% Mizar ND problem: t3_bvfunc23,bvfunc23,369,19 
fof(dh_c1_3__bvfunc23,definition,
    ( ( ~ v1_xboole_0(c1_3__bvfunc23)
     => ! [A] : 
          ( m1_subset_1(A,k1_zfmisc_1(k1_bvfunc_2(c1_3__bvfunc23)))
         => ! [B] : 
              ( m1_eqrel_1(B,c1_3__bvfunc23)
             => ! [C] : 
                  ( m1_eqrel_1(C,c1_3__bvfunc23)
                 => ! [D] : 
                      ( m1_eqrel_1(D,c1_3__bvfunc23)
                     => ! [E] : 
                          ( m1_eqrel_1(E,c1_3__bvfunc23)
                         => ! [F] : 
                              ( m1_eqrel_1(F,c1_3__bvfunc23)
                             => ! [G] : 
                                  ( m1_eqrel_1(G,c1_3__bvfunc23)
                                 => ( ( v2_bvfunc_2(A,c1_3__bvfunc23)
                                      & A = k4_enumset1(B,C,D,E,F,G) )
                                   => ( B = C
                                      | B = D
                                      | B = E
                                      | B = F
                                      | B = G
                                      | C = D
                                      | C = E
                                      | C = F
                                      | C = G
                                      | D = E
                                      | D = F
                                      | D = G
                                      | E = F
                                      | E = G
                                      | F = G
                                      | k5_bvfunc_2(c1_3__bvfunc23,D,A) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,B,C),E),F),G) ) ) ) ) ) ) ) ) ) )
   => ! [H] : 
        ( ~ v1_xboole_0(H)
       => ! [I] : 
            ( m1_subset_1(I,k1_zfmisc_1(k1_bvfunc_2(H)))
           => ! [J] : 
                ( m1_eqrel_1(J,H)
               => ! [K] : 
                    ( m1_eqrel_1(K,H)
                   => ! [L] : 
                        ( m1_eqrel_1(L,H)
                       => ! [M] : 
                            ( m1_eqrel_1(M,H)
                           => ! [N] : 
                                ( m1_eqrel_1(N,H)
                               => ! [O] : 
                                    ( m1_eqrel_1(O,H)
                                   => ( ( v2_bvfunc_2(I,H)
                                        & I = k4_enumset1(J,K,L,M,N,O) )
                                     => ( J = K
                                        | J = L
                                        | J = M
                                        | J = N
                                        | J = O
                                        | K = L
                                        | K = M
                                        | K = N
                                        | K = O
                                        | L = M
                                        | L = N
                                        | L = O
                                        | M = N
                                        | M = O
                                        | N = O
                                        | k5_bvfunc_2(H,L,I) = k2_partit1(H,k2_partit1(H,k2_partit1(H,k2_partit1(H,J,K),M),N),O) ) ) ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c1_3__bvfunc23),file(bvfunc23,c1_3__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c1_3__bvfunc23)]).

fof(dh_c2_3__bvfunc23,definition,
    ( ( m1_subset_1(c2_3__bvfunc23,k1_zfmisc_1(k1_bvfunc_2(c1_3__bvfunc23)))
     => ! [A] : 
          ( m1_eqrel_1(A,c1_3__bvfunc23)
         => ! [B] : 
              ( m1_eqrel_1(B,c1_3__bvfunc23)
             => ! [C] : 
                  ( m1_eqrel_1(C,c1_3__bvfunc23)
                 => ! [D] : 
                      ( m1_eqrel_1(D,c1_3__bvfunc23)
                     => ! [E] : 
                          ( m1_eqrel_1(E,c1_3__bvfunc23)
                         => ! [F] : 
                              ( m1_eqrel_1(F,c1_3__bvfunc23)
                             => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
                                  & c2_3__bvfunc23 = k4_enumset1(A,B,C,D,E,F) )
                               => ( A = B
                                  | A = C
                                  | A = D
                                  | A = E
                                  | A = F
                                  | B = C
                                  | B = D
                                  | B = E
                                  | B = F
                                  | C = D
                                  | C = E
                                  | C = F
                                  | D = E
                                  | D = F
                                  | E = F
                                  | k5_bvfunc_2(c1_3__bvfunc23,C,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,A,B),D),E),F) ) ) ) ) ) ) ) ) )
   => ! [G] : 
        ( m1_subset_1(G,k1_zfmisc_1(k1_bvfunc_2(c1_3__bvfunc23)))
       => ! [H] : 
            ( m1_eqrel_1(H,c1_3__bvfunc23)
           => ! [I] : 
                ( m1_eqrel_1(I,c1_3__bvfunc23)
               => ! [J] : 
                    ( m1_eqrel_1(J,c1_3__bvfunc23)
                   => ! [K] : 
                        ( m1_eqrel_1(K,c1_3__bvfunc23)
                       => ! [L] : 
                            ( m1_eqrel_1(L,c1_3__bvfunc23)
                           => ! [M] : 
                                ( m1_eqrel_1(M,c1_3__bvfunc23)
                               => ( ( v2_bvfunc_2(G,c1_3__bvfunc23)
                                    & G = k4_enumset1(H,I,J,K,L,M) )
                                 => ( H = I
                                    | H = J
                                    | H = K
                                    | H = L
                                    | H = M
                                    | I = J
                                    | I = K
                                    | I = L
                                    | I = M
                                    | J = K
                                    | J = L
                                    | J = M
                                    | K = L
                                    | K = M
                                    | L = M
                                    | k5_bvfunc_2(c1_3__bvfunc23,J,G) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,H,I),K),L),M) ) ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c2_3__bvfunc23),file(bvfunc23,c2_3__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c2_3__bvfunc23)]).

fof(dh_c3_3__bvfunc23,definition,
    ( ( m1_eqrel_1(c3_3__bvfunc23,c1_3__bvfunc23)
     => ! [A] : 
          ( m1_eqrel_1(A,c1_3__bvfunc23)
         => ! [B] : 
              ( m1_eqrel_1(B,c1_3__bvfunc23)
             => ! [C] : 
                  ( m1_eqrel_1(C,c1_3__bvfunc23)
                 => ! [D] : 
                      ( m1_eqrel_1(D,c1_3__bvfunc23)
                     => ! [E] : 
                          ( m1_eqrel_1(E,c1_3__bvfunc23)
                         => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
                              & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,A,B,C,D,E) )
                           => ( c3_3__bvfunc23 = A
                              | c3_3__bvfunc23 = B
                              | c3_3__bvfunc23 = C
                              | c3_3__bvfunc23 = D
                              | c3_3__bvfunc23 = E
                              | A = B
                              | A = C
                              | A = D
                              | A = E
                              | B = C
                              | B = D
                              | B = E
                              | C = D
                              | C = E
                              | D = E
                              | k5_bvfunc_2(c1_3__bvfunc23,B,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,A),C),D),E) ) ) ) ) ) ) ) )
   => ! [F] : 
        ( m1_eqrel_1(F,c1_3__bvfunc23)
       => ! [G] : 
            ( m1_eqrel_1(G,c1_3__bvfunc23)
           => ! [H] : 
                ( m1_eqrel_1(H,c1_3__bvfunc23)
               => ! [I] : 
                    ( m1_eqrel_1(I,c1_3__bvfunc23)
                   => ! [J] : 
                        ( m1_eqrel_1(J,c1_3__bvfunc23)
                       => ! [K] : 
                            ( m1_eqrel_1(K,c1_3__bvfunc23)
                           => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
                                & c2_3__bvfunc23 = k4_enumset1(F,G,H,I,J,K) )
                             => ( F = G
                                | F = H
                                | F = I
                                | F = J
                                | F = K
                                | G = H
                                | G = I
                                | G = J
                                | G = K
                                | H = I
                                | H = J
                                | H = K
                                | I = J
                                | I = K
                                | J = K
                                | k5_bvfunc_2(c1_3__bvfunc23,H,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,F,G),I),J),K) ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c3_3__bvfunc23),file(bvfunc23,c3_3__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c3_3__bvfunc23)]).

fof(dh_c4_3__bvfunc23,definition,
    ( ( m1_eqrel_1(c4_3__bvfunc23,c1_3__bvfunc23)
     => ! [A] : 
          ( m1_eqrel_1(A,c1_3__bvfunc23)
         => ! [B] : 
              ( m1_eqrel_1(B,c1_3__bvfunc23)
             => ! [C] : 
                  ( m1_eqrel_1(C,c1_3__bvfunc23)
                 => ! [D] : 
                      ( m1_eqrel_1(D,c1_3__bvfunc23)
                     => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
                          & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,A,B,C,D) )
                       => ( c3_3__bvfunc23 = c4_3__bvfunc23
                          | c3_3__bvfunc23 = A
                          | c3_3__bvfunc23 = B
                          | c3_3__bvfunc23 = C
                          | c3_3__bvfunc23 = D
                          | c4_3__bvfunc23 = A
                          | c4_3__bvfunc23 = B
                          | c4_3__bvfunc23 = C
                          | c4_3__bvfunc23 = D
                          | A = B
                          | A = C
                          | A = D
                          | B = C
                          | B = D
                          | C = D
                          | k5_bvfunc_2(c1_3__bvfunc23,A,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,c4_3__bvfunc23),B),C),D) ) ) ) ) ) ) )
   => ! [E] : 
        ( m1_eqrel_1(E,c1_3__bvfunc23)
       => ! [F] : 
            ( m1_eqrel_1(F,c1_3__bvfunc23)
           => ! [G] : 
                ( m1_eqrel_1(G,c1_3__bvfunc23)
               => ! [H] : 
                    ( m1_eqrel_1(H,c1_3__bvfunc23)
                   => ! [I] : 
                        ( m1_eqrel_1(I,c1_3__bvfunc23)
                       => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
                            & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,E,F,G,H,I) )
                         => ( c3_3__bvfunc23 = E
                            | c3_3__bvfunc23 = F
                            | c3_3__bvfunc23 = G
                            | c3_3__bvfunc23 = H
                            | c3_3__bvfunc23 = I
                            | E = F
                            | E = G
                            | E = H
                            | E = I
                            | F = G
                            | F = H
                            | F = I
                            | G = H
                            | G = I
                            | H = I
                            | k5_bvfunc_2(c1_3__bvfunc23,F,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,E),G),H),I) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c4_3__bvfunc23),file(bvfunc23,c4_3__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c4_3__bvfunc23)]).

fof(dh_c5_3__bvfunc23,definition,
    ( ( m1_eqrel_1(c5_3__bvfunc23,c1_3__bvfunc23)
     => ! [A] : 
          ( m1_eqrel_1(A,c1_3__bvfunc23)
         => ! [B] : 
              ( m1_eqrel_1(B,c1_3__bvfunc23)
             => ! [C] : 
                  ( m1_eqrel_1(C,c1_3__bvfunc23)
                 => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
                      & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,c5_3__bvfunc23,A,B,C) )
                   => ( c3_3__bvfunc23 = c4_3__bvfunc23
                      | c3_3__bvfunc23 = c5_3__bvfunc23
                      | c3_3__bvfunc23 = A
                      | c3_3__bvfunc23 = B
                      | c3_3__bvfunc23 = C
                      | c4_3__bvfunc23 = c5_3__bvfunc23
                      | c4_3__bvfunc23 = A
                      | c4_3__bvfunc23 = B
                      | c4_3__bvfunc23 = C
                      | c5_3__bvfunc23 = A
                      | c5_3__bvfunc23 = B
                      | c5_3__bvfunc23 = C
                      | A = B
                      | A = C
                      | B = C
                      | k5_bvfunc_2(c1_3__bvfunc23,c5_3__bvfunc23,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,c4_3__bvfunc23),A),B),C) ) ) ) ) ) )
   => ! [D] : 
        ( m1_eqrel_1(D,c1_3__bvfunc23)
       => ! [E] : 
            ( m1_eqrel_1(E,c1_3__bvfunc23)
           => ! [F] : 
                ( m1_eqrel_1(F,c1_3__bvfunc23)
               => ! [G] : 
                    ( m1_eqrel_1(G,c1_3__bvfunc23)
                   => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
                        & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,D,E,F,G) )
                     => ( c3_3__bvfunc23 = c4_3__bvfunc23
                        | c3_3__bvfunc23 = D
                        | c3_3__bvfunc23 = E
                        | c3_3__bvfunc23 = F
                        | c3_3__bvfunc23 = G
                        | c4_3__bvfunc23 = D
                        | c4_3__bvfunc23 = E
                        | c4_3__bvfunc23 = F
                        | c4_3__bvfunc23 = G
                        | D = E
                        | D = F
                        | D = G
                        | E = F
                        | E = G
                        | F = G
                        | k5_bvfunc_2(c1_3__bvfunc23,D,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,c4_3__bvfunc23),E),F),G) ) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c5_3__bvfunc23),file(bvfunc23,c5_3__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c5_3__bvfunc23)]).

fof(dh_c6_3__bvfunc23,definition,
    ( ( m1_eqrel_1(c6_3__bvfunc23,c1_3__bvfunc23)
     => ! [A] : 
          ( m1_eqrel_1(A,c1_3__bvfunc23)
         => ! [B] : 
              ( m1_eqrel_1(B,c1_3__bvfunc23)
             => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
                  & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,c5_3__bvfunc23,c6_3__bvfunc23,A,B) )
               => ( c3_3__bvfunc23 = c4_3__bvfunc23
                  | c3_3__bvfunc23 = c5_3__bvfunc23
                  | c3_3__bvfunc23 = c6_3__bvfunc23
                  | c3_3__bvfunc23 = A
                  | c3_3__bvfunc23 = B
                  | c4_3__bvfunc23 = c5_3__bvfunc23
                  | c4_3__bvfunc23 = c6_3__bvfunc23
                  | c4_3__bvfunc23 = A
                  | c4_3__bvfunc23 = B
                  | c5_3__bvfunc23 = c6_3__bvfunc23
                  | c5_3__bvfunc23 = A
                  | c5_3__bvfunc23 = B
                  | c6_3__bvfunc23 = A
                  | c6_3__bvfunc23 = B
                  | A = B
                  | k5_bvfunc_2(c1_3__bvfunc23,c5_3__bvfunc23,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,c4_3__bvfunc23),c6_3__bvfunc23),A),B) ) ) ) ) )
   => ! [C] : 
        ( m1_eqrel_1(C,c1_3__bvfunc23)
       => ! [D] : 
            ( m1_eqrel_1(D,c1_3__bvfunc23)
           => ! [E] : 
                ( m1_eqrel_1(E,c1_3__bvfunc23)
               => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
                    & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,c5_3__bvfunc23,C,D,E) )
                 => ( c3_3__bvfunc23 = c4_3__bvfunc23
                    | c3_3__bvfunc23 = c5_3__bvfunc23
                    | c3_3__bvfunc23 = C
                    | c3_3__bvfunc23 = D
                    | c3_3__bvfunc23 = E
                    | c4_3__bvfunc23 = c5_3__bvfunc23
                    | c4_3__bvfunc23 = C
                    | c4_3__bvfunc23 = D
                    | c4_3__bvfunc23 = E
                    | c5_3__bvfunc23 = C
                    | c5_3__bvfunc23 = D
                    | c5_3__bvfunc23 = E
                    | C = D
                    | C = E
                    | D = E
                    | k5_bvfunc_2(c1_3__bvfunc23,c5_3__bvfunc23,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,c4_3__bvfunc23),C),D),E) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c6_3__bvfunc23),file(bvfunc23,c6_3__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c6_3__bvfunc23)]).

fof(dh_c7_3__bvfunc23,definition,
    ( ( m1_eqrel_1(c7_3__bvfunc23,c1_3__bvfunc23)
     => ! [A] : 
          ( m1_eqrel_1(A,c1_3__bvfunc23)
         => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
              & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,c5_3__bvfunc23,c6_3__bvfunc23,c7_3__bvfunc23,A) )
           => ( c3_3__bvfunc23 = c4_3__bvfunc23
              | c3_3__bvfunc23 = c5_3__bvfunc23
              | c3_3__bvfunc23 = c6_3__bvfunc23
              | c3_3__bvfunc23 = c7_3__bvfunc23
              | c3_3__bvfunc23 = A
              | c4_3__bvfunc23 = c5_3__bvfunc23
              | c4_3__bvfunc23 = c6_3__bvfunc23
              | c4_3__bvfunc23 = c7_3__bvfunc23
              | c4_3__bvfunc23 = A
              | c5_3__bvfunc23 = c6_3__bvfunc23
              | c5_3__bvfunc23 = c7_3__bvfunc23
              | c5_3__bvfunc23 = A
              | c6_3__bvfunc23 = c7_3__bvfunc23
              | c6_3__bvfunc23 = A
              | c7_3__bvfunc23 = A
              | k5_bvfunc_2(c1_3__bvfunc23,c5_3__bvfunc23,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,c4_3__bvfunc23),c6_3__bvfunc23),c7_3__bvfunc23),A) ) ) ) )
   => ! [B] : 
        ( m1_eqrel_1(B,c1_3__bvfunc23)
       => ! [C] : 
            ( m1_eqrel_1(C,c1_3__bvfunc23)
           => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
                & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,c5_3__bvfunc23,c6_3__bvfunc23,B,C) )
             => ( c3_3__bvfunc23 = c4_3__bvfunc23
                | c3_3__bvfunc23 = c5_3__bvfunc23
                | c3_3__bvfunc23 = c6_3__bvfunc23
                | c3_3__bvfunc23 = B
                | c3_3__bvfunc23 = C
                | c4_3__bvfunc23 = c5_3__bvfunc23
                | c4_3__bvfunc23 = c6_3__bvfunc23
                | c4_3__bvfunc23 = B
                | c4_3__bvfunc23 = C
                | c5_3__bvfunc23 = c6_3__bvfunc23
                | c5_3__bvfunc23 = B
                | c5_3__bvfunc23 = C
                | c6_3__bvfunc23 = B
                | c6_3__bvfunc23 = C
                | B = C
                | k5_bvfunc_2(c1_3__bvfunc23,c5_3__bvfunc23,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,c4_3__bvfunc23),c6_3__bvfunc23),B),C) ) ) ) ) ),
    introduced(definition,[new_symbol(c7_3__bvfunc23),file(bvfunc23,c7_3__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c7_3__bvfunc23)]).

fof(dh_c8_3__bvfunc23,definition,
    ( ( m1_eqrel_1(c8_3__bvfunc23,c1_3__bvfunc23)
     => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
          & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,c5_3__bvfunc23,c6_3__bvfunc23,c7_3__bvfunc23,c8_3__bvfunc23) )
       => ( c3_3__bvfunc23 = c4_3__bvfunc23
          | c3_3__bvfunc23 = c5_3__bvfunc23
          | c3_3__bvfunc23 = c6_3__bvfunc23
          | c3_3__bvfunc23 = c7_3__bvfunc23
          | c3_3__bvfunc23 = c8_3__bvfunc23
          | c4_3__bvfunc23 = c5_3__bvfunc23
          | c4_3__bvfunc23 = c6_3__bvfunc23
          | c4_3__bvfunc23 = c7_3__bvfunc23
          | c4_3__bvfunc23 = c8_3__bvfunc23
          | c5_3__bvfunc23 = c6_3__bvfunc23
          | c5_3__bvfunc23 = c7_3__bvfunc23
          | c5_3__bvfunc23 = c8_3__bvfunc23
          | c6_3__bvfunc23 = c7_3__bvfunc23
          | c6_3__bvfunc23 = c8_3__bvfunc23
          | c7_3__bvfunc23 = c8_3__bvfunc23
          | k5_bvfunc_2(c1_3__bvfunc23,c5_3__bvfunc23,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,c4_3__bvfunc23),c6_3__bvfunc23),c7_3__bvfunc23),c8_3__bvfunc23) ) ) )
   => ! [A] : 
        ( m1_eqrel_1(A,c1_3__bvfunc23)
       => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
            & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,c5_3__bvfunc23,c6_3__bvfunc23,c7_3__bvfunc23,A) )
         => ( c3_3__bvfunc23 = c4_3__bvfunc23
            | c3_3__bvfunc23 = c5_3__bvfunc23
            | c3_3__bvfunc23 = c6_3__bvfunc23
            | c3_3__bvfunc23 = c7_3__bvfunc23
            | c3_3__bvfunc23 = A
            | c4_3__bvfunc23 = c5_3__bvfunc23
            | c4_3__bvfunc23 = c6_3__bvfunc23
            | c4_3__bvfunc23 = c7_3__bvfunc23
            | c4_3__bvfunc23 = A
            | c5_3__bvfunc23 = c6_3__bvfunc23
            | c5_3__bvfunc23 = c7_3__bvfunc23
            | c5_3__bvfunc23 = A
            | c6_3__bvfunc23 = c7_3__bvfunc23
            | c6_3__bvfunc23 = A
            | c7_3__bvfunc23 = A
            | k5_bvfunc_2(c1_3__bvfunc23,c5_3__bvfunc23,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,c4_3__bvfunc23),c6_3__bvfunc23),c7_3__bvfunc23),A) ) ) ) ),
    introduced(definition,[new_symbol(c8_3__bvfunc23),file(bvfunc23,c8_3__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c8_3__bvfunc23)]).

fof(e1_3__bvfunc23,assumption,
    ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
    & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,c5_3__bvfunc23,c6_3__bvfunc23,c7_3__bvfunc23,c8_3__bvfunc23)
    & c3_3__bvfunc23 != c4_3__bvfunc23
    & c3_3__bvfunc23 != c5_3__bvfunc23
    & c3_3__bvfunc23 != c6_3__bvfunc23
    & c3_3__bvfunc23 != c7_3__bvfunc23
    & c3_3__bvfunc23 != c8_3__bvfunc23
    & c4_3__bvfunc23 != c5_3__bvfunc23
    & c4_3__bvfunc23 != c6_3__bvfunc23
    & c4_3__bvfunc23 != c7_3__bvfunc23
    & c4_3__bvfunc23 != c8_3__bvfunc23
    & c5_3__bvfunc23 != c6_3__bvfunc23
    & c5_3__bvfunc23 != c7_3__bvfunc23
    & c5_3__bvfunc23 != c8_3__bvfunc23
    & c6_3__bvfunc23 != c7_3__bvfunc23
    & c6_3__bvfunc23 != c8_3__bvfunc23
    & c7_3__bvfunc23 != c8_3__bvfunc23 ),
    introduced(assumption,[file(bvfunc23,e1_3__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,e1_3__bvfunc23)]).

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

fof(antisymmetry_r2_hidden,theorem,(
    ! [A,B] : 
      ( r2_hidden(A,B)
     => ~ r2_hidden(B,A) ) ),
    file(hidden,r2_hidden),
    [interesting(0.9),axiom,file(hidden,r2_hidden)]).

fof(existence_m1_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(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(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_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_k4_enumset1,axiom,(
    $true ),
    file(enumset1,k4_enumset1),
    [interesting(0.9),axiom,file(enumset1,k4_enumset1)]).

fof(dt_k5_bvfunc_2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v1_xboole_0(A)
        & m1_eqrel_1(B,A)
        & m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A))) )
     => m1_eqrel_1(k5_bvfunc_2(A,B,C),A) ) ),
    file(bvfunc_2,k5_bvfunc_2),
    [interesting(0.9),axiom,file(bvfunc_2,k5_bvfunc_2)]).

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(dt_c1_3__bvfunc23,assumption,(
    ~ v1_xboole_0(c1_3__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,c1_3__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c1_3__bvfunc23)]).

fof(dt_c2_3__bvfunc23,assumption,(
    m1_subset_1(c2_3__bvfunc23,k1_zfmisc_1(k1_bvfunc_2(c1_3__bvfunc23))) ),
    introduced(assumption,[file(bvfunc23,c2_3__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c2_3__bvfunc23)]).

fof(dt_c3_3__bvfunc23,assumption,(
    m1_eqrel_1(c3_3__bvfunc23,c1_3__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,c3_3__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c3_3__bvfunc23)]).

fof(dt_c4_3__bvfunc23,assumption,(
    m1_eqrel_1(c4_3__bvfunc23,c1_3__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,c4_3__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c4_3__bvfunc23)]).

fof(dt_c5_3__bvfunc23,assumption,(
    m1_eqrel_1(c5_3__bvfunc23,c1_3__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,c5_3__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c5_3__bvfunc23)]).

fof(dt_c6_3__bvfunc23,assumption,(
    m1_eqrel_1(c6_3__bvfunc23,c1_3__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,c6_3__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c6_3__bvfunc23)]).

fof(dt_c7_3__bvfunc23,assumption,(
    m1_eqrel_1(c7_3__bvfunc23,c1_3__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,c7_3__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c7_3__bvfunc23)]).

fof(dt_c8_3__bvfunc23,assumption,(
    m1_eqrel_1(c8_3__bvfunc23,c1_3__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,c8_3__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c8_3__bvfunc23)]).

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(t3_subset,theorem,(
    ! [A,B] : 
      ( m1_subset_1(A,k1_zfmisc_1(B))
    <=> r1_tarski(A,B) ) ),
    file(subset,t3_subset),
    [interesting(0.9),axiom,file(subset,t3_subset)]).

fof(t6_boole,theorem,(
    ! [A] : 
      ( v1_xboole_0(A)
     => A = k1_xboole_0 ) ),
    file(boole,t6_boole),
    [interesting(0.9),axiom,file(boole,t6_boole)]).

fof(t7_boole,theorem,(
    ! [A,B] : 
      ~ ( r2_hidden(A,B)
        & v1_xboole_0(B) ) ),
    file(boole,t7_boole),
    [interesting(0.9),axiom,file(boole,t7_boole)]).

fof(t8_boole,theorem,(
    ! [A,B] : 
      ~ ( v1_xboole_0(A)
        & A != B
        & v1_xboole_0(B) ) ),
    file(boole,t8_boole),
    [interesting(0.9),axiom,file(boole,t8_boole)]).

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

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

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

fof(commutativity_k2_xboole_0,theorem,(
    ! [A,B] : k2_xboole_0(A,B) = k2_xboole_0(B,A) ),
    file(xboole_0,k2_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k2_xboole_0)]).

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

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

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

fof(t53_enumset1,theorem,(
    ! [A,B,C,D,E,F] : k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k1_enumset1(A,B,C),k1_enumset1(D,E,F)) ),
    file(enumset1,t53_enumset1),
    [interesting(0.9),axiom,file(enumset1,t53_enumset1)]).

fof(e1_3_1__bvfunc23,plain,(
    k4_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,c5_3__bvfunc23,c6_3__bvfunc23,c7_3__bvfunc23,c8_3__bvfunc23) = k2_xboole_0(k1_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,c5_3__bvfunc23),k1_enumset1(c6_3__bvfunc23,c7_3__bvfunc23,c8_3__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_3__bvfunc23,dt_c3_3__bvfunc23,dt_c4_3__bvfunc23,dt_c5_3__bvfunc23,dt_c6_3__bvfunc23,dt_c7_3__bvfunc23,dt_c8_3__bvfunc23])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t1_subset,t4_subset,t5_subset,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,cc1_eqrel_1,fc1_subset_1,fc2_xboole_0,fc3_xboole_0,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_3__bvfunc23,cc2_eqrel_1,commutativity_k2_xboole_0,idempotence_k2_xboole_0,dt_k1_enumset1,dt_k2_xboole_0,dt_k4_enumset1,dt_c3_3__bvfunc23,dt_c4_3__bvfunc23,dt_c5_3__bvfunc23,dt_c6_3__bvfunc23,dt_c7_3__bvfunc23,dt_c8_3__bvfunc23,t53_enumset1]),
    [interesting(0.65),file(bvfunc23,e1_3_1__bvfunc23),[file(bvfunc23,e1_3_1__bvfunc23)]]).

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

fof(redefinition_k4_bvfunc_2,definition,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_eqrel_1(B,A) )
     => k4_bvfunc_2(A,B) = k1_tarski(B) ) ),
    file(bvfunc_2,k4_bvfunc_2),
    [interesting(0.9),axiom,file(bvfunc_2,k4_bvfunc_2)]).

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

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

fof(dt_k4_bvfunc_2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & m1_eqrel_1(B,A) )
     => m1_subset_1(k4_bvfunc_2(A,B),k1_zfmisc_1(k1_bvfunc_2(A))) ) ),
    file(bvfunc_2,k4_bvfunc_2),
    [interesting(0.9),axiom,file(bvfunc_2,k4_bvfunc_2)]).

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(fc3_subset_1,theorem,(
    ! [A,B] : ~ v1_xboole_0(k2_tarski(A,B)) ),
    file(subset_1,fc3_subset_1),
    [interesting(0.9),axiom,file(subset_1,fc3_subset_1)]).

fof(t42_enumset1,theorem,(
    ! [A,B,C] : k1_enumset1(A,B,C) = k2_xboole_0(k1_tarski(A),k2_tarski(B,C)) ),
    file(enumset1,t42_enumset1),
    [interesting(0.9),axiom,file(enumset1,t42_enumset1)]).

fof(e2_3_1__bvfunc23,plain,(
    k2_xboole_0(k1_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,c5_3__bvfunc23),k1_enumset1(c6_3__bvfunc23,c7_3__bvfunc23,c8_3__bvfunc23)) = k2_xboole_0(k2_xboole_0(k4_bvfunc_2(c1_3__bvfunc23,c3_3__bvfunc23),k2_tarski(c4_3__bvfunc23,c5_3__bvfunc23)),k1_enumset1(c6_3__bvfunc23,c7_3__bvfunc23,c8_3__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_3__bvfunc23,dt_c3_3__bvfunc23,dt_c4_3__bvfunc23,dt_c5_3__bvfunc23,dt_c6_3__bvfunc23,dt_c7_3__bvfunc23,dt_c8_3__bvfunc23])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,t1_boole,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,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k2_tarski,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k4_bvfunc_2,dt_k1_enumset1,dt_k1_tarski,dt_k2_tarski,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_c1_3__bvfunc23,dt_c3_3__bvfunc23,dt_c4_3__bvfunc23,dt_c5_3__bvfunc23,dt_c6_3__bvfunc23,dt_c7_3__bvfunc23,dt_c8_3__bvfunc23,fc2_subset_1,fc3_subset_1,t42_enumset1]),
    [interesting(0.65),file(bvfunc23,e2_3_1__bvfunc23),[file(bvfunc23,e2_3_1__bvfunc23)]]).

fof(e3_3_1__bvfunc23,plain,(
    k2_xboole_0(k2_xboole_0(k4_bvfunc_2(c1_3__bvfunc23,c3_3__bvfunc23),k2_tarski(c4_3__bvfunc23,c5_3__bvfunc23)),k1_enumset1(c6_3__bvfunc23,c7_3__bvfunc23,c8_3__bvfunc23)) = k2_xboole_0(k1_enumset1(c3_3__bvfunc23,c5_3__bvfunc23,c4_3__bvfunc23),k1_enumset1(c6_3__bvfunc23,c7_3__bvfunc23,c8_3__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_3__bvfunc23,dt_c3_3__bvfunc23,dt_c4_3__bvfunc23,dt_c5_3__bvfunc23,dt_c6_3__bvfunc23,dt_c7_3__bvfunc23,dt_c8_3__bvfunc23])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,t1_boole,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,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t6_boole,t7_boole,t8_boole,commutativity_k2_tarski,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k4_bvfunc_2,dt_k1_enumset1,dt_k1_tarski,dt_k2_tarski,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_c1_3__bvfunc23,dt_c3_3__bvfunc23,dt_c4_3__bvfunc23,dt_c5_3__bvfunc23,dt_c6_3__bvfunc23,dt_c7_3__bvfunc23,dt_c8_3__bvfunc23,fc2_subset_1,fc3_subset_1,t42_enumset1]),
    [interesting(0.65),file(bvfunc23,e3_3_1__bvfunc23),[file(bvfunc23,e3_3_1__bvfunc23)]]).

fof(e4_3_1__bvfunc23,plain,(
    k2_xboole_0(k1_enumset1(c3_3__bvfunc23,c5_3__bvfunc23,c4_3__bvfunc23),k1_enumset1(c6_3__bvfunc23,c7_3__bvfunc23,c8_3__bvfunc23)) = k4_enumset1(c3_3__bvfunc23,c5_3__bvfunc23,c4_3__bvfunc23,c6_3__bvfunc23,c7_3__bvfunc23,c8_3__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_3__bvfunc23,dt_c3_3__bvfunc23,dt_c4_3__bvfunc23,dt_c5_3__bvfunc23,dt_c6_3__bvfunc23,dt_c7_3__bvfunc23,dt_c8_3__bvfunc23])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t1_subset,t4_subset,t5_subset,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_subset_1,cc1_eqrel_1,fc1_subset_1,fc2_xboole_0,fc3_xboole_0,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_3__bvfunc23,cc2_eqrel_1,commutativity_k2_xboole_0,idempotence_k2_xboole_0,dt_k1_enumset1,dt_k2_xboole_0,dt_k4_enumset1,dt_c3_3__bvfunc23,dt_c4_3__bvfunc23,dt_c5_3__bvfunc23,dt_c6_3__bvfunc23,dt_c7_3__bvfunc23,dt_c8_3__bvfunc23,t53_enumset1]),
    [interesting(0.65),file(bvfunc23,e4_3_1__bvfunc23),[file(bvfunc23,e4_3_1__bvfunc23)]]).

fof(e2_3__bvfunc23,plain,(
    k4_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,c5_3__bvfunc23,c6_3__bvfunc23,c7_3__bvfunc23,c8_3__bvfunc23) = k4_enumset1(c3_3__bvfunc23,c5_3__bvfunc23,c4_3__bvfunc23,c6_3__bvfunc23,c7_3__bvfunc23,c8_3__bvfunc23) ),
    inference(iterative_eq,[status(thm),assumptions([dt_c1_3__bvfunc23,dt_c3_3__bvfunc23,dt_c4_3__bvfunc23,dt_c5_3__bvfunc23,dt_c6_3__bvfunc23,dt_c7_3__bvfunc23,dt_c8_3__bvfunc23])],[e1_3_1__bvfunc23,e2_3_1__bvfunc23,e3_3_1__bvfunc23,e4_3_1__bvfunc23]),
    [interesting(0.8),file(bvfunc23,e2_3__bvfunc23),[file(bvfunc23,e2_3__bvfunc23)]]).

fof(t2_bvfunc23,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)
                     => ! [F] : 
                          ( m1_eqrel_1(F,A)
                         => ! [G] : 
                              ( m1_eqrel_1(G,A)
                             => ! [H] : 
                                  ( m1_eqrel_1(H,A)
                                 => ( ( v2_bvfunc_2(B,A)
                                      & B = k4_enumset1(C,D,E,F,G,H) )
                                   => ( C = D
                                      | C = E
                                      | C = F
                                      | C = G
                                      | C = H
                                      | D = E
                                      | D = F
                                      | D = G
                                      | D = H
                                      | E = F
                                      | E = G
                                      | E = H
                                      | F = G
                                      | F = H
                                      | G = H
                                      | k5_bvfunc_2(A,D,B) = k2_partit1(A,k2_partit1(A,k2_partit1(A,k2_partit1(A,C,E),F),G),H) ) ) ) ) ) ) ) ) ) ) ),
    file(bvfunc23,t2_bvfunc23),
    [interesting(0.9),axiom,file(bvfunc23,t2_bvfunc23)]).

fof(e3_3__bvfunc23,plain,(
    k5_bvfunc_2(c1_3__bvfunc23,c5_3__bvfunc23,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,c4_3__bvfunc23),c6_3__bvfunc23),c7_3__bvfunc23),c8_3__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_3__bvfunc23,dt_c1_3__bvfunc23,dt_c3_3__bvfunc23,dt_c4_3__bvfunc23,dt_c5_3__bvfunc23,dt_c6_3__bvfunc23,dt_c7_3__bvfunc23,dt_c8_3__bvfunc23,e1_3__bvfunc23])],[reflexivity_r1_tarski,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,commutativity_k2_partit1,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_k2_partit1,dt_k4_enumset1,dt_k5_bvfunc_2,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_3__bvfunc23,dt_c2_3__bvfunc23,dt_c3_3__bvfunc23,dt_c4_3__bvfunc23,dt_c5_3__bvfunc23,dt_c6_3__bvfunc23,dt_c7_3__bvfunc23,dt_c8_3__bvfunc23,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,t6_boole,t7_boole,t8_boole,e2_3__bvfunc23,e1_3__bvfunc23,t2_bvfunc23]),
    [interesting(0.8),file(bvfunc23,e3_3__bvfunc23),[file(bvfunc23,e3_3__bvfunc23)]]).

fof(i10_3__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i10_3__bvfunc23)]),
    [interesting(0.8),trivial,file(bvfunc23,i10_3__bvfunc23)]).

fof(i9_3__bvfunc23,plain,(
    k5_bvfunc_2(c1_3__bvfunc23,c5_3__bvfunc23,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,c4_3__bvfunc23),c6_3__bvfunc23),c7_3__bvfunc23),c8_3__bvfunc23) ),
    inference(conclusion,[status(thm),assumptions([dt_c2_3__bvfunc23,dt_c1_3__bvfunc23,dt_c3_3__bvfunc23,dt_c4_3__bvfunc23,dt_c5_3__bvfunc23,dt_c6_3__bvfunc23,dt_c7_3__bvfunc23,dt_c8_3__bvfunc23,e1_3__bvfunc23])],[e3_3__bvfunc23,i10_3__bvfunc23]),
    [interesting(0.8),file(bvfunc23,i9_3__bvfunc23),[file(bvfunc23,i9_3__bvfunc23)]]).

fof(i8_3__bvfunc23,plain,
    ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
      & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,c5_3__bvfunc23,c6_3__bvfunc23,c7_3__bvfunc23,c8_3__bvfunc23) )
   => ( c3_3__bvfunc23 = c4_3__bvfunc23
      | c3_3__bvfunc23 = c5_3__bvfunc23
      | c3_3__bvfunc23 = c6_3__bvfunc23
      | c3_3__bvfunc23 = c7_3__bvfunc23
      | c3_3__bvfunc23 = c8_3__bvfunc23
      | c4_3__bvfunc23 = c5_3__bvfunc23
      | c4_3__bvfunc23 = c6_3__bvfunc23
      | c4_3__bvfunc23 = c7_3__bvfunc23
      | c4_3__bvfunc23 = c8_3__bvfunc23
      | c5_3__bvfunc23 = c6_3__bvfunc23
      | c5_3__bvfunc23 = c7_3__bvfunc23
      | c5_3__bvfunc23 = c8_3__bvfunc23
      | c6_3__bvfunc23 = c7_3__bvfunc23
      | c6_3__bvfunc23 = c8_3__bvfunc23
      | c7_3__bvfunc23 = c8_3__bvfunc23
      | k5_bvfunc_2(c1_3__bvfunc23,c5_3__bvfunc23,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,c4_3__bvfunc23),c6_3__bvfunc23),c7_3__bvfunc23),c8_3__bvfunc23) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_3__bvfunc23,dt_c1_3__bvfunc23,dt_c3_3__bvfunc23,dt_c4_3__bvfunc23,dt_c5_3__bvfunc23,dt_c6_3__bvfunc23,dt_c7_3__bvfunc23,dt_c8_3__bvfunc23]),discharge_asm(discharge,[e1_3__bvfunc23])],[e1_3__bvfunc23,i9_3__bvfunc23]),
    [interesting(0.8),file(bvfunc23,i8_3__bvfunc23),[file(bvfunc23,i8_3__bvfunc23)]]).

fof(i8_3_tmp__bvfunc23,plain,
    ( m1_eqrel_1(c8_3__bvfunc23,c1_3__bvfunc23)
   => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
        & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,c5_3__bvfunc23,c6_3__bvfunc23,c7_3__bvfunc23,c8_3__bvfunc23) )
     => ( c3_3__bvfunc23 = c4_3__bvfunc23
        | c3_3__bvfunc23 = c5_3__bvfunc23
        | c3_3__bvfunc23 = c6_3__bvfunc23
        | c3_3__bvfunc23 = c7_3__bvfunc23
        | c3_3__bvfunc23 = c8_3__bvfunc23
        | c4_3__bvfunc23 = c5_3__bvfunc23
        | c4_3__bvfunc23 = c6_3__bvfunc23
        | c4_3__bvfunc23 = c7_3__bvfunc23
        | c4_3__bvfunc23 = c8_3__bvfunc23
        | c5_3__bvfunc23 = c6_3__bvfunc23
        | c5_3__bvfunc23 = c7_3__bvfunc23
        | c5_3__bvfunc23 = c8_3__bvfunc23
        | c6_3__bvfunc23 = c7_3__bvfunc23
        | c6_3__bvfunc23 = c8_3__bvfunc23
        | c7_3__bvfunc23 = c8_3__bvfunc23
        | k5_bvfunc_2(c1_3__bvfunc23,c5_3__bvfunc23,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,c4_3__bvfunc23),c6_3__bvfunc23),c7_3__bvfunc23),c8_3__bvfunc23) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_3__bvfunc23,dt_c1_3__bvfunc23,dt_c3_3__bvfunc23,dt_c4_3__bvfunc23,dt_c5_3__bvfunc23,dt_c6_3__bvfunc23,dt_c7_3__bvfunc23]),discharge_asm(discharge,[dt_c8_3__bvfunc23])],[dt_c8_3__bvfunc23,i8_3__bvfunc23]),
    [interesting(0.8),i7_3__bvfunc23]).

fof(i7_3__bvfunc23,plain,(
    ! [A] : 
      ( m1_eqrel_1(A,c1_3__bvfunc23)
     => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
          & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,c5_3__bvfunc23,c6_3__bvfunc23,c7_3__bvfunc23,A) )
       => ( c3_3__bvfunc23 = c4_3__bvfunc23
          | c3_3__bvfunc23 = c5_3__bvfunc23
          | c3_3__bvfunc23 = c6_3__bvfunc23
          | c3_3__bvfunc23 = c7_3__bvfunc23
          | c3_3__bvfunc23 = A
          | c4_3__bvfunc23 = c5_3__bvfunc23
          | c4_3__bvfunc23 = c6_3__bvfunc23
          | c4_3__bvfunc23 = c7_3__bvfunc23
          | c4_3__bvfunc23 = A
          | c5_3__bvfunc23 = c6_3__bvfunc23
          | c5_3__bvfunc23 = c7_3__bvfunc23
          | c5_3__bvfunc23 = A
          | c6_3__bvfunc23 = c7_3__bvfunc23
          | c6_3__bvfunc23 = A
          | c7_3__bvfunc23 = A
          | k5_bvfunc_2(c1_3__bvfunc23,c5_3__bvfunc23,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,c4_3__bvfunc23),c6_3__bvfunc23),c7_3__bvfunc23),A) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c2_3__bvfunc23,dt_c1_3__bvfunc23,dt_c3_3__bvfunc23,dt_c4_3__bvfunc23,dt_c5_3__bvfunc23,dt_c6_3__bvfunc23,dt_c7_3__bvfunc23])],[i8_3_tmp__bvfunc23,dh_c8_3__bvfunc23]),
    [interesting(0.8),file(bvfunc23,i7_3__bvfunc23),[file(bvfunc23,i7_3__bvfunc23)]]).

fof(i7_3_tmp__bvfunc23,plain,
    ( m1_eqrel_1(c7_3__bvfunc23,c1_3__bvfunc23)
   => ! [A] : 
        ( m1_eqrel_1(A,c1_3__bvfunc23)
       => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
            & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,c5_3__bvfunc23,c6_3__bvfunc23,c7_3__bvfunc23,A) )
         => ( c3_3__bvfunc23 = c4_3__bvfunc23
            | c3_3__bvfunc23 = c5_3__bvfunc23
            | c3_3__bvfunc23 = c6_3__bvfunc23
            | c3_3__bvfunc23 = c7_3__bvfunc23
            | c3_3__bvfunc23 = A
            | c4_3__bvfunc23 = c5_3__bvfunc23
            | c4_3__bvfunc23 = c6_3__bvfunc23
            | c4_3__bvfunc23 = c7_3__bvfunc23
            | c4_3__bvfunc23 = A
            | c5_3__bvfunc23 = c6_3__bvfunc23
            | c5_3__bvfunc23 = c7_3__bvfunc23
            | c5_3__bvfunc23 = A
            | c6_3__bvfunc23 = c7_3__bvfunc23
            | c6_3__bvfunc23 = A
            | c7_3__bvfunc23 = A
            | k5_bvfunc_2(c1_3__bvfunc23,c5_3__bvfunc23,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,c4_3__bvfunc23),c6_3__bvfunc23),c7_3__bvfunc23),A) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_3__bvfunc23,dt_c1_3__bvfunc23,dt_c3_3__bvfunc23,dt_c4_3__bvfunc23,dt_c5_3__bvfunc23,dt_c6_3__bvfunc23]),discharge_asm(discharge,[dt_c7_3__bvfunc23])],[dt_c7_3__bvfunc23,i7_3__bvfunc23]),
    [interesting(0.8),i6_3__bvfunc23]).

fof(i6_3__bvfunc23,plain,(
    ! [A] : 
      ( m1_eqrel_1(A,c1_3__bvfunc23)
     => ! [B] : 
          ( m1_eqrel_1(B,c1_3__bvfunc23)
         => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
              & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,c5_3__bvfunc23,c6_3__bvfunc23,A,B) )
           => ( c3_3__bvfunc23 = c4_3__bvfunc23
              | c3_3__bvfunc23 = c5_3__bvfunc23
              | c3_3__bvfunc23 = c6_3__bvfunc23
              | c3_3__bvfunc23 = A
              | c3_3__bvfunc23 = B
              | c4_3__bvfunc23 = c5_3__bvfunc23
              | c4_3__bvfunc23 = c6_3__bvfunc23
              | c4_3__bvfunc23 = A
              | c4_3__bvfunc23 = B
              | c5_3__bvfunc23 = c6_3__bvfunc23
              | c5_3__bvfunc23 = A
              | c5_3__bvfunc23 = B
              | c6_3__bvfunc23 = A
              | c6_3__bvfunc23 = B
              | A = B
              | k5_bvfunc_2(c1_3__bvfunc23,c5_3__bvfunc23,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,c4_3__bvfunc23),c6_3__bvfunc23),A),B) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c2_3__bvfunc23,dt_c1_3__bvfunc23,dt_c3_3__bvfunc23,dt_c4_3__bvfunc23,dt_c5_3__bvfunc23,dt_c6_3__bvfunc23])],[i7_3_tmp__bvfunc23,dh_c7_3__bvfunc23]),
    [interesting(0.8),file(bvfunc23,i6_3__bvfunc23),[file(bvfunc23,i6_3__bvfunc23)]]).

fof(i6_3_tmp__bvfunc23,plain,
    ( m1_eqrel_1(c6_3__bvfunc23,c1_3__bvfunc23)
   => ! [A] : 
        ( m1_eqrel_1(A,c1_3__bvfunc23)
       => ! [B] : 
            ( m1_eqrel_1(B,c1_3__bvfunc23)
           => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
                & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,c5_3__bvfunc23,c6_3__bvfunc23,A,B) )
             => ( c3_3__bvfunc23 = c4_3__bvfunc23
                | c3_3__bvfunc23 = c5_3__bvfunc23
                | c3_3__bvfunc23 = c6_3__bvfunc23
                | c3_3__bvfunc23 = A
                | c3_3__bvfunc23 = B
                | c4_3__bvfunc23 = c5_3__bvfunc23
                | c4_3__bvfunc23 = c6_3__bvfunc23
                | c4_3__bvfunc23 = A
                | c4_3__bvfunc23 = B
                | c5_3__bvfunc23 = c6_3__bvfunc23
                | c5_3__bvfunc23 = A
                | c5_3__bvfunc23 = B
                | c6_3__bvfunc23 = A
                | c6_3__bvfunc23 = B
                | A = B
                | k5_bvfunc_2(c1_3__bvfunc23,c5_3__bvfunc23,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,c4_3__bvfunc23),c6_3__bvfunc23),A),B) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_3__bvfunc23,dt_c1_3__bvfunc23,dt_c3_3__bvfunc23,dt_c4_3__bvfunc23,dt_c5_3__bvfunc23]),discharge_asm(discharge,[dt_c6_3__bvfunc23])],[dt_c6_3__bvfunc23,i6_3__bvfunc23]),
    [interesting(0.8),i5_3__bvfunc23]).

fof(i5_3__bvfunc23,plain,(
    ! [A] : 
      ( m1_eqrel_1(A,c1_3__bvfunc23)
     => ! [B] : 
          ( m1_eqrel_1(B,c1_3__bvfunc23)
         => ! [C] : 
              ( m1_eqrel_1(C,c1_3__bvfunc23)
             => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
                  & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,c5_3__bvfunc23,A,B,C) )
               => ( c3_3__bvfunc23 = c4_3__bvfunc23
                  | c3_3__bvfunc23 = c5_3__bvfunc23
                  | c3_3__bvfunc23 = A
                  | c3_3__bvfunc23 = B
                  | c3_3__bvfunc23 = C
                  | c4_3__bvfunc23 = c5_3__bvfunc23
                  | c4_3__bvfunc23 = A
                  | c4_3__bvfunc23 = B
                  | c4_3__bvfunc23 = C
                  | c5_3__bvfunc23 = A
                  | c5_3__bvfunc23 = B
                  | c5_3__bvfunc23 = C
                  | A = B
                  | A = C
                  | B = C
                  | k5_bvfunc_2(c1_3__bvfunc23,c5_3__bvfunc23,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,c4_3__bvfunc23),A),B),C) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c2_3__bvfunc23,dt_c1_3__bvfunc23,dt_c3_3__bvfunc23,dt_c4_3__bvfunc23,dt_c5_3__bvfunc23])],[i6_3_tmp__bvfunc23,dh_c6_3__bvfunc23]),
    [interesting(0.8),file(bvfunc23,i5_3__bvfunc23),[file(bvfunc23,i5_3__bvfunc23)]]).

fof(i5_3_tmp__bvfunc23,plain,
    ( m1_eqrel_1(c5_3__bvfunc23,c1_3__bvfunc23)
   => ! [A] : 
        ( m1_eqrel_1(A,c1_3__bvfunc23)
       => ! [B] : 
            ( m1_eqrel_1(B,c1_3__bvfunc23)
           => ! [C] : 
                ( m1_eqrel_1(C,c1_3__bvfunc23)
               => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
                    & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,c5_3__bvfunc23,A,B,C) )
                 => ( c3_3__bvfunc23 = c4_3__bvfunc23
                    | c3_3__bvfunc23 = c5_3__bvfunc23
                    | c3_3__bvfunc23 = A
                    | c3_3__bvfunc23 = B
                    | c3_3__bvfunc23 = C
                    | c4_3__bvfunc23 = c5_3__bvfunc23
                    | c4_3__bvfunc23 = A
                    | c4_3__bvfunc23 = B
                    | c4_3__bvfunc23 = C
                    | c5_3__bvfunc23 = A
                    | c5_3__bvfunc23 = B
                    | c5_3__bvfunc23 = C
                    | A = B
                    | A = C
                    | B = C
                    | k5_bvfunc_2(c1_3__bvfunc23,c5_3__bvfunc23,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,c4_3__bvfunc23),A),B),C) ) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_3__bvfunc23,dt_c1_3__bvfunc23,dt_c3_3__bvfunc23,dt_c4_3__bvfunc23]),discharge_asm(discharge,[dt_c5_3__bvfunc23])],[dt_c5_3__bvfunc23,i5_3__bvfunc23]),
    [interesting(0.8),i4_3__bvfunc23]).

fof(i4_3__bvfunc23,plain,(
    ! [A] : 
      ( m1_eqrel_1(A,c1_3__bvfunc23)
     => ! [B] : 
          ( m1_eqrel_1(B,c1_3__bvfunc23)
         => ! [C] : 
              ( m1_eqrel_1(C,c1_3__bvfunc23)
             => ! [D] : 
                  ( m1_eqrel_1(D,c1_3__bvfunc23)
                 => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
                      & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,A,B,C,D) )
                   => ( c3_3__bvfunc23 = c4_3__bvfunc23
                      | c3_3__bvfunc23 = A
                      | c3_3__bvfunc23 = B
                      | c3_3__bvfunc23 = C
                      | c3_3__bvfunc23 = D
                      | c4_3__bvfunc23 = A
                      | c4_3__bvfunc23 = B
                      | c4_3__bvfunc23 = C
                      | c4_3__bvfunc23 = D
                      | A = B
                      | A = C
                      | A = D
                      | B = C
                      | B = D
                      | C = D
                      | k5_bvfunc_2(c1_3__bvfunc23,A,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,c4_3__bvfunc23),B),C),D) ) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c2_3__bvfunc23,dt_c1_3__bvfunc23,dt_c3_3__bvfunc23,dt_c4_3__bvfunc23])],[i5_3_tmp__bvfunc23,dh_c5_3__bvfunc23]),
    [interesting(0.8),file(bvfunc23,i4_3__bvfunc23),[file(bvfunc23,i4_3__bvfunc23)]]).

fof(i4_3_tmp__bvfunc23,plain,
    ( m1_eqrel_1(c4_3__bvfunc23,c1_3__bvfunc23)
   => ! [A] : 
        ( m1_eqrel_1(A,c1_3__bvfunc23)
       => ! [B] : 
            ( m1_eqrel_1(B,c1_3__bvfunc23)
           => ! [C] : 
                ( m1_eqrel_1(C,c1_3__bvfunc23)
               => ! [D] : 
                    ( m1_eqrel_1(D,c1_3__bvfunc23)
                   => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
                        & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,c4_3__bvfunc23,A,B,C,D) )
                     => ( c3_3__bvfunc23 = c4_3__bvfunc23
                        | c3_3__bvfunc23 = A
                        | c3_3__bvfunc23 = B
                        | c3_3__bvfunc23 = C
                        | c3_3__bvfunc23 = D
                        | c4_3__bvfunc23 = A
                        | c4_3__bvfunc23 = B
                        | c4_3__bvfunc23 = C
                        | c4_3__bvfunc23 = D
                        | A = B
                        | A = C
                        | A = D
                        | B = C
                        | B = D
                        | C = D
                        | k5_bvfunc_2(c1_3__bvfunc23,A,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,c4_3__bvfunc23),B),C),D) ) ) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_3__bvfunc23,dt_c1_3__bvfunc23,dt_c3_3__bvfunc23]),discharge_asm(discharge,[dt_c4_3__bvfunc23])],[dt_c4_3__bvfunc23,i4_3__bvfunc23]),
    [interesting(0.8),i3_3__bvfunc23]).

fof(i3_3__bvfunc23,plain,(
    ! [A] : 
      ( m1_eqrel_1(A,c1_3__bvfunc23)
     => ! [B] : 
          ( m1_eqrel_1(B,c1_3__bvfunc23)
         => ! [C] : 
              ( m1_eqrel_1(C,c1_3__bvfunc23)
             => ! [D] : 
                  ( m1_eqrel_1(D,c1_3__bvfunc23)
                 => ! [E] : 
                      ( m1_eqrel_1(E,c1_3__bvfunc23)
                     => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
                          & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,A,B,C,D,E) )
                       => ( c3_3__bvfunc23 = A
                          | c3_3__bvfunc23 = B
                          | c3_3__bvfunc23 = C
                          | c3_3__bvfunc23 = D
                          | c3_3__bvfunc23 = E
                          | A = B
                          | A = C
                          | A = D
                          | A = E
                          | B = C
                          | B = D
                          | B = E
                          | C = D
                          | C = E
                          | D = E
                          | k5_bvfunc_2(c1_3__bvfunc23,B,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,A),C),D),E) ) ) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c2_3__bvfunc23,dt_c1_3__bvfunc23,dt_c3_3__bvfunc23])],[i4_3_tmp__bvfunc23,dh_c4_3__bvfunc23]),
    [interesting(0.8),file(bvfunc23,i3_3__bvfunc23),[file(bvfunc23,i3_3__bvfunc23)]]).

fof(i3_3_tmp__bvfunc23,plain,
    ( m1_eqrel_1(c3_3__bvfunc23,c1_3__bvfunc23)
   => ! [A] : 
        ( m1_eqrel_1(A,c1_3__bvfunc23)
       => ! [B] : 
            ( m1_eqrel_1(B,c1_3__bvfunc23)
           => ! [C] : 
                ( m1_eqrel_1(C,c1_3__bvfunc23)
               => ! [D] : 
                    ( m1_eqrel_1(D,c1_3__bvfunc23)
                   => ! [E] : 
                        ( m1_eqrel_1(E,c1_3__bvfunc23)
                       => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
                            & c2_3__bvfunc23 = k4_enumset1(c3_3__bvfunc23,A,B,C,D,E) )
                         => ( c3_3__bvfunc23 = A
                            | c3_3__bvfunc23 = B
                            | c3_3__bvfunc23 = C
                            | c3_3__bvfunc23 = D
                            | c3_3__bvfunc23 = E
                            | A = B
                            | A = C
                            | A = D
                            | A = E
                            | B = C
                            | B = D
                            | B = E
                            | C = D
                            | C = E
                            | D = E
                            | k5_bvfunc_2(c1_3__bvfunc23,B,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,c3_3__bvfunc23,A),C),D),E) ) ) ) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_3__bvfunc23,dt_c1_3__bvfunc23]),discharge_asm(discharge,[dt_c3_3__bvfunc23])],[dt_c3_3__bvfunc23,i3_3__bvfunc23]),
    [interesting(0.8),i2_3__bvfunc23]).

fof(i2_3__bvfunc23,plain,(
    ! [A] : 
      ( m1_eqrel_1(A,c1_3__bvfunc23)
     => ! [B] : 
          ( m1_eqrel_1(B,c1_3__bvfunc23)
         => ! [C] : 
              ( m1_eqrel_1(C,c1_3__bvfunc23)
             => ! [D] : 
                  ( m1_eqrel_1(D,c1_3__bvfunc23)
                 => ! [E] : 
                      ( m1_eqrel_1(E,c1_3__bvfunc23)
                     => ! [F] : 
                          ( m1_eqrel_1(F,c1_3__bvfunc23)
                         => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
                              & c2_3__bvfunc23 = k4_enumset1(A,B,C,D,E,F) )
                           => ( A = B
                              | A = C
                              | A = D
                              | A = E
                              | A = F
                              | B = C
                              | B = D
                              | B = E
                              | B = F
                              | C = D
                              | C = E
                              | C = F
                              | D = E
                              | D = F
                              | E = F
                              | k5_bvfunc_2(c1_3__bvfunc23,C,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,A,B),D),E),F) ) ) ) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c2_3__bvfunc23,dt_c1_3__bvfunc23])],[i3_3_tmp__bvfunc23,dh_c3_3__bvfunc23]),
    [interesting(0.8),file(bvfunc23,i2_3__bvfunc23),[file(bvfunc23,i2_3__bvfunc23)]]).

fof(i2_3_tmp__bvfunc23,plain,
    ( m1_subset_1(c2_3__bvfunc23,k1_zfmisc_1(k1_bvfunc_2(c1_3__bvfunc23)))
   => ! [A] : 
        ( m1_eqrel_1(A,c1_3__bvfunc23)
       => ! [B] : 
            ( m1_eqrel_1(B,c1_3__bvfunc23)
           => ! [C] : 
                ( m1_eqrel_1(C,c1_3__bvfunc23)
               => ! [D] : 
                    ( m1_eqrel_1(D,c1_3__bvfunc23)
                   => ! [E] : 
                        ( m1_eqrel_1(E,c1_3__bvfunc23)
                       => ! [F] : 
                            ( m1_eqrel_1(F,c1_3__bvfunc23)
                           => ( ( v2_bvfunc_2(c2_3__bvfunc23,c1_3__bvfunc23)
                                & c2_3__bvfunc23 = k4_enumset1(A,B,C,D,E,F) )
                             => ( A = B
                                | A = C
                                | A = D
                                | A = E
                                | A = F
                                | B = C
                                | B = D
                                | B = E
                                | B = F
                                | C = D
                                | C = E
                                | C = F
                                | D = E
                                | D = F
                                | E = F
                                | k5_bvfunc_2(c1_3__bvfunc23,C,c2_3__bvfunc23) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,A,B),D),E),F) ) ) ) ) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_3__bvfunc23]),discharge_asm(discharge,[dt_c2_3__bvfunc23])],[dt_c2_3__bvfunc23,i2_3__bvfunc23]),
    [interesting(0.8),i1_3__bvfunc23]).

fof(i1_3__bvfunc23,plain,(
    ! [A] : 
      ( m1_subset_1(A,k1_zfmisc_1(k1_bvfunc_2(c1_3__bvfunc23)))
     => ! [B] : 
          ( m1_eqrel_1(B,c1_3__bvfunc23)
         => ! [C] : 
              ( m1_eqrel_1(C,c1_3__bvfunc23)
             => ! [D] : 
                  ( m1_eqrel_1(D,c1_3__bvfunc23)
                 => ! [E] : 
                      ( m1_eqrel_1(E,c1_3__bvfunc23)
                     => ! [F] : 
                          ( m1_eqrel_1(F,c1_3__bvfunc23)
                         => ! [G] : 
                              ( m1_eqrel_1(G,c1_3__bvfunc23)
                             => ( ( v2_bvfunc_2(A,c1_3__bvfunc23)
                                  & A = k4_enumset1(B,C,D,E,F,G) )
                               => ( B = C
                                  | B = D
                                  | B = E
                                  | B = F
                                  | B = G
                                  | C = D
                                  | C = E
                                  | C = F
                                  | C = G
                                  | D = E
                                  | D = F
                                  | D = G
                                  | E = F
                                  | E = G
                                  | F = G
                                  | k5_bvfunc_2(c1_3__bvfunc23,D,A) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,B,C),E),F),G) ) ) ) ) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c1_3__bvfunc23])],[i2_3_tmp__bvfunc23,dh_c2_3__bvfunc23]),
    [interesting(0.8),file(bvfunc23,i1_3__bvfunc23),[file(bvfunc23,i1_3__bvfunc23)]]).

fof(i1_3_tmp__bvfunc23,plain,
    ( ~ v1_xboole_0(c1_3__bvfunc23)
   => ! [A] : 
        ( m1_subset_1(A,k1_zfmisc_1(k1_bvfunc_2(c1_3__bvfunc23)))
       => ! [B] : 
            ( m1_eqrel_1(B,c1_3__bvfunc23)
           => ! [C] : 
                ( m1_eqrel_1(C,c1_3__bvfunc23)
               => ! [D] : 
                    ( m1_eqrel_1(D,c1_3__bvfunc23)
                   => ! [E] : 
                        ( m1_eqrel_1(E,c1_3__bvfunc23)
                       => ! [F] : 
                            ( m1_eqrel_1(F,c1_3__bvfunc23)
                           => ! [G] : 
                                ( m1_eqrel_1(G,c1_3__bvfunc23)
                               => ( ( v2_bvfunc_2(A,c1_3__bvfunc23)
                                    & A = k4_enumset1(B,C,D,E,F,G) )
                                 => ( B = C
                                    | B = D
                                    | B = E
                                    | B = F
                                    | B = G
                                    | C = D
                                    | C = E
                                    | C = F
                                    | C = G
                                    | D = E
                                    | D = F
                                    | D = G
                                    | E = F
                                    | E = G
                                    | F = G
                                    | k5_bvfunc_2(c1_3__bvfunc23,D,A) = k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,k2_partit1(c1_3__bvfunc23,B,C),E),F),G) ) ) ) ) ) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([]),discharge_asm(discharge,[dt_c1_3__bvfunc23])],[dt_c1_3__bvfunc23,i1_3__bvfunc23]),
    [interesting(1),t3_bvfunc23]).

fof(t3_bvfunc23,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)
                     => ! [F] : 
                          ( m1_eqrel_1(F,A)
                         => ! [G] : 
                              ( m1_eqrel_1(G,A)
                             => ! [H] : 
                                  ( m1_eqrel_1(H,A)
                                 => ( ( v2_bvfunc_2(B,A)
                                      & B = k4_enumset1(C,D,E,F,G,H) )
                                   => ( C = D
                                      | C = E
                                      | C = F
                                      | C = G
                                      | C = H
                                      | D = E
                                      | D = F
                                      | D = G
                                      | D = H
                                      | E = F
                                      | E = G
                                      | E = H
                                      | F = G
                                      | F = H
                                      | G = H
                                      | k5_bvfunc_2(A,E,B) = k2_partit1(A,k2_partit1(A,k2_partit1(A,k2_partit1(A,C,D),F),G),H) ) ) ) ) ) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([])],[i1_3_tmp__bvfunc23,dh_c1_3__bvfunc23]),
    [interesting(1),file(bvfunc23,t3_bvfunc23),[file(bvfunc23,t3_bvfunc23)]]).