(B,A) ),
    file(xboole_0,k3_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k3_xboole_0)]).

fof(idempotence_k3_xboole_0,theorem,(
    ! [A,B] : k3_xboole_0(A,A) = A ),
    file(xboole_0,k3_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k3_xboole_0)]).

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_k3_xboole_0,axiom,(
    $true ),
    file(xboole_0,k3_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k3_xboole_0)]).

fof(dh_c2_7_2__bvfunc14,definition,
    ( ? [A] : 
        ( v1_relat_1(A)
        & v1_funct_1(A)
        & ? [B] : 
            ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(c1_7__bvfunc14)))
            & k1_relat_1(A) = c2_7__bvfunc14
            & k2_relat_1(A) = B
            & ! [C] : 
                ( r2_hidden(C,c2_7__bvfunc14)
               => r2_hidden(k1_funct_1(A,C),C) )
            & c1_7_2__bvfunc14 = k8_setfam_1(c1_7__bvfunc14,B)
            & c1_7_2__bvfunc14 != k1_xboole_0 ) )
   => ( v1_relat_1(c2_7_2__bvfunc14)
      & v1_funct_1(c2_7_2__bvfunc14)
      & ? [D] : 
          ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(c1_7__bvfunc14)))
          & k1_relat_1(c2_7_2__bvfunc14) = c2_7__bvfunc14
          & k2_relat_1(c2_7_2__bvfunc14) = D
          & ! [E] : 
              ( r2_hidden(E,c2_7__bvfunc14)
             => r2_hidden(k1_funct_1(c2_7_2__bvfunc14,E),E) )
          & c1_7_2__bvfunc14 = k8_setfam_1(c1_7__bvfunc14,D)
          & c1_7_2__bvfunc14 != k1_xboole_0 ) ) ),
    introduced(definition,[new_symbol(c2_7_2__bvfunc14),file(bvfunc14,c2_7_2__bvfunc14)]),
    [interesting(0.65),axiom,file(bvfunc14,c2_7_2__bvfunc14)]).

fof(dt_k1_relat_1,axiom,(
    $true ),
    file(relat_1,k1_relat_1),
    [interesting(0.9),axiom,file(relat_1,k1_relat_1)]).

fof(dt_k2_relat_1,axiom,(
    $true ),
    file(relat_1,k2_relat_1),
    [interesting(0.9),axiom,file(relat_1,k2_relat_1)]).

fof(dt_k8_setfam_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => m1_subset_1(k8_setfam_1(A,B),k1_zfmisc_1(A)) ) ),
    file(setfam_1,k8_setfam_1),
    [interesting(0.9),axiom,file(setfam_1,k8_setfam_1)]).

fof(d1_bvfunc_2,definition,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A)))
         => ! [C] : 
              ( m1_eqrel_1(C,A)
             => ( C = k2_bvfunc_2(A,B)
              <=> ! [D] : 
                    ( r2_hidden(D,C)
                  <=> ? [E] : 
                        ( v1_relat_1(E)
                        & v1_funct_1(E)
                        & ? [F] : 
                            ( m1_subset_1(F,k1_zfmisc_1(k1_zfmisc_1(A)))
                            & k1_relat_1(E) = B
                            & k2_relat_1(E) = F
                            & ! [G] : 
                                ( r2_hidden(G,B)
                               => r2_hidden(k1_funct_1(E,G),G) )
                            & D = k8_setfam_1(A,F)
                            & D != k1_xboole_0 ) ) ) ) ) ) ) ),
    file(bvfunc_2,d1_bvfunc_2),
    [interesting(0.9),axiom,file(bvfunc_2,d1_bvfunc_2)]).

fof(e2_7_2__bvfunc14,plain,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(c1_7__bvfunc14)))
          & k1_relat_1(A) = c2_7__bvfunc14
          & k2_relat_1(A) = B
          & ! [C] : 
              ( r2_hidden(C,c2_7__bvfunc14)
             => r2_hidden(k1_funct_1(A,C),C) )
          & c1_7_2__bvfunc14 = k8_setfam_1(c1_7__bvfunc14,B)
          & c1_7_2__bvfunc14 != k1_xboole_0 ) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_m1_t_1topsp,antisymmetry_r2_hidden,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_bvfunc_2,dt_k2_relat_1,dt_k8_setfam_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t1_subset,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole,e1_7_2__bvfunc14,d1_bvfunc_2]),
    [interesting(0.65),file(bvfunc14,e2_7_2__bvfunc14),[file(bvfunc14,e2_7_2__bvfunc14)]]).

fof(dt_c2_7_2__bvfunc14,plain,
    ( v1_relat_1(c2_7_2__bvfunc14)
    & v1_funct_1(c2_7_2__bvfunc14) ),
    inference(consider,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[dh_c2_7_2__bvfunc14,e2_7_2__bvfunc14]),
    [interesting(0.65),file(bvfunc14,c2_7_2__bvfunc14),[file(bvfunc14,c2_7_2__bvfunc14)]]).

fof(dh_c3_7_2__bvfunc14,definition,
    ( ? [A] : 
        ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(c1_7__bvfunc14)))
        & k1_relat_1(c2_7_2__bvfunc14) = c2_7__bvfunc14
        & k2_relat_1(c2_7_2__bvfunc14) = A
        & ! [B] : 
            ( r2_hidden(B,c2_7__bvfunc14)
           => r2_hidden(k1_funct_1(c2_7_2__bvfunc14,B),B) )
        & c1_7_2__bvfunc14 = k8_setfam_1(c1_7__bvfunc14,A)
        & c1_7_2__bvfunc14 != k1_xboole_0 )
   => ( m1_subset_1(c3_7_2__bvfunc14,k1_zfmisc_1(k1_zfmisc_1(c1_7__bvfunc14)))
      & k1_relat_1(c2_7_2__bvfunc14) = c2_7__bvfunc14
      & k2_relat_1(c2_7_2__bvfunc14) = c3_7_2__bvfunc14
      & ! [C] : 
          ( r2_hidden(C,c2_7__bvfunc14)
         => r2_hidden(k1_funct_1(c2_7_2__bvfunc14,C),C) )
      & c1_7_2__bvfunc14 = k8_setfam_1(c1_7__bvfunc14,c3_7_2__bvfunc14)
      & c1_7_2__bvfunc14 != k1_xboole_0 ) ),
    introduced(definition,[new_symbol(c3_7_2__bvfunc14),file(bvfunc14,c3_7_2__bvfunc14)]),
    [interesting(0.65),axiom,file(bvfunc14,c3_7_2__bvfunc14)]).

fof(dt_c3_7_2__bvfunc14,plain,(
    m1_subset_1(c3_7_2__bvfunc14,k1_zfmisc_1(k1_zfmisc_1(c1_7__bvfunc14))) ),
    inference(consider,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[dh_c2_7_2__bvfunc14,dh_c3_7_2__bvfunc14,e2_7_2__bvfunc14]),
    [interesting(0.65),file(bvfunc14,c3_7_2__bvfunc14),[file(bvfunc14,c3_7_2__bvfunc14)]]).

fof(dt_k1_enumset1,axiom,(
    $true ),
    file(enumset1,k1_enumset1),
    [interesting(0.9),axiom,file(enumset1,k1_enumset1)]).

fof(d1_enumset1,definition,(
    ! [A,B,C,D] : 
      ( D = k1_enumset1(A,B,C)
    <=> ! [E] : 
          ( r2_hidden(E,D)
        <=> ~ ( E != A
              & E != B
              & E != C ) ) ) ),
    file(enumset1,d1_enumset1),
    [interesting(0.9),axiom,file(enumset1,d1_enumset1)]).

fof(e4_7_2__bvfunc14,plain,
    ( r2_hidden(c3_7__bvfunc14,c2_7__bvfunc14)
    & r2_hidden(c4_7__bvfunc14,c2_7__bvfunc14)
    & r2_hidden(c5_7__bvfunc14,c2_7__bvfunc14) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c2_7__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_enumset1,dt_c2_7__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,t1_subset,t7_boole,e1_7__bvfunc14,d1_enumset1]),
    [interesting(0.65),file(bvfunc14,e4_7_2__bvfunc14),[file(bvfunc14,e4_7_2__bvfunc14)]]).

fof(e3_7_2__bvfunc14,plain,
    ( k1_relat_1(c2_7_2__bvfunc14) = c2_7__bvfunc14
    & k2_relat_1(c2_7_2__bvfunc14) = c3_7_2__bvfunc14
    & ! [A] : 
        ( r2_hidden(A,c2_7__bvfunc14)
       => r2_hidden(k1_funct_1(c2_7_2__bvfunc14,A),A) )
    & c1_7_2__bvfunc14 = k8_setfam_1(c1_7__bvfunc14,c3_7_2__bvfunc14)
    & c1_7_2__bvfunc14 != k1_xboole_0 ),
    inference(consider,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[dh_c2_7_2__bvfunc14,dh_c3_7_2__bvfunc14,e2_7_2__bvfunc14]),
    [interesting(0.65),file(bvfunc14,e3_7_2__bvfunc14),[file(bvfunc14,e3_7_2__bvfunc14)]]).

fof(e5_7_2__bvfunc14,plain,
    ( r2_hidden(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),c3_7__bvfunc14)
    & r2_hidden(k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14),c4_7__bvfunc14)
    & r2_hidden(k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14),c5_7__bvfunc14) ),
    inference(mizar_by,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_m1_t_1topsp,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t8_boole,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_relat_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k8_setfam_1,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_2__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e4_7_2__bvfunc14,e3_7_2__bvfunc14]),
    [interesting(0.65),file(bvfunc14,e5_7_2__bvfunc14),[file(bvfunc14,e5_7_2__bvfunc14)]]).

fof(d5_setfam_1,definition,(
    ! [A,B,C] : 
      ( C = k3_setfam_1(A,B)
    <=> ! [D] : 
          ( r2_hidden(D,C)
        <=> ? [E,F] : 
              ( r2_hidden(E,A)
              & r2_hidden(F,B)
              & D = k3_xboole_0(E,F) ) ) ) ),
    file(setfam_1,d5_setfam_1),
    [interesting(0.9),axiom,file(setfam_1,d5_setfam_1)]).

fof(e14_7_2__bvfunc14,plain,(
    r2_hidden(k3_xboole_0(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)),k3_setfam_1(c3_7__bvfunc14,c4_7__bvfunc14)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k3_setfam_1,dt_k3_xboole_0,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,t1_subset,t7_boole,e5_7_2__bvfunc14,d5_setfam_1]),
    [interesting(0.65),file(bvfunc14,e14_7_2__bvfunc14),[file(bvfunc14,e14_7_2__bvfunc14)]]).

fof(dt_c1_7_2_1__bvfunc14,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc14,c1_7_2_1__bvfunc14)]),
    [interesting(0.5),axiom,file(bvfunc14,c1_7_2_1__bvfunc14)]).

fof(dh_c1_7_2_1__bvfunc14,definition,
    ( ~ ( r2_hidden(c1_7_2_1__bvfunc14,k3_xboole_0(k3_xboole_0(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14)))
        & ~ r2_hidden(c1_7_2_1__bvfunc14,c1_7_2__bvfunc14) )
   => ! [A] : 
        ~ ( r2_hidden(A,k3_xboole_0(k3_xboole_0(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14)))
          & ~ r2_hidden(A,c1_7_2__bvfunc14) ) ),
    introduced(definition,[new_symbol(c1_7_2_1__bvfunc14),file(bvfunc14,c1_7_2_1__bvfunc14)]),
    [interesting(0.5),axiom,file(bvfunc14,c1_7_2_1__bvfunc14)]).

fof(e1_7_2_1__bvfunc14,assumption,(
    r2_hidden(c1_7_2_1__bvfunc14,k3_xboole_0(k3_xboole_0(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ),
    introduced(assumption,[file(bvfunc14,e1_7_2_1__bvfunc14)]),
    [interesting(0.5),axiom,file(bvfunc14,e1_7_2_1__bvfunc14)]).

fof(redefinition_k6_setfam_1,definition,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => k6_setfam_1(A,B) = k1_setfam_1(B) ) ),
    file(setfam_1,k6_setfam_1),
    [interesting(0.9),axiom,file(setfam_1,k6_setfam_1)]).

fof(dt_k1_setfam_1,axiom,(
    $true ),
    file(setfam_1,k1_setfam_1),
    [interesting(0.9),axiom,file(setfam_1,k1_setfam_1)]).

fof(dt_k6_setfam_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => m1_subset_1(k6_setfam_1(A,B),k1_zfmisc_1(A)) ) ),
    file(setfam_1,k6_setfam_1),
    [interesting(0.9),axiom,file(setfam_1,k6_setfam_1)]).

fof(dh_c1_7_2_1_2__bvfunc14,definition,
    ( ( r2_hidden(c1_7_2_1_2__bvfunc14,k2_relat_1(c2_7_2__bvfunc14))
     => r2_hidden(c1_7_2_1__bvfunc14,c1_7_2_1_2__bvfunc14) )
   => ! [A] : 
        ( r2_hidden(A,k2_relat_1(c2_7_2__bvfunc14))
       => r2_hidden(c1_7_2_1__bvfunc14,A) ) ),
    introduced(definition,[new_symbol(c1_7_2_1_2__bvfunc14),file(bvfunc14,c1_7_2_1_2__bvfunc14)]),
    [interesting(0.35),axiom,file(bvfunc14,c1_7_2_1_2__bvfunc14)]).

fof(e1_7_2_1_2__bvfunc14,assumption,(
    r2_hidden(c1_7_2_1_2__bvfunc14,k2_relat_1(c2_7_2__bvfunc14)) ),
    introduced(assumption,[file(bvfunc14,e1_7_2_1_2__bvfunc14)]),
    [interesting(0.35),axiom,file(bvfunc14,e1_7_2_1_2__bvfunc14)]).

fof(dt_c1_7_2_1_2__bvfunc14,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc14,c1_7_2_1_2__bvfunc14)]),
    [interesting(0.35),axiom,file(bvfunc14,c1_7_2_1_2__bvfunc14)]).

fof(e1_7_2_1_2_1_1_1__bvfunc14,assumption,(
    c1_7_2_1_2__bvfunc14 = k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14) ),
    introduced(assumption,[file(bvfunc14,e1_7_2_1_2_1_1_1__bvfunc14)]),
    [interesting(0.02),axiom,file(bvfunc14,e1_7_2_1_2_1_1_1__bvfunc14)]).

fof(d3_xboole_0,definition,(
    ! [A,B,C] : 
      ( C = k3_xboole_0(A,B)
    <=> ! [D] : 
          ( r2_hidden(D,C)
        <=> ( r2_hidden(D,A)
            & r2_hidden(D,B) ) ) ) ),
    file(xboole_0,d3_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,d3_xboole_0)]).

fof(e2_7_2_1__bvfunc14,plain,
    ( r2_hidden(c1_7_2_1__bvfunc14,k3_xboole_0(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)))
    & r2_hidden(c1_7_2_1__bvfunc14,k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_2_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_2_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k3_xboole_0,dt_c1_7_2_1__bvfunc14,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,t1_subset,t7_boole,e1_7_2_1__bvfunc14,d3_xboole_0]),
    [interesting(0.5),file(bvfunc14,e2_7_2_1__bvfunc14),[file(bvfunc14,e2_7_2_1__bvfunc14)]]).

fof(e2_7_2_1_2_1_1_1__bvfunc14,plain,(
    r2_hidden(c1_7_2_1__bvfunc14,c1_7_2_1_2__bvfunc14) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_2_1_2__bvfunc14,e1_7_2_1_2_1_1_1__bvfunc14,dt_c1_7_2_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_2_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k3_xboole_0,dt_c1_7_2_1__bvfunc14,dt_c1_7_2_1_2__bvfunc14,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,t1_subset,t7_boole,e1_7_2_1_2_1_1_1__bvfunc14,e2_7_2_1__bvfunc14,d3_xboole_0]),
    [interesting(0.02),file(bvfunc14,e2_7_2_1_2_1_1_1__bvfunc14),[file(bvfunc14,e2_7_2_1_2_1_1_1__bvfunc14)]]).

fof(i2_7_2_1_2_1_1_1__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i2_7_2_1_2_1_1_1__bvfunc14)]),
    [interesting(0.02),trivial,file(bvfunc14,i2_7_2_1_2_1_1_1__bvfunc14)]).

fof(i1_7_2_1_2_1_1_1__bvfunc14,plain,(
    r2_hidden(c1_7_2_1__bvfunc14,c1_7_2_1_2__bvfunc14) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_7_2_1_2__bvfunc14,e1_7_2_1_2_1_1_1__bvfunc14,dt_c1_7_2_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_2_1__bvfunc14])],[e2_7_2_1_2_1_1_1__bvfunc14,i2_7_2_1_2_1_1_1__bvfunc14]),
    [interesting(0.02),file(bvfunc14,i1_7_2_1_2_1_1_1__bvfunc14),[file(bvfunc14,i1_7_2_1_2_1_1_1__bvfunc14)]]).

fof(i1_7_2_1_2_1_1__bvfunc14,plain,
    ( c1_7_2_1_2__bvfunc14 = k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14)
   => ( c1_7_2_1_2__bvfunc14 = k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14)
      & r2_hidden(c1_7_2_1__bvfunc14,c1_7_2_1_2__bvfunc14) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7_2_1_2__bvfunc14,dt_c1_7_2_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_2_1__bvfunc14]),discharge_asm(discharge,[e1_7_2_1_2_1_1_1__bvfunc14])],[e1_7_2_1_2_1_1_1__bvfunc14,i1_7_2_1_2_1_1_1__bvfunc14]),
    [interesting(0.05),file(bvfunc14,i1_7_2_1_2_1_1__bvfunc14),[file(bvfunc14,i1_7_2_1_2_1_1__bvfunc14)]]).

fof(e1_7_2_1_2_1_1_2__bvfunc14,assumption,(
    c1_7_2_1_2__bvfunc14 = k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14) ),
    introduced(assumption,[file(bvfunc14,e1_7_2_1_2_1_1_2__bvfunc14)]),
    [interesting(0.02),axiom,file(bvfunc14,e1_7_2_1_2_1_1_2__bvfunc14)]).

fof(e2_7_2_1_2_1_1_2__bvfunc14,plain,(
    r2_hidden(c1_7_2_1__bvfunc14,c1_7_2_1_2__bvfunc14) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_2_1_2__bvfunc14,e1_7_2_1_2_1_1_2__bvfunc14,dt_c1_7_2_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_2_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k3_xboole_0,dt_c1_7_2_1__bvfunc14,dt_c1_7_2_1_2__bvfunc14,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,t1_subset,t7_boole,e1_7_2_1_2_1_1_2__bvfunc14,e2_7_2_1__bvfunc14,d3_xboole_0]),
    [interesting(0.02),file(bvfunc14,e2_7_2_1_2_1_1_2__bvfunc14),[file(bvfunc14,e2_7_2_1_2_1_1_2__bvfunc14)]]).

fof(i2_7_2_1_2_1_1_2__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i2_7_2_1_2_1_1_2__bvfunc14)]),
    [interesting(0.02),trivial,file(bvfunc14,i2_7_2_1_2_1_1_2__bvfunc14)]).

fof(i1_7_2_1_2_1_1_2__bvfunc14,plain,(
    r2_hidden(c1_7_2_1__bvfunc14,c1_7_2_1_2__bvfunc14) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_7_2_1_2__bvfunc14,e1_7_2_1_2_1_1_2__bvfunc14,dt_c1_7_2_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_2_1__bvfunc14])],[e2_7_2_1_2_1_1_2__bvfunc14,i2_7_2_1_2_1_1_2__bvfunc14]),
    [interesting(0.02),file(bvfunc14,i1_7_2_1_2_1_1_2__bvfunc14),[file(bvfunc14,i1_7_2_1_2_1_1_2__bvfunc14)]]).

fof(i2_7_2_1_2_1_1__bvfunc14,plain,
    ( c1_7_2_1_2__bvfunc14 = k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)
   => ( c1_7_2_1_2__bvfunc14 = k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)
      & r2_hidden(c1_7_2_1__bvfunc14,c1_7_2_1_2__bvfunc14) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7_2_1_2__bvfunc14,dt_c1_7_2_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_2_1__bvfunc14]),discharge_asm(discharge,[e1_7_2_1_2_1_1_2__bvfunc14])],[e1_7_2_1_2_1_1_2__bvfunc14,i1_7_2_1_2_1_1_2__bvfunc14]),
    [interesting(0.05),file(bvfunc14,i2_7_2_1_2_1_1__bvfunc14),[file(bvfunc14,i2_7_2_1_2_1_1__bvfunc14)]]).

fof(e1_7_2_1_2_1_1_3__bvfunc14,assumption,(
    c1_7_2_1_2__bvfunc14 = k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14) ),
    introduced(assumption,[file(bvfunc14,e1_7_2_1_2_1_1_3__bvfunc14)]),
    [interesting(0.02),axiom,file(bvfunc14,e1_7_2_1_2_1_1_3__bvfunc14)]).

fof(e2_7_2_1_2_1_1_3__bvfunc14,plain,(
    r2_hidden(c1_7_2_1__bvfunc14,c1_7_2_1_2__bvfunc14) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_2_1__bvfunc14,dt_c1_7_2_1_2__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_2_1_2_1_1_3__bvfunc14,e1_7_2_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k3_xboole_0,dt_c1_7_2_1__bvfunc14,dt_c1_7_2_1_2__bvfunc14,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,t1_subset,t7_boole,e1_7_2_1_2_1_1_3__bvfunc14,e1_7_2_1__bvfunc14,d3_xboole_0]),
    [interesting(0.02),file(bvfunc14,e2_7_2_1_2_1_1_3__bvfunc14),[file(bvfunc14,e2_7_2_1_2_1_1_3__bvfunc14)]]).

fof(i2_7_2_1_2_1_1_3__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i2_7_2_1_2_1_1_3__bvfunc14)]),
    [interesting(0.02),trivial,file(bvfunc14,i2_7_2_1_2_1_1_3__bvfunc14)]).

fof(i1_7_2_1_2_1_1_3__bvfunc14,plain,(
    r2_hidden(c1_7_2_1__bvfunc14,c1_7_2_1_2__bvfunc14) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_7_2_1__bvfunc14,dt_c1_7_2_1_2__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_2_1_2_1_1_3__bvfunc14,e1_7_2_1__bvfunc14])],[e2_7_2_1_2_1_1_3__bvfunc14,i2_7_2_1_2_1_1_3__bvfunc14]),
    [interesting(0.02),file(bvfunc14,i1_7_2_1_2_1_1_3__bvfunc14),[file(bvfunc14,i1_7_2_1_2_1_1_3__bvfunc14)]]).

fof(i3_7_2_1_2_1_1__bvfunc14,plain,
    ( c1_7_2_1_2__bvfunc14 = k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14)
   => ( c1_7_2_1_2__bvfunc14 = k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14)
      & r2_hidden(c1_7_2_1__bvfunc14,c1_7_2_1_2__bvfunc14) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7_2_1__bvfunc14,dt_c1_7_2_1_2__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_2_1__bvfunc14]),discharge_asm(discharge,[e1_7_2_1_2_1_1_3__bvfunc14])],[e1_7_2_1_2_1_1_3__bvfunc14,i1_7_2_1_2_1_1_3__bvfunc14]),
    [interesting(0.05),file(bvfunc14,i3_7_2_1_2_1_1__bvfunc14),[file(bvfunc14,i3_7_2_1_2_1_1__bvfunc14)]]).

fof(dt_c1_7_2_1_1__bvfunc14,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc14,c1_7_2_1_1__bvfunc14)]),
    [interesting(0.35),axiom,file(bvfunc14,c1_7_2_1_1__bvfunc14)]).

fof(dh_c1_7_2_1_1__bvfunc14,definition,
    ( ~ ( r2_hidden(c1_7_2_1_1__bvfunc14,k2_relat_1(c2_7_2__bvfunc14))
        & ~ r2_hidden(c1_7_2_1_1__bvfunc14,k1_enumset1(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) )
   => ! [A] : 
        ~ ( r2_hidden(A,k2_relat_1(c2_7_2__bvfunc14))
          & ~ r2_hidden(A,k1_enumset1(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ) ),
    introduced(definition,[new_symbol(c1_7_2_1_1__bvfunc14),file(bvfunc14,c1_7_2_1_1__bvfunc14)]),
    [interesting(0.35),axiom,file(bvfunc14,c1_7_2_1_1__bvfunc14)]).

fof(e1_7_2_1_1__bvfunc14,assumption,(
    r2_hidden(c1_7_2_1_1__bvfunc14,k2_relat_1(c2_7_2__bvfunc14)) ),
    introduced(assumption,[file(bvfunc14,e1_7_2_1_1__bvfunc14)]),
    [interesting(0.35),axiom,file(bvfunc14,e1_7_2_1_1__bvfunc14)]).

fof(dh_c2_7_2_1_1__bvfunc14,definition,
    ( ? [A] : 
        ( r2_hidden(A,k1_relat_1(c2_7_2__bvfunc14))
        & c1_7_2_1_1__bvfunc14 = k1_funct_1(c2_7_2__bvfunc14,A) )
   => ( r2_hidden(c2_7_2_1_1__bvfunc14,k1_relat_1(c2_7_2__bvfunc14))
      & c1_7_2_1_1__bvfunc14 = k1_funct_1(c2_7_2__bvfunc14,c2_7_2_1_1__bvfunc14) ) ),
    introduced(definition,[new_symbol(c2_7_2_1_1__bvfunc14),file(bvfunc14,c2_7_2_1_1__bvfunc14)]),
    [interesting(0.35),axiom,file(bvfunc14,c2_7_2_1_1__bvfunc14)]).

fof(d5_funct_1,definition,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B] : 
          ( B = k2_relat_1(A)
        <=> ! [C] : 
              ( r2_hidden(C,B)
            <=> ? [D] : 
                  ( r2_hidden(D,k1_relat_1(A))
                  & C = k1_funct_1(A,D) ) ) ) ) ),
    file(funct_1,d5_funct_1),
    [interesting(0.9),axiom,file(funct_1,d5_funct_1)]).

fof(e2_7_2_1_1__bvfunc14,plain,(
    ? [A] : 
      ( r2_hidden(A,k1_relat_1(c2_7_2__bvfunc14))
      & c1_7_2_1_1__bvfunc14 = k1_funct_1(c2_7_2__bvfunc14,A) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_2_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,e1_7_2_1_1__bvfunc14])],[dt_k1_xboole_0,fc1_xboole_0,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_relat_1,dt_k2_relat_1,dt_c1_7_2_1_1__bvfunc14,dt_c2_7_2__bvfunc14,t1_subset,t7_boole,e1_7_2_1_1__bvfunc14,d5_funct_1]),
    [interesting(0.35),file(bvfunc14,e2_7_2_1_1__bvfunc14),[file(bvfunc14,e2_7_2_1_1__bvfunc14)]]).

fof(dt_c2_7_2_1_1__bvfunc14,plain,(
    $true ),
    inference(consider,[status(thm),assumptions([dt_c1_7_2_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,e1_7_2_1_1__bvfunc14])],[dh_c2_7_2_1_1__bvfunc14,e2_7_2_1_1__bvfunc14]),
    [interesting(0.35),file(bvfunc14,c2_7_2_1_1__bvfunc14),[file(bvfunc14,c2_7_2_1_1__bvfunc14)]]).

fof(e1_7_2_1_1_1_1_1__bvfunc14,assumption,(
    c2_7_2_1_1__bvfunc14 = c3_7__bvfunc14 ),
    introduced(assumption,[file(bvfunc14,e1_7_2_1_1_1_1_1__bvfunc14)]),
    [interesting(0.02),axiom,file(bvfunc14,e1_7_2_1_1_1_1_1__bvfunc14)]).

fof(e3_7_2_1_1__bvfunc14,plain,
    ( r2_hidden(c2_7_2_1_1__bvfunc14,k1_relat_1(c2_7_2__bvfunc14))
    & c1_7_2_1_1__bvfunc14 = k1_funct_1(c2_7_2__bvfunc14,c2_7_2_1_1__bvfunc14) ),
    inference(consider,[status(thm),assumptions([dt_c1_7_2_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,e1_7_2_1_1__bvfunc14])],[dh_c2_7_2_1_1__bvfunc14,e2_7_2_1_1__bvfunc14]),
    [interesting(0.35),file(bvfunc14,e3_7_2_1_1__bvfunc14),[file(bvfunc14,e3_7_2_1_1__bvfunc14)]]).

fof(e2_7_2_1_1_1_1_1__bvfunc14,plain,(
    r2_hidden(c1_7_2_1_1__bvfunc14,k1_enumset1(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_2_1_1_1_1_1__bvfunc14,dt_c1_7_2_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,e1_7_2_1_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_funct_1,dt_k1_relat_1,dt_c1_7_2_1_1__bvfunc14,dt_c2_7_2__bvfunc14,dt_c2_7_2_1_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,t1_subset,t7_boole,e1_7_2_1_1_1_1_1__bvfunc14,e3_7_2_1_1__bvfunc14,d1_enumset1]),
    [interesting(0.02),file(bvfunc14,e2_7_2_1_1_1_1_1__bvfunc14),[file(bvfunc14,e2_7_2_1_1_1_1_1__bvfunc14)]]).

fof(i2_7_2_1_1_1_1_1__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i2_7_2_1_1_1_1_1__bvfunc14)]),
    [interesting(0.02),trivial,file(bvfunc14,i2_7_2_1_1_1_1_1__bvfunc14)]).

fof(i1_7_2_1_1_1_1_1__bvfunc14,plain,(
    r2_hidden(c1_7_2_1_1__bvfunc14,k1_enumset1(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ),
    inference(conclusion,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_2_1_1_1_1_1__bvfunc14,dt_c1_7_2_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,e1_7_2_1_1__bvfunc14])],[e2_7_2_1_1_1_1_1__bvfunc14,i2_7_2_1_1_1_1_1__bvfunc14]),
    [interesting(0.02),file(bvfunc14,i1_7_2_1_1_1_1_1__bvfunc14),[file(bvfunc14,i1_7_2_1_1_1_1_1__bvfunc14)]]).

fof(i1_7_2_1_1_1_1__bvfunc14,plain,
    ( c2_7_2_1_1__bvfunc14 = c3_7__bvfunc14
   => ( c2_7_2_1_1__bvfunc14 = c3_7__bvfunc14
      & r2_hidden(c1_7_2_1_1__bvfunc14,k1_enumset1(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,dt_c1_7_2_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,e1_7_2_1_1__bvfunc14]),discharge_asm(discharge,[e1_7_2_1_1_1_1_1__bvfunc14])],[e1_7_2_1_1_1_1_1__bvfunc14,i1_7_2_1_1_1_1_1__bvfunc14]),
    [interesting(0.05),file(bvfunc14,i1_7_2_1_1_1_1__bvfunc14),[file(bvfunc14,i1_7_2_1_1_1_1__bvfunc14)]]).

fof(e1_7_2_1_1_1_1_2__bvfunc14,assumption,(
    c2_7_2_1_1__bvfunc14 = c4_7__bvfunc14 ),
    introduced(assumption,[file(bvfunc14,e1_7_2_1_1_1_1_2__bvfunc14)]),
    [interesting(0.02),axiom,file(bvfunc14,e1_7_2_1_1_1_1_2__bvfunc14)]).

fof(e2_7_2_1_1_1_1_2__bvfunc14,plain,(
    r2_hidden(c1_7_2_1_1__bvfunc14,k1_enumset1(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_2_1_1_1_1_2__bvfunc14,dt_c1_7_2_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,e1_7_2_1_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_funct_1,dt_k1_relat_1,dt_c1_7_2_1_1__bvfunc14,dt_c2_7_2__bvfunc14,dt_c2_7_2_1_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,t1_subset,t7_boole,e1_7_2_1_1_1_1_2__bvfunc14,e3_7_2_1_1__bvfunc14,d1_enumset1]),
    [interesting(0.02),file(bvfunc14,e2_7_2_1_1_1_1_2__bvfunc14),[file(bvfunc14,e2_7_2_1_1_1_1_2__bvfunc14)]]).

fof(i2_7_2_1_1_1_1_2__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i2_7_2_1_1_1_1_2__bvfunc14)]),
    [interesting(0.02),trivial,file(bvfunc14,i2_7_2_1_1_1_1_2__bvfunc14)]).

fof(i1_7_2_1_1_1_1_2__bvfunc14,plain,(
    r2_hidden(c1_7_2_1_1__bvfunc14,k1_enumset1(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ),
    inference(conclusion,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_2_1_1_1_1_2__bvfunc14,dt_c1_7_2_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,e1_7_2_1_1__bvfunc14])],[e2_7_2_1_1_1_1_2__bvfunc14,i2_7_2_1_1_1_1_2__bvfunc14]),
    [interesting(0.02),file(bvfunc14,i1_7_2_1_1_1_1_2__bvfunc14),[file(bvfunc14,i1_7_2_1_1_1_1_2__bvfunc14)]]).

fof(i2_7_2_1_1_1_1__bvfunc14,plain,
    ( c2_7_2_1_1__bvfunc14 = c4_7__bvfunc14
   => ( c2_7_2_1_1__bvfunc14 = c4_7__bvfunc14
      & r2_hidden(c1_7_2_1_1__bvfunc14,k1_enumset1(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,dt_c1_7_2_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,e1_7_2_1_1__bvfunc14]),discharge_asm(discharge,[e1_7_2_1_1_1_1_2__bvfunc14])],[e1_7_2_1_1_1_1_2__bvfunc14,i1_7_2_1_1_1_1_2__bvfunc14]),
    [interesting(0.05),file(bvfunc14,i2_7_2_1_1_1_1__bvfunc14),[file(bvfunc14,i2_7_2_1_1_1_1__bvfunc14)]]).

fof(e1_7_2_1_1_1_1_3__bvfunc14,assumption,(
    c2_7_2_1_1__bvfunc14 = c5_7__bvfunc14 ),
    introduced(assumption,[file(bvfunc14,e1_7_2_1_1_1_1_3__bvfunc14)]),
    [interesting(0.02),axiom,file(bvfunc14,e1_7_2_1_1_1_1_3__bvfunc14)]).

fof(e2_7_2_1_1_1_1_3__bvfunc14,plain,(
    r2_hidden(c1_7_2_1_1__bvfunc14,k1_enumset1(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_2_1_1_1_1_3__bvfunc14,dt_c1_7_2_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,e1_7_2_1_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_funct_1,dt_k1_relat_1,dt_c1_7_2_1_1__bvfunc14,dt_c2_7_2__bvfunc14,dt_c2_7_2_1_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,t1_subset,t7_boole,e1_7_2_1_1_1_1_3__bvfunc14,e3_7_2_1_1__bvfunc14,d1_enumset1]),
    [interesting(0.02),file(bvfunc14,e2_7_2_1_1_1_1_3__bvfunc14),[file(bvfunc14,e2_7_2_1_1_1_1_3__bvfunc14)]]).

fof(i2_7_2_1_1_1_1_3__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i2_7_2_1_1_1_1_3__bvfunc14)]),
    [interesting(0.02),trivial,file(bvfunc14,i2_7_2_1_1_1_1_3__bvfunc14)]).

fof(i1_7_2_1_1_1_1_3__bvfunc14,plain,(
    r2_hidden(c1_7_2_1_1__bvfunc14,k1_enumset1(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ),
    inference(conclusion,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_2_1_1_1_1_3__bvfunc14,dt_c1_7_2_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,e1_7_2_1_1__bvfunc14])],[e2_7_2_1_1_1_1_3__bvfunc14,i2_7_2_1_1_1_1_3__bvfunc14]),
    [interesting(0.02),file(bvfunc14,i1_7_2_1_1_1_1_3__bvfunc14),[file(bvfunc14,i1_7_2_1_1_1_1_3__bvfunc14)]]).

fof(i3_7_2_1_1_1_1__bvfunc14,plain,
    ( c2_7_2_1_1__bvfunc14 = c5_7__bvfunc14
   => ( c2_7_2_1_1__bvfunc14 = c5_7__bvfunc14
      & r2_hidden(c1_7_2_1_1__bvfunc14,k1_enumset1(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,dt_c1_7_2_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,e1_7_2_1_1__bvfunc14]),discharge_asm(discharge,[e1_7_2_1_1_1_1_3__bvfunc14])],[e1_7_2_1_1_1_1_3__bvfunc14,i1_7_2_1_1_1_1_3__bvfunc14]),
    [interesting(0.05),file(bvfunc14,i3_7_2_1_1_1_1__bvfunc14),[file(bvfunc14,i3_7_2_1_1_1_1__bvfunc14)]]).

fof(e1_7_2_1_1_1_1__bvfunc14,plain,(
    ~ ( c2_7_2_1_1__bvfunc14 != c3_7__bvfunc14
      & c2_7_2_1_1__bvfunc14 != c4_7__bvfunc14
      & c2_7_2_1_1__bvfunc14 != c5_7__bvfunc14 ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7_2_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,e1_7_2_1_1__bvfunc14])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_m1_t_1topsp,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t8_boole,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_funct_1,dt_k1_relat_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k8_setfam_1,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c1_7_2_1_1__bvfunc14,dt_c2_7__bvfunc14,dt_c2_7_2__bvfunc14,dt_c2_7_2_1_1__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_2__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e1_7__bvfunc14,e3_7_2__bvfunc14,e3_7_2_1_1__bvfunc14,d1_enumset1]),
    [interesting(0.05),file(bvfunc14,e1_7_2_1_1_1_1__bvfunc14),[file(bvfunc14,e1_7_2_1_1_1_1__bvfunc14)]]).

fof(e4_7_2_1_1__bvfunc14,plain,(
    ~ ( ~ ( c2_7_2_1_1__bvfunc14 = c3_7__bvfunc14
          & r2_hidden(c1_7_2_1_1__bvfunc14,k1_enumset1(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) )
      & ~ ( c2_7_2_1_1__bvfunc14 = c4_7__bvfunc14
          & r2_hidden(c1_7_2_1_1__bvfunc14,k1_enumset1(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) )
      & ~ ( c2_7_2_1_1__bvfunc14 = c5_7__bvfunc14
          & r2_hidden(c1_7_2_1_1__bvfunc14,k1_enumset1(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ) ) ),
    inference(percases,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7_2_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,e1_7_2_1_1__bvfunc14])],[i1_7_2_1_1_1_1__bvfunc14,i2_7_2_1_1_1_1__bvfunc14,i3_7_2_1_1_1_1__bvfunc14,e1_7_2_1_1_1_1__bvfunc14]),
    [interesting(0.35),file(bvfunc14,e4_7_2_1_1__bvfunc14),[file(bvfunc14,e4_7_2_1_1__bvfunc14)]]).

fof(e5_7_2_1_1__bvfunc14,plain,(
    r2_hidden(c1_7_2_1_1__bvfunc14,k1_enumset1(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7_2_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,e1_7_2_1_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_funct_1,dt_c1_7_2_1_1__bvfunc14,dt_c2_7_2__bvfunc14,dt_c2_7_2_1_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,t1_subset,t7_boole,e4_7_2_1_1__bvfunc14]),
    [interesting(0.35),file(bvfunc14,e5_7_2_1_1__bvfunc14),[file(bvfunc14,e5_7_2_1_1__bvfunc14)]]).

fof(i3_7_2_1_1__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i3_7_2_1_1__bvfunc14)]),
    [interesting(0.35),trivial,file(bvfunc14,i3_7_2_1_1__bvfunc14)]).

fof(i2_7_2_1_1__bvfunc14,plain,(
    r2_hidden(c1_7_2_1_1__bvfunc14,k1_enumset1(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ),
    inference(conclusion,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7_2_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,e1_7_2_1_1__bvfunc14])],[e5_7_2_1_1__bvfunc14,i3_7_2_1_1__bvfunc14]),
    [interesting(0.35),file(bvfunc14,i2_7_2_1_1__bvfunc14),[file(bvfunc14,i2_7_2_1_1__bvfunc14)]]).

fof(i1_7_2_1_1__bvfunc14,plain,(
    ~ ( r2_hidden(c1_7_2_1_1__bvfunc14,k2_relat_1(c2_7_2__bvfunc14))
      & ~ r2_hidden(c1_7_2_1_1__bvfunc14,k1_enumset1(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7_2_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14]),discharge_asm(discharge,[e1_7_2_1_1__bvfunc14])],[e1_7_2_1_1__bvfunc14,i2_7_2_1_1__bvfunc14]),
    [interesting(0.35),file(bvfunc14,i1_7_2_1_1__bvfunc14),[file(bvfunc14,i1_7_2_1_1__bvfunc14)]]).

fof(i1_7_2_1_1_tmp__bvfunc14,plain,(
    ~ ( r2_hidden(c1_7_2_1_1__bvfunc14,k2_relat_1(c2_7_2__bvfunc14))
      & ~ r2_hidden(c1_7_2_1_1__bvfunc14,k1_enumset1(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14]),discharge_asm(discharge,[dt_c1_7_2_1_1__bvfunc14])],[dt_c1_7_2_1_1__bvfunc14,i1_7_2_1_1__bvfunc14]),
    [interesting(0.5),e3_7_2_1__bvfunc14]).

fof(e3_7_2_1__bvfunc14,plain,(
    r1_tarski(k2_relat_1(c2_7_2__bvfunc14),k1_enumset1(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ),
    inference(let,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[i1_7_2_1_1_tmp__bvfunc14,dt_k1_zfmisc_1,dt_m1_subset_1,cc1_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,dt_m1_eqrel_1,dt_c1_7__bvfunc14,cc2_eqrel_1,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_funct_1,dt_k2_relat_1,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,d3_tarski,dh_c1_7_2_1_1__bvfunc14]),
    [interesting(0.5),file(bvfunc14,e3_7_2_1__bvfunc14),[file(bvfunc14,e3_7_2_1__bvfunc14)]]).

fof(e1_7_2_1_2_1_1__bvfunc14,plain,(
    ~ ( c1_7_2_1_2__bvfunc14 != k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14)
      & c1_7_2_1_2__bvfunc14 != k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)
      & c1_7_2_1_2__bvfunc14 != k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_2_1_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,e1_7_2_1_2__bvfunc14])],[dt_k1_xboole_0,fc1_xboole_0,existence_m1_eqrel_1,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t4_subset,t5_subset,t6_boole,t8_boole,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_funct_1,dt_k2_relat_1,dt_c1_7_2_1_2__bvfunc14,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,t1_subset,t3_subset,t7_boole,e3_7_2_1__bvfunc14,e1_7_2_1_2__bvfunc14,d1_enumset1]),
    [interesting(0.05),file(bvfunc14,e1_7_2_1_2_1_1__bvfunc14),[file(bvfunc14,e1_7_2_1_2_1_1__bvfunc14)]]).

fof(e2_7_2_1_2__bvfunc14,plain,(
    ~ ( ~ ( c1_7_2_1_2__bvfunc14 = k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14)
          & r2_hidden(c1_7_2_1__bvfunc14,c1_7_2_1_2__bvfunc14) )
      & ~ ( c1_7_2_1_2__bvfunc14 = k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)
          & r2_hidden(c1_7_2_1__bvfunc14,c1_7_2_1_2__bvfunc14) )
      & ~ ( c1_7_2_1_2__bvfunc14 = k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14)
          & r2_hidden(c1_7_2_1__bvfunc14,c1_7_2_1_2__bvfunc14) ) ) ),
    inference(percases,[status(thm),assumptions([dt_c1_7_2_1__bvfunc14,e1_7_2_1__bvfunc14,dt_c1_7_2_1_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,e1_7_2_1_2__bvfunc14])],[i1_7_2_1_2_1_1__bvfunc14,i2_7_2_1_2_1_1__bvfunc14,i3_7_2_1_2_1_1__bvfunc14,e1_7_2_1_2_1_1__bvfunc14]),
    [interesting(0.35),file(bvfunc14,e2_7_2_1_2__bvfunc14),[file(bvfunc14,e2_7_2_1_2__bvfunc14)]]).

fof(e3_7_2_1_2__bvfunc14,plain,(
    r2_hidden(c1_7_2_1__bvfunc14,c1_7_2_1_2__bvfunc14) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_2_1__bvfunc14,e1_7_2_1__bvfunc14,dt_c1_7_2_1_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,e1_7_2_1_2__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_funct_1,dt_c1_7_2_1__bvfunc14,dt_c1_7_2_1_2__bvfunc14,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,t1_subset,t7_boole,e2_7_2_1_2__bvfunc14]),
    [interesting(0.35),file(bvfunc14,e3_7_2_1_2__bvfunc14),[file(bvfunc14,e3_7_2_1_2__bvfunc14)]]).

fof(i3_7_2_1_2__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i3_7_2_1_2__bvfunc14)]),
    [interesting(0.35),trivial,file(bvfunc14,i3_7_2_1_2__bvfunc14)]).

fof(i2_7_2_1_2__bvfunc14,plain,(
    r2_hidden(c1_7_2_1__bvfunc14,c1_7_2_1_2__bvfunc14) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_7_2_1__bvfunc14,e1_7_2_1__bvfunc14,dt_c1_7_2_1_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14,e1_7_2_1_2__bvfunc14])],[e3_7_2_1_2__bvfunc14,i3_7_2_1_2__bvfunc14]),
    [interesting(0.35),file(bvfunc14,i2_7_2_1_2__bvfunc14),[file(bvfunc14,i2_7_2_1_2__bvfunc14)]]).

fof(i1_7_2_1_2__bvfunc14,plain,
    ( r2_hidden(c1_7_2_1_2__bvfunc14,k2_relat_1(c2_7_2__bvfunc14))
   => r2_hidden(c1_7_2_1__bvfunc14,c1_7_2_1_2__bvfunc14) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7_2_1__bvfunc14,e1_7_2_1__bvfunc14,dt_c1_7_2_1_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14]),discharge_asm(discharge,[e1_7_2_1_2__bvfunc14])],[e1_7_2_1_2__bvfunc14,i2_7_2_1_2__bvfunc14]),
    [interesting(0.35),file(bvfunc14,i1_7_2_1_2__bvfunc14),[file(bvfunc14,i1_7_2_1_2__bvfunc14)]]).

fof(i1_7_2_1_2_tmp__bvfunc14,plain,
    ( r2_hidden(c1_7_2_1_2__bvfunc14,k2_relat_1(c2_7_2__bvfunc14))
   => r2_hidden(c1_7_2_1__bvfunc14,c1_7_2_1_2__bvfunc14) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7_2_1__bvfunc14,e1_7_2_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14]),discharge_asm(discharge,[dt_c1_7_2_1_2__bvfunc14])],[dt_c1_7_2_1_2__bvfunc14,i1_7_2_1_2__bvfunc14]),
    [interesting(0.5),e4_7_2_1__bvfunc14]).

fof(e4_7_2_1__bvfunc14,plain,(
    ! [A] : 
      ( r2_hidden(A,k2_relat_1(c2_7_2__bvfunc14))
     => r2_hidden(c1_7_2_1__bvfunc14,A) ) ),
    inference(let,[status(thm),assumptions([dt_c1_7_2_1__bvfunc14,e1_7_2_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[i1_7_2_1_2_tmp__bvfunc14,dh_c1_7_2_1_2__bvfunc14]),
    [interesting(0.5),file(bvfunc14,e4_7_2_1__bvfunc14),[file(bvfunc14,e4_7_2_1__bvfunc14)]]).

fof(e6_7_2__bvfunc14,plain,
    ( r2_hidden(c3_7__bvfunc14,k1_relat_1(c2_7_2__bvfunc14))
    & r2_hidden(c4_7__bvfunc14,k1_relat_1(c2_7_2__bvfunc14))
    & r2_hidden(c5_7__bvfunc14,k1_relat_1(c2_7_2__bvfunc14)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_m1_t_1topsp,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t8_boole,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_funct_1,dt_k1_relat_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k8_setfam_1,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_2__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e1_7__bvfunc14,e3_7_2__bvfunc14,d1_enumset1]),
    [interesting(0.65),file(bvfunc14,e6_7_2__bvfunc14),[file(bvfunc14,e6_7_2__bvfunc14)]]).

fof(e7_7_2__bvfunc14,plain,
    ( r2_hidden(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k2_relat_1(c2_7_2__bvfunc14))
    & r2_hidden(k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14),k2_relat_1(c2_7_2__bvfunc14))
    & r2_hidden(k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14),k2_relat_1(c2_7_2__bvfunc14)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_relat_1,dt_k2_relat_1,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,t1_subset,t7_boole,e6_7_2__bvfunc14,d5_funct_1]),
    [interesting(0.65),file(bvfunc14,e7_7_2__bvfunc14),[file(bvfunc14,e7_7_2__bvfunc14)]]).

fof(d1_setfam_1,definition,(
    ! [A,B] : 
      ( ( A != k1_xboole_0
       => ( B = k1_setfam_1(A)
        <=> ! [C] : 
              ( r2_hidden(C,B)
            <=> ! [D] : 
                  ( r2_hidden(D,A)
                 => r2_hidden(C,D) ) ) ) )
      & ( A = k1_xboole_0
       => ( B = k1_setfam_1(A)
        <=> B = k1_xboole_0 ) ) ) ),
    file(setfam_1,d1_setfam_1),
    [interesting(0.9),axiom,file(setfam_1,d1_setfam_1)]).

fof(e5_7_2_1__bvfunc14,plain,(
    r2_hidden(c1_7_2_1__bvfunc14,k1_setfam_1(k2_relat_1(c2_7_2__bvfunc14))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_2_1__bvfunc14,e1_7_2_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_setfam_1,dt_k1_xboole_0,dt_k2_relat_1,dt_c1_7_2_1__bvfunc14,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e4_7_2_1__bvfunc14,e7_7_2__bvfunc14,d1_setfam_1]),
    [interesting(0.5),file(bvfunc14,e5_7_2_1__bvfunc14),[file(bvfunc14,e5_7_2_1__bvfunc14)]]).

fof(d10_setfam_1,definition,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => ( ( B != k1_xboole_0
         => k8_setfam_1(A,B) = k6_setfam_1(A,B) )
        & ( B = k1_xboole_0
         => k8_setfam_1(A,B) = A ) ) ) ),
    file(setfam_1,d10_setfam_1),
    [interesting(0.9),axiom,file(setfam_1,d10_setfam_1)]).

fof(e6_7_2_1__bvfunc14,plain,(
    r2_hidden(c1_7_2_1__bvfunc14,c1_7_2__bvfunc14) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_2_1__bvfunc14,e1_7_2_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[existence_m1_t_1topsp,dt_k1_partit1,dt_m1_t_1topsp,reflexivity_r1_tarski,existence_m1_eqrel_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_m1_eqrel_1,cc1_eqrel_1,cc2_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t5_subset,t8_boole,antisymmetry_r2_hidden,existence_m1_subset_1,redefinition_k6_setfam_1,dt_k1_funct_1,dt_k1_relat_1,dt_k1_setfam_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_relat_1,dt_k6_setfam_1,dt_k8_setfam_1,dt_m1_subset_1,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c1_7_2_1__bvfunc14,dt_c2_7__bvfunc14,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_2__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,fc1_subset_1,fc1_xboole_0,t1_subset,t3_subset,t4_subset,t6_boole,t7_boole,e5_7_2_1__bvfunc14,e3_7_2__bvfunc14,e7_7_2__bvfunc14,d10_setfam_1]),
    [interesting(0.5),file(bvfunc14,e6_7_2_1__bvfunc14),[file(bvfunc14,e6_7_2_1__bvfunc14)]]).

fof(i3_7_2_1__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i3_7_2_1__bvfunc14)]),
    [interesting(0.5),trivial,file(bvfunc14,i3_7_2_1__bvfunc14)]).

fof(i2_7_2_1__bvfunc14,plain,(
    r2_hidden(c1_7_2_1__bvfunc14,c1_7_2__bvfunc14) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_7_2_1__bvfunc14,e1_7_2_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[e6_7_2_1__bvfunc14,i3_7_2_1__bvfunc14]),
    [interesting(0.5),file(bvfunc14,i2_7_2_1__bvfunc14),[file(bvfunc14,i2_7_2_1__bvfunc14)]]).

fof(i1_7_2_1__bvfunc14,plain,(
    ~ ( r2_hidden(c1_7_2_1__bvfunc14,k3_xboole_0(k3_xboole_0(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14)))
      & ~ r2_hidden(c1_7_2_1__bvfunc14,c1_7_2__bvfunc14) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7_2_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14]),discharge_asm(discharge,[e1_7_2_1__bvfunc14])],[e1_7_2_1__bvfunc14,i2_7_2_1__bvfunc14]),
    [interesting(0.5),file(bvfunc14,i1_7_2_1__bvfunc14),[file(bvfunc14,i1_7_2_1__bvfunc14)]]).

fof(i1_7_2_1_tmp__bvfunc14,plain,(
    ~ ( r2_hidden(c1_7_2_1__bvfunc14,k3_xboole_0(k3_xboole_0(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14)))
      & ~ r2_hidden(c1_7_2_1__bvfunc14,c1_7_2__bvfunc14) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14]),discharge_asm(discharge,[dt_c1_7_2_1__bvfunc14])],[dt_c1_7_2_1__bvfunc14,i1_7_2_1__bvfunc14]),
    [interesting(0.65),e9_7_2__bvfunc14]).

fof(e9_7_2__bvfunc14,plain,(
    r1_tarski(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14)),c1_7_2__bvfunc14) ),
    inference(let,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[i1_7_2_1_tmp__bvfunc14,dt_k1_zfmisc_1,dt_m1_subset_1,cc1_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,dt_m1_eqrel_1,dt_c1_7__bvfunc14,cc2_eqrel_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k3_xboole_0,dt_c1_7_2__bvfunc14,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,d3_tarski,dh_c1_7_2_1__bvfunc14]),
    [interesting(0.65),file(bvfunc14,e9_7_2__bvfunc14),[file(bvfunc14,e9_7_2__bvfunc14)]]).

fof(dt_c1_7_2_2__bvfunc14,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc14,c1_7_2_2__bvfunc14)]),
    [interesting(0.5),axiom,file(bvfunc14,c1_7_2_2__bvfunc14)]).

fof(dh_c1_7_2_2__bvfunc14,definition,
    ( ~ ( r2_hidden(c1_7_2_2__bvfunc14,c1_7_2__bvfunc14)
        & ~ r2_hidden(c1_7_2_2__bvfunc14,k3_xboole_0(k3_xboole_0(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) )
   => ! [A] : 
        ~ ( r2_hidden(A,c1_7_2__bvfunc14)
          & ~ r2_hidden(A,k3_xboole_0(k3_xboole_0(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ) ),
    introduced(definition,[new_symbol(c1_7_2_2__bvfunc14),file(bvfunc14,c1_7_2_2__bvfunc14)]),
    [interesting(0.5),axiom,file(bvfunc14,c1_7_2_2__bvfunc14)]).

fof(e1_7_2_2__bvfunc14,assumption,(
    r2_hidden(c1_7_2_2__bvfunc14,c1_7_2__bvfunc14) ),
    introduced(assumption,[file(bvfunc14,e1_7_2_2__bvfunc14)]),
    [interesting(0.5),axiom,file(bvfunc14,e1_7_2_2__bvfunc14)]).

fof(e2_7_2_2__bvfunc14,plain,(
    r2_hidden(c1_7_2_2__bvfunc14,k1_setfam_1(k2_relat_1(c2_7_2__bvfunc14))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_2_2__bvfunc14,e1_7_2_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[existence_m1_t_1topsp,dt_k1_partit1,dt_m1_t_1topsp,reflexivity_r1_tarski,existence_m1_eqrel_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_m1_eqrel_1,cc1_eqrel_1,cc2_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t5_subset,t8_boole,antisymmetry_r2_hidden,existence_m1_subset_1,redefinition_k6_setfam_1,dt_k1_funct_1,dt_k1_relat_1,dt_k1_setfam_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_relat_1,dt_k6_setfam_1,dt_k8_setfam_1,dt_m1_subset_1,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c1_7_2_2__bvfunc14,dt_c2_7__bvfunc14,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_2__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,fc1_subset_1,fc1_xboole_0,t1_subset,t3_subset,t4_subset,t6_boole,t7_boole,e1_7_2_2__bvfunc14,e3_7_2__bvfunc14,e7_7_2__bvfunc14,d10_setfam_1]),
    [interesting(0.5),file(bvfunc14,e2_7_2_2__bvfunc14),[file(bvfunc14,e2_7_2_2__bvfunc14)]]).

fof(e3_7_2_2__bvfunc14,plain,
    ( r2_hidden(c1_7_2_2__bvfunc14,k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14))
    & r2_hidden(c1_7_2_2__bvfunc14,k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14))
    & r2_hidden(c1_7_2_2__bvfunc14,k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_2_2__bvfunc14,e1_7_2_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_setfam_1,dt_k1_xboole_0,dt_k2_relat_1,dt_c1_7_2_2__bvfunc14,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e2_7_2_2__bvfunc14,e7_7_2__bvfunc14,d1_setfam_1]),
    [interesting(0.5),file(bvfunc14,e3_7_2_2__bvfunc14),[file(bvfunc14,e3_7_2_2__bvfunc14)]]).

fof(e4_7_2_2__bvfunc14,plain,(
    r2_hidden(c1_7_2_2__bvfunc14,k3_xboole_0(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_2_2__bvfunc14,e1_7_2_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k3_xboole_0,dt_c1_7_2_2__bvfunc14,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,t1_subset,t7_boole,e3_7_2_2__bvfunc14,d3_xboole_0]),
    [interesting(0.5),file(bvfunc14,e4_7_2_2__bvfunc14),[file(bvfunc14,e4_7_2_2__bvfunc14)]]).

fof(e5_7_2_2__bvfunc14,plain,(
    r2_hidden(c1_7_2_2__bvfunc14,k3_xboole_0(k3_xboole_0(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_2_2__bvfunc14,e1_7_2_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k3_xboole_0,dt_c1_7_2_2__bvfunc14,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,t1_subset,t7_boole,e4_7_2_2__bvfunc14,e3_7_2_2__bvfunc14,d3_xboole_0]),
    [interesting(0.5),file(bvfunc14,e5_7_2_2__bvfunc14),[file(bvfunc14,e5_7_2_2__bvfunc14)]]).

fof(i3_7_2_2__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i3_7_2_2__bvfunc14)]),
    [interesting(0.5),trivial,file(bvfunc14,i3_7_2_2__bvfunc14)]).

fof(i2_7_2_2__bvfunc14,plain,(
    r2_hidden(c1_7_2_2__bvfunc14,k3_xboole_0(k3_xboole_0(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_7_2_2__bvfunc14,e1_7_2_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[e5_7_2_2__bvfunc14,i3_7_2_2__bvfunc14]),
    [interesting(0.5),file(bvfunc14,i2_7_2_2__bvfunc14),[file(bvfunc14,i2_7_2_2__bvfunc14)]]).

fof(i1_7_2_2__bvfunc14,plain,(
    ~ ( r2_hidden(c1_7_2_2__bvfunc14,c1_7_2__bvfunc14)
      & ~ r2_hidden(c1_7_2_2__bvfunc14,k3_xboole_0(k3_xboole_0(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7_2_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14]),discharge_asm(discharge,[e1_7_2_2__bvfunc14])],[e1_7_2_2__bvfunc14,i2_7_2_2__bvfunc14]),
    [interesting(0.5),file(bvfunc14,i1_7_2_2__bvfunc14),[file(bvfunc14,i1_7_2_2__bvfunc14)]]).

fof(i1_7_2_2_tmp__bvfunc14,plain,(
    ~ ( r2_hidden(c1_7_2_2__bvfunc14,c1_7_2__bvfunc14)
      & ~ r2_hidden(c1_7_2_2__bvfunc14,k3_xboole_0(k3_xboole_0(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14]),discharge_asm(discharge,[dt_c1_7_2_2__bvfunc14])],[dt_c1_7_2_2__bvfunc14,i1_7_2_2__bvfunc14]),
    [interesting(0.65),e10_7_2__bvfunc14]).

fof(e10_7_2__bvfunc14,plain,(
    r1_tarski(c1_7_2__bvfunc14,k3_xboole_0(k3_xboole_0(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14))) ),
    inference(let,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[i1_7_2_2_tmp__bvfunc14,dt_k1_zfmisc_1,dt_m1_subset_1,cc1_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,dt_m1_eqrel_1,dt_c1_7__bvfunc14,cc2_eqrel_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k3_xboole_0,dt_c1_7_2__bvfunc14,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,d3_tarski,dh_c1_7_2_2__bvfunc14]),
    [interesting(0.65),file(bvfunc14,e10_7_2__bvfunc14),[file(bvfunc14,e10_7_2__bvfunc14)]]).

fof(d10_xboole_0,definition,(
    ! [A,B] : 
      ( A = B
    <=> ( r1_tarski(A,B)
        & r1_tarski(B,A) ) ) ),
    file(xboole_0,d10_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,d10_xboole_0)]).

fof(e12_7_2__bvfunc14,plain,(
    k3_xboole_0(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)) != k1_xboole_0 ),
    inference(mizar_by,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[existence_m1_t_1topsp,dt_k1_partit1,dt_m1_t_1topsp,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t4_subset,t5_subset,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_relat_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k3_xboole_0,dt_k8_setfam_1,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_2__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,fc1_xboole_0,t1_subset,t2_boole,t3_subset,t6_boole,t7_boole,e3_7_2__bvfunc14,e9_7_2__bvfunc14,e10_7_2__bvfunc14,d10_xboole_0]),
    [interesting(0.65),file(bvfunc14,e12_7_2__bvfunc14),[file(bvfunc14,e12_7_2__bvfunc14)]]).

fof(d1_tarski,definition,(
    ! [A,B] : 
      ( B = k1_tarski(A)
    <=> ! [C] : 
          ( r2_hidden(C,B)
        <=> C = A ) ) ),
    file(tarski,d1_tarski),
    [interesting(0.9),axiom,file(tarski,d1_tarski)]).

fof(e13_7_2__bvfunc14,plain,(
    ~ r2_hidden(k3_xboole_0(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)),k1_tarski(k1_xboole_0)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_tarski,dt_k1_xboole_0,dt_k3_xboole_0,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t6_boole,t7_boole,e12_7_2__bvfunc14,d1_tarski]),
    [interesting(0.65),file(bvfunc14,e13_7_2__bvfunc14),[file(bvfunc14,e13_7_2__bvfunc14)]]).

fof(d4_xboole_0,definition,(
    ! [A,B,C] : 
      ( C = k4_xboole_0(A,B)
    <=> ! [D] : 
          ( r2_hidden(D,C)
        <=> ( r2_hidden(D,A)
            & ~ r2_hidden(D,B) ) ) ) ),
    file(xboole_0,d4_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,d4_xboole_0)]).

fof(e15_7_2__bvfunc14,plain,(
    r2_hidden(k3_xboole_0(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)),k4_xboole_0(k3_setfam_1(c3_7__bvfunc14,c4_7__bvfunc14),k1_tarski(k1_xboole_0))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_tarski,dt_k1_xboole_0,dt_k3_setfam_1,dt_k3_xboole_0,dt_k4_xboole_0,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t3_boole,t4_boole,t6_boole,t7_boole,e14_7_2__bvfunc14,e13_7_2__bvfunc14,d4_xboole_0]),
    [interesting(0.65),file(bvfunc14,e15_7_2__bvfunc14),[file(bvfunc14,e15_7_2__bvfunc14)]]).

fof(d4_partit1,definition,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_eqrel_1(B,A)
         => ! [C] : 
              ( m1_eqrel_1(C,A)
             => k2_partit1(A,B,C) = k4_xboole_0(k3_setfam_1(B,C),k1_tarski(k1_xboole_0)) ) ) ) ),
    file(partit1,d4_partit1),
    [interesting(0.9),axiom,file(partit1,d4_partit1)]).

fof(e16_7_2__bvfunc14,plain,(
    r2_hidden(k3_xboole_0(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)),k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[reflexivity_r1_tarski,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t2_subset,t3_subset,t4_subset,t5_subset,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,existence_m1_eqrel_1,dt_k1_funct_1,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_k4_xboole_0,dt_m1_eqrel_1,dt_c1_7__bvfunc14,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,fc1_xboole_0,fc2_subset_1,rc1_xboole_0,rc2_xboole_0,t1_subset,t2_boole,t3_boole,t4_boole,t6_boole,t7_boole,t8_boole,e15_7_2__bvfunc14,d4_partit1]),
    [interesting(0.65),file(bvfunc14,e16_7_2__bvfunc14),[file(bvfunc14,e16_7_2__bvfunc14)]]).

fof(e11_7_2__bvfunc14,plain,(
    k3_xboole_0(k3_xboole_0(k1_funct_1(c2_7_2__bvfunc14,c3_7__bvfunc14),k1_funct_1(c2_7_2__bvfunc14,c4_7__bvfunc14)),k1_funct_1(c2_7_2__bvfunc14,c5_7__bvfunc14)) = c1_7_2__bvfunc14 ),
    inference(mizar_by,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t2_boole,t4_subset,t5_subset,cc1_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,existence_m1_eqrel_1,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc2_eqrel_1,fc1_subset_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,reflexivity_r1_tarski,dt_k1_funct_1,dt_k3_xboole_0,dt_c1_7_2__bvfunc14,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,t3_subset,e10_7_2__bvfunc14,e9_7_2__bvfunc14,d10_xboole_0]),
    [interesting(0.65),file(bvfunc14,e11_7_2__bvfunc14),[file(bvfunc14,e11_7_2__bvfunc14)]]).

fof(e17_7_2__bvfunc14,plain,(
    r2_hidden(c1_7_2__bvfunc14,k3_setfam_1(k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),c5_7__bvfunc14)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,t1_subset,t7_boole,e16_7_2__bvfunc14,e5_7_2__bvfunc14,e11_7_2__bvfunc14,d5_setfam_1]),
    [interesting(0.65),file(bvfunc14,e17_7_2__bvfunc14),[file(bvfunc14,e17_7_2__bvfunc14)]]).

fof(e8_7_2__bvfunc14,plain,(
    ~ r2_hidden(c1_7_2__bvfunc14,k1_tarski(k1_xboole_0)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_m1_t_1topsp,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_subset_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t8_boole,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_relat_1,dt_k1_tarski,dt_k1_xboole_0,dt_k2_relat_1,dt_k8_setfam_1,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,dt_c2_7_2__bvfunc14,dt_c3_7_2__bvfunc14,fc1_xboole_0,fc2_subset_1,t1_subset,t6_boole,t7_boole,e3_7_2__bvfunc14,d1_tarski]),
    [interesting(0.65),file(bvfunc14,e8_7_2__bvfunc14),[file(bvfunc14,e8_7_2__bvfunc14)]]).

fof(e18_7_2__bvfunc14,plain,(
    r2_hidden(c1_7_2__bvfunc14,k4_xboole_0(k3_setfam_1(k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),c5_7__bvfunc14),k1_tarski(k1_xboole_0))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k2_partit1,commutativity_k3_setfam_1,antisymmetry_r2_hidden,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k4_xboole_0,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,fc1_xboole_0,fc2_subset_1,t1_subset,t3_boole,t4_boole,t6_boole,t7_boole,e17_7_2__bvfunc14,e8_7_2__bvfunc14,d4_xboole_0]),
    [interesting(0.65),file(bvfunc14,e18_7_2__bvfunc14),[file(bvfunc14,e18_7_2__bvfunc14)]]).

fof(e19_7_2__bvfunc14,plain,(
    r2_hidden(c1_7_2__bvfunc14,k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),c5_7__bvfunc14)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[reflexivity_r1_tarski,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t2_subset,t3_subset,t4_subset,t5_subset,commutativity_k2_partit1,commutativity_k3_setfam_1,antisymmetry_r2_hidden,existence_m1_eqrel_1,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,fc1_xboole_0,fc2_subset_1,rc1_xboole_0,rc2_xboole_0,t1_subset,t3_boole,t4_boole,t6_boole,t7_boole,t8_boole,e18_7_2__bvfunc14,d4_partit1]),
    [interesting(0.65),file(bvfunc14,e19_7_2__bvfunc14),[file(bvfunc14,e19_7_2__bvfunc14)]]).

fof(i3_7_2__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i3_7_2__bvfunc14)]),
    [interesting(0.65),trivial,file(bvfunc14,i3_7_2__bvfunc14)]).

fof(i2_7_2__bvfunc14,plain,(
    r2_hidden(c1_7_2__bvfunc14,k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),c5_7__bvfunc14)) ),
    inference(conclusion,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14,e1_7_2__bvfunc14])],[e19_7_2__bvfunc14,i3_7_2__bvfunc14]),
    [interesting(0.65),file(bvfunc14,i2_7_2__bvfunc14),[file(bvfunc14,i2_7_2__bvfunc14)]]).

fof(i1_7_2__bvfunc14,plain,(
    ~ ( r2_hidden(c1_7_2__bvfunc14,k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14))
      & ~ r2_hidden(c1_7_2__bvfunc14,k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),c5_7__bvfunc14)) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_2__bvfunc14,dt_c2_7__bvfunc14]),discharge_asm(discharge,[e1_7_2__bvfunc14])],[e1_7_2__bvfunc14,i2_7_2__bvfunc14]),
    [interesting(0.65),file(bvfunc14,i1_7_2__bvfunc14),[file(bvfunc14,i1_7_2__bvfunc14)]]).

fof(i1_7_2_tmp__bvfunc14,plain,(
    ~ ( r2_hidden(c1_7_2__bvfunc14,k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14))
      & ~ r2_hidden(c1_7_2__bvfunc14,k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),c5_7__bvfunc14)) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c2_7__bvfunc14]),discharge_asm(discharge,[dt_c1_7_2__bvfunc14])],[dt_c1_7_2__bvfunc14,i1_7_2__bvfunc14]),
    [interesting(0.8),e3_7__bvfunc14]).

fof(e3_7__bvfunc14,plain,(
    r1_tarski(k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14),k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),c5_7__bvfunc14)) ),
    inference(let,[status(thm),assumptions([dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c2_7__bvfunc14])],[i1_7_2_tmp__bvfunc14,dt_k1_partit1,dt_m1_t_1topsp,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,commutativity_k2_partit1,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k2_bvfunc_2,dt_k2_partit1,dt_c1_7__bvfunc14,dt_c2_7__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,d3_tarski,dh_c1_7_2__bvfunc14]),
    [interesting(0.8),file(bvfunc14,e3_7__bvfunc14),[file(bvfunc14,e3_7__bvfunc14)]]).

fof(dt_c1_7_1__bvfunc14,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc14,c1_7_1__bvfunc14)]),
    [interesting(0.65),axiom,file(bvfunc14,c1_7_1__bvfunc14)]).

fof(dh_c1_7_1__bvfunc14,definition,
    ( ~ ( r2_hidden(c1_7_1__bvfunc14,k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),c5_7__bvfunc14))
        & ~ r2_hidden(c1_7_1__bvfunc14,k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14)) )
   => ! [A] : 
        ~ ( r2_hidden(A,k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),c5_7__bvfunc14))
          & ~ r2_hidden(A,k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14)) ) ),
    introduced(definition,[new_symbol(c1_7_1__bvfunc14),file(bvfunc14,c1_7_1__bvfunc14)]),
    [interesting(0.65),axiom,file(bvfunc14,c1_7_1__bvfunc14)]).

fof(e1_7_1__bvfunc14,assumption,(
    r2_hidden(c1_7_1__bvfunc14,k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),c5_7__bvfunc14)) ),
    introduced(assumption,[file(bvfunc14,e1_7_1__bvfunc14)]),
    [interesting(0.65),axiom,file(bvfunc14,e1_7_1__bvfunc14)]).

fof(idempotence_k1_funct_4,theorem,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B) )
     => k1_funct_4(A,A) = A ) ),
    file(funct_4,k1_funct_4),
    [interesting(0.9),axiom,file(funct_4,k1_funct_4)]).

fof(dt_k1_funct_4,axiom,(
    ! [A,B] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B) )
     => ( v1_relat_1(k1_funct_4(A,B))
        & v1_funct_1(k1_funct_4(A,B)) ) ) ),
    file(funct_4,k1_funct_4),
    [interesting(0.9),axiom,file(funct_4,k1_funct_4)]).

fof(dt_k3_cqc_lang,axiom,(
    $true ),
    file(cqc_lang,k3_cqc_lang),
    [interesting(0.9),axiom,file(cqc_lang,k3_cqc_lang)]).

fof(dh_c2_7_1__bvfunc14,definition,
    ( ? [A,B] : 
        ( r2_hidden(A,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14))
        & r2_hidden(B,c5_7__bvfunc14)
        & c1_7_1__bvfunc14 = k3_xboole_0(A,B) )
   => ? [C] : 
        ( r2_hidden(c2_7_1__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14))
        & r2_hidden(C,c5_7__bvfunc14)
        & c1_7_1__bvfunc14 = k3_xboole_0(c2_7_1__bvfunc14,C) ) ),
    introduced(definition,[new_symbol(c2_7_1__bvfunc14),file(bvfunc14,c2_7_1__bvfunc14)]),
    [interesting(0.65),axiom,file(bvfunc14,c2_7_1__bvfunc14)]).

fof(dh_c3_7_1__bvfunc14,definition,
    ( ? [A] : 
        ( r2_hidden(c2_7_1__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14))
        & r2_hidden(A,c5_7__bvfunc14)
        & c1_7_1__bvfunc14 = k3_xboole_0(c2_7_1__bvfunc14,A) )
   => ( r2_hidden(c2_7_1__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14))
      & r2_hidden(c3_7_1__bvfunc14,c5_7__bvfunc14)
      & c1_7_1__bvfunc14 = k3_xboole_0(c2_7_1__bvfunc14,c3_7_1__bvfunc14) ) ),
    introduced(definition,[new_symbol(c3_7_1__bvfunc14),file(bvfunc14,c3_7_1__bvfunc14)]),
    [interesting(0.65),axiom,file(bvfunc14,c3_7_1__bvfunc14)]).

fof(e2_7_1__bvfunc14,plain,(
    r2_hidden(c1_7_1__bvfunc14,k4_xboole_0(k3_setfam_1(k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),c5_7__bvfunc14),k1_tarski(k1_xboole_0))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t2_subset,t3_subset,t4_subset,t5_subset,commutativity_k2_partit1,commutativity_k3_setfam_1,antisymmetry_r2_hidden,existence_m1_eqrel_1,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,fc1_xboole_0,fc2_subset_1,rc1_xboole_0,rc2_xboole_0,t1_subset,t3_boole,t4_boole,t6_boole,t7_boole,t8_boole,e1_7_1__bvfunc14,d4_partit1]),
    [interesting(0.65),file(bvfunc14,e2_7_1__bvfunc14),[file(bvfunc14,e2_7_1__bvfunc14)]]).

fof(e3_7_1__bvfunc14,plain,
    ( r2_hidden(c1_7_1__bvfunc14,k3_setfam_1(k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),c5_7__bvfunc14))
    & ~ r2_hidden(c1_7_1__bvfunc14,k1_tarski(k1_xboole_0)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k2_partit1,commutativity_k3_setfam_1,antisymmetry_r2_hidden,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k4_xboole_0,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,fc1_xboole_0,fc2_subset_1,t1_subset,t3_boole,t4_boole,t6_boole,t7_boole,e2_7_1__bvfunc14,d4_xboole_0]),
    [interesting(0.65),file(bvfunc14,e3_7_1__bvfunc14),[file(bvfunc14,e3_7_1__bvfunc14)]]).

fof(e4_7_1__bvfunc14,plain,(
    ? [A,B] : 
      ( r2_hidden(A,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14))
      & r2_hidden(B,c5_7__bvfunc14)
      & c1_7_1__bvfunc14 = k3_xboole_0(A,B) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t6_boole,t7_boole,e3_7_1__bvfunc14,d5_setfam_1]),
    [interesting(0.65),file(bvfunc14,e4_7_1__bvfunc14),[file(bvfunc14,e4_7_1__bvfunc14)]]).

fof(dt_c3_7_1__bvfunc14,plain,(
    $true ),
    inference(consider,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[dh_c2_7_1__bvfunc14,dh_c3_7_1__bvfunc14,e4_7_1__bvfunc14]),
    [interesting(0.65),file(bvfunc14,c3_7_1__bvfunc14),[file(bvfunc14,c3_7_1__bvfunc14)]]).

fof(dh_c4_7_1__bvfunc14,definition,
    ( ? [A,B] : 
        ( r2_hidden(A,c3_7__bvfunc14)
        & r2_hidden(B,c4_7__bvfunc14)
        & c2_7_1__bvfunc14 = k3_xboole_0(A,B) )
   => ? [C] : 
        ( r2_hidden(c4_7_1__bvfunc14,c3_7__bvfunc14)
        & r2_hidden(C,c4_7__bvfunc14)
        & c2_7_1__bvfunc14 = k3_xboole_0(c4_7_1__bvfunc14,C) ) ),
    introduced(definition,[new_symbol(c4_7_1__bvfunc14),file(bvfunc14,c4_7_1__bvfunc14)]),
    [interesting(0.65),axiom,file(bvfunc14,c4_7_1__bvfunc14)]).

fof(dt_c2_7_1__bvfunc14,plain,(
    $true ),
    inference(consider,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[dh_c2_7_1__bvfunc14,e4_7_1__bvfunc14]),
    [interesting(0.65),file(bvfunc14,c2_7_1__bvfunc14),[file(bvfunc14,c2_7_1__bvfunc14)]]).

fof(e5_7_1__bvfunc14,plain,
    ( r2_hidden(c2_7_1__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14))
    & r2_hidden(c3_7_1__bvfunc14,c5_7__bvfunc14)
    & c1_7_1__bvfunc14 = k3_xboole_0(c2_7_1__bvfunc14,c3_7_1__bvfunc14) ),
    inference(consider,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[dh_c2_7_1__bvfunc14,dh_c3_7_1__bvfunc14,e4_7_1__bvfunc14]),
    [interesting(0.65),file(bvfunc14,e5_7_1__bvfunc14),[file(bvfunc14,e5_7_1__bvfunc14)]]).

fof(e6_7_1__bvfunc14,plain,(
    r2_hidden(c2_7_1__bvfunc14,k4_xboole_0(k3_setfam_1(c3_7__bvfunc14,c4_7__bvfunc14),k1_tarski(k1_xboole_0))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t2_subset,t3_subset,t4_subset,t5_subset,commutativity_k2_partit1,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,existence_m1_eqrel_1,dt_k1_tarski,dt_k1_xboole_0,dt_k2_partit1,dt_k3_setfam_1,dt_k3_xboole_0,dt_k4_xboole_0,dt_m1_eqrel_1,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c2_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,fc1_xboole_0,fc2_subset_1,rc1_xboole_0,rc2_xboole_0,t1_subset,t2_boole,t3_boole,t4_boole,t6_boole,t7_boole,t8_boole,e5_7_1__bvfunc14,d4_partit1]),
    [interesting(0.65),file(bvfunc14,e6_7_1__bvfunc14),[file(bvfunc14,e6_7_1__bvfunc14)]]).

fof(e7_7_1__bvfunc14,plain,
    ( r2_hidden(c2_7_1__bvfunc14,k3_setfam_1(c3_7__bvfunc14,c4_7__bvfunc14))
    & ~ r2_hidden(c2_7_1__bvfunc14,k1_tarski(k1_xboole_0)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k3_setfam_1,antisymmetry_r2_hidden,dt_k1_tarski,dt_k1_xboole_0,dt_k3_setfam_1,dt_k4_xboole_0,dt_c2_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,fc1_xboole_0,fc2_subset_1,t1_subset,t3_boole,t4_boole,t6_boole,t7_boole,e6_7_1__bvfunc14,d4_xboole_0]),
    [interesting(0.65),file(bvfunc14,e7_7_1__bvfunc14),[file(bvfunc14,e7_7_1__bvfunc14)]]).

fof(e8_7_1__bvfunc14,plain,(
    ? [A,B] : 
      ( r2_hidden(A,c3_7__bvfunc14)
      & r2_hidden(B,c4_7__bvfunc14)
      & c2_7_1__bvfunc14 = k3_xboole_0(A,B) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,commutativity_k3_setfam_1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_tarski,dt_k1_xboole_0,dt_k3_setfam_1,dt_k3_xboole_0,dt_c2_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t6_boole,t7_boole,e7_7_1__bvfunc14,d5_setfam_1]),
    [interesting(0.65),file(bvfunc14,e8_7_1__bvfunc14),[file(bvfunc14,e8_7_1__bvfunc14)]]).

fof(dt_c4_7_1__bvfunc14,plain,(
    $true ),
    inference(consider,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[dh_c4_7_1__bvfunc14,e8_7_1__bvfunc14]),
    [interesting(0.65),file(bvfunc14,c4_7_1__bvfunc14),[file(bvfunc14,c4_7_1__bvfunc14)]]).

fof(dh_c5_7_1__bvfunc14,definition,
    ( ? [A] : 
        ( r2_hidden(c4_7_1__bvfunc14,c3_7__bvfunc14)
        & r2_hidden(A,c4_7__bvfunc14)
        & c2_7_1__bvfunc14 = k3_xboole_0(c4_7_1__bvfunc14,A) )
   => ( r2_hidden(c4_7_1__bvfunc14,c3_7__bvfunc14)
      & r2_hidden(c5_7_1__bvfunc14,c4_7__bvfunc14)
      & c2_7_1__bvfunc14 = k3_xboole_0(c4_7_1__bvfunc14,c5_7_1__bvfunc14) ) ),
    introduced(definition,[new_symbol(c5_7_1__bvfunc14),file(bvfunc14,c5_7_1__bvfunc14)]),
    [interesting(0.65),axiom,file(bvfunc14,c5_7_1__bvfunc14)]).

fof(dt_c5_7_1__bvfunc14,plain,(
    $true ),
    inference(consider,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[dh_c4_7_1__bvfunc14,dh_c5_7_1__bvfunc14,e8_7_1__bvfunc14]),
    [interesting(0.65),file(bvfunc14,c5_7_1__bvfunc14),[file(bvfunc14,c5_7_1__bvfunc14)]]).

fof(fc1_cqc_lang,theorem,(
    ! [A,B] : 
      ( v1_relat_1(k3_cqc_lang(A,B))
      & v1_funct_1(k3_cqc_lang(A,B)) ) ),
    file(cqc_lang,fc1_cqc_lang),
    [interesting(0.9),axiom,file(cqc_lang,fc1_cqc_lang)]).

fof(de_c7_7_1__bvfunc14,definition,(
    c7_7_1__bvfunc14 = k2_relat_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14))) ),
    introduced(definition,[new_symbol(c7_7_1__bvfunc14),file(bvfunc14,c7_7_1__bvfunc14)]),
    [interesting(0.65),axiom,file(bvfunc14,c7_7_1__bvfunc14)]).

fof(dt_c1_7_1_3__bvfunc14,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc14,c1_7_1_3__bvfunc14)]),
    [interesting(0.5),axiom,file(bvfunc14,c1_7_1_3__bvfunc14)]).

fof(dh_c1_7_1_3__bvfunc14,definition,
    ( ~ ( r2_hidden(c1_7_1_3__bvfunc14,k2_relat_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14))))
        & ~ r2_hidden(c1_7_1_3__bvfunc14,k1_zfmisc_1(c1_7__bvfunc14)) )
   => ! [A] : 
        ~ ( r2_hidden(A,k2_relat_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14))))
          & ~ r2_hidden(A,k1_zfmisc_1(c1_7__bvfunc14)) ) ),
    introduced(definition,[new_symbol(c1_7_1_3__bvfunc14),file(bvfunc14,c1_7_1_3__bvfunc14)]),
    [interesting(0.5),axiom,file(bvfunc14,c1_7_1_3__bvfunc14)]).

fof(e1_7_1_3__bvfunc14,assumption,(
    r2_hidden(c1_7_1_3__bvfunc14,k2_relat_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)))) ),
    introduced(assumption,[file(bvfunc14,e1_7_1_3__bvfunc14)]),
    [interesting(0.5),axiom,file(bvfunc14,e1_7_1_3__bvfunc14)]).

fof(e1_7_1_3_1_1_1__bvfunc14,assumption,(
    c1_7_1_3__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c5_7__bvfunc14) ),
    introduced(assumption,[file(bvfunc14,e1_7_1_3_1_1_1__bvfunc14)]),
    [interesting(0.05),axiom,file(bvfunc14,e1_7_1_3_1_1_1__bvfunc14)]).

fof(t3_yellow14,theorem,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B,C] : k1_funct_1(k1_funct_4(A,k3_cqc_lang(B,C)),B) = C ) ),
    file(yellow14,t3_yellow14),
    [interesting(0.9),axiom,file(yellow14,t3_yellow14)]).

fof(e11_7_1__bvfunc14,plain,(
    k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c5_7__bvfunc14) = c3_7_1__bvfunc14 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,cc1_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,existence_m1_eqrel_1,dt_m1_eqrel_1,dt_c1_7__bvfunc14,cc2_eqrel_1,idempotence_k1_funct_4,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,t3_yellow14]),
    [interesting(0.65),file(bvfunc14,e11_7_1__bvfunc14),[file(bvfunc14,e11_7_1__bvfunc14)]]).

fof(e2_7_1_3_1_1_1__bvfunc14,plain,(
    r2_hidden(c1_7_1_3__bvfunc14,k1_zfmisc_1(c1_7__bvfunc14)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_3__bvfunc14,e1_7_1_3_1_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,idempotence_k1_funct_4,commutativity_k2_partit1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k1_zfmisc_1,dt_k2_partit1,dt_k3_cqc_lang,dt_k3_xboole_0,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c1_7_1_3__bvfunc14,dt_c2_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,fc1_subset_1,t1_subset,t7_boole,e1_7_1_3_1_1_1__bvfunc14,e5_7_1__bvfunc14,e11_7_1__bvfunc14]),
    [interesting(0.05),file(bvfunc14,e2_7_1_3_1_1_1__bvfunc14),[file(bvfunc14,e2_7_1_3_1_1_1__bvfunc14)]]).

fof(i2_7_1_3_1_1_1__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i2_7_1_3_1_1_1__bvfunc14)]),
    [interesting(0.05),trivial,file(bvfunc14,i2_7_1_3_1_1_1__bvfunc14)]).

fof(i1_7_1_3_1_1_1__bvfunc14,plain,(
    r2_hidden(c1_7_1_3__bvfunc14,k1_zfmisc_1(c1_7__bvfunc14)) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_7_1_3__bvfunc14,e1_7_1_3_1_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[e2_7_1_3_1_1_1__bvfunc14,i2_7_1_3_1_1_1__bvfunc14]),
    [interesting(0.05),file(bvfunc14,i1_7_1_3_1_1_1__bvfunc14),[file(bvfunc14,i1_7_1_3_1_1_1__bvfunc14)]]).

fof(i1_7_1_3_1_1__bvfunc14,plain,
    ( c1_7_1_3__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c5_7__bvfunc14)
   => ( c1_7_1_3__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c5_7__bvfunc14)
      & r2_hidden(c1_7_1_3__bvfunc14,k1_zfmisc_1(c1_7__bvfunc14)) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7_1_3__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14]),discharge_asm(discharge,[e1_7_1_3_1_1_1__bvfunc14])],[e1_7_1_3_1_1_1__bvfunc14,i1_7_1_3_1_1_1__bvfunc14]),
    [interesting(0.2),file(bvfunc14,i1_7_1_3_1_1__bvfunc14),[file(bvfunc14,i1_7_1_3_1_1__bvfunc14)]]).

fof(e1_7_1_3_1_1_2__bvfunc14,assumption,(
    c1_7_1_3__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c3_7__bvfunc14) ),
    introduced(assumption,[file(bvfunc14,e1_7_1_3_1_1_2__bvfunc14)]),
    [interesting(0.05),axiom,file(bvfunc14,e1_7_1_3_1_1_2__bvfunc14)]).

fof(l5_bvfunc14,plain,(
    ! [A,B,C,D,E,F] : 
      ~ ( A != B
        & C != A
        & k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(A,D),k3_cqc_lang(B,E)),k3_cqc_lang(C,F)),A) != D ) ),
    file(bvfunc14,l5_bvfunc14),
    [interesting(0.9),axiom,file(bvfunc14,l5_bvfunc14)]).

fof(e2_7_1_3_1_1_2__bvfunc14,plain,(
    c1_7_1_3__bvfunc14 = c4_7_1__bvfunc14 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_3__bvfunc14,dt_c2_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7_1_3_1_1_2__bvfunc14,e1_7__bvfunc14])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_m1_t_1topsp,cc1_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc2_eqrel_1,fc1_subset_1,t3_subset,idempotence_k1_funct_4,dt_k1_enumset1,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_c1_7_1_3__bvfunc14,dt_c2_7__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,e1_7_1_3_1_1_2__bvfunc14,e1_7__bvfunc14,l5_bvfunc14]),
    [interesting(0.05),file(bvfunc14,e2_7_1_3_1_1_2__bvfunc14),[file(bvfunc14,e2_7_1_3_1_1_2__bvfunc14)]]).

fof(e9_7_1__bvfunc14,plain,
    ( r2_hidden(c4_7_1__bvfunc14,c3_7__bvfunc14)
    & r2_hidden(c5_7_1__bvfunc14,c4_7__bvfunc14)
    & c2_7_1__bvfunc14 = k3_xboole_0(c4_7_1__bvfunc14,c5_7_1__bvfunc14) ),
    inference(consider,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[dh_c4_7_1__bvfunc14,dh_c5_7_1__bvfunc14,e8_7_1__bvfunc14]),
    [interesting(0.65),file(bvfunc14,e9_7_1__bvfunc14),[file(bvfunc14,e9_7_1__bvfunc14)]]).

fof(e3_7_1_3_1_1_2__bvfunc14,plain,(
    r2_hidden(c1_7_1_3__bvfunc14,k1_zfmisc_1(c1_7__bvfunc14)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_3__bvfunc14,dt_c2_7__bvfunc14,e1_7_1_3_1_1_2__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_zfmisc_1,dt_k3_xboole_0,dt_c1_7__bvfunc14,dt_c1_7_1_3__bvfunc14,dt_c2_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7_1__bvfunc14,fc1_subset_1,t1_subset,t7_boole,e2_7_1_3_1_1_2__bvfunc14,e9_7_1__bvfunc14]),
    [interesting(0.05),file(bvfunc14,e3_7_1_3_1_1_2__bvfunc14),[file(bvfunc14,e3_7_1_3_1_1_2__bvfunc14)]]).

fof(i2_7_1_3_1_1_2__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i2_7_1_3_1_1_2__bvfunc14)]),
    [interesting(0.05),trivial,file(bvfunc14,i2_7_1_3_1_1_2__bvfunc14)]).

fof(i1_7_1_3_1_1_2__bvfunc14,plain,(
    r2_hidden(c1_7_1_3__bvfunc14,k1_zfmisc_1(c1_7__bvfunc14)) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_7_1_3__bvfunc14,dt_c2_7__bvfunc14,e1_7_1_3_1_1_2__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[e3_7_1_3_1_1_2__bvfunc14,i2_7_1_3_1_1_2__bvfunc14]),
    [interesting(0.05),file(bvfunc14,i1_7_1_3_1_1_2__bvfunc14),[file(bvfunc14,i1_7_1_3_1_1_2__bvfunc14)]]).

fof(i2_7_1_3_1_1__bvfunc14,plain,
    ( c1_7_1_3__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c3_7__bvfunc14)
   => ( c1_7_1_3__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c3_7__bvfunc14)
      & r2_hidden(c1_7_1_3__bvfunc14,k1_zfmisc_1(c1_7__bvfunc14)) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7_1_3__bvfunc14,dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14]),discharge_asm(discharge,[e1_7_1_3_1_1_2__bvfunc14])],[e1_7_1_3_1_1_2__bvfunc14,i1_7_1_3_1_1_2__bvfunc14]),
    [interesting(0.2),file(bvfunc14,i2_7_1_3_1_1__bvfunc14),[file(bvfunc14,i2_7_1_3_1_1__bvfunc14)]]).

fof(e1_7_1_3_1_1_3__bvfunc14,assumption,(
    c1_7_1_3__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c4_7__bvfunc14) ),
    introduced(assumption,[file(bvfunc14,e1_7_1_3_1_1_3__bvfunc14)]),
    [interesting(0.05),axiom,file(bvfunc14,e1_7_1_3_1_1_3__bvfunc14)]).

fof(l4_bvfunc14,plain,(
    ! [A] : 
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B,C,D,E] : 
          ( B != C
         => k1_funct_1(k1_funct_4(k1_funct_4(A,k3_cqc_lang(B,D)),k3_cqc_lang(C,E)),B) = D ) ) ),
    file(bvfunc14,l4_bvfunc14),
    [interesting(0.9),axiom,file(bvfunc14,l4_bvfunc14)]).

fof(e2_7_1_3_1_1_3__bvfunc14,plain,(
    c1_7_1_3__bvfunc14 = c5_7_1__bvfunc14 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_3__bvfunc14,dt_c2_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7_1_3_1_1_3__bvfunc14,e1_7__bvfunc14])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_m1_t_1topsp,cc1_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc2_eqrel_1,fc1_subset_1,t3_subset,idempotence_k1_funct_4,dt_k1_enumset1,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_c1_7_1_3__bvfunc14,dt_c2_7__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,e1_7_1_3_1_1_3__bvfunc14,e1_7__bvfunc14,l4_bvfunc14]),
    [interesting(0.05),file(bvfunc14,e2_7_1_3_1_1_3__bvfunc14),[file(bvfunc14,e2_7_1_3_1_1_3__bvfunc14)]]).

fof(e3_7_1_3_1_1_3__bvfunc14,plain,(
    r2_hidden(c1_7_1_3__bvfunc14,k1_zfmisc_1(c1_7__bvfunc14)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_3__bvfunc14,dt_c2_7__bvfunc14,e1_7_1_3_1_1_3__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_zfmisc_1,dt_k3_xboole_0,dt_c1_7__bvfunc14,dt_c1_7_1_3__bvfunc14,dt_c2_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7_1__bvfunc14,fc1_subset_1,t1_subset,t7_boole,e2_7_1_3_1_1_3__bvfunc14,e9_7_1__bvfunc14]),
    [interesting(0.05),file(bvfunc14,e3_7_1_3_1_1_3__bvfunc14),[file(bvfunc14,e3_7_1_3_1_1_3__bvfunc14)]]).

fof(i2_7_1_3_1_1_3__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i2_7_1_3_1_1_3__bvfunc14)]),
    [interesting(0.05),trivial,file(bvfunc14,i2_7_1_3_1_1_3__bvfunc14)]).

fof(i1_7_1_3_1_1_3__bvfunc14,plain,(
    r2_hidden(c1_7_1_3__bvfunc14,k1_zfmisc_1(c1_7__bvfunc14)) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_7_1_3__bvfunc14,dt_c2_7__bvfunc14,e1_7_1_3_1_1_3__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[e3_7_1_3_1_1_3__bvfunc14,i2_7_1_3_1_1_3__bvfunc14]),
    [interesting(0.05),file(bvfunc14,i1_7_1_3_1_1_3__bvfunc14),[file(bvfunc14,i1_7_1_3_1_1_3__bvfunc14)]]).

fof(i3_7_1_3_1_1__bvfunc14,plain,
    ( c1_7_1_3__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c4_7__bvfunc14)
   => ( c1_7_1_3__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c4_7__bvfunc14)
      & r2_hidden(c1_7_1_3__bvfunc14,k1_zfmisc_1(c1_7__bvfunc14)) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7_1_3__bvfunc14,dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14]),discharge_asm(discharge,[e1_7_1_3_1_1_3__bvfunc14])],[e1_7_1_3_1_1_3__bvfunc14,i1_7_1_3_1_1_3__bvfunc14]),
    [interesting(0.2),file(bvfunc14,i3_7_1_3_1_1__bvfunc14),[file(bvfunc14,i3_7_1_3_1_1__bvfunc14)]]).

fof(l6_bvfunc14,plain,(
    ! [A,B,C,D,E,F,G] : 
      ( ( v1_relat_1(G)
        & v1_funct_1(G) )
     => ( G = k1_funct_4(k1_funct_4(k3_cqc_lang(A,D),k3_cqc_lang(B,E)),k3_cqc_lang(C,F))
       => k2_relat_1(G) = k1_enumset1(k1_funct_1(G,A),k1_funct_1(G,B),k1_funct_1(G,C)) ) ) ),
    file(bvfunc14,l6_bvfunc14),
    [interesting(0.9),axiom,file(bvfunc14,l6_bvfunc14)]).

fof(e1_7_1_2__bvfunc14,plain,(
    k2_relat_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14))) = k1_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c3_7__bvfunc14),k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c4_7__bvfunc14),k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c5_7__bvfunc14)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,cc1_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,existence_m1_eqrel_1,dt_m1_eqrel_1,dt_c1_7__bvfunc14,cc2_eqrel_1,idempotence_k1_funct_4,dt_k1_enumset1,dt_k1_funct_1,dt_k1_funct_4,dt_k2_relat_1,dt_k3_cqc_lang,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,l6_bvfunc14]),
    [interesting(0.5),file(bvfunc14,e1_7_1_2__bvfunc14),[file(bvfunc14,e1_7_1_2__bvfunc14)]]).

fof(t100_enumset1,theorem,(
    ! [A,B,C] : k1_enumset1(A,B,C) = k1_enumset1(B,C,A) ),
    file(enumset1,t100_enumset1),
    [interesting(0.9),axiom,file(enumset1,t100_enumset1)]).

fof(e2_7_1_2__bvfunc14,plain,(
    k1_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c3_7__bvfunc14),k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c4_7__bvfunc14),k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c5_7__bvfunc14)) = k1_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c5_7__bvfunc14),k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c3_7__bvfunc14),k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c4_7__bvfunc14)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,cc1_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,existence_m1_eqrel_1,dt_m1_eqrel_1,dt_c1_7__bvfunc14,cc2_eqrel_1,idempotence_k1_funct_4,dt_k1_enumset1,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,t100_enumset1]),
    [interesting(0.5),file(bvfunc14,e2_7_1_2__bvfunc14),[file(bvfunc14,e2_7_1_2__bvfunc14)]]).

fof(e16_7_1__bvfunc14,plain,(
    k2_relat_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14))) = k1_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c5_7__bvfunc14),k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c3_7__bvfunc14),k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c4_7__bvfunc14)) ),
    inference(iterative_eq,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[e1_7_1_2__bvfunc14,e2_7_1_2__bvfunc14]),
    [interesting(0.65),file(bvfunc14,e16_7_1__bvfunc14),[file(bvfunc14,e16_7_1__bvfunc14)]]).

fof(e1_7_1_3_1_1__bvfunc14,plain,(
    ~ ( c1_7_1_3__bvfunc14 != k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c5_7__bvfunc14)
      & c1_7_1_3__bvfunc14 != k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c3_7__bvfunc14)
      & c1_7_1_3__bvfunc14 != k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c4_7__bvfunc14) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_3__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7_1_3__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_funct_1,dt_k1_funct_4,dt_k2_relat_1,dt_k3_cqc_lang,dt_c1_7_1_3__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,t1_subset,t7_boole,e16_7_1__bvfunc14,e1_7_1_3__bvfunc14,d1_enumset1]),
    [interesting(0.2),file(bvfunc14,e1_7_1_3_1_1__bvfunc14),[file(bvfunc14,e1_7_1_3_1_1__bvfunc14)]]).

fof(e2_7_1_3__bvfunc14,plain,(
    ~ ( ~ ( c1_7_1_3__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c5_7__bvfunc14)
          & r2_hidden(c1_7_1_3__bvfunc14,k1_zfmisc_1(c1_7__bvfunc14)) )
      & ~ ( c1_7_1_3__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c3_7__bvfunc14)
          & r2_hidden(c1_7_1_3__bvfunc14,k1_zfmisc_1(c1_7__bvfunc14)) )
      & ~ ( c1_7_1_3__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c4_7__bvfunc14)
          & r2_hidden(c1_7_1_3__bvfunc14,k1_zfmisc_1(c1_7__bvfunc14)) ) ) ),
    inference(percases,[status(thm),assumptions([dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7_1_3__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7_1_3__bvfunc14])],[i1_7_1_3_1_1__bvfunc14,i2_7_1_3_1_1__bvfunc14,i3_7_1_3_1_1__bvfunc14,e1_7_1_3_1_1__bvfunc14]),
    [interesting(0.5),file(bvfunc14,e2_7_1_3__bvfunc14),[file(bvfunc14,e2_7_1_3__bvfunc14)]]).

fof(e3_7_1_3__bvfunc14,plain,(
    r2_hidden(c1_7_1_3__bvfunc14,k1_zfmisc_1(c1_7__bvfunc14)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7_1_3__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7_1_3__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,fc1_xboole_0,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k1_zfmisc_1,dt_k3_cqc_lang,dt_c1_7__bvfunc14,dt_c1_7_1_3__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,fc1_subset_1,t1_subset,t7_boole,e2_7_1_3__bvfunc14]),
    [interesting(0.5),file(bvfunc14,e3_7_1_3__bvfunc14),[file(bvfunc14,e3_7_1_3__bvfunc14)]]).

fof(i3_7_1_3__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i3_7_1_3__bvfunc14)]),
    [interesting(0.5),trivial,file(bvfunc14,i3_7_1_3__bvfunc14)]).

fof(i2_7_1_3__bvfunc14,plain,(
    r2_hidden(c1_7_1_3__bvfunc14,k1_zfmisc_1(c1_7__bvfunc14)) ),
    inference(conclusion,[status(thm),assumptions([dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7_1_3__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7_1_3__bvfunc14])],[e3_7_1_3__bvfunc14,i3_7_1_3__bvfunc14]),
    [interesting(0.5),file(bvfunc14,i2_7_1_3__bvfunc14),[file(bvfunc14,i2_7_1_3__bvfunc14)]]).

fof(i1_7_1_3__bvfunc14,plain,(
    ~ ( r2_hidden(c1_7_1_3__bvfunc14,k2_relat_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14))))
      & ~ r2_hidden(c1_7_1_3__bvfunc14,k1_zfmisc_1(c1_7__bvfunc14)) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7_1_3__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14]),discharge_asm(discharge,[e1_7_1_3__bvfunc14])],[e1_7_1_3__bvfunc14,i2_7_1_3__bvfunc14]),
    [interesting(0.5),file(bvfunc14,i1_7_1_3__bvfunc14),[file(bvfunc14,i1_7_1_3__bvfunc14)]]).

fof(i1_7_1_3_tmp__bvfunc14,plain,(
    ~ ( r2_hidden(c1_7_1_3__bvfunc14,k2_relat_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14))))
      & ~ r2_hidden(c1_7_1_3__bvfunc14,k1_zfmisc_1(c1_7__bvfunc14)) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14]),discharge_asm(discharge,[dt_c1_7_1_3__bvfunc14])],[dt_c1_7_1_3__bvfunc14,i1_7_1_3__bvfunc14]),
    [interesting(0.65),e17_7_1__bvfunc14]).

fof(e17_7_1__bvfunc14,plain,(
    r1_tarski(k2_relat_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14))),k1_zfmisc_1(c1_7__bvfunc14)) ),
    inference(let,[status(thm),assumptions([dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[i1_7_1_3_tmp__bvfunc14,dt_m1_subset_1,rc1_subset_1,rc2_subset_1,dt_m1_eqrel_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,idempotence_k1_funct_4,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_funct_4,dt_k1_zfmisc_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_c1_7__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,fc1_subset_1,d3_tarski,dh_c1_7_1_3__bvfunc14]),
    [interesting(0.65),file(bvfunc14,e17_7_1__bvfunc14),[file(bvfunc14,e17_7_1__bvfunc14)]]).

fof(e18_7_1__bvfunc14,plain,(
    m1_subset_1(k2_relat_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14))),k1_zfmisc_1(k1_zfmisc_1(c1_7__bvfunc14))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,existence_m1_eqrel_1,dt_m1_eqrel_1,cc1_eqrel_1,cc2_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,idempotence_k1_funct_4,reflexivity_r1_tarski,existence_m1_subset_1,dt_k1_funct_4,dt_k1_zfmisc_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_m1_subset_1,dt_c1_7__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,fc1_subset_1,t3_subset,e17_7_1__bvfunc14]),
    [interesting(0.65),file(bvfunc14,e18_7_1__bvfunc14),[file(bvfunc14,e18_7_1__bvfunc14)]]).

fof(dt_c7_7_1__bvfunc14,plain,(
    m1_subset_1(c7_7_1__bvfunc14,k1_zfmisc_1(k1_zfmisc_1(c1_7__bvfunc14))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,reflexivity_r1_tarski,existence_m1_eqrel_1,dt_m1_eqrel_1,cc1_eqrel_1,cc2_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,idempotence_k1_funct_4,existence_m1_subset_1,dt_k1_funct_4,dt_k1_zfmisc_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_m1_subset_1,dt_c1_7__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,fc1_subset_1,t3_subset,de_c7_7_1__bvfunc14,e18_7_1__bvfunc14]),
    [interesting(0.65),file(bvfunc14,c7_7_1__bvfunc14),[file(bvfunc14,c7_7_1__bvfunc14)]]).

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

fof(symmetry_r1_xboole_0,theorem,(
    ! [A,B] : 
      ( r1_xboole_0(A,B)
     => r1_xboole_0(B,A) ) ),
    file(xboole_0,r1_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,r1_xboole_0)]).

fof(redefinition_k5_setfam_1,definition,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => k5_setfam_1(A,B) = k3_tarski(B) ) ),
    file(setfam_1,k5_setfam_1),
    [interesting(0.9),axiom,file(setfam_1,k5_setfam_1)]).

fof(dt_k5_setfam_1,axiom,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => m1_subset_1(k5_setfam_1(A,B),k1_zfmisc_1(A)) ) ),
    file(setfam_1,k5_setfam_1),
    [interesting(0.9),axiom,file(setfam_1,k5_setfam_1)]).

fof(d6_eqrel_1,definition,(
    ! [A,B] : 
      ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))
     => ( ( A != k1_xboole_0
         => ( m1_eqrel_1(B,A)
          <=> ( k5_setfam_1(A,B) = A
              & ! [C] : 
                  ( m1_subset_1(C,k1_zfmisc_1(A))
                 => ( r2_hidden(C,B)
                   => ( C != k1_xboole_0
                      & ! [D] : 
                          ( m1_subset_1(D,k1_zfmisc_1(A))
                         => ~ ( r2_hidden(D,B)
                              & C != D
                              & ~ r1_xboole_0(C,D) ) ) ) ) ) ) ) )
        & ( A = k1_xboole_0
         => ( m1_eqrel_1(B,A)
          <=> B = k1_xboole_0 ) ) ) ) ),
    file(eqrel_1,d6_eqrel_1),
    [interesting(0.9),axiom,file(eqrel_1,d6_eqrel_1)]).

fof(e23_7_1__bvfunc14,plain,(
    c1_7_1__bvfunc14 != k1_xboole_0 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,dt_k3_tarski,cc1_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t5_subset,t8_boole,commutativity_k2_partit1,symmetry_r1_xboole_0,antisymmetry_r2_hidden,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k5_setfam_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_partit1,dt_k5_setfam_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,cc2_eqrel_1,fc1_subset_1,fc1_xboole_0,t1_subset,t3_subset,t4_subset,t6_boole,t7_boole,e1_7_1__bvfunc14,d6_eqrel_1]),
    [interesting(0.65),file(bvfunc14,e23_7_1__bvfunc14),[file(bvfunc14,e23_7_1__bvfunc14)]]).

fof(l3_bvfunc14,plain,(
    ! [A,B,C,D,E,F] : k1_relat_1(k1_funct_4(k1_funct_4(k3_cqc_lang(A,D),k3_cqc_lang(B,E)),k3_cqc_lang(C,F))) = k1_enumset1(A,B,C) ),
    file(bvfunc14,l3_bvfunc14),
    [interesting(0.9),axiom,file(bvfunc14,l3_bvfunc14)]).

fof(e10_7_1__bvfunc14,plain,(
    k1_relat_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14))) = k1_enumset1(c3_7__bvfunc14,c4_7__bvfunc14,c5_7__bvfunc14) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,cc1_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,existence_m1_eqrel_1,dt_m1_eqrel_1,dt_c1_7__bvfunc14,cc2_eqrel_1,idempotence_k1_funct_4,dt_k1_enumset1,dt_k1_funct_4,dt_k1_relat_1,dt_k3_cqc_lang,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,l3_bvfunc14]),
    [interesting(0.65),file(bvfunc14,e10_7_1__bvfunc14),[file(bvfunc14,e10_7_1__bvfunc14)]]).

fof(dh_c1_7_1_1__bvfunc14,definition,
    ( ( r2_hidden(c1_7_1_1__bvfunc14,c2_7__bvfunc14)
     => r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c1_7_1_1__bvfunc14),c1_7_1_1__bvfunc14) )
   => ! [A] : 
        ( r2_hidden(A,c2_7__bvfunc14)
       => r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),A),A) ) ),
    introduced(definition,[new_symbol(c1_7_1_1__bvfunc14),file(bvfunc14,c1_7_1_1__bvfunc14)]),
    [interesting(0.5),axiom,file(bvfunc14,c1_7_1_1__bvfunc14)]).

fof(e1_7_1_1__bvfunc14,assumption,(
    r2_hidden(c1_7_1_1__bvfunc14,c2_7__bvfunc14) ),
    introduced(assumption,[file(bvfunc14,e1_7_1_1__bvfunc14)]),
    [interesting(0.5),axiom,file(bvfunc14,e1_7_1_1__bvfunc14)]).

fof(dt_c1_7_1_1__bvfunc14,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc14,c1_7_1_1__bvfunc14)]),
    [interesting(0.5),axiom,file(bvfunc14,c1_7_1_1__bvfunc14)]).

fof(e1_7_1_1_1_1_1__bvfunc14,assumption,(
    c1_7_1_1__bvfunc14 = c5_7__bvfunc14 ),
    introduced(assumption,[file(bvfunc14,e1_7_1_1_1_1_1__bvfunc14)]),
    [interesting(0.05),axiom,file(bvfunc14,e1_7_1_1_1_1_1__bvfunc14)]).

fof(e2_7_1_1_1_1_1__bvfunc14,plain,(
    r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c1_7_1_1__bvfunc14),c1_7_1_1__bvfunc14) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_1__bvfunc14,e1_7_1_1_1_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,commutativity_k2_partit1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k2_partit1,dt_k3_cqc_lang,dt_k3_xboole_0,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c1_7_1_1__bvfunc14,dt_c2_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,t1_subset,t7_boole,e1_7_1_1_1_1_1__bvfunc14,e5_7_1__bvfunc14,t3_yellow14]),
    [interesting(0.05),file(bvfunc14,e2_7_1_1_1_1_1__bvfunc14),[file(bvfunc14,e2_7_1_1_1_1_1__bvfunc14)]]).

fof(i2_7_1_1_1_1_1__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i2_7_1_1_1_1_1__bvfunc14)]),
    [interesting(0.05),trivial,file(bvfunc14,i2_7_1_1_1_1_1__bvfunc14)]).

fof(i1_7_1_1_1_1_1__bvfunc14,plain,(
    r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c1_7_1_1__bvfunc14),c1_7_1_1__bvfunc14) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_7_1_1__bvfunc14,e1_7_1_1_1_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[e2_7_1_1_1_1_1__bvfunc14,i2_7_1_1_1_1_1__bvfunc14]),
    [interesting(0.05),file(bvfunc14,i1_7_1_1_1_1_1__bvfunc14),[file(bvfunc14,i1_7_1_1_1_1_1__bvfunc14)]]).

fof(i1_7_1_1_1_1__bvfunc14,plain,
    ( c1_7_1_1__bvfunc14 = c5_7__bvfunc14
   => ( c1_7_1_1__bvfunc14 = c5_7__bvfunc14
      & r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c1_7_1_1__bvfunc14),c1_7_1_1__bvfunc14) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14]),discharge_asm(discharge,[e1_7_1_1_1_1_1__bvfunc14])],[e1_7_1_1_1_1_1__bvfunc14,i1_7_1_1_1_1_1__bvfunc14]),
    [interesting(0.2),file(bvfunc14,i1_7_1_1_1_1__bvfunc14),[file(bvfunc14,i1_7_1_1_1_1__bvfunc14)]]).

fof(e1_7_1_1_1_1_2__bvfunc14,assumption,(
    c1_7_1_1__bvfunc14 = c3_7__bvfunc14 ),
    introduced(assumption,[file(bvfunc14,e1_7_1_1_1_1_2__bvfunc14)]),
    [interesting(0.05),axiom,file(bvfunc14,e1_7_1_1_1_1_2__bvfunc14)]).

fof(e2_7_1_1_1_1_2__bvfunc14,plain,(
    r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c1_7_1_1__bvfunc14),c1_7_1_1__bvfunc14) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_1__bvfunc14,dt_c2_7__bvfunc14,e1_7_1_1_1_1_2__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,t2_boole,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,idempotence_k1_funct_4,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k3_xboole_0,dt_c1_7_1_1__bvfunc14,dt_c2_7__bvfunc14,dt_c2_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,t1_subset,t7_boole,e1_7_1_1_1_1_2__bvfunc14,e1_7__bvfunc14,e9_7_1__bvfunc14,l5_bvfunc14]),
    [interesting(0.05),file(bvfunc14,e2_7_1_1_1_1_2__bvfunc14),[file(bvfunc14,e2_7_1_1_1_1_2__bvfunc14)]]).

fof(i2_7_1_1_1_1_2__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i2_7_1_1_1_1_2__bvfunc14)]),
    [interesting(0.05),trivial,file(bvfunc14,i2_7_1_1_1_1_2__bvfunc14)]).

fof(i1_7_1_1_1_1_2__bvfunc14,plain,(
    r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c1_7_1_1__bvfunc14),c1_7_1_1__bvfunc14) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_7_1_1__bvfunc14,dt_c2_7__bvfunc14,e1_7_1_1_1_1_2__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[e2_7_1_1_1_1_2__bvfunc14,i2_7_1_1_1_1_2__bvfunc14]),
    [interesting(0.05),file(bvfunc14,i1_7_1_1_1_1_2__bvfunc14),[file(bvfunc14,i1_7_1_1_1_1_2__bvfunc14)]]).

fof(i2_7_1_1_1_1__bvfunc14,plain,
    ( c1_7_1_1__bvfunc14 = c3_7__bvfunc14
   => ( c1_7_1_1__bvfunc14 = c3_7__bvfunc14
      & r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c1_7_1_1__bvfunc14),c1_7_1_1__bvfunc14) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7_1_1__bvfunc14,dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14]),discharge_asm(discharge,[e1_7_1_1_1_1_2__bvfunc14])],[e1_7_1_1_1_1_2__bvfunc14,i1_7_1_1_1_1_2__bvfunc14]),
    [interesting(0.2),file(bvfunc14,i2_7_1_1_1_1__bvfunc14),[file(bvfunc14,i2_7_1_1_1_1__bvfunc14)]]).

fof(e1_7_1_1_1_1_3__bvfunc14,assumption,(
    c1_7_1_1__bvfunc14 = c4_7__bvfunc14 ),
    introduced(assumption,[file(bvfunc14,e1_7_1_1_1_1_3__bvfunc14)]),
    [interesting(0.05),axiom,file(bvfunc14,e1_7_1_1_1_1_3__bvfunc14)]).

fof(e2_7_1_1_1_1_3__bvfunc14,plain,(
    r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c1_7_1_1__bvfunc14),c1_7_1_1__bvfunc14) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_1__bvfunc14,dt_c2_7__bvfunc14,e1_7_1_1_1_1_3__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,t2_boole,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,idempotence_k1_funct_4,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k3_xboole_0,dt_c1_7_1_1__bvfunc14,dt_c2_7__bvfunc14,dt_c2_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,t1_subset,t7_boole,e1_7_1_1_1_1_3__bvfunc14,e1_7__bvfunc14,e9_7_1__bvfunc14,l4_bvfunc14]),
    [interesting(0.05),file(bvfunc14,e2_7_1_1_1_1_3__bvfunc14),[file(bvfunc14,e2_7_1_1_1_1_3__bvfunc14)]]).

fof(i2_7_1_1_1_1_3__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i2_7_1_1_1_1_3__bvfunc14)]),
    [interesting(0.05),trivial,file(bvfunc14,i2_7_1_1_1_1_3__bvfunc14)]).

fof(i1_7_1_1_1_1_3__bvfunc14,plain,(
    r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c1_7_1_1__bvfunc14),c1_7_1_1__bvfunc14) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_7_1_1__bvfunc14,dt_c2_7__bvfunc14,e1_7_1_1_1_1_3__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[e2_7_1_1_1_1_3__bvfunc14,i2_7_1_1_1_1_3__bvfunc14]),
    [interesting(0.05),file(bvfunc14,i1_7_1_1_1_1_3__bvfunc14),[file(bvfunc14,i1_7_1_1_1_1_3__bvfunc14)]]).

fof(i3_7_1_1_1_1__bvfunc14,plain,
    ( c1_7_1_1__bvfunc14 = c4_7__bvfunc14
   => ( c1_7_1_1__bvfunc14 = c4_7__bvfunc14
      & r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c1_7_1_1__bvfunc14),c1_7_1_1__bvfunc14) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7_1_1__bvfunc14,dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14]),discharge_asm(discharge,[e1_7_1_1_1_1_3__bvfunc14])],[e1_7_1_1_1_1_3__bvfunc14,i1_7_1_1_1_1_3__bvfunc14]),
    [interesting(0.2),file(bvfunc14,i3_7_1_1_1_1__bvfunc14),[file(bvfunc14,i3_7_1_1_1_1__bvfunc14)]]).

fof(e1_7_1_1_1_1__bvfunc14,plain,(
    ~ ( c1_7_1_1__bvfunc14 != c5_7__bvfunc14
      & c1_7_1_1__bvfunc14 != c3_7__bvfunc14
      & c1_7_1_1__bvfunc14 != c4_7__bvfunc14 ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1_1__bvfunc14,dt_c2_7__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,e1_7_1_1__bvfunc14])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,antisymmetry_r2_hidden,dt_k1_enumset1,dt_c1_7_1_1__bvfunc14,dt_c2_7__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,t1_subset,t7_boole,e1_7__bvfunc14,e1_7_1_1__bvfunc14,d1_enumset1]),
    [interesting(0.2),file(bvfunc14,e1_7_1_1_1_1__bvfunc14),[file(bvfunc14,e1_7_1_1_1_1__bvfunc14)]]).

fof(e2_7_1_1__bvfunc14,plain,(
    ~ ( ~ ( c1_7_1_1__bvfunc14 = c5_7__bvfunc14
          & r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c1_7_1_1__bvfunc14),c1_7_1_1__bvfunc14) )
      & ~ ( c1_7_1_1__bvfunc14 = c3_7__bvfunc14
          & r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c1_7_1_1__bvfunc14),c1_7_1_1__bvfunc14) )
      & ~ ( c1_7_1_1__bvfunc14 = c4_7__bvfunc14
          & r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c1_7_1_1__bvfunc14),c1_7_1_1__bvfunc14) ) ) ),
    inference(percases,[status(thm),assumptions([dt_c1_7_1__bvfunc14,e1_7_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1_1__bvfunc14,dt_c2_7__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,e1_7_1_1__bvfunc14])],[i1_7_1_1_1_1__bvfunc14,i2_7_1_1_1_1__bvfunc14,i3_7_1_1_1_1__bvfunc14,e1_7_1_1_1_1__bvfunc14]),
    [interesting(0.5),file(bvfunc14,e2_7_1_1__bvfunc14),[file(bvfunc14,e2_7_1_1__bvfunc14)]]).

fof(e3_7_1_1__bvfunc14,plain,(
    r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c1_7_1_1__bvfunc14),c1_7_1_1__bvfunc14) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1__bvfunc14,e1_7_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1_1__bvfunc14,dt_c2_7__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,e1_7_1_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_c1_7_1_1__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,t1_subset,t7_boole,e2_7_1_1__bvfunc14]),
    [interesting(0.5),file(bvfunc14,e3_7_1_1__bvfunc14),[file(bvfunc14,e3_7_1_1__bvfunc14)]]).

fof(i3_7_1_1__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i3_7_1_1__bvfunc14)]),
    [interesting(0.5),trivial,file(bvfunc14,i3_7_1_1__bvfunc14)]).

fof(i2_7_1_1__bvfunc14,plain,(
    r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c1_7_1_1__bvfunc14),c1_7_1_1__bvfunc14) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_7_1__bvfunc14,e1_7_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1_1__bvfunc14,dt_c2_7__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14,e1_7_1_1__bvfunc14])],[e3_7_1_1__bvfunc14,i3_7_1_1__bvfunc14]),
    [interesting(0.5),file(bvfunc14,i2_7_1_1__bvfunc14),[file(bvfunc14,i2_7_1_1__bvfunc14)]]).

fof(i1_7_1_1__bvfunc14,plain,
    ( r2_hidden(c1_7_1_1__bvfunc14,c2_7__bvfunc14)
   => r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c1_7_1_1__bvfunc14),c1_7_1_1__bvfunc14) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7_1__bvfunc14,e1_7_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1_1__bvfunc14,dt_c2_7__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14]),discharge_asm(discharge,[e1_7_1_1__bvfunc14])],[e1_7_1_1__bvfunc14,i2_7_1_1__bvfunc14]),
    [interesting(0.5),file(bvfunc14,i1_7_1_1__bvfunc14),[file(bvfunc14,i1_7_1_1__bvfunc14)]]).

fof(i1_7_1_1_tmp__bvfunc14,plain,
    ( r2_hidden(c1_7_1_1__bvfunc14,c2_7__bvfunc14)
   => r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c1_7_1_1__bvfunc14),c1_7_1_1__bvfunc14) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7_1__bvfunc14,e1_7_1__bvfunc14,dt_c1_7__bvfunc14,dt_c2_7__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14]),discharge_asm(discharge,[dt_c1_7_1_1__bvfunc14])],[dt_c1_7_1_1__bvfunc14,i1_7_1_1__bvfunc14]),
    [interesting(0.65),e14_7_1__bvfunc14]).

fof(e14_7_1__bvfunc14,plain,(
    ! [A] : 
      ( r2_hidden(A,c2_7__bvfunc14)
     => r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),A),A) ) ),
    inference(let,[status(thm),assumptions([dt_c1_7_1__bvfunc14,e1_7_1__bvfunc14,dt_c1_7__bvfunc14,dt_c2_7__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7__bvfunc14])],[i1_7_1_1_tmp__bvfunc14,dh_c1_7_1_1__bvfunc14]),
    [interesting(0.65),file(bvfunc14,e14_7_1__bvfunc14),[file(bvfunc14,e14_7_1__bvfunc14)]]).

fof(dt_c1_7_1_5__bvfunc14,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc14,c1_7_1_5__bvfunc14)]),
    [interesting(0.5),axiom,file(bvfunc14,c1_7_1_5__bvfunc14)]).

fof(dh_c1_7_1_5__bvfunc14,definition,
    ( ~ ( r2_hidden(c1_7_1_5__bvfunc14,k8_setfam_1(c1_7__bvfunc14,c7_7_1__bvfunc14))
        & ~ r2_hidden(c1_7_1_5__bvfunc14,c1_7_1__bvfunc14) )
   => ! [A] : 
        ~ ( r2_hidden(A,k8_setfam_1(c1_7__bvfunc14,c7_7_1__bvfunc14))
          & ~ r2_hidden(A,c1_7_1__bvfunc14) ) ),
    introduced(definition,[new_symbol(c1_7_1_5__bvfunc14),file(bvfunc14,c1_7_1_5__bvfunc14)]),
    [interesting(0.5),axiom,file(bvfunc14,c1_7_1_5__bvfunc14)]).

fof(e1_7_1_5__bvfunc14,assumption,(
    r2_hidden(c1_7_1_5__bvfunc14,k8_setfam_1(c1_7__bvfunc14,c7_7_1__bvfunc14)) ),
    introduced(assumption,[file(bvfunc14,e1_7_1_5__bvfunc14)]),
    [interesting(0.5),axiom,file(bvfunc14,e1_7_1_5__bvfunc14)]).

fof(e3_7_1_5__bvfunc14,plain,
    ( r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c3_7__bvfunc14),k1_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c5_7__bvfunc14),k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c3_7__bvfunc14),k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c4_7__bvfunc14)))
    & r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c4_7__bvfunc14),k1_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c5_7__bvfunc14),k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c3_7__bvfunc14),k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c4_7__bvfunc14)))
    & r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c5_7__bvfunc14),k1_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c5_7__bvfunc14),k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c3_7__bvfunc14),k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c4_7__bvfunc14))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,t1_subset,t7_boole,d1_enumset1]),
    [interesting(0.5),file(bvfunc14,e3_7_1_5__bvfunc14),[file(bvfunc14,e3_7_1_5__bvfunc14)]]).

fof(e15_7_1__bvfunc14,plain,(
    r2_hidden(c5_7__bvfunc14,k1_relat_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_funct_4,dt_k1_relat_1,dt_k3_cqc_lang,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,t1_subset,t7_boole,e10_7_1__bvfunc14,d1_enumset1]),
    [interesting(0.65),file(bvfunc14,e15_7_1__bvfunc14),[file(bvfunc14,e15_7_1__bvfunc14)]]).

fof(t12_funct_1,theorem,(
    ! [A,B] : 
      ( ( v1_relat_1(B)
        & v1_funct_1(B) )
     => ( r2_hidden(A,k1_relat_1(B))
       => r2_hidden(k1_funct_1(B,A),k2_relat_1(B)) ) ) ),
    file(funct_1,t12_funct_1),
    [interesting(0.9),axiom,file(funct_1,t12_funct_1)]).

fof(e19_7_1__bvfunc14,plain,(
    k2_relat_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14))) != k1_xboole_0 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k1_relat_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k3_cqc_lang,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e15_7_1__bvfunc14,t12_funct_1]),
    [interesting(0.65),file(bvfunc14,e19_7_1__bvfunc14),[file(bvfunc14,e19_7_1__bvfunc14)]]).

fof(e2_7_1_5__bvfunc14,plain,(
    r2_hidden(c1_7_1_5__bvfunc14,k1_setfam_1(k2_relat_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14))))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_5__bvfunc14,dt_c2_7__bvfunc14,e1_7__bvfunc14,e1_7_1_5__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,existence_m1_eqrel_1,dt_m1_eqrel_1,cc1_eqrel_1,cc2_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t5_subset,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,existence_m1_subset_1,redefinition_k6_setfam_1,dt_k1_funct_4,dt_k1_setfam_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_k6_setfam_1,dt_k8_setfam_1,dt_m1_subset_1,dt_c1_7__bvfunc14,dt_c1_7_1_5__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,dt_c7_7_1__bvfunc14,de_c7_7_1__bvfunc14,fc1_cqc_lang,fc1_subset_1,fc1_xboole_0,t1_subset,t3_subset,t4_subset,t6_boole,t7_boole,e1_7_1_5__bvfunc14,e19_7_1__bvfunc14,d10_setfam_1]),
    [interesting(0.5),file(bvfunc14,e2_7_1_5__bvfunc14),[file(bvfunc14,e2_7_1_5__bvfunc14)]]).

fof(e4_7_1_5__bvfunc14,plain,
    ( r2_hidden(c1_7_1_5__bvfunc14,k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c3_7__bvfunc14))
    & r2_hidden(c1_7_1_5__bvfunc14,k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c4_7__bvfunc14))
    & r2_hidden(c1_7_1_5__bvfunc14,k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c5_7__bvfunc14)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_5__bvfunc14,dt_c2_7__bvfunc14,e1_7__bvfunc14,e1_7_1_5__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_zfmisc_1,fc1_subset_1,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_funct_1,dt_k1_funct_4,dt_k1_setfam_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k3_cqc_lang,dt_c1_7_1_5__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e3_7_1_5__bvfunc14,e16_7_1__bvfunc14,e2_7_1_5__bvfunc14,d1_setfam_1]),
    [interesting(0.5),file(bvfunc14,e4_7_1_5__bvfunc14),[file(bvfunc14,e4_7_1_5__bvfunc14)]]).

fof(e5_7_1_5__bvfunc14,plain,
    ( r2_hidden(c1_7_1_5__bvfunc14,c4_7_1__bvfunc14)
    & r2_hidden(c1_7_1_5__bvfunc14,c5_7_1__bvfunc14)
    & r2_hidden(c1_7_1_5__bvfunc14,c3_7_1__bvfunc14) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_5__bvfunc14,dt_c2_7__bvfunc14,e1_7_1_5__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7__bvfunc14])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_c1_7_1_5__bvfunc14,dt_c2_7__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,t1_subset,t7_boole,e4_7_1_5__bvfunc14,e1_7__bvfunc14,l4_bvfunc14,l5_bvfunc14,t3_yellow14]),
    [interesting(0.5),file(bvfunc14,e5_7_1_5__bvfunc14),[file(bvfunc14,e5_7_1_5__bvfunc14)]]).

fof(e6_7_1_5__bvfunc14,plain,(
    r2_hidden(c1_7_1_5__bvfunc14,k3_xboole_0(c4_7_1__bvfunc14,c5_7_1__bvfunc14)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_5__bvfunc14,dt_c2_7__bvfunc14,e1_7_1_5__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7__bvfunc14])],[dt_k1_xboole_0,fc1_xboole_0,t2_boole,existence_m1_subset_1,dt_m1_subset_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k3_xboole_0,dt_c1_7_1_5__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7_1__bvfunc14,t1_subset,t7_boole,e5_7_1_5__bvfunc14,d3_xboole_0]),
    [interesting(0.5),file(bvfunc14,e6_7_1_5__bvfunc14),[file(bvfunc14,e6_7_1_5__bvfunc14)]]).

fof(e7_7_1_5__bvfunc14,plain,(
    r2_hidden(c1_7_1_5__bvfunc14,c1_7_1__bvfunc14) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_5__bvfunc14,dt_c2_7__bvfunc14,e1_7__bvfunc14,e1_7_1_5__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,commutativity_k2_partit1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k2_partit1,dt_k3_cqc_lang,dt_k3_xboole_0,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c1_7_1_5__bvfunc14,dt_c2_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,t1_subset,t7_boole,e6_7_1_5__bvfunc14,e5_7_1__bvfunc14,e9_7_1__bvfunc14,e11_7_1__bvfunc14,e4_7_1_5__bvfunc14,d3_xboole_0]),
    [interesting(0.5),file(bvfunc14,e7_7_1_5__bvfunc14),[file(bvfunc14,e7_7_1_5__bvfunc14)]]).

fof(i3_7_1_5__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i3_7_1_5__bvfunc14)]),
    [interesting(0.5),trivial,file(bvfunc14,i3_7_1_5__bvfunc14)]).

fof(i2_7_1_5__bvfunc14,plain,(
    r2_hidden(c1_7_1_5__bvfunc14,c1_7_1__bvfunc14) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_7_1_5__bvfunc14,dt_c2_7__bvfunc14,e1_7__bvfunc14,e1_7_1_5__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[e7_7_1_5__bvfunc14,i3_7_1_5__bvfunc14]),
    [interesting(0.5),file(bvfunc14,i2_7_1_5__bvfunc14),[file(bvfunc14,i2_7_1_5__bvfunc14)]]).

fof(i1_7_1_5__bvfunc14,plain,(
    ~ ( r2_hidden(c1_7_1_5__bvfunc14,k8_setfam_1(c1_7__bvfunc14,c7_7_1__bvfunc14))
      & ~ r2_hidden(c1_7_1_5__bvfunc14,c1_7_1__bvfunc14) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7_1_5__bvfunc14,dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14]),discharge_asm(discharge,[e1_7_1_5__bvfunc14])],[e1_7_1_5__bvfunc14,i2_7_1_5__bvfunc14]),
    [interesting(0.5),file(bvfunc14,i1_7_1_5__bvfunc14),[file(bvfunc14,i1_7_1_5__bvfunc14)]]).

fof(i1_7_1_5_tmp__bvfunc14,plain,(
    ~ ( r2_hidden(c1_7_1_5__bvfunc14,k8_setfam_1(c1_7__bvfunc14,c7_7_1__bvfunc14))
      & ~ r2_hidden(c1_7_1_5__bvfunc14,c1_7_1__bvfunc14) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14]),discharge_asm(discharge,[dt_c1_7_1_5__bvfunc14])],[dt_c1_7_1_5__bvfunc14,i1_7_1_5__bvfunc14]),
    [interesting(0.65),e21_7_1__bvfunc14]).

fof(e21_7_1__bvfunc14,plain,(
    r1_tarski(k8_setfam_1(c1_7__bvfunc14,c7_7_1__bvfunc14),c1_7_1__bvfunc14) ),
    inference(let,[status(thm),assumptions([dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[i1_7_1_5_tmp__bvfunc14,dt_k1_zfmisc_1,dt_m1_subset_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k8_setfam_1,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c7_7_1__bvfunc14,d3_tarski,dh_c1_7_1_5__bvfunc14]),
    [interesting(0.65),file(bvfunc14,e21_7_1__bvfunc14),[file(bvfunc14,e21_7_1__bvfunc14)]]).

fof(dt_c1_7_1_4__bvfunc14,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc14,c1_7_1_4__bvfunc14)]),
    [interesting(0.5),axiom,file(bvfunc14,c1_7_1_4__bvfunc14)]).

fof(dh_c1_7_1_4__bvfunc14,definition,
    ( ~ ( r2_hidden(c1_7_1_4__bvfunc14,c1_7_1__bvfunc14)
        & ~ r2_hidden(c1_7_1_4__bvfunc14,k8_setfam_1(c1_7__bvfunc14,c7_7_1__bvfunc14)) )
   => ! [A] : 
        ~ ( r2_hidden(A,c1_7_1__bvfunc14)
          & ~ r2_hidden(A,k8_setfam_1(c1_7__bvfunc14,c7_7_1__bvfunc14)) ) ),
    introduced(definition,[new_symbol(c1_7_1_4__bvfunc14),file(bvfunc14,c1_7_1_4__bvfunc14)]),
    [interesting(0.5),axiom,file(bvfunc14,c1_7_1_4__bvfunc14)]).

fof(e1_7_1_4__bvfunc14,assumption,(
    r2_hidden(c1_7_1_4__bvfunc14,c1_7_1__bvfunc14) ),
    introduced(assumption,[file(bvfunc14,e1_7_1_4__bvfunc14)]),
    [interesting(0.5),axiom,file(bvfunc14,e1_7_1_4__bvfunc14)]).

fof(dh_c1_7_1_4_1__bvfunc14,definition,
    ( ( r2_hidden(c1_7_1_4_1__bvfunc14,c7_7_1__bvfunc14)
     => r2_hidden(c1_7_1_4__bvfunc14,c1_7_1_4_1__bvfunc14) )
   => ! [A] : 
        ( r2_hidden(A,c7_7_1__bvfunc14)
       => r2_hidden(c1_7_1_4__bvfunc14,A) ) ),
    introduced(definition,[new_symbol(c1_7_1_4_1__bvfunc14),file(bvfunc14,c1_7_1_4_1__bvfunc14)]),
    [interesting(0.35),axiom,file(bvfunc14,c1_7_1_4_1__bvfunc14)]).

fof(e1_7_1_4_1__bvfunc14,assumption,(
    r2_hidden(c1_7_1_4_1__bvfunc14,c7_7_1__bvfunc14) ),
    introduced(assumption,[file(bvfunc14,e1_7_1_4_1__bvfunc14)]),
    [interesting(0.35),axiom,file(bvfunc14,e1_7_1_4_1__bvfunc14)]).

fof(dt_c1_7_1_4_1__bvfunc14,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc14,c1_7_1_4_1__bvfunc14)]),
    [interesting(0.35),axiom,file(bvfunc14,c1_7_1_4_1__bvfunc14)]).

fof(e1_7_1_4_1_1_1_1__bvfunc14,assumption,(
    c1_7_1_4_1__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c5_7__bvfunc14) ),
    introduced(assumption,[file(bvfunc14,e1_7_1_4_1_1_1_1__bvfunc14)]),
    [interesting(0.02),axiom,file(bvfunc14,e1_7_1_4_1_1_1_1__bvfunc14)]).

fof(e2_7_1_4_1_1_1_1__bvfunc14,plain,(
    r2_hidden(c1_7_1_4__bvfunc14,c1_7_1_4_1__bvfunc14) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_4__bvfunc14,dt_c1_7_1_4_1__bvfunc14,e1_7_1_4_1_1_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7_1_4__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,commutativity_k2_partit1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k2_partit1,dt_k3_cqc_lang,dt_k3_xboole_0,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c1_7_1_4__bvfunc14,dt_c1_7_1_4_1__bvfunc14,dt_c2_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,t1_subset,t7_boole,e1_7_1_4_1_1_1_1__bvfunc14,e5_7_1__bvfunc14,e11_7_1__bvfunc14,e1_7_1_4__bvfunc14,d3_xboole_0]),
    [interesting(0.02),file(bvfunc14,e2_7_1_4_1_1_1_1__bvfunc14),[file(bvfunc14,e2_7_1_4_1_1_1_1__bvfunc14)]]).

fof(i2_7_1_4_1_1_1_1__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i2_7_1_4_1_1_1_1__bvfunc14)]),
    [interesting(0.02),trivial,file(bvfunc14,i2_7_1_4_1_1_1_1__bvfunc14)]).

fof(i1_7_1_4_1_1_1_1__bvfunc14,plain,(
    r2_hidden(c1_7_1_4__bvfunc14,c1_7_1_4_1__bvfunc14) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_7_1_4__bvfunc14,dt_c1_7_1_4_1__bvfunc14,e1_7_1_4_1_1_1_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7_1_4__bvfunc14])],[e2_7_1_4_1_1_1_1__bvfunc14,i2_7_1_4_1_1_1_1__bvfunc14]),
    [interesting(0.02),file(bvfunc14,i1_7_1_4_1_1_1_1__bvfunc14),[file(bvfunc14,i1_7_1_4_1_1_1_1__bvfunc14)]]).

fof(i1_7_1_4_1_1_1__bvfunc14,plain,
    ( c1_7_1_4_1__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c5_7__bvfunc14)
   => ( c1_7_1_4_1__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c5_7__bvfunc14)
      & r2_hidden(c1_7_1_4__bvfunc14,c1_7_1_4_1__bvfunc14) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7_1_4__bvfunc14,dt_c1_7_1_4_1__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7_1_4__bvfunc14]),discharge_asm(discharge,[e1_7_1_4_1_1_1_1__bvfunc14])],[e1_7_1_4_1_1_1_1__bvfunc14,i1_7_1_4_1_1_1_1__bvfunc14]),
    [interesting(0.05),file(bvfunc14,i1_7_1_4_1_1_1__bvfunc14),[file(bvfunc14,i1_7_1_4_1_1_1__bvfunc14)]]).

fof(e1_7_1_4_1_1_1_2__bvfunc14,assumption,(
    c1_7_1_4_1__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c3_7__bvfunc14) ),
    introduced(assumption,[file(bvfunc14,e1_7_1_4_1_1_1_2__bvfunc14)]),
    [interesting(0.02),axiom,file(bvfunc14,e1_7_1_4_1_1_1_2__bvfunc14)]).

fof(t16_xboole_1,theorem,(
    ! [A,B,C] : k3_xboole_0(k3_xboole_0(A,B),C) = k3_xboole_0(A,k3_xboole_0(B,C)) ),
    file(xboole_1,t16_xboole_1),
    [interesting(0.9),axiom,file(xboole_1,t16_xboole_1)]).

fof(e2_7_1_4_1_1_1_2__bvfunc14,plain,(
    r2_hidden(c1_7_1_4__bvfunc14,k3_xboole_0(c4_7_1__bvfunc14,k3_xboole_0(c5_7_1__bvfunc14,c3_7_1__bvfunc14))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_4__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7_1_4__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k2_partit1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k2_partit1,dt_k3_xboole_0,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c1_7_1_4__bvfunc14,dt_c2_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,t1_subset,t7_boole,e5_7_1__bvfunc14,e9_7_1__bvfunc14,e1_7_1_4__bvfunc14,t16_xboole_1]),
    [interesting(0.02),file(bvfunc14,e2_7_1_4_1_1_1_2__bvfunc14),[file(bvfunc14,e2_7_1_4_1_1_1_2__bvfunc14)]]).

fof(e12_7_1__bvfunc14,plain,(
    k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c3_7__bvfunc14) = c4_7_1__bvfunc14 ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7__bvfunc14])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_m1_t_1topsp,cc1_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc2_eqrel_1,fc1_subset_1,t3_subset,idempotence_k1_funct_4,dt_k1_enumset1,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_c2_7__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,e1_7__bvfunc14,l5_bvfunc14]),
    [interesting(0.65),file(bvfunc14,e12_7_1__bvfunc14),[file(bvfunc14,e12_7_1__bvfunc14)]]).

fof(e3_7_1_4_1_1_1_2__bvfunc14,plain,(
    r2_hidden(c1_7_1_4__bvfunc14,c1_7_1_4_1__bvfunc14) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_4_1__bvfunc14,dt_c1_7_1_4__bvfunc14,e1_7_1_4__bvfunc14,dt_c2_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7__bvfunc14,e1_7_1_4_1_1_1_2__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k3_xboole_0,dt_c1_7_1_4__bvfunc14,dt_c1_7_1_4_1__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,t1_subset,t7_boole,e2_7_1_4_1_1_1_2__bvfunc14,e12_7_1__bvfunc14,e1_7_1_4_1_1_1_2__bvfunc14,d3_xboole_0]),
    [interesting(0.02),file(bvfunc14,e3_7_1_4_1_1_1_2__bvfunc14),[file(bvfunc14,e3_7_1_4_1_1_1_2__bvfunc14)]]).

fof(i2_7_1_4_1_1_1_2__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i2_7_1_4_1_1_1_2__bvfunc14)]),
    [interesting(0.02),trivial,file(bvfunc14,i2_7_1_4_1_1_1_2__bvfunc14)]).

fof(i1_7_1_4_1_1_1_2__bvfunc14,plain,(
    r2_hidden(c1_7_1_4__bvfunc14,c1_7_1_4_1__bvfunc14) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_7_1_4_1__bvfunc14,dt_c1_7_1_4__bvfunc14,e1_7_1_4__bvfunc14,dt_c2_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7__bvfunc14,e1_7_1_4_1_1_1_2__bvfunc14])],[e3_7_1_4_1_1_1_2__bvfunc14,i2_7_1_4_1_1_1_2__bvfunc14]),
    [interesting(0.02),file(bvfunc14,i1_7_1_4_1_1_1_2__bvfunc14),[file(bvfunc14,i1_7_1_4_1_1_1_2__bvfunc14)]]).

fof(i2_7_1_4_1_1_1__bvfunc14,plain,
    ( c1_7_1_4_1__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c3_7__bvfunc14)
   => ( c1_7_1_4_1__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c3_7__bvfunc14)
      & r2_hidden(c1_7_1_4__bvfunc14,c1_7_1_4_1__bvfunc14) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7_1_4_1__bvfunc14,dt_c1_7_1_4__bvfunc14,e1_7_1_4__bvfunc14,dt_c2_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7__bvfunc14]),discharge_asm(discharge,[e1_7_1_4_1_1_1_2__bvfunc14])],[e1_7_1_4_1_1_1_2__bvfunc14,i1_7_1_4_1_1_1_2__bvfunc14]),
    [interesting(0.05),file(bvfunc14,i2_7_1_4_1_1_1__bvfunc14),[file(bvfunc14,i2_7_1_4_1_1_1__bvfunc14)]]).

fof(e1_7_1_4_1_1_1_3__bvfunc14,assumption,(
    c1_7_1_4_1__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c4_7__bvfunc14) ),
    introduced(assumption,[file(bvfunc14,e1_7_1_4_1_1_1_3__bvfunc14)]),
    [interesting(0.02),axiom,file(bvfunc14,e1_7_1_4_1_1_1_3__bvfunc14)]).

fof(e2_7_1_4_1_1_1_3__bvfunc14,plain,(
    r2_hidden(c1_7_1_4__bvfunc14,k3_xboole_0(c5_7_1__bvfunc14,k3_xboole_0(c4_7_1__bvfunc14,c3_7_1__bvfunc14))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_4__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7_1_4__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,commutativity_k2_partit1,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k2_partit1,dt_k3_xboole_0,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c1_7_1_4__bvfunc14,dt_c2_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,t1_subset,t7_boole,e5_7_1__bvfunc14,e9_7_1__bvfunc14,e1_7_1_4__bvfunc14,t16_xboole_1]),
    [interesting(0.02),file(bvfunc14,e2_7_1_4_1_1_1_3__bvfunc14),[file(bvfunc14,e2_7_1_4_1_1_1_3__bvfunc14)]]).

fof(e13_7_1__bvfunc14,plain,(
    k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c4_7__bvfunc14) = c5_7_1__bvfunc14 ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7__bvfunc14])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t4_subset,t5_subset,reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_m1_t_1topsp,cc1_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc2_eqrel_1,fc1_subset_1,t3_subset,idempotence_k1_funct_4,dt_k1_enumset1,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_c2_7__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,e1_7__bvfunc14,l4_bvfunc14]),
    [interesting(0.65),file(bvfunc14,e13_7_1__bvfunc14),[file(bvfunc14,e13_7_1__bvfunc14)]]).

fof(e3_7_1_4_1_1_1_3__bvfunc14,plain,(
    r2_hidden(c1_7_1_4__bvfunc14,c1_7_1_4_1__bvfunc14) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_4_1__bvfunc14,dt_c1_7_1_4__bvfunc14,e1_7_1_4__bvfunc14,dt_c2_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7__bvfunc14,e1_7_1_4_1_1_1_3__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t2_boole,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,commutativity_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k3_xboole_0,dt_c1_7_1_4__bvfunc14,dt_c1_7_1_4_1__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,t1_subset,t7_boole,e2_7_1_4_1_1_1_3__bvfunc14,e13_7_1__bvfunc14,e1_7_1_4_1_1_1_3__bvfunc14,d3_xboole_0]),
    [interesting(0.02),file(bvfunc14,e3_7_1_4_1_1_1_3__bvfunc14),[file(bvfunc14,e3_7_1_4_1_1_1_3__bvfunc14)]]).

fof(i2_7_1_4_1_1_1_3__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i2_7_1_4_1_1_1_3__bvfunc14)]),
    [interesting(0.02),trivial,file(bvfunc14,i2_7_1_4_1_1_1_3__bvfunc14)]).

fof(i1_7_1_4_1_1_1_3__bvfunc14,plain,(
    r2_hidden(c1_7_1_4__bvfunc14,c1_7_1_4_1__bvfunc14) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_7_1_4_1__bvfunc14,dt_c1_7_1_4__bvfunc14,e1_7_1_4__bvfunc14,dt_c2_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7__bvfunc14,e1_7_1_4_1_1_1_3__bvfunc14])],[e3_7_1_4_1_1_1_3__bvfunc14,i2_7_1_4_1_1_1_3__bvfunc14]),
    [interesting(0.02),file(bvfunc14,i1_7_1_4_1_1_1_3__bvfunc14),[file(bvfunc14,i1_7_1_4_1_1_1_3__bvfunc14)]]).

fof(i3_7_1_4_1_1_1__bvfunc14,plain,
    ( c1_7_1_4_1__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c4_7__bvfunc14)
   => ( c1_7_1_4_1__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c4_7__bvfunc14)
      & r2_hidden(c1_7_1_4__bvfunc14,c1_7_1_4_1__bvfunc14) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7_1_4_1__bvfunc14,dt_c1_7_1_4__bvfunc14,e1_7_1_4__bvfunc14,dt_c2_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7__bvfunc14]),discharge_asm(discharge,[e1_7_1_4_1_1_1_3__bvfunc14])],[e1_7_1_4_1_1_1_3__bvfunc14,i1_7_1_4_1_1_1_3__bvfunc14]),
    [interesting(0.05),file(bvfunc14,i3_7_1_4_1_1_1__bvfunc14),[file(bvfunc14,i3_7_1_4_1_1_1__bvfunc14)]]).

fof(e1_7_1_4_1_1_1__bvfunc14,plain,(
    ~ ( c1_7_1_4_1__bvfunc14 != k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c5_7__bvfunc14)
      & c1_7_1_4_1__bvfunc14 != k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c3_7__bvfunc14)
      & c1_7_1_4_1__bvfunc14 != k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c4_7__bvfunc14) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_4_1__bvfunc14,dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7_1_4_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,fc1_xboole_0,existence_m1_eqrel_1,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_funct_1,dt_k1_funct_4,dt_k2_relat_1,dt_k3_cqc_lang,dt_c1_7_1_4_1__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,dt_c7_7_1__bvfunc14,de_c7_7_1__bvfunc14,fc1_cqc_lang,t1_subset,t7_boole,e16_7_1__bvfunc14,e1_7_1_4_1__bvfunc14,d1_enumset1]),
    [interesting(0.05),file(bvfunc14,e1_7_1_4_1_1_1__bvfunc14),[file(bvfunc14,e1_7_1_4_1_1_1__bvfunc14)]]).

fof(e2_7_1_4_1__bvfunc14,plain,(
    ~ ( ~ ( c1_7_1_4_1__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c5_7__bvfunc14)
          & r2_hidden(c1_7_1_4__bvfunc14,c1_7_1_4_1__bvfunc14) )
      & ~ ( c1_7_1_4_1__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c3_7__bvfunc14)
          & r2_hidden(c1_7_1_4__bvfunc14,c1_7_1_4_1__bvfunc14) )
      & ~ ( c1_7_1_4_1__bvfunc14 = k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c4_7__bvfunc14)
          & r2_hidden(c1_7_1_4__bvfunc14,c1_7_1_4_1__bvfunc14) ) ) ),
    inference(percases,[status(thm),assumptions([dt_c1_7_1_4__bvfunc14,e1_7_1_4__bvfunc14,dt_c1_7_1_4_1__bvfunc14,dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7_1_4_1__bvfunc14])],[i1_7_1_4_1_1_1__bvfunc14,i2_7_1_4_1_1_1__bvfunc14,i3_7_1_4_1_1_1__bvfunc14,e1_7_1_4_1_1_1__bvfunc14]),
    [interesting(0.35),file(bvfunc14,e2_7_1_4_1__bvfunc14),[file(bvfunc14,e2_7_1_4_1__bvfunc14)]]).

fof(e3_7_1_4_1__bvfunc14,plain,(
    r2_hidden(c1_7_1_4__bvfunc14,c1_7_1_4_1__bvfunc14) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_4__bvfunc14,e1_7_1_4__bvfunc14,dt_c1_7_1_4_1__bvfunc14,dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7_1_4_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_c1_7_1_4__bvfunc14,dt_c1_7_1_4_1__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,t1_subset,t7_boole,e2_7_1_4_1__bvfunc14]),
    [interesting(0.35),file(bvfunc14,e3_7_1_4_1__bvfunc14),[file(bvfunc14,e3_7_1_4_1__bvfunc14)]]).

fof(i3_7_1_4_1__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i3_7_1_4_1__bvfunc14)]),
    [interesting(0.35),trivial,file(bvfunc14,i3_7_1_4_1__bvfunc14)]).

fof(i2_7_1_4_1__bvfunc14,plain,(
    r2_hidden(c1_7_1_4__bvfunc14,c1_7_1_4_1__bvfunc14) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_7_1_4__bvfunc14,e1_7_1_4__bvfunc14,dt_c1_7_1_4_1__bvfunc14,dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14,e1_7_1_4_1__bvfunc14])],[e3_7_1_4_1__bvfunc14,i3_7_1_4_1__bvfunc14]),
    [interesting(0.35),file(bvfunc14,i2_7_1_4_1__bvfunc14),[file(bvfunc14,i2_7_1_4_1__bvfunc14)]]).

fof(i1_7_1_4_1__bvfunc14,plain,
    ( r2_hidden(c1_7_1_4_1__bvfunc14,c7_7_1__bvfunc14)
   => r2_hidden(c1_7_1_4__bvfunc14,c1_7_1_4_1__bvfunc14) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7_1_4__bvfunc14,e1_7_1_4__bvfunc14,dt_c1_7_1_4_1__bvfunc14,dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14]),discharge_asm(discharge,[e1_7_1_4_1__bvfunc14])],[e1_7_1_4_1__bvfunc14,i2_7_1_4_1__bvfunc14]),
    [interesting(0.35),file(bvfunc14,i1_7_1_4_1__bvfunc14),[file(bvfunc14,i1_7_1_4_1__bvfunc14)]]).

fof(i1_7_1_4_1_tmp__bvfunc14,plain,
    ( r2_hidden(c1_7_1_4_1__bvfunc14,c7_7_1__bvfunc14)
   => r2_hidden(c1_7_1_4__bvfunc14,c1_7_1_4_1__bvfunc14) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7_1_4__bvfunc14,e1_7_1_4__bvfunc14,dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14]),discharge_asm(discharge,[dt_c1_7_1_4_1__bvfunc14])],[dt_c1_7_1_4_1__bvfunc14,i1_7_1_4_1__bvfunc14]),
    [interesting(0.5),e3_7_1_4__bvfunc14]).

fof(e3_7_1_4__bvfunc14,plain,(
    ! [A] : 
      ( r2_hidden(A,c7_7_1__bvfunc14)
     => r2_hidden(c1_7_1_4__bvfunc14,A) ) ),
    inference(let,[status(thm),assumptions([dt_c1_7_1_4__bvfunc14,e1_7_1_4__bvfunc14,dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[i1_7_1_4_1_tmp__bvfunc14,dh_c1_7_1_4_1__bvfunc14]),
    [interesting(0.5),file(bvfunc14,e3_7_1_4__bvfunc14),[file(bvfunc14,e3_7_1_4__bvfunc14)]]).

fof(e2_7_1_4__bvfunc14,plain,(
    r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c5_7__bvfunc14),k1_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c5_7__bvfunc14),k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c3_7__bvfunc14),k1_funct_1(k1_funct_4(k1_funct_4(k3_cqc_lang(c3_7__bvfunc14,c4_7_1__bvfunc14),k3_cqc_lang(c4_7__bvfunc14,c5_7_1__bvfunc14)),k3_cqc_lang(c5_7__bvfunc14,c3_7_1__bvfunc14)),c4_7__bvfunc14))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,dt_k1_xboole_0,dt_k1_zfmisc_1,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc2_subset_1,t3_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,rc1_xboole_0,rc2_xboole_0,t2_subset,t6_boole,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_enumset1,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,t1_subset,t7_boole,d1_enumset1]),
    [interesting(0.5),file(bvfunc14,e2_7_1_4__bvfunc14),[file(bvfunc14,e2_7_1_4__bvfunc14)]]).

fof(e4_7_1_4__bvfunc14,plain,(
    r2_hidden(c1_7_1_4__bvfunc14,k6_setfam_1(c1_7__bvfunc14,c7_7_1__bvfunc14)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_4__bvfunc14,e1_7_1_4__bvfunc14,dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,redefinition_k6_setfam_1,dt_k1_enumset1,dt_k1_funct_1,dt_k1_funct_4,dt_k1_setfam_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k3_cqc_lang,dt_k6_setfam_1,dt_c1_7__bvfunc14,dt_c1_7_1_4__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,dt_c7_7_1__bvfunc14,de_c7_7_1__bvfunc14,fc1_cqc_lang,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e3_7_1_4__bvfunc14,e16_7_1__bvfunc14,e2_7_1_4__bvfunc14,d1_setfam_1]),
    [interesting(0.5),file(bvfunc14,e4_7_1_4__bvfunc14),[file(bvfunc14,e4_7_1_4__bvfunc14)]]).

fof(e5_7_1_4__bvfunc14,plain,(
    r2_hidden(c1_7_1_4__bvfunc14,k8_setfam_1(c1_7__bvfunc14,c7_7_1__bvfunc14)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_7_1_4__bvfunc14,e1_7_1_4__bvfunc14,dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,existence_m1_eqrel_1,dt_k1_setfam_1,dt_m1_eqrel_1,cc1_eqrel_1,cc2_eqrel_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t5_subset,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,existence_m1_subset_1,redefinition_k6_setfam_1,dt_k1_enumset1,dt_k1_funct_1,dt_k1_funct_4,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_k6_setfam_1,dt_k8_setfam_1,dt_m1_subset_1,dt_c1_7__bvfunc14,dt_c1_7_1_4__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,dt_c7_7_1__bvfunc14,de_c7_7_1__bvfunc14,fc1_cqc_lang,fc1_subset_1,fc1_xboole_0,t1_subset,t3_subset,t4_subset,t6_boole,t7_boole,e4_7_1_4__bvfunc14,e16_7_1__bvfunc14,e2_7_1_4__bvfunc14,d10_setfam_1]),
    [interesting(0.5),file(bvfunc14,e5_7_1_4__bvfunc14),[file(bvfunc14,e5_7_1_4__bvfunc14)]]).

fof(i3_7_1_4__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i3_7_1_4__bvfunc14)]),
    [interesting(0.5),trivial,file(bvfunc14,i3_7_1_4__bvfunc14)]).

fof(i2_7_1_4__bvfunc14,plain,(
    r2_hidden(c1_7_1_4__bvfunc14,k8_setfam_1(c1_7__bvfunc14,c7_7_1__bvfunc14)) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_7_1_4__bvfunc14,e1_7_1_4__bvfunc14,dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[e5_7_1_4__bvfunc14,i3_7_1_4__bvfunc14]),
    [interesting(0.5),file(bvfunc14,i2_7_1_4__bvfunc14),[file(bvfunc14,i2_7_1_4__bvfunc14)]]).

fof(i1_7_1_4__bvfunc14,plain,(
    ~ ( r2_hidden(c1_7_1_4__bvfunc14,c1_7_1__bvfunc14)
      & ~ r2_hidden(c1_7_1_4__bvfunc14,k8_setfam_1(c1_7__bvfunc14,c7_7_1__bvfunc14)) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7_1_4__bvfunc14,dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14]),discharge_asm(discharge,[e1_7_1_4__bvfunc14])],[e1_7_1_4__bvfunc14,i2_7_1_4__bvfunc14]),
    [interesting(0.5),file(bvfunc14,i1_7_1_4__bvfunc14),[file(bvfunc14,i1_7_1_4__bvfunc14)]]).

fof(i1_7_1_4_tmp__bvfunc14,plain,(
    ~ ( r2_hidden(c1_7_1_4__bvfunc14,c1_7_1__bvfunc14)
      & ~ r2_hidden(c1_7_1_4__bvfunc14,k8_setfam_1(c1_7__bvfunc14,c7_7_1__bvfunc14)) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14]),discharge_asm(discharge,[dt_c1_7_1_4__bvfunc14])],[dt_c1_7_1_4__bvfunc14,i1_7_1_4__bvfunc14]),
    [interesting(0.65),e20_7_1__bvfunc14]).

fof(e20_7_1__bvfunc14,plain,(
    r1_tarski(c1_7_1__bvfunc14,k8_setfam_1(c1_7__bvfunc14,c7_7_1__bvfunc14)) ),
    inference(let,[status(thm),assumptions([dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[i1_7_1_4_tmp__bvfunc14,dt_k1_zfmisc_1,dt_m1_subset_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k8_setfam_1,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c7_7_1__bvfunc14,d3_tarski,dh_c1_7_1_4__bvfunc14]),
    [interesting(0.65),file(bvfunc14,e20_7_1__bvfunc14),[file(bvfunc14,e20_7_1__bvfunc14)]]).

fof(e22_7_1__bvfunc14,plain,(
    c1_7_1__bvfunc14 = k8_setfam_1(c1_7__bvfunc14,c7_7_1__bvfunc14) ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[antisymmetry_r2_hidden,existence_m1_eqrel_1,dt_k1_xboole_0,dt_m1_eqrel_1,cc1_eqrel_1,cc2_eqrel_1,fc1_xboole_0,t1_subset,t4_subset,t5_subset,idempotence_k1_funct_4,existence_m1_subset_1,dt_k1_funct_4,dt_k1_zfmisc_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_m1_subset_1,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,fc1_cqc_lang,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,reflexivity_r1_tarski,dt_k8_setfam_1,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c7_7_1__bvfunc14,de_c7_7_1__bvfunc14,t3_subset,e21_7_1__bvfunc14,e20_7_1__bvfunc14,d10_xboole_0]),
    [interesting(0.65),file(bvfunc14,e22_7_1__bvfunc14),[file(bvfunc14,e22_7_1__bvfunc14)]]).

fof(e24_7_1__bvfunc14,plain,(
    r2_hidden(c1_7_1__bvfunc14,k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_m1_t_1topsp,idempotence_k1_funct_4,antisymmetry_r2_hidden,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_enumset1,dt_k1_funct_1,dt_k1_funct_4,dt_k1_relat_1,dt_k1_xboole_0,dt_k1_zfmisc_1,dt_k2_bvfunc_2,dt_k2_relat_1,dt_k3_cqc_lang,dt_k8_setfam_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c2_7__bvfunc14,dt_c3_7__bvfunc14,dt_c3_7_1__bvfunc14,dt_c4_7__bvfunc14,dt_c4_7_1__bvfunc14,dt_c5_7__bvfunc14,dt_c5_7_1__bvfunc14,dt_c7_7_1__bvfunc14,de_c7_7_1__bvfunc14,cc1_eqrel_1,cc2_eqrel_1,fc1_cqc_lang,fc1_subset_1,fc1_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t1_subset,t2_subset,t3_subset,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole,e23_7_1__bvfunc14,e1_7__bvfunc14,e10_7_1__bvfunc14,e14_7_1__bvfunc14,e22_7_1__bvfunc14,d1_bvfunc_2]),
    [interesting(0.65),file(bvfunc14,e24_7_1__bvfunc14),[file(bvfunc14,e24_7_1__bvfunc14)]]).

fof(i3_7_1__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i3_7_1__bvfunc14)]),
    [interesting(0.65),trivial,file(bvfunc14,i3_7_1__bvfunc14)]).

fof(i2_7_1__bvfunc14,plain,(
    r2_hidden(c1_7_1__bvfunc14,k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14)) ),
    inference(conclusion,[status(thm),assumptions([dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,e1_7_1__bvfunc14])],[e24_7_1__bvfunc14,i3_7_1__bvfunc14]),
    [interesting(0.65),file(bvfunc14,i2_7_1__bvfunc14),[file(bvfunc14,i2_7_1__bvfunc14)]]).

fof(i1_7_1__bvfunc14,plain,(
    ~ ( r2_hidden(c1_7_1__bvfunc14,k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),c5_7__bvfunc14))
      & ~ r2_hidden(c1_7_1__bvfunc14,k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14)) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c1_7_1__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14]),discharge_asm(discharge,[e1_7_1__bvfunc14])],[e1_7_1__bvfunc14,i2_7_1__bvfunc14]),
    [interesting(0.65),file(bvfunc14,i1_7_1__bvfunc14),[file(bvfunc14,i1_7_1__bvfunc14)]]).

fof(i1_7_1_tmp__bvfunc14,plain,(
    ~ ( r2_hidden(c1_7_1__bvfunc14,k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),c5_7__bvfunc14))
      & ~ r2_hidden(c1_7_1__bvfunc14,k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14)) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14]),discharge_asm(discharge,[dt_c1_7_1__bvfunc14])],[dt_c1_7_1__bvfunc14,i1_7_1__bvfunc14]),
    [interesting(0.8),e2_7__bvfunc14]).

fof(e2_7__bvfunc14,plain,(
    r1_tarski(k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),c5_7__bvfunc14),k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14)) ),
    inference(let,[status(thm),assumptions([dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14])],[i1_7_1_tmp__bvfunc14,dt_k1_partit1,dt_m1_t_1topsp,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,commutativity_k2_partit1,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k2_bvfunc_2,dt_k2_partit1,dt_c1_7__bvfunc14,dt_c2_7__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,d3_tarski,dh_c1_7_1__bvfunc14]),
    [interesting(0.8),file(bvfunc14,e2_7__bvfunc14),[file(bvfunc14,e2_7__bvfunc14)]]).

fof(e4_7__bvfunc14,plain,(
    k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14) = k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),c5_7__bvfunc14) ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14])],[antisymmetry_r2_hidden,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,t1_subset,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t6_boole,t7_boole,t8_boole,commutativity_k2_partit1,reflexivity_r1_tarski,dt_k2_bvfunc_2,dt_k2_partit1,dt_c1_7__bvfunc14,dt_c2_7__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14,t3_subset,e3_7__bvfunc14,e2_7__bvfunc14,d10_xboole_0]),
    [interesting(0.8),file(bvfunc14,e4_7__bvfunc14),[file(bvfunc14,e4_7__bvfunc14)]]).

fof(i7_7__bvfunc14,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc14,i7_7__bvfunc14)]),
    [interesting(0.8),trivial,file(bvfunc14,i7_7__bvfunc14)]).

fof(i6_7__bvfunc14,plain,(
    k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14) = k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),c5_7__bvfunc14) ),
    inference(conclusion,[status(thm),assumptions([dt_c2_7__bvfunc14,e1_7__bvfunc14,dt_c1_7__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14])],[e4_7__bvfunc14,i7_7__bvfunc14]),
    [interesting(0.8),file(bvfunc14,i6_7__bvfunc14),[file(bvfunc14,i6_7__bvfunc14)]]).

fof(i5_7__bvfunc14,plain,
    ( c2_7__bvfunc14 = k1_enumset1(c3_7__bvfunc14,c4_7__bvfunc14,c5_7__bvfunc14)
   => ( c3_7__bvfunc14 = c4_7__bvfunc14
      | c4_7__bvfunc14 = c5_7__bvfunc14
      | c5_7__bvfunc14 = c3_7__bvfunc14
      | k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14) = k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),c5_7__bvfunc14) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_7__bvfunc14,dt_c1_7__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14,dt_c5_7__bvfunc14]),discharge_asm(discharge,[e1_7__bvfunc14])],[e1_7__bvfunc14,i6_7__bvfunc14]),
    [interesting(0.8),file(bvfunc14,i5_7__bvfunc14),[file(bvfunc14,i5_7__bvfunc14)]]).

fof(i5_7_tmp__bvfunc14,plain,
    ( m1_eqrel_1(c5_7__bvfunc14,c1_7__bvfunc14)
   => ( c2_7__bvfunc14 = k1_enumset1(c3_7__bvfunc14,c4_7__bvfunc14,c5_7__bvfunc14)
     => ( c3_7__bvfunc14 = c4_7__bvfunc14
        | c4_7__bvfunc14 = c5_7__bvfunc14
        | c5_7__bvfunc14 = c3_7__bvfunc14
        | k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14) = k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),c5_7__bvfunc14) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_7__bvfunc14,dt_c1_7__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14]),discharge_asm(discharge,[dt_c5_7__bvfunc14])],[dt_c5_7__bvfunc14,i5_7__bvfunc14]),
    [interesting(0.8),i4_7__bvfunc14]).

fof(i4_7__bvfunc14,plain,(
    ! [A] : 
      ( m1_eqrel_1(A,c1_7__bvfunc14)
     => ( c2_7__bvfunc14 = k1_enumset1(c3_7__bvfunc14,c4_7__bvfunc14,A)
       => ( c3_7__bvfunc14 = c4_7__bvfunc14
          | c4_7__bvfunc14 = A
          | A = c3_7__bvfunc14
          | k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14) = k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),A) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c2_7__bvfunc14,dt_c1_7__bvfunc14,dt_c3_7__bvfunc14,dt_c4_7__bvfunc14])],[i5_7_tmp__bvfunc14,dh_c5_7__bvfunc14]),
    [interesting(0.8),file(bvfunc14,i4_7__bvfunc14),[file(bvfunc14,i4_7__bvfunc14)]]).

fof(i4_7_tmp__bvfunc14,plain,
    ( m1_eqrel_1(c4_7__bvfunc14,c1_7__bvfunc14)
   => ! [A] : 
        ( m1_eqrel_1(A,c1_7__bvfunc14)
       => ( c2_7__bvfunc14 = k1_enumset1(c3_7__bvfunc14,c4_7__bvfunc14,A)
         => ( c3_7__bvfunc14 = c4_7__bvfunc14
            | c4_7__bvfunc14 = A
            | A = c3_7__bvfunc14
            | k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14) = k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,c4_7__bvfunc14),A) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_7__bvfunc14,dt_c1_7__bvfunc14,dt_c3_7__bvfunc14]),discharge_asm(discharge,[dt_c4_7__bvfunc14])],[dt_c4_7__bvfunc14,i4_7__bvfunc14]),
    [interesting(0.8),i3_7__bvfunc14]).

fof(i3_7__bvfunc14,plain,(
    ! [A] : 
      ( m1_eqrel_1(A,c1_7__bvfunc14)
     => ! [B] : 
          ( m1_eqrel_1(B,c1_7__bvfunc14)
         => ( c2_7__bvfunc14 = k1_enumset1(c3_7__bvfunc14,A,B)
           => ( c3_7__bvfunc14 = A
              | A = B
              | B = c3_7__bvfunc14
              | k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14) = k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,A),B) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c2_7__bvfunc14,dt_c1_7__bvfunc14,dt_c3_7__bvfunc14])],[i4_7_tmp__bvfunc14,dh_c4_7__bvfunc14]),
    [interesting(0.8),file(bvfunc14,i3_7__bvfunc14),[file(bvfunc14,i3_7__bvfunc14)]]).

fof(i3_7_tmp__bvfunc14,plain,
    ( m1_eqrel_1(c3_7__bvfunc14,c1_7__bvfunc14)
   => ! [A] : 
        ( m1_eqrel_1(A,c1_7__bvfunc14)
       => ! [B] : 
            ( m1_eqrel_1(B,c1_7__bvfunc14)
           => ( c2_7__bvfunc14 = k1_enumset1(c3_7__bvfunc14,A,B)
             => ( c3_7__bvfunc14 = A
                | A = B
                | B = c3_7__bvfunc14
                | k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14) = k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,c3_7__bvfunc14,A),B) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_7__bvfunc14,dt_c1_7__bvfunc14]),discharge_asm(discharge,[dt_c3_7__bvfunc14])],[dt_c3_7__bvfunc14,i3_7__bvfunc14]),
    [interesting(0.8),i2_7__bvfunc14]).

fof(i2_7__bvfunc14,plain,(
    ! [A] : 
      ( m1_eqrel_1(A,c1_7__bvfunc14)
     => ! [B] : 
          ( m1_eqrel_1(B,c1_7__bvfunc14)
         => ! [C] : 
              ( m1_eqrel_1(C,c1_7__bvfunc14)
             => ( c2_7__bvfunc14 = k1_enumset1(A,B,C)
               => ( A = B
                  | B = C
                  | C = A
                  | k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14) = k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,A,B),C) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c2_7__bvfunc14,dt_c1_7__bvfunc14])],[i3_7_tmp__bvfunc14,dh_c3_7__bvfunc14]),
    [interesting(0.8),file(bvfunc14,i2_7__bvfunc14),[file(bvfunc14,i2_7__bvfunc14)]]).

fof(i2_7_tmp__bvfunc14,plain,
    ( m1_subset_1(c2_7__bvfunc14,k1_zfmisc_1(k1_bvfunc_2(c1_7__bvfunc14)))
   => ! [A] : 
        ( m1_eqrel_1(A,c1_7__bvfunc14)
       => ! [B] : 
            ( m1_eqrel_1(B,c1_7__bvfunc14)
           => ! [C] : 
                ( m1_eqrel_1(C,c1_7__bvfunc14)
               => ( c2_7__bvfunc14 = k1_enumset1(A,B,C)
                 => ( A = B
                    | B = C
                    | C = A
                    | k2_bvfunc_2(c1_7__bvfunc14,c2_7__bvfunc14) = k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,A,B),C) ) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_7__bvfunc14]),discharge_asm(discharge,[dt_c2_7__bvfunc14])],[dt_c2_7__bvfunc14,i2_7__bvfunc14]),
    [interesting(0.8),i1_7__bvfunc14]).

fof(i1_7__bvfunc14,plain,(
    ! [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k1_bvfunc_2(c1_7__bvfunc14)))
     => ! [B] : 
          ( m1_eqrel_1(B,c1_7__bvfunc14)
         => ! [C] : 
              ( m1_eqrel_1(C,c1_7__bvfunc14)
             => ! [D] : 
                  ( m1_eqrel_1(D,c1_7__bvfunc14)
                 => ( A = k1_enumset1(B,C,D)
                   => ( B = C
                      | C = D
                      | D = B
                      | k2_bvfunc_2(c1_7__bvfunc14,A) = k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,B,C),D) ) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_7__bvfunc14])],[i2_7_tmp__bvfunc14,dh_c2_7__bvfunc14]),
    [interesting(0.8),file(bvfunc14,i1_7__bvfunc14),[file(bvfunc14,i1_7__bvfunc14)]]).

fof(i1_7_tmp__bvfunc14,plain,
    ( ~ v1_xboole_0(c1_7__bvfunc14)
   => ! [A] : 
        ( m1_subset_1(A,k1_zfmisc_1(k1_bvfunc_2(c1_7__bvfunc14)))
       => ! [B] : 
            ( m1_eqrel_1(B,c1_7__bvfunc14)
           => ! [C] : 
                ( m1_eqrel_1(C,c1_7__bvfunc14)
               => ! [D] : 
                    ( m1_eqrel_1(D,c1_7__bvfunc14)
                   => ( A = k1_enumset1(B,C,D)
                     => ( B = C
                        | C = D
                        | D = B
                        | k2_bvfunc_2(c1_7__bvfunc14,A) = k2_partit1(c1_7__bvfunc14,k2_partit1(c1_7__bvfunc14,B,C),D) ) ) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_7__bvfunc14])],[dt_c1_7__bvfunc14,i1_7__bvfunc14]),
    [interesting(1),t3_bvfunc14]).

fof(t3_bvfunc14,theorem,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(k1_bvfunc_2(A)))
         => ! [C] : 
              ( m1_eqrel_1(C,A)
             => ! [D] : 
                  ( m1_eqrel_1(D,A)
                 => ! [E] : 
                      ( m1_eqrel_1(E,A)
                     => ( B = k1_enumset1(C,D,E)
                       => ( C = D
                          | D = E
                          | E = C
                          | k2_bvfunc_2(A,B) = k2_partit1(A,k2_partit1(A,C,D),E) ) ) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([])],[i1_7_tmp__bvfunc14,dh_c1_7__bvfunc14]),
    [interesting(1),file(bvfunc14,t3_bvfunc14),[file(bvfunc14,t3_bvfunc14)]]).