% Mizar ND problem: t1_bvfunc23,bvfunc23,32,19 
fof(dh_c1_1__bvfunc23,definition,
    ( ( ~ v1_xboole_0(c1_1__bvfunc23)
     => ! [A] : 
          ( m1_subset_1(A,k1_zfmisc_1(k1_bvfunc_2(c1_1__bvfunc23)))
         => ! [B] : 
              ( m1_eqrel_1(B,c1_1__bvfunc23)
             => ! [C] : 
                  ( m1_eqrel_1(C,c1_1__bvfunc23)
                 => ! [D] : 
                      ( m1_eqrel_1(D,c1_1__bvfunc23)
                     => ! [E] : 
                          ( m1_eqrel_1(E,c1_1__bvfunc23)
                         => ! [F] : 
                              ( m1_eqrel_1(F,c1_1__bvfunc23)
                             => ! [G] : 
                                  ( m1_eqrel_1(G,c1_1__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_1__bvfunc23,B,A) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,C,D),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)
                                   => ( 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,J,I) = k2_partit1(H,k2_partit1(H,k2_partit1(H,k2_partit1(H,K,L),M),N),O) ) ) ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c1_1__bvfunc23),file(bvfunc23,c1_1__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c1_1__bvfunc23)]).

fof(dh_c2_1__bvfunc23,definition,
    ( ( m1_subset_1(c2_1__bvfunc23,k1_zfmisc_1(k1_bvfunc_2(c1_1__bvfunc23)))
     => ! [A] : 
          ( m1_eqrel_1(A,c1_1__bvfunc23)
         => ! [B] : 
              ( m1_eqrel_1(B,c1_1__bvfunc23)
             => ! [C] : 
                  ( m1_eqrel_1(C,c1_1__bvfunc23)
                 => ! [D] : 
                      ( m1_eqrel_1(D,c1_1__bvfunc23)
                     => ! [E] : 
                          ( m1_eqrel_1(E,c1_1__bvfunc23)
                         => ! [F] : 
                              ( m1_eqrel_1(F,c1_1__bvfunc23)
                             => ( c2_1__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_1__bvfunc23,A,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,B,C),D),E),F) ) ) ) ) ) ) ) ) )
   => ! [G] : 
        ( m1_subset_1(G,k1_zfmisc_1(k1_bvfunc_2(c1_1__bvfunc23)))
       => ! [H] : 
            ( m1_eqrel_1(H,c1_1__bvfunc23)
           => ! [I] : 
                ( m1_eqrel_1(I,c1_1__bvfunc23)
               => ! [J] : 
                    ( m1_eqrel_1(J,c1_1__bvfunc23)
                   => ! [K] : 
                        ( m1_eqrel_1(K,c1_1__bvfunc23)
                       => ! [L] : 
                            ( m1_eqrel_1(L,c1_1__bvfunc23)
                           => ! [M] : 
                                ( m1_eqrel_1(M,c1_1__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_1__bvfunc23,H,G) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,I,J),K),L),M) ) ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c2_1__bvfunc23),file(bvfunc23,c2_1__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c2_1__bvfunc23)]).

fof(dh_c3_1__bvfunc23,definition,
    ( ( m1_eqrel_1(c3_1__bvfunc23,c1_1__bvfunc23)
     => ! [A] : 
          ( m1_eqrel_1(A,c1_1__bvfunc23)
         => ! [B] : 
              ( m1_eqrel_1(B,c1_1__bvfunc23)
             => ! [C] : 
                  ( m1_eqrel_1(C,c1_1__bvfunc23)
                 => ! [D] : 
                      ( m1_eqrel_1(D,c1_1__bvfunc23)
                     => ! [E] : 
                          ( m1_eqrel_1(E,c1_1__bvfunc23)
                         => ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,A,B,C,D,E)
                           => ( c3_1__bvfunc23 = A
                              | c3_1__bvfunc23 = B
                              | c3_1__bvfunc23 = C
                              | c3_1__bvfunc23 = D
                              | c3_1__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_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,A,B),C),D),E) ) ) ) ) ) ) ) )
   => ! [F] : 
        ( m1_eqrel_1(F,c1_1__bvfunc23)
       => ! [G] : 
            ( m1_eqrel_1(G,c1_1__bvfunc23)
           => ! [H] : 
                ( m1_eqrel_1(H,c1_1__bvfunc23)
               => ! [I] : 
                    ( m1_eqrel_1(I,c1_1__bvfunc23)
                   => ! [J] : 
                        ( m1_eqrel_1(J,c1_1__bvfunc23)
                       => ! [K] : 
                            ( m1_eqrel_1(K,c1_1__bvfunc23)
                           => ( c2_1__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_1__bvfunc23,F,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,G,H),I),J),K) ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c3_1__bvfunc23),file(bvfunc23,c3_1__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c3_1__bvfunc23)]).

fof(dh_c4_1__bvfunc23,definition,
    ( ( m1_eqrel_1(c4_1__bvfunc23,c1_1__bvfunc23)
     => ! [A] : 
          ( m1_eqrel_1(A,c1_1__bvfunc23)
         => ! [B] : 
              ( m1_eqrel_1(B,c1_1__bvfunc23)
             => ! [C] : 
                  ( m1_eqrel_1(C,c1_1__bvfunc23)
                 => ! [D] : 
                      ( m1_eqrel_1(D,c1_1__bvfunc23)
                     => ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,c4_1__bvfunc23,A,B,C,D)
                       => ( c3_1__bvfunc23 = c4_1__bvfunc23
                          | c3_1__bvfunc23 = A
                          | c3_1__bvfunc23 = B
                          | c3_1__bvfunc23 = C
                          | c3_1__bvfunc23 = D
                          | c4_1__bvfunc23 = A
                          | c4_1__bvfunc23 = B
                          | c4_1__bvfunc23 = C
                          | c4_1__bvfunc23 = D
                          | A = B
                          | A = C
                          | A = D
                          | B = C
                          | B = D
                          | C = D
                          | k5_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,A),B),C),D) ) ) ) ) ) ) )
   => ! [E] : 
        ( m1_eqrel_1(E,c1_1__bvfunc23)
       => ! [F] : 
            ( m1_eqrel_1(F,c1_1__bvfunc23)
           => ! [G] : 
                ( m1_eqrel_1(G,c1_1__bvfunc23)
               => ! [H] : 
                    ( m1_eqrel_1(H,c1_1__bvfunc23)
                   => ! [I] : 
                        ( m1_eqrel_1(I,c1_1__bvfunc23)
                       => ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,E,F,G,H,I)
                         => ( c3_1__bvfunc23 = E
                            | c3_1__bvfunc23 = F
                            | c3_1__bvfunc23 = G
                            | c3_1__bvfunc23 = H
                            | c3_1__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_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,E,F),G),H),I) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c4_1__bvfunc23),file(bvfunc23,c4_1__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c4_1__bvfunc23)]).

fof(dh_c5_1__bvfunc23,definition,
    ( ( m1_eqrel_1(c5_1__bvfunc23,c1_1__bvfunc23)
     => ! [A] : 
          ( m1_eqrel_1(A,c1_1__bvfunc23)
         => ! [B] : 
              ( m1_eqrel_1(B,c1_1__bvfunc23)
             => ! [C] : 
                  ( m1_eqrel_1(C,c1_1__bvfunc23)
                 => ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23,A,B,C)
                   => ( c3_1__bvfunc23 = c4_1__bvfunc23
                      | c3_1__bvfunc23 = c5_1__bvfunc23
                      | c3_1__bvfunc23 = A
                      | c3_1__bvfunc23 = B
                      | c3_1__bvfunc23 = C
                      | c4_1__bvfunc23 = c5_1__bvfunc23
                      | c4_1__bvfunc23 = A
                      | c4_1__bvfunc23 = B
                      | c4_1__bvfunc23 = C
                      | c5_1__bvfunc23 = A
                      | c5_1__bvfunc23 = B
                      | c5_1__bvfunc23 = C
                      | A = B
                      | A = C
                      | B = C
                      | k5_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),A),B),C) ) ) ) ) ) )
   => ! [D] : 
        ( m1_eqrel_1(D,c1_1__bvfunc23)
       => ! [E] : 
            ( m1_eqrel_1(E,c1_1__bvfunc23)
           => ! [F] : 
                ( m1_eqrel_1(F,c1_1__bvfunc23)
               => ! [G] : 
                    ( m1_eqrel_1(G,c1_1__bvfunc23)
                   => ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,c4_1__bvfunc23,D,E,F,G)
                     => ( c3_1__bvfunc23 = c4_1__bvfunc23
                        | c3_1__bvfunc23 = D
                        | c3_1__bvfunc23 = E
                        | c3_1__bvfunc23 = F
                        | c3_1__bvfunc23 = G
                        | c4_1__bvfunc23 = D
                        | c4_1__bvfunc23 = E
                        | c4_1__bvfunc23 = F
                        | c4_1__bvfunc23 = G
                        | D = E
                        | D = F
                        | D = G
                        | E = F
                        | E = G
                        | F = G
                        | k5_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,D),E),F),G) ) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c5_1__bvfunc23),file(bvfunc23,c5_1__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c5_1__bvfunc23)]).

fof(dh_c6_1__bvfunc23,definition,
    ( ( m1_eqrel_1(c6_1__bvfunc23,c1_1__bvfunc23)
     => ! [A] : 
          ( m1_eqrel_1(A,c1_1__bvfunc23)
         => ! [B] : 
              ( m1_eqrel_1(B,c1_1__bvfunc23)
             => ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,A,B)
               => ( c3_1__bvfunc23 = c4_1__bvfunc23
                  | c3_1__bvfunc23 = c5_1__bvfunc23
                  | c3_1__bvfunc23 = c6_1__bvfunc23
                  | c3_1__bvfunc23 = A
                  | c3_1__bvfunc23 = B
                  | c4_1__bvfunc23 = c5_1__bvfunc23
                  | c4_1__bvfunc23 = c6_1__bvfunc23
                  | c4_1__bvfunc23 = A
                  | c4_1__bvfunc23 = B
                  | c5_1__bvfunc23 = c6_1__bvfunc23
                  | c5_1__bvfunc23 = A
                  | c5_1__bvfunc23 = B
                  | c6_1__bvfunc23 = A
                  | c6_1__bvfunc23 = B
                  | A = B
                  | k5_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),A),B) ) ) ) ) )
   => ! [C] : 
        ( m1_eqrel_1(C,c1_1__bvfunc23)
       => ! [D] : 
            ( m1_eqrel_1(D,c1_1__bvfunc23)
           => ! [E] : 
                ( m1_eqrel_1(E,c1_1__bvfunc23)
               => ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23,C,D,E)
                 => ( c3_1__bvfunc23 = c4_1__bvfunc23
                    | c3_1__bvfunc23 = c5_1__bvfunc23
                    | c3_1__bvfunc23 = C
                    | c3_1__bvfunc23 = D
                    | c3_1__bvfunc23 = E
                    | c4_1__bvfunc23 = c5_1__bvfunc23
                    | c4_1__bvfunc23 = C
                    | c4_1__bvfunc23 = D
                    | c4_1__bvfunc23 = E
                    | c5_1__bvfunc23 = C
                    | c5_1__bvfunc23 = D
                    | c5_1__bvfunc23 = E
                    | C = D
                    | C = E
                    | D = E
                    | k5_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),C),D),E) ) ) ) ) ) ),
    introduced(definition,[new_symbol(c6_1__bvfunc23),file(bvfunc23,c6_1__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c6_1__bvfunc23)]).

fof(dh_c7_1__bvfunc23,definition,
    ( ( m1_eqrel_1(c7_1__bvfunc23,c1_1__bvfunc23)
     => ! [A] : 
          ( m1_eqrel_1(A,c1_1__bvfunc23)
         => ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,A)
           => ( c3_1__bvfunc23 = c4_1__bvfunc23
              | c3_1__bvfunc23 = c5_1__bvfunc23
              | c3_1__bvfunc23 = c6_1__bvfunc23
              | c3_1__bvfunc23 = c7_1__bvfunc23
              | c3_1__bvfunc23 = A
              | c4_1__bvfunc23 = c5_1__bvfunc23
              | c4_1__bvfunc23 = c6_1__bvfunc23
              | c4_1__bvfunc23 = c7_1__bvfunc23
              | c4_1__bvfunc23 = A
              | c5_1__bvfunc23 = c6_1__bvfunc23
              | c5_1__bvfunc23 = c7_1__bvfunc23
              | c5_1__bvfunc23 = A
              | c6_1__bvfunc23 = c7_1__bvfunc23
              | c6_1__bvfunc23 = A
              | c7_1__bvfunc23 = A
              | k5_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),A) ) ) ) )
   => ! [B] : 
        ( m1_eqrel_1(B,c1_1__bvfunc23)
       => ! [C] : 
            ( m1_eqrel_1(C,c1_1__bvfunc23)
           => ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,B,C)
             => ( c3_1__bvfunc23 = c4_1__bvfunc23
                | c3_1__bvfunc23 = c5_1__bvfunc23
                | c3_1__bvfunc23 = c6_1__bvfunc23
                | c3_1__bvfunc23 = B
                | c3_1__bvfunc23 = C
                | c4_1__bvfunc23 = c5_1__bvfunc23
                | c4_1__bvfunc23 = c6_1__bvfunc23
                | c4_1__bvfunc23 = B
                | c4_1__bvfunc23 = C
                | c5_1__bvfunc23 = c6_1__bvfunc23
                | c5_1__bvfunc23 = B
                | c5_1__bvfunc23 = C
                | c6_1__bvfunc23 = B
                | c6_1__bvfunc23 = C
                | B = C
                | k5_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),B),C) ) ) ) ) ),
    introduced(definition,[new_symbol(c7_1__bvfunc23),file(bvfunc23,c7_1__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c7_1__bvfunc23)]).

fof(dh_c8_1__bvfunc23,definition,
    ( ( m1_eqrel_1(c8_1__bvfunc23,c1_1__bvfunc23)
     => ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23)
       => ( c3_1__bvfunc23 = c4_1__bvfunc23
          | c3_1__bvfunc23 = c5_1__bvfunc23
          | c3_1__bvfunc23 = c6_1__bvfunc23
          | c3_1__bvfunc23 = c7_1__bvfunc23
          | c3_1__bvfunc23 = c8_1__bvfunc23
          | c4_1__bvfunc23 = c5_1__bvfunc23
          | c4_1__bvfunc23 = c6_1__bvfunc23
          | c4_1__bvfunc23 = c7_1__bvfunc23
          | c4_1__bvfunc23 = c8_1__bvfunc23
          | c5_1__bvfunc23 = c6_1__bvfunc23
          | c5_1__bvfunc23 = c7_1__bvfunc23
          | c5_1__bvfunc23 = c8_1__bvfunc23
          | c6_1__bvfunc23 = c7_1__bvfunc23
          | c6_1__bvfunc23 = c8_1__bvfunc23
          | c7_1__bvfunc23 = c8_1__bvfunc23
          | k5_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),c8_1__bvfunc23) ) ) )
   => ! [A] : 
        ( m1_eqrel_1(A,c1_1__bvfunc23)
       => ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,A)
         => ( c3_1__bvfunc23 = c4_1__bvfunc23
            | c3_1__bvfunc23 = c5_1__bvfunc23
            | c3_1__bvfunc23 = c6_1__bvfunc23
            | c3_1__bvfunc23 = c7_1__bvfunc23
            | c3_1__bvfunc23 = A
            | c4_1__bvfunc23 = c5_1__bvfunc23
            | c4_1__bvfunc23 = c6_1__bvfunc23
            | c4_1__bvfunc23 = c7_1__bvfunc23
            | c4_1__bvfunc23 = A
            | c5_1__bvfunc23 = c6_1__bvfunc23
            | c5_1__bvfunc23 = c7_1__bvfunc23
            | c5_1__bvfunc23 = A
            | c6_1__bvfunc23 = c7_1__bvfunc23
            | c6_1__bvfunc23 = A
            | c7_1__bvfunc23 = A
            | k5_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),A) ) ) ) ),
    introduced(definition,[new_symbol(c8_1__bvfunc23),file(bvfunc23,c8_1__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c8_1__bvfunc23)]).

fof(e1_1__bvfunc23,assumption,
    ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23)
    & c3_1__bvfunc23 != c4_1__bvfunc23
    & c3_1__bvfunc23 != c5_1__bvfunc23
    & c3_1__bvfunc23 != c6_1__bvfunc23
    & c3_1__bvfunc23 != c7_1__bvfunc23
    & c3_1__bvfunc23 != c8_1__bvfunc23
    & c4_1__bvfunc23 != c5_1__bvfunc23
    & c4_1__bvfunc23 != c6_1__bvfunc23
    & c4_1__bvfunc23 != c7_1__bvfunc23
    & c4_1__bvfunc23 != c8_1__bvfunc23
    & c5_1__bvfunc23 != c6_1__bvfunc23
    & c5_1__bvfunc23 != c7_1__bvfunc23
    & c5_1__bvfunc23 != c8_1__bvfunc23
    & c6_1__bvfunc23 != c7_1__bvfunc23
    & c6_1__bvfunc23 != c8_1__bvfunc23
    & c7_1__bvfunc23 != c8_1__bvfunc23 ),
    introduced(assumption,[file(bvfunc23,e1_1__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,e1_1__bvfunc23)]).

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

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

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

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

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

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_k4_xboole_0,axiom,(
    $true ),
    file(xboole_0,k4_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k4_xboole_0)]).

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_m1_t_1topsp,axiom,(
    $true ),
    file(t_1topsp,m1_t_1topsp),
    [interesting(0.9),axiom,file(t_1topsp,m1_t_1topsp)]).

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(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(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(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(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(redefinition_k6_subset_1,definition,(
    ! [A,B,C] : 
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => k6_subset_1(A,B,C) = k4_xboole_0(B,C) ) ),
    file(subset_1,k6_subset_1),
    [interesting(0.9),axiom,file(subset_1,k6_subset_1)]).

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_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_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(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_k6_subset_1,axiom,(
    ! [A,B,C] : 
      ( ( m1_subset_1(B,k1_zfmisc_1(A))
        & m1_subset_1(C,k1_zfmisc_1(A)) )
     => m1_subset_1(k6_subset_1(A,B,C),k1_zfmisc_1(A)) ) ),
    file(subset_1,k6_subset_1),
    [interesting(0.9),axiom,file(subset_1,k6_subset_1)]).

fof(dt_c1_1__bvfunc23,assumption,(
    ~ v1_xboole_0(c1_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,c1_1__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c1_1__bvfunc23)]).

fof(dt_c2_1__bvfunc23,assumption,(
    m1_subset_1(c2_1__bvfunc23,k1_zfmisc_1(k1_bvfunc_2(c1_1__bvfunc23))) ),
    introduced(assumption,[file(bvfunc23,c2_1__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c2_1__bvfunc23)]).

fof(dt_c3_1__bvfunc23,assumption,(
    m1_eqrel_1(c3_1__bvfunc23,c1_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,c3_1__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c3_1__bvfunc23)]).

fof(dt_c4_1__bvfunc23,assumption,(
    m1_eqrel_1(c4_1__bvfunc23,c1_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,c4_1__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c4_1__bvfunc23)]).

fof(dt_c5_1__bvfunc23,assumption,(
    m1_eqrel_1(c5_1__bvfunc23,c1_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,c5_1__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c5_1__bvfunc23)]).

fof(dt_c6_1__bvfunc23,assumption,(
    m1_eqrel_1(c6_1__bvfunc23,c1_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,c6_1__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c6_1__bvfunc23)]).

fof(dt_c7_1__bvfunc23,assumption,(
    m1_eqrel_1(c7_1__bvfunc23,c1_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,c7_1__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c7_1__bvfunc23)]).

fof(dt_c8_1__bvfunc23,assumption,(
    m1_eqrel_1(c8_1__bvfunc23,c1_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,c8_1__bvfunc23)]),
    [interesting(0.8),axiom,file(bvfunc23,c8_1__bvfunc23)]).

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_1_4__bvfunc23,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc23,c1_1_4__bvfunc23)]),
    [interesting(0.65),axiom,file(bvfunc23,c1_1_4__bvfunc23)]).

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_1_4__bvfunc23,definition,
    ( ~ ( r2_hidden(c1_1_4__bvfunc23,k2_bvfunc_2(c1_1__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))))
        & ~ r2_hidden(c1_1_4__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),c8_1__bvfunc23)) )
   => ! [A] : 
        ~ ( r2_hidden(A,k2_bvfunc_2(c1_1__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))))
          & ~ r2_hidden(A,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),c8_1__bvfunc23)) ) ),
    introduced(definition,[new_symbol(c1_1_4__bvfunc23),file(bvfunc23,c1_1_4__bvfunc23)]),
    [interesting(0.65),axiom,file(bvfunc23,c1_1_4__bvfunc23)]).

fof(e1_1_4__bvfunc23,assumption,(
    r2_hidden(c1_1_4__bvfunc23,k2_bvfunc_2(c1_1__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))) ),
    introduced(assumption,[file(bvfunc23,e1_1_4__bvfunc23)]),
    [interesting(0.65),axiom,file(bvfunc23,e1_1_4__bvfunc23)]).

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_k3_setfam_1,axiom,(
    $true ),
    file(setfam_1,k3_setfam_1),
    [interesting(0.9),axiom,file(setfam_1,k3_setfam_1)]).

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_1_4__bvfunc23,definition,
    ( ? [A] : 
        ( v1_relat_1(A)
        & v1_funct_1(A)
        & ? [B] : 
            ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(c1_1__bvfunc23)))
            & k1_relat_1(A) = k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))
            & k2_relat_1(A) = B
            & ! [C] : 
                ( r2_hidden(C,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))
               => r2_hidden(k1_funct_1(A,C),C) )
            & c1_1_4__bvfunc23 = k8_setfam_1(c1_1__bvfunc23,B)
            & c1_1_4__bvfunc23 != k1_xboole_0 ) )
   => ( v1_relat_1(c2_1_4__bvfunc23)
      & v1_funct_1(c2_1_4__bvfunc23)
      & ? [D] : 
          ( m1_subset_1(D,k1_zfmisc_1(k1_zfmisc_1(c1_1__bvfunc23)))
          & k1_relat_1(c2_1_4__bvfunc23) = k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))
          & k2_relat_1(c2_1_4__bvfunc23) = D
          & ! [E] : 
              ( r2_hidden(E,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))
             => r2_hidden(k1_funct_1(c2_1_4__bvfunc23,E),E) )
          & c1_1_4__bvfunc23 = k8_setfam_1(c1_1__bvfunc23,D)
          & c1_1_4__bvfunc23 != k1_xboole_0 ) ) ),
    introduced(definition,[new_symbol(c2_1_4__bvfunc23),file(bvfunc23,c2_1_4__bvfunc23)]),
    [interesting(0.65),axiom,file(bvfunc23,c2_1_4__bvfunc23)]).

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_1_4__bvfunc23,plain,(
    ? [A] : 
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(c1_1__bvfunc23)))
          & k1_relat_1(A) = k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))
          & k2_relat_1(A) = B
          & ! [C] : 
              ( r2_hidden(C,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))
             => r2_hidden(k1_funct_1(A,C),C) )
          & c1_1_4__bvfunc23 = k8_setfam_1(c1_1__bvfunc23,B)
          & c1_1_4__bvfunc23 != k1_xboole_0 ) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k4_xboole_0,dt_m1_t_1topsp,fc2_subset_1,t3_boole,t4_boole,antisymmetry_r2_hidden,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,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_k4_bvfunc_2,dt_k6_subset_1,dt_k8_setfam_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,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_1_4__bvfunc23,d1_bvfunc_2]),
    [interesting(0.65),file(bvfunc23,e2_1_4__bvfunc23),[file(bvfunc23,e2_1_4__bvfunc23)]]).

fof(dt_c2_1_4__bvfunc23,plain,
    ( v1_relat_1(c2_1_4__bvfunc23)
    & v1_funct_1(c2_1_4__bvfunc23) ),
    inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23])],[dh_c2_1_4__bvfunc23,e2_1_4__bvfunc23]),
    [interesting(0.65),file(bvfunc23,c2_1_4__bvfunc23),[file(bvfunc23,c2_1_4__bvfunc23)]]).

fof(dh_c3_1_4__bvfunc23,definition,
    ( ? [A] : 
        ( m1_subset_1(A,k1_zfmisc_1(k1_zfmisc_1(c1_1__bvfunc23)))
        & k1_relat_1(c2_1_4__bvfunc23) = k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))
        & k2_relat_1(c2_1_4__bvfunc23) = A
        & ! [B] : 
            ( r2_hidden(B,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))
           => r2_hidden(k1_funct_1(c2_1_4__bvfunc23,B),B) )
        & c1_1_4__bvfunc23 = k8_setfam_1(c1_1__bvfunc23,A)
        & c1_1_4__bvfunc23 != k1_xboole_0 )
   => ( m1_subset_1(c3_1_4__bvfunc23,k1_zfmisc_1(k1_zfmisc_1(c1_1__bvfunc23)))
      & k1_relat_1(c2_1_4__bvfunc23) = k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))
      & k2_relat_1(c2_1_4__bvfunc23) = c3_1_4__bvfunc23
      & ! [C] : 
          ( r2_hidden(C,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))
         => r2_hidden(k1_funct_1(c2_1_4__bvfunc23,C),C) )
      & c1_1_4__bvfunc23 = k8_setfam_1(c1_1__bvfunc23,c3_1_4__bvfunc23)
      & c1_1_4__bvfunc23 != k1_xboole_0 ) ),
    introduced(definition,[new_symbol(c3_1_4__bvfunc23),file(bvfunc23,c3_1_4__bvfunc23)]),
    [interesting(0.65),axiom,file(bvfunc23,c3_1_4__bvfunc23)]).

fof(dt_c3_1_4__bvfunc23,plain,(
    m1_subset_1(c3_1_4__bvfunc23,k1_zfmisc_1(k1_zfmisc_1(c1_1__bvfunc23))) ),
    inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23])],[dh_c2_1_4__bvfunc23,dh_c3_1_4__bvfunc23,e2_1_4__bvfunc23]),
    [interesting(0.65),file(bvfunc23,c3_1_4__bvfunc23),[file(bvfunc23,c3_1_4__bvfunc23)]]).

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_k2_xboole_0,axiom,(
    $true ),
    file(xboole_0,k2_xboole_0),
    [interesting(0.9),axiom,file(xboole_0,k2_xboole_0)]).

fof(dt_k3_enumset1,axiom,(
    $true ),
    file(enumset1,k3_enumset1),
    [interesting(0.9),axiom,file(enumset1,k3_enumset1)]).

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(dt_k4_enumset1,axiom,(
    $true ),
    file(enumset1,k4_enumset1),
    [interesting(0.9),axiom,file(enumset1,k4_enumset1)]).

fof(t51_enumset1,theorem,(
    ! [A,B,C,D,E,F] : k4_enumset1(A,B,C,D,E,F) = k2_xboole_0(k1_tarski(A),k3_enumset1(B,C,D,E,F)) ),
    file(enumset1,t51_enumset1),
    [interesting(0.9),axiom,file(enumset1,t51_enumset1)]).

fof(e1_1_1__bvfunc23,plain,(
    k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)) = k4_xboole_0(k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23),k3_enumset1(c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23)),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1__bvfunc23])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t1_subset,t3_boole,t4_boole,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,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_xboole_0,idempotence_k2_xboole_0,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_tarski,dt_k2_xboole_0,dt_k3_enumset1,dt_k4_bvfunc_2,dt_k4_enumset1,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc2_subset_1,e1_1__bvfunc23,t51_enumset1]),
    [interesting(0.65),file(bvfunc23,e1_1_1__bvfunc23),[file(bvfunc23,e1_1_1__bvfunc23)]]).

fof(t42_xboole_1,theorem,(
    ! [A,B,C] : k4_xboole_0(k2_xboole_0(A,B),C) = k2_xboole_0(k4_xboole_0(A,C),k4_xboole_0(B,C)) ),
    file(xboole_1,t42_xboole_1),
    [interesting(0.9),axiom,file(xboole_1,t42_xboole_1)]).

fof(e2_1_1__bvfunc23,plain,(
    k4_xboole_0(k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23),k3_enumset1(c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23)),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)) = k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)),k4_xboole_0(k3_enumset1(c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t1_subset,t3_boole,t4_boole,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_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_xboole_0,idempotence_k2_xboole_0,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k2_xboole_0,dt_k3_enumset1,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t42_xboole_1]),
    [interesting(0.65),file(bvfunc23,e2_1_1__bvfunc23),[file(bvfunc23,e2_1_1__bvfunc23)]]).

fof(e3_1__bvfunc23,plain,(
    k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)) = k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)),k4_xboole_0(k3_enumset1(c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))) ),
    inference(iterative_eq,[status(thm),assumptions([dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k2_xboole_0,dt_k3_enumset1,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_1__bvfunc23,e2_1_1__bvfunc23]),
    [interesting(0.8),file(bvfunc23,e3_1__bvfunc23),[file(bvfunc23,e3_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(dt_k1_enumset1,axiom,(
    $true ),
    file(enumset1,k1_enumset1),
    [interesting(0.9),axiom,file(enumset1,k1_enumset1)]).

fof(dt_k2_enumset1,axiom,(
    $true ),
    file(enumset1,k2_enumset1),
    [interesting(0.9),axiom,file(enumset1,k2_enumset1)]).

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

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(t47_enumset1,theorem,(
    ! [A,B,C,D,E] : k3_enumset1(A,B,C,D,E) = k2_xboole_0(k1_tarski(A),k2_enumset1(B,C,D,E)) ),
    file(enumset1,t47_enumset1),
    [interesting(0.9),axiom,file(enumset1,t47_enumset1)]).

fof(e1_1_2__bvfunc23,plain,(
    k4_xboole_0(k3_enumset1(c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)) = k4_xboole_0(k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k2_enumset1(c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23)),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__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,t3_boole,t4_boole,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_xboole_0,idempotence_k2_xboole_0,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k2_enumset1,dt_k2_xboole_0,dt_k3_enumset1,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc2_subset_1,t47_enumset1]),
    [interesting(0.65),file(bvfunc23,e1_1_2__bvfunc23),[file(bvfunc23,e1_1_2__bvfunc23)]]).

fof(e2_1_2__bvfunc23,plain,(
    k4_xboole_0(k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k2_enumset1(c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23)),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)) = k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)),k4_xboole_0(k2_enumset1(c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t1_subset,t3_boole,t4_boole,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_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_xboole_0,idempotence_k2_xboole_0,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k2_enumset1,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t42_xboole_1]),
    [interesting(0.65),file(bvfunc23,e2_1_2__bvfunc23),[file(bvfunc23,e2_1_2__bvfunc23)]]).

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(e4_1__bvfunc23,plain,(
    ~ r2_hidden(c4_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1__bvfunc23])],[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,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,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k4_bvfunc_2,dt_k4_enumset1,dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc2_subset_1,t1_subset,t7_boole,e1_1__bvfunc23,d1_tarski]),
    [interesting(0.8),file(bvfunc23,e4_1__bvfunc23),[file(bvfunc23,e4_1__bvfunc23)]]).

fof(t67_zfmisc_1,theorem,(
    ! [A,B] : 
      ( k4_xboole_0(k1_tarski(A),B) = k1_tarski(A)
    <=> ~ r2_hidden(A,B) ) ),
    file(zfmisc_1,t67_zfmisc_1),
    [interesting(0.9),axiom,file(zfmisc_1,t67_zfmisc_1)]).

fof(e3_1_2__bvfunc23,plain,(
    k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)),k4_xboole_0(k2_enumset1(c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))) = k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k4_xboole_0(k2_enumset1(c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1__bvfunc23])],[reflexivity_r1_tarski,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t3_boole,t4_boole,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,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,t4_subset,t5_subset,t6_boole,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_tarski,dt_k2_enumset1,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc2_subset_1,t1_subset,t7_boole,e4_1__bvfunc23,t67_zfmisc_1]),
    [interesting(0.65),file(bvfunc23,e3_1_2__bvfunc23),[file(bvfunc23,e3_1_2__bvfunc23)]]).

fof(t44_enumset1,theorem,(
    ! [A,B,C,D] : k2_enumset1(A,B,C,D) = k2_xboole_0(k1_tarski(A),k1_enumset1(B,C,D)) ),
    file(enumset1,t44_enumset1),
    [interesting(0.9),axiom,file(enumset1,t44_enumset1)]).

fof(e4_1_2__bvfunc23,plain,(
    k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k4_xboole_0(k2_enumset1(c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))) = k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k4_xboole_0(k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c5_1__bvfunc23),k1_enumset1(c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23)),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__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,t3_boole,t4_boole,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_xboole_0,idempotence_k2_xboole_0,redefinition_k4_bvfunc_2,dt_k1_enumset1,dt_k1_tarski,dt_k2_enumset1,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc2_subset_1,t44_enumset1]),
    [interesting(0.65),file(bvfunc23,e4_1_2__bvfunc23),[file(bvfunc23,e4_1_2__bvfunc23)]]).

fof(e5_1_2__bvfunc23,plain,(
    k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k4_xboole_0(k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c5_1__bvfunc23),k1_enumset1(c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23)),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))) = k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c5_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)),k4_xboole_0(k1_enumset1(c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t1_subset,t3_boole,t4_boole,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_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_xboole_0,idempotence_k2_xboole_0,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_enumset1,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t42_xboole_1]),
    [interesting(0.65),file(bvfunc23,e5_1_2__bvfunc23),[file(bvfunc23,e5_1_2__bvfunc23)]]).

fof(t43_enumset1,theorem,(
    ! [A,B,C] : k1_enumset1(A,B,C) = k2_xboole_0(k2_tarski(A,B),k1_tarski(C)) ),
    file(enumset1,t43_enumset1),
    [interesting(0.9),axiom,file(enumset1,t43_enumset1)]).

fof(e6_1_2__bvfunc23,plain,(
    k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c5_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)),k4_xboole_0(k1_enumset1(c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))) = k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c5_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)),k4_xboole_0(k2_xboole_0(k2_tarski(c6_1__bvfunc23,c7_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c8_1__bvfunc23)),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t1_subset,t3_boole,t4_boole,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,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_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_enumset1,dt_k1_tarski,dt_k2_tarski,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc2_subset_1,fc3_subset_1,t43_enumset1]),
    [interesting(0.65),file(bvfunc23,e6_1_2__bvfunc23),[file(bvfunc23,e6_1_2__bvfunc23)]]).

fof(e7_1_2__bvfunc23,plain,(
    k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c5_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)),k4_xboole_0(k2_xboole_0(k2_tarski(c6_1__bvfunc23,c7_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c8_1__bvfunc23)),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))) = k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c5_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)),k2_xboole_0(k4_xboole_0(k2_tarski(c6_1__bvfunc23,c7_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)),k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c8_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t1_subset,t3_boole,t4_boole,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_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_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k2_tarski,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc3_subset_1,t42_xboole_1]),
    [interesting(0.65),file(bvfunc23,e7_1_2__bvfunc23),[file(bvfunc23,e7_1_2__bvfunc23)]]).

fof(e6_1__bvfunc23,plain,(
    ~ r2_hidden(c6_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1__bvfunc23])],[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,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,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k4_bvfunc_2,dt_k4_enumset1,dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc2_subset_1,t1_subset,t7_boole,e1_1__bvfunc23,d1_tarski]),
    [interesting(0.8),file(bvfunc23,e6_1__bvfunc23),[file(bvfunc23,e6_1__bvfunc23)]]).

fof(e7_1__bvfunc23,plain,(
    ~ r2_hidden(c7_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1__bvfunc23])],[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,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,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k4_bvfunc_2,dt_k4_enumset1,dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc2_subset_1,t1_subset,t7_boole,e1_1__bvfunc23,d1_tarski]),
    [interesting(0.8),file(bvfunc23,e7_1__bvfunc23),[file(bvfunc23,e7_1__bvfunc23)]]).

fof(t72_zfmisc_1,theorem,(
    ! [A,B,C] : 
      ( k4_xboole_0(k2_tarski(A,B),C) = k2_tarski(A,B)
    <=> ( ~ r2_hidden(A,C)
        & ~ r2_hidden(B,C) ) ) ),
    file(zfmisc_1,t72_zfmisc_1),
    [interesting(0.9),axiom,file(zfmisc_1,t72_zfmisc_1)]).

fof(e8_1_2__bvfunc23,plain,(
    k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c5_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)),k2_xboole_0(k4_xboole_0(k2_tarski(c6_1__bvfunc23,c7_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)),k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c8_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))))) = k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c5_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)),k2_xboole_0(k2_tarski(c6_1__bvfunc23,c7_1__bvfunc23),k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c8_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1__bvfunc23])],[reflexivity_r1_tarski,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t3_boole,t4_boole,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,fc2_xboole_0,fc3_xboole_0,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_k2_tarski,commutativity_k2_xboole_0,idempotence_k2_xboole_0,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k2_tarski,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc3_subset_1,t1_subset,t7_boole,e6_1__bvfunc23,e7_1__bvfunc23,t72_zfmisc_1]),
    [interesting(0.65),file(bvfunc23,e8_1_2__bvfunc23),[file(bvfunc23,e8_1_2__bvfunc23)]]).

fof(e8_1__bvfunc23,plain,(
    ~ r2_hidden(c8_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1__bvfunc23])],[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,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,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k4_bvfunc_2,dt_k4_enumset1,dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc2_subset_1,t1_subset,t7_boole,e1_1__bvfunc23,d1_tarski]),
    [interesting(0.8),file(bvfunc23,e8_1__bvfunc23),[file(bvfunc23,e8_1__bvfunc23)]]).

fof(e9_1_2__bvfunc23,plain,(
    k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c5_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)),k2_xboole_0(k2_tarski(c6_1__bvfunc23,c7_1__bvfunc23),k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c8_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))))) = k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c5_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)),k2_xboole_0(k2_tarski(c6_1__bvfunc23,c7_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c8_1__bvfunc23)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1__bvfunc23])],[reflexivity_r1_tarski,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t3_boole,t4_boole,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,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,t4_subset,t5_subset,t6_boole,t8_boole,commutativity_k2_tarski,commutativity_k2_xboole_0,idempotence_k2_xboole_0,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_tarski,dt_k2_tarski,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc2_subset_1,fc3_subset_1,t1_subset,t7_boole,e8_1__bvfunc23,t67_zfmisc_1]),
    [interesting(0.65),file(bvfunc23,e9_1_2__bvfunc23),[file(bvfunc23,e9_1_2__bvfunc23)]]).

fof(e5_1__bvfunc23,plain,(
    ~ r2_hidden(c5_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1__bvfunc23])],[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,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,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k4_bvfunc_2,dt_k4_enumset1,dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc2_subset_1,t1_subset,t7_boole,e1_1__bvfunc23,d1_tarski]),
    [interesting(0.8),file(bvfunc23,e5_1__bvfunc23),[file(bvfunc23,e5_1__bvfunc23)]]).

fof(e10_1_2__bvfunc23,plain,(
    k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k2_xboole_0(k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c5_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)),k2_xboole_0(k2_tarski(c6_1__bvfunc23,c7_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c8_1__bvfunc23)))) = k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c5_1__bvfunc23),k2_xboole_0(k2_tarski(c6_1__bvfunc23,c7_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c8_1__bvfunc23)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1__bvfunc23])],[reflexivity_r1_tarski,dt_k1_xboole_0,fc1_xboole_0,t1_boole,t3_boole,t4_boole,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,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,t4_subset,t5_subset,t6_boole,t8_boole,commutativity_k2_tarski,commutativity_k2_xboole_0,idempotence_k2_xboole_0,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_tarski,dt_k2_tarski,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc2_subset_1,fc3_subset_1,t1_subset,t7_boole,e5_1__bvfunc23,t67_zfmisc_1]),
    [interesting(0.65),file(bvfunc23,e10_1_2__bvfunc23),[file(bvfunc23,e10_1_2__bvfunc23)]]).

fof(e11_1_2__bvfunc23,plain,(
    k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c5_1__bvfunc23),k2_xboole_0(k2_tarski(c6_1__bvfunc23,c7_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c8_1__bvfunc23)))) = k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c5_1__bvfunc23),k1_enumset1(c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__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_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc2_subset_1,fc3_subset_1,t43_enumset1]),
    [interesting(0.65),file(bvfunc23,e11_1_2__bvfunc23),[file(bvfunc23,e11_1_2__bvfunc23)]]).

fof(e12_1_2__bvfunc23,plain,(
    k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c5_1__bvfunc23),k1_enumset1(c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23))) = k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k2_enumset1(c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__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_xboole_0,idempotence_k2_xboole_0,redefinition_k4_bvfunc_2,dt_k1_enumset1,dt_k1_tarski,dt_k2_enumset1,dt_k2_xboole_0,dt_k4_bvfunc_2,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc2_subset_1,t44_enumset1]),
    [interesting(0.65),file(bvfunc23,e12_1_2__bvfunc23),[file(bvfunc23,e12_1_2__bvfunc23)]]).

fof(e13_1_2__bvfunc23,plain,(
    k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c4_1__bvfunc23),k2_enumset1(c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23)) = k3_enumset1(c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__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_xboole_0,idempotence_k2_xboole_0,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k2_enumset1,dt_k2_xboole_0,dt_k3_enumset1,dt_k4_bvfunc_2,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc2_subset_1,t47_enumset1]),
    [interesting(0.65),file(bvfunc23,e13_1_2__bvfunc23),[file(bvfunc23,e13_1_2__bvfunc23)]]).

fof(e9_1__bvfunc23,plain,(
    k4_xboole_0(k3_enumset1(c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)) = k3_enumset1(c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23) ),
    inference(iterative_eq,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,commutativity_k2_tarski,commutativity_k2_xboole_0,idempotence_k2_xboole_0,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_enumset1,dt_k2_enumset1,dt_k2_tarski,dt_k2_xboole_0,dt_k3_enumset1,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc3_subset_1,e1_1_2__bvfunc23,e2_1_2__bvfunc23,e3_1_2__bvfunc23,e4_1_2__bvfunc23,e5_1_2__bvfunc23,e6_1_2__bvfunc23,e7_1_2__bvfunc23,e8_1_2__bvfunc23,e9_1_2__bvfunc23,e10_1_2__bvfunc23,e11_1_2__bvfunc23,e12_1_2__bvfunc23,e13_1_2__bvfunc23]),
    [interesting(0.8),file(bvfunc23,e9_1__bvfunc23),[file(bvfunc23,e9_1__bvfunc23)]]).

fof(e10_1__bvfunc23,plain,(
    r2_hidden(c3_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[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,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,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k4_bvfunc_2,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,fc2_subset_1,t1_subset,t7_boole,d1_tarski]),
    [interesting(0.8),file(bvfunc23,e10_1__bvfunc23),[file(bvfunc23,e10_1__bvfunc23)]]).

fof(t68_zfmisc_1,theorem,(
    ! [A,B] : 
      ( k4_xboole_0(k1_tarski(A),B) = k1_xboole_0
    <=> r2_hidden(A,B) ) ),
    file(zfmisc_1,t68_zfmisc_1),
    [interesting(0.9),axiom,file(zfmisc_1,t68_zfmisc_1)]).

fof(e11_1__bvfunc23,plain,(
    k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23),k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)) = k1_xboole_0 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,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,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_tarski,dt_k1_xboole_0,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,fc1_xboole_0,fc2_subset_1,t1_subset,t3_boole,t4_boole,t6_boole,t7_boole,e10_1__bvfunc23,t68_zfmisc_1]),
    [interesting(0.8),file(bvfunc23,e11_1__bvfunc23),[file(bvfunc23,e11_1__bvfunc23)]]).

fof(d3_enumset1,definition,(
    ! [A,B,C,D,E,F] : 
      ( F = k3_enumset1(A,B,C,D,E)
    <=> ! [G] : 
          ( r2_hidden(G,F)
        <=> ~ ( G != A
              & G != B
              & G != C
              & G != D
              & G != E ) ) ) ),
    file(enumset1,d3_enumset1),
    [interesting(0.9),axiom,file(enumset1,d3_enumset1)]).

fof(e4_1_4__bvfunc23,plain,
    ( r2_hidden(c4_1__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))
    & r2_hidden(c5_1__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))
    & r2_hidden(c6_1__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))
    & r2_hidden(c7_1__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))
    & r2_hidden(c8_1__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_xboole_0,dt_k2_xboole_0,dt_k3_enumset1,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc1_xboole_0,t1_boole,t1_subset,t3_boole,t4_boole,t6_boole,t7_boole,e3_1__bvfunc23,e9_1__bvfunc23,e11_1__bvfunc23,d3_enumset1]),
    [interesting(0.65),file(bvfunc23,e4_1_4__bvfunc23),[file(bvfunc23,e4_1_4__bvfunc23)]]).

fof(e3_1_4__bvfunc23,plain,
    ( k1_relat_1(c2_1_4__bvfunc23) = k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))
    & k2_relat_1(c2_1_4__bvfunc23) = c3_1_4__bvfunc23
    & ! [A] : 
        ( r2_hidden(A,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))
       => r2_hidden(k1_funct_1(c2_1_4__bvfunc23,A),A) )
    & c1_1_4__bvfunc23 = k8_setfam_1(c1_1__bvfunc23,c3_1_4__bvfunc23)
    & c1_1_4__bvfunc23 != k1_xboole_0 ),
    inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23])],[dh_c2_1_4__bvfunc23,dh_c3_1_4__bvfunc23,e2_1_4__bvfunc23]),
    [interesting(0.65),file(bvfunc23,e3_1_4__bvfunc23),[file(bvfunc23,e3_1_4__bvfunc23)]]).

fof(e5_1_4__bvfunc23,plain,
    ( r2_hidden(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),c4_1__bvfunc23)
    & r2_hidden(k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),c5_1__bvfunc23)
    & r2_hidden(k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),c6_1__bvfunc23)
    & r2_hidden(k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),c7_1__bvfunc23)
    & r2_hidden(k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23),c8_1__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t3_subset,t4_boole,t4_subset,t5_subset,t8_boole,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k4_bvfunc_2,dt_k6_subset_1,dt_k8_setfam_1,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e4_1_4__bvfunc23,e3_1_4__bvfunc23]),
    [interesting(0.65),file(bvfunc23,e5_1_4__bvfunc23),[file(bvfunc23,e5_1_4__bvfunc23)]]).

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(e19_1_4__bvfunc23,plain,(
    r2_hidden(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k3_setfam_1(c4_1__bvfunc23,c5_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23])],[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_1__bvfunc23,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_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t1_subset,t7_boole,e5_1_4__bvfunc23,d5_setfam_1]),
    [interesting(0.65),file(bvfunc23,e19_1_4__bvfunc23),[file(bvfunc23,e19_1_4__bvfunc23)]]).

fof(dt_c1_1_4_1__bvfunc23,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc23,c1_1_4_1__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,c1_1_4_1__bvfunc23)]).

fof(dh_c1_1_4_1__bvfunc23,definition,
    ( ~ ( r2_hidden(c1_1_4_1__bvfunc23,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23)))
        & ~ r2_hidden(c1_1_4_1__bvfunc23,c1_1_4__bvfunc23) )
   => ! [A] : 
        ~ ( r2_hidden(A,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23)))
          & ~ r2_hidden(A,c1_1_4__bvfunc23) ) ),
    introduced(definition,[new_symbol(c1_1_4_1__bvfunc23),file(bvfunc23,c1_1_4_1__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,c1_1_4_1__bvfunc23)]).

fof(e1_1_4_1__bvfunc23,assumption,(
    r2_hidden(c1_1_4_1__bvfunc23,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ),
    introduced(assumption,[file(bvfunc23,e1_1_4_1__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,e1_1_4_1__bvfunc23)]).

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

fof(dh_c1_1_4_1_2__bvfunc23,definition,
    ( ( r2_hidden(c1_1_4_1_2__bvfunc23,k2_relat_1(c2_1_4__bvfunc23))
     => r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) )
   => ! [A] : 
        ( r2_hidden(A,k2_relat_1(c2_1_4__bvfunc23))
       => r2_hidden(c1_1_4_1__bvfunc23,A) ) ),
    introduced(definition,[new_symbol(c1_1_4_1_2__bvfunc23),file(bvfunc23,c1_1_4_1_2__bvfunc23)]),
    [interesting(0.35),axiom,file(bvfunc23,c1_1_4_1_2__bvfunc23)]).

fof(e1_1_4_1_2__bvfunc23,assumption,(
    r2_hidden(c1_1_4_1_2__bvfunc23,k2_relat_1(c2_1_4__bvfunc23)) ),
    introduced(assumption,[file(bvfunc23,e1_1_4_1_2__bvfunc23)]),
    [interesting(0.35),axiom,file(bvfunc23,e1_1_4_1_2__bvfunc23)]).

fof(dt_c1_1_4_1_2__bvfunc23,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc23,c1_1_4_1_2__bvfunc23)]),
    [interesting(0.35),axiom,file(bvfunc23,c1_1_4_1_2__bvfunc23)]).

fof(e1_1_4_1_2_1_1_1__bvfunc23,assumption,(
    c1_1_4_1_2__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_4_1_2_1_1_1__bvfunc23)]),
    [interesting(0.02),axiom,file(bvfunc23,e1_1_4_1_2_1_1_1__bvfunc23)]).

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_1_4_1__bvfunc23,plain,
    ( r2_hidden(c1_1_4_1__bvfunc23,k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)))
    & r2_hidden(c1_1_4_1__bvfunc23,k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1__bvfunc23])],[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_1__bvfunc23,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_1_4_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t1_subset,t7_boole,e1_1_4_1__bvfunc23,d3_xboole_0]),
    [interesting(0.5),file(bvfunc23,e2_1_4_1__bvfunc23),[file(bvfunc23,e2_1_4_1__bvfunc23)]]).

fof(e3_1_4_1__bvfunc23,plain,
    ( r2_hidden(c1_1_4_1__bvfunc23,k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)))
    & r2_hidden(c1_1_4_1__bvfunc23,k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23))
    & r2_hidden(c1_1_4_1__bvfunc23,k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1__bvfunc23])],[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_1__bvfunc23,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_1_4_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t1_subset,t7_boole,e2_1_4_1__bvfunc23,d3_xboole_0]),
    [interesting(0.5),file(bvfunc23,e3_1_4_1__bvfunc23),[file(bvfunc23,e3_1_4_1__bvfunc23)]]).

fof(e4_1_4_1__bvfunc23,plain,
    ( r2_hidden(c1_1_4_1__bvfunc23,k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)))
    & r2_hidden(c1_1_4_1__bvfunc23,k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1__bvfunc23])],[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_1__bvfunc23,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_1_4_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t1_subset,t7_boole,e3_1_4_1__bvfunc23,d3_xboole_0]),
    [interesting(0.5),file(bvfunc23,e4_1_4_1__bvfunc23),[file(bvfunc23,e4_1_4_1__bvfunc23)]]).

fof(e2_1_4_1_2_1_1_1__bvfunc23,plain,(
    r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_1_2__bvfunc23,e1_1_4_1_2_1_1_1__bvfunc23,dt_c1_1_4_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1__bvfunc23])],[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_1__bvfunc23,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_1_4_1__bvfunc23,dt_c1_1_4_1_2__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,t1_subset,t7_boole,e1_1_4_1_2_1_1_1__bvfunc23,e4_1_4_1__bvfunc23,d3_xboole_0]),
    [interesting(0.02),file(bvfunc23,e2_1_4_1_2_1_1_1__bvfunc23),[file(bvfunc23,e2_1_4_1_2_1_1_1__bvfunc23)]]).

fof(i2_1_4_1_2_1_1_1__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_4_1_2_1_1_1__bvfunc23)]),
    [interesting(0.02),trivial,file(bvfunc23,i2_1_4_1_2_1_1_1__bvfunc23)]).

fof(i1_1_4_1_2_1_1_1__bvfunc23,plain,(
    r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_4_1_2__bvfunc23,e1_1_4_1_2_1_1_1__bvfunc23,dt_c1_1_4_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1__bvfunc23])],[e2_1_4_1_2_1_1_1__bvfunc23,i2_1_4_1_2_1_1_1__bvfunc23]),
    [interesting(0.02),file(bvfunc23,i1_1_4_1_2_1_1_1__bvfunc23),[file(bvfunc23,i1_1_4_1_2_1_1_1__bvfunc23)]]).

fof(i1_1_4_1_2_1_1__bvfunc23,plain,
    ( c1_1_4_1_2__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23)
   => ( c1_1_4_1_2__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23)
      & r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_4_1_2__bvfunc23,dt_c1_1_4_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1__bvfunc23]),discharge_asm(discharge,[e1_1_4_1_2_1_1_1__bvfunc23])],[e1_1_4_1_2_1_1_1__bvfunc23,i1_1_4_1_2_1_1_1__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_4_1_2_1_1__bvfunc23),[file(bvfunc23,i1_1_4_1_2_1_1__bvfunc23)]]).

fof(e1_1_4_1_2_1_1_2__bvfunc23,assumption,(
    c1_1_4_1_2__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_4_1_2_1_1_2__bvfunc23)]),
    [interesting(0.02),axiom,file(bvfunc23,e1_1_4_1_2_1_1_2__bvfunc23)]).

fof(e2_1_4_1_2_1_1_2__bvfunc23,plain,(
    r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_1_2__bvfunc23,e1_1_4_1_2_1_1_2__bvfunc23,dt_c1_1_4_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1__bvfunc23])],[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_1__bvfunc23,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_1_4_1__bvfunc23,dt_c1_1_4_1_2__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,t1_subset,t7_boole,e1_1_4_1_2_1_1_2__bvfunc23,e4_1_4_1__bvfunc23,d3_xboole_0]),
    [interesting(0.02),file(bvfunc23,e2_1_4_1_2_1_1_2__bvfunc23),[file(bvfunc23,e2_1_4_1_2_1_1_2__bvfunc23)]]).

fof(i2_1_4_1_2_1_1_2__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_4_1_2_1_1_2__bvfunc23)]),
    [interesting(0.02),trivial,file(bvfunc23,i2_1_4_1_2_1_1_2__bvfunc23)]).

fof(i1_1_4_1_2_1_1_2__bvfunc23,plain,(
    r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_4_1_2__bvfunc23,e1_1_4_1_2_1_1_2__bvfunc23,dt_c1_1_4_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1__bvfunc23])],[e2_1_4_1_2_1_1_2__bvfunc23,i2_1_4_1_2_1_1_2__bvfunc23]),
    [interesting(0.02),file(bvfunc23,i1_1_4_1_2_1_1_2__bvfunc23),[file(bvfunc23,i1_1_4_1_2_1_1_2__bvfunc23)]]).

fof(i2_1_4_1_2_1_1__bvfunc23,plain,
    ( c1_1_4_1_2__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)
   => ( c1_1_4_1_2__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)
      & r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_4_1_2__bvfunc23,dt_c1_1_4_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1__bvfunc23]),discharge_asm(discharge,[e1_1_4_1_2_1_1_2__bvfunc23])],[e1_1_4_1_2_1_1_2__bvfunc23,i1_1_4_1_2_1_1_2__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i2_1_4_1_2_1_1__bvfunc23),[file(bvfunc23,i2_1_4_1_2_1_1__bvfunc23)]]).

fof(e1_1_4_1_2_1_1_3__bvfunc23,assumption,(
    c1_1_4_1_2__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_4_1_2_1_1_3__bvfunc23)]),
    [interesting(0.02),axiom,file(bvfunc23,e1_1_4_1_2_1_1_3__bvfunc23)]).

fof(e2_1_4_1_2_1_1_3__bvfunc23,plain,(
    r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_1_2__bvfunc23,e1_1_4_1_2_1_1_3__bvfunc23,dt_c1_1_4_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1__bvfunc23])],[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_1__bvfunc23,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_1_4_1__bvfunc23,dt_c1_1_4_1_2__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t1_subset,t7_boole,e1_1_4_1_2_1_1_3__bvfunc23,e3_1_4_1__bvfunc23,d3_xboole_0]),
    [interesting(0.02),file(bvfunc23,e2_1_4_1_2_1_1_3__bvfunc23),[file(bvfunc23,e2_1_4_1_2_1_1_3__bvfunc23)]]).

fof(i2_1_4_1_2_1_1_3__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_4_1_2_1_1_3__bvfunc23)]),
    [interesting(0.02),trivial,file(bvfunc23,i2_1_4_1_2_1_1_3__bvfunc23)]).

fof(i1_1_4_1_2_1_1_3__bvfunc23,plain,(
    r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_4_1_2__bvfunc23,e1_1_4_1_2_1_1_3__bvfunc23,dt_c1_1_4_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1__bvfunc23])],[e2_1_4_1_2_1_1_3__bvfunc23,i2_1_4_1_2_1_1_3__bvfunc23]),
    [interesting(0.02),file(bvfunc23,i1_1_4_1_2_1_1_3__bvfunc23),[file(bvfunc23,i1_1_4_1_2_1_1_3__bvfunc23)]]).

fof(i3_1_4_1_2_1_1__bvfunc23,plain,
    ( c1_1_4_1_2__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)
   => ( c1_1_4_1_2__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)
      & r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_4_1_2__bvfunc23,dt_c1_1_4_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1__bvfunc23]),discharge_asm(discharge,[e1_1_4_1_2_1_1_3__bvfunc23])],[e1_1_4_1_2_1_1_3__bvfunc23,i1_1_4_1_2_1_1_3__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i3_1_4_1_2_1_1__bvfunc23),[file(bvfunc23,i3_1_4_1_2_1_1__bvfunc23)]]).

fof(e1_1_4_1_2_1_1_4__bvfunc23,assumption,(
    c1_1_4_1_2__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_4_1_2_1_1_4__bvfunc23)]),
    [interesting(0.02),axiom,file(bvfunc23,e1_1_4_1_2_1_1_4__bvfunc23)]).

fof(e2_1_4_1_2_1_1_4__bvfunc23,plain,(
    r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_1_2__bvfunc23,e1_1_4_1_2_1_1_4__bvfunc23,dt_c1_1_4_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1__bvfunc23])],[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_1__bvfunc23,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_1_4_1__bvfunc23,dt_c1_1_4_1_2__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t1_subset,t7_boole,e1_1_4_1_2_1_1_4__bvfunc23,e2_1_4_1__bvfunc23,d3_xboole_0]),
    [interesting(0.02),file(bvfunc23,e2_1_4_1_2_1_1_4__bvfunc23),[file(bvfunc23,e2_1_4_1_2_1_1_4__bvfunc23)]]).

fof(i2_1_4_1_2_1_1_4__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_4_1_2_1_1_4__bvfunc23)]),
    [interesting(0.02),trivial,file(bvfunc23,i2_1_4_1_2_1_1_4__bvfunc23)]).

fof(i1_1_4_1_2_1_1_4__bvfunc23,plain,(
    r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_4_1_2__bvfunc23,e1_1_4_1_2_1_1_4__bvfunc23,dt_c1_1_4_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1__bvfunc23])],[e2_1_4_1_2_1_1_4__bvfunc23,i2_1_4_1_2_1_1_4__bvfunc23]),
    [interesting(0.02),file(bvfunc23,i1_1_4_1_2_1_1_4__bvfunc23),[file(bvfunc23,i1_1_4_1_2_1_1_4__bvfunc23)]]).

fof(i4_1_4_1_2_1_1__bvfunc23,plain,
    ( c1_1_4_1_2__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)
   => ( c1_1_4_1_2__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)
      & r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_4_1_2__bvfunc23,dt_c1_1_4_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1__bvfunc23]),discharge_asm(discharge,[e1_1_4_1_2_1_1_4__bvfunc23])],[e1_1_4_1_2_1_1_4__bvfunc23,i1_1_4_1_2_1_1_4__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i4_1_4_1_2_1_1__bvfunc23),[file(bvfunc23,i4_1_4_1_2_1_1__bvfunc23)]]).

fof(e1_1_4_1_2_1_1_5__bvfunc23,assumption,(
    c1_1_4_1_2__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_4_1_2_1_1_5__bvfunc23)]),
    [interesting(0.02),axiom,file(bvfunc23,e1_1_4_1_2_1_1_5__bvfunc23)]).

fof(e2_1_4_1_2_1_1_5__bvfunc23,plain,(
    r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_1__bvfunc23,dt_c1_1_4_1_2__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1_2_1_1_5__bvfunc23,e1_1_4_1__bvfunc23])],[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_1__bvfunc23,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_1_4_1__bvfunc23,dt_c1_1_4_1_2__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t1_subset,t7_boole,e1_1_4_1_2_1_1_5__bvfunc23,e1_1_4_1__bvfunc23,d3_xboole_0]),
    [interesting(0.02),file(bvfunc23,e2_1_4_1_2_1_1_5__bvfunc23),[file(bvfunc23,e2_1_4_1_2_1_1_5__bvfunc23)]]).

fof(i2_1_4_1_2_1_1_5__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_4_1_2_1_1_5__bvfunc23)]),
    [interesting(0.02),trivial,file(bvfunc23,i2_1_4_1_2_1_1_5__bvfunc23)]).

fof(i1_1_4_1_2_1_1_5__bvfunc23,plain,(
    r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_4_1__bvfunc23,dt_c1_1_4_1_2__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1_2_1_1_5__bvfunc23,e1_1_4_1__bvfunc23])],[e2_1_4_1_2_1_1_5__bvfunc23,i2_1_4_1_2_1_1_5__bvfunc23]),
    [interesting(0.02),file(bvfunc23,i1_1_4_1_2_1_1_5__bvfunc23),[file(bvfunc23,i1_1_4_1_2_1_1_5__bvfunc23)]]).

fof(i5_1_4_1_2_1_1__bvfunc23,plain,
    ( c1_1_4_1_2__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23)
   => ( c1_1_4_1_2__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23)
      & r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_4_1__bvfunc23,dt_c1_1_4_1_2__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1__bvfunc23]),discharge_asm(discharge,[e1_1_4_1_2_1_1_5__bvfunc23])],[e1_1_4_1_2_1_1_5__bvfunc23,i1_1_4_1_2_1_1_5__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i5_1_4_1_2_1_1__bvfunc23),[file(bvfunc23,i5_1_4_1_2_1_1__bvfunc23)]]).

fof(dt_c1_1_4_1_1__bvfunc23,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc23,c1_1_4_1_1__bvfunc23)]),
    [interesting(0.35),axiom,file(bvfunc23,c1_1_4_1_1__bvfunc23)]).

fof(dh_c1_1_4_1_1__bvfunc23,definition,
    ( ~ ( r2_hidden(c1_1_4_1_1__bvfunc23,k2_relat_1(c2_1_4__bvfunc23))
        & ~ r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) )
   => ! [A] : 
        ~ ( r2_hidden(A,k2_relat_1(c2_1_4__bvfunc23))
          & ~ r2_hidden(A,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ) ),
    introduced(definition,[new_symbol(c1_1_4_1_1__bvfunc23),file(bvfunc23,c1_1_4_1_1__bvfunc23)]),
    [interesting(0.35),axiom,file(bvfunc23,c1_1_4_1_1__bvfunc23)]).

fof(e1_1_4_1_1__bvfunc23,assumption,(
    r2_hidden(c1_1_4_1_1__bvfunc23,k2_relat_1(c2_1_4__bvfunc23)) ),
    introduced(assumption,[file(bvfunc23,e1_1_4_1_1__bvfunc23)]),
    [interesting(0.35),axiom,file(bvfunc23,e1_1_4_1_1__bvfunc23)]).

fof(dh_c2_1_4_1_1__bvfunc23,definition,
    ( ? [A] : 
        ( r2_hidden(A,k1_relat_1(c2_1_4__bvfunc23))
        & c1_1_4_1_1__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,A) )
   => ( r2_hidden(c2_1_4_1_1__bvfunc23,k1_relat_1(c2_1_4__bvfunc23))
      & c1_1_4_1_1__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,c2_1_4_1_1__bvfunc23) ) ),
    introduced(definition,[new_symbol(c2_1_4_1_1__bvfunc23),file(bvfunc23,c2_1_4_1_1__bvfunc23)]),
    [interesting(0.35),axiom,file(bvfunc23,c2_1_4_1_1__bvfunc23)]).

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_1_4_1_1__bvfunc23,plain,(
    ? [A] : 
      ( r2_hidden(A,k1_relat_1(c2_1_4__bvfunc23))
      & c1_1_4_1_1__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,A) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_1__bvfunc23])],[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_1_4_1_1__bvfunc23,dt_c2_1_4__bvfunc23,t1_subset,t7_boole,e1_1_4_1_1__bvfunc23,d5_funct_1]),
    [interesting(0.35),file(bvfunc23,e2_1_4_1_1__bvfunc23),[file(bvfunc23,e2_1_4_1_1__bvfunc23)]]).

fof(dt_c2_1_4_1_1__bvfunc23,plain,(
    $true ),
    inference(consider,[status(thm),assumptions([dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_1__bvfunc23])],[dh_c2_1_4_1_1__bvfunc23,e2_1_4_1_1__bvfunc23]),
    [interesting(0.35),file(bvfunc23,c2_1_4_1_1__bvfunc23),[file(bvfunc23,c2_1_4_1_1__bvfunc23)]]).

fof(e1_1_4_1_1_1_1_1__bvfunc23,assumption,(
    c2_1_4_1_1__bvfunc23 = c4_1__bvfunc23 ),
    introduced(assumption,[file(bvfunc23,e1_1_4_1_1_1_1_1__bvfunc23)]),
    [interesting(0.02),axiom,file(bvfunc23,e1_1_4_1_1_1_1_1__bvfunc23)]).

fof(e3_1_4_1_1__bvfunc23,plain,
    ( r2_hidden(c2_1_4_1_1__bvfunc23,k1_relat_1(c2_1_4__bvfunc23))
    & c1_1_4_1_1__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,c2_1_4_1_1__bvfunc23) ),
    inference(consider,[status(thm),assumptions([dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_1__bvfunc23])],[dh_c2_1_4_1_1__bvfunc23,e2_1_4_1_1__bvfunc23]),
    [interesting(0.35),file(bvfunc23,e3_1_4_1_1__bvfunc23),[file(bvfunc23,e3_1_4_1_1__bvfunc23)]]).

fof(e2_1_4_1_1_1_1_1__bvfunc23,plain,(
    r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1_1_1_1_1__bvfunc23,dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_1__bvfunc23])],[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_1__bvfunc23,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_k3_enumset1,dt_c1_1_4_1_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c2_1_4_1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t1_subset,t7_boole,e1_1_4_1_1_1_1_1__bvfunc23,e3_1_4_1_1__bvfunc23,d3_enumset1]),
    [interesting(0.02),file(bvfunc23,e2_1_4_1_1_1_1_1__bvfunc23),[file(bvfunc23,e2_1_4_1_1_1_1_1__bvfunc23)]]).

fof(i2_1_4_1_1_1_1_1__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_4_1_1_1_1_1__bvfunc23)]),
    [interesting(0.02),trivial,file(bvfunc23,i2_1_4_1_1_1_1_1__bvfunc23)]).

fof(i1_1_4_1_1_1_1_1__bvfunc23,plain,(
    r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ),
    inference(conclusion,[status(thm),assumptions([dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1_1_1_1_1__bvfunc23,dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_1__bvfunc23])],[e2_1_4_1_1_1_1_1__bvfunc23,i2_1_4_1_1_1_1_1__bvfunc23]),
    [interesting(0.02),file(bvfunc23,i1_1_4_1_1_1_1_1__bvfunc23),[file(bvfunc23,i1_1_4_1_1_1_1_1__bvfunc23)]]).

fof(i1_1_4_1_1_1_1__bvfunc23,plain,
    ( c2_1_4_1_1__bvfunc23 = c4_1__bvfunc23
   => ( c2_1_4_1_1__bvfunc23 = c4_1__bvfunc23
      & r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_1__bvfunc23]),discharge_asm(discharge,[e1_1_4_1_1_1_1_1__bvfunc23])],[e1_1_4_1_1_1_1_1__bvfunc23,i1_1_4_1_1_1_1_1__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_4_1_1_1_1__bvfunc23),[file(bvfunc23,i1_1_4_1_1_1_1__bvfunc23)]]).

fof(e1_1_4_1_1_1_1_2__bvfunc23,assumption,(
    c2_1_4_1_1__bvfunc23 = c5_1__bvfunc23 ),
    introduced(assumption,[file(bvfunc23,e1_1_4_1_1_1_1_2__bvfunc23)]),
    [interesting(0.02),axiom,file(bvfunc23,e1_1_4_1_1_1_1_2__bvfunc23)]).

fof(e2_1_4_1_1_1_1_2__bvfunc23,plain,(
    r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1_1_1_1_2__bvfunc23,dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_1__bvfunc23])],[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_1__bvfunc23,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_k3_enumset1,dt_c1_1_4_1_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c2_1_4_1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t1_subset,t7_boole,e1_1_4_1_1_1_1_2__bvfunc23,e3_1_4_1_1__bvfunc23,d3_enumset1]),
    [interesting(0.02),file(bvfunc23,e2_1_4_1_1_1_1_2__bvfunc23),[file(bvfunc23,e2_1_4_1_1_1_1_2__bvfunc23)]]).

fof(i2_1_4_1_1_1_1_2__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_4_1_1_1_1_2__bvfunc23)]),
    [interesting(0.02),trivial,file(bvfunc23,i2_1_4_1_1_1_1_2__bvfunc23)]).

fof(i1_1_4_1_1_1_1_2__bvfunc23,plain,(
    r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ),
    inference(conclusion,[status(thm),assumptions([dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1_1_1_1_2__bvfunc23,dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_1__bvfunc23])],[e2_1_4_1_1_1_1_2__bvfunc23,i2_1_4_1_1_1_1_2__bvfunc23]),
    [interesting(0.02),file(bvfunc23,i1_1_4_1_1_1_1_2__bvfunc23),[file(bvfunc23,i1_1_4_1_1_1_1_2__bvfunc23)]]).

fof(i2_1_4_1_1_1_1__bvfunc23,plain,
    ( c2_1_4_1_1__bvfunc23 = c5_1__bvfunc23
   => ( c2_1_4_1_1__bvfunc23 = c5_1__bvfunc23
      & r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_1__bvfunc23]),discharge_asm(discharge,[e1_1_4_1_1_1_1_2__bvfunc23])],[e1_1_4_1_1_1_1_2__bvfunc23,i1_1_4_1_1_1_1_2__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i2_1_4_1_1_1_1__bvfunc23),[file(bvfunc23,i2_1_4_1_1_1_1__bvfunc23)]]).

fof(e1_1_4_1_1_1_1_3__bvfunc23,assumption,(
    c2_1_4_1_1__bvfunc23 = c6_1__bvfunc23 ),
    introduced(assumption,[file(bvfunc23,e1_1_4_1_1_1_1_3__bvfunc23)]),
    [interesting(0.02),axiom,file(bvfunc23,e1_1_4_1_1_1_1_3__bvfunc23)]).

fof(e2_1_4_1_1_1_1_3__bvfunc23,plain,(
    r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1_1_1_1_3__bvfunc23,dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_1__bvfunc23])],[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_1__bvfunc23,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_k3_enumset1,dt_c1_1_4_1_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c2_1_4_1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t1_subset,t7_boole,e1_1_4_1_1_1_1_3__bvfunc23,e3_1_4_1_1__bvfunc23,d3_enumset1]),
    [interesting(0.02),file(bvfunc23,e2_1_4_1_1_1_1_3__bvfunc23),[file(bvfunc23,e2_1_4_1_1_1_1_3__bvfunc23)]]).

fof(i2_1_4_1_1_1_1_3__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_4_1_1_1_1_3__bvfunc23)]),
    [interesting(0.02),trivial,file(bvfunc23,i2_1_4_1_1_1_1_3__bvfunc23)]).

fof(i1_1_4_1_1_1_1_3__bvfunc23,plain,(
    r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ),
    inference(conclusion,[status(thm),assumptions([dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1_1_1_1_3__bvfunc23,dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_1__bvfunc23])],[e2_1_4_1_1_1_1_3__bvfunc23,i2_1_4_1_1_1_1_3__bvfunc23]),
    [interesting(0.02),file(bvfunc23,i1_1_4_1_1_1_1_3__bvfunc23),[file(bvfunc23,i1_1_4_1_1_1_1_3__bvfunc23)]]).

fof(i3_1_4_1_1_1_1__bvfunc23,plain,
    ( c2_1_4_1_1__bvfunc23 = c6_1__bvfunc23
   => ( c2_1_4_1_1__bvfunc23 = c6_1__bvfunc23
      & r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_1__bvfunc23]),discharge_asm(discharge,[e1_1_4_1_1_1_1_3__bvfunc23])],[e1_1_4_1_1_1_1_3__bvfunc23,i1_1_4_1_1_1_1_3__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i3_1_4_1_1_1_1__bvfunc23),[file(bvfunc23,i3_1_4_1_1_1_1__bvfunc23)]]).

fof(e1_1_4_1_1_1_1_4__bvfunc23,assumption,(
    c2_1_4_1_1__bvfunc23 = c7_1__bvfunc23 ),
    introduced(assumption,[file(bvfunc23,e1_1_4_1_1_1_1_4__bvfunc23)]),
    [interesting(0.02),axiom,file(bvfunc23,e1_1_4_1_1_1_1_4__bvfunc23)]).

fof(e2_1_4_1_1_1_1_4__bvfunc23,plain,(
    r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1_1_1_1_4__bvfunc23,dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_1__bvfunc23])],[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_1__bvfunc23,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_k3_enumset1,dt_c1_1_4_1_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c2_1_4_1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t1_subset,t7_boole,e1_1_4_1_1_1_1_4__bvfunc23,e3_1_4_1_1__bvfunc23,d3_enumset1]),
    [interesting(0.02),file(bvfunc23,e2_1_4_1_1_1_1_4__bvfunc23),[file(bvfunc23,e2_1_4_1_1_1_1_4__bvfunc23)]]).

fof(i2_1_4_1_1_1_1_4__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_4_1_1_1_1_4__bvfunc23)]),
    [interesting(0.02),trivial,file(bvfunc23,i2_1_4_1_1_1_1_4__bvfunc23)]).

fof(i1_1_4_1_1_1_1_4__bvfunc23,plain,(
    r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ),
    inference(conclusion,[status(thm),assumptions([dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1_1_1_1_4__bvfunc23,dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_1__bvfunc23])],[e2_1_4_1_1_1_1_4__bvfunc23,i2_1_4_1_1_1_1_4__bvfunc23]),
    [interesting(0.02),file(bvfunc23,i1_1_4_1_1_1_1_4__bvfunc23),[file(bvfunc23,i1_1_4_1_1_1_1_4__bvfunc23)]]).

fof(i4_1_4_1_1_1_1__bvfunc23,plain,
    ( c2_1_4_1_1__bvfunc23 = c7_1__bvfunc23
   => ( c2_1_4_1_1__bvfunc23 = c7_1__bvfunc23
      & r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_1__bvfunc23]),discharge_asm(discharge,[e1_1_4_1_1_1_1_4__bvfunc23])],[e1_1_4_1_1_1_1_4__bvfunc23,i1_1_4_1_1_1_1_4__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i4_1_4_1_1_1_1__bvfunc23),[file(bvfunc23,i4_1_4_1_1_1_1__bvfunc23)]]).

fof(e1_1_4_1_1_1_1_5__bvfunc23,assumption,(
    c2_1_4_1_1__bvfunc23 = c8_1__bvfunc23 ),
    introduced(assumption,[file(bvfunc23,e1_1_4_1_1_1_1_5__bvfunc23)]),
    [interesting(0.02),axiom,file(bvfunc23,e1_1_4_1_1_1_1_5__bvfunc23)]).

fof(e2_1_4_1_1_1_1_5__bvfunc23,plain,(
    r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1_1_1_1_5__bvfunc23,dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_1__bvfunc23])],[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_1__bvfunc23,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_k3_enumset1,dt_c1_1_4_1_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c2_1_4_1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t1_subset,t7_boole,e1_1_4_1_1_1_1_5__bvfunc23,e3_1_4_1_1__bvfunc23,d3_enumset1]),
    [interesting(0.02),file(bvfunc23,e2_1_4_1_1_1_1_5__bvfunc23),[file(bvfunc23,e2_1_4_1_1_1_1_5__bvfunc23)]]).

fof(i2_1_4_1_1_1_1_5__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_4_1_1_1_1_5__bvfunc23)]),
    [interesting(0.02),trivial,file(bvfunc23,i2_1_4_1_1_1_1_5__bvfunc23)]).

fof(i1_1_4_1_1_1_1_5__bvfunc23,plain,(
    r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ),
    inference(conclusion,[status(thm),assumptions([dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_4_1_1_1_1_5__bvfunc23,dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_1__bvfunc23])],[e2_1_4_1_1_1_1_5__bvfunc23,i2_1_4_1_1_1_1_5__bvfunc23]),
    [interesting(0.02),file(bvfunc23,i1_1_4_1_1_1_1_5__bvfunc23),[file(bvfunc23,i1_1_4_1_1_1_1_5__bvfunc23)]]).

fof(i5_1_4_1_1_1_1__bvfunc23,plain,
    ( c2_1_4_1_1__bvfunc23 = c8_1__bvfunc23
   => ( c2_1_4_1_1__bvfunc23 = c8_1__bvfunc23
      & r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_1__bvfunc23]),discharge_asm(discharge,[e1_1_4_1_1_1_1_5__bvfunc23])],[e1_1_4_1_1_1_1_5__bvfunc23,i1_1_4_1_1_1_1_5__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i5_1_4_1_1_1_1__bvfunc23),[file(bvfunc23,i5_1_4_1_1_1_1__bvfunc23)]]).

fof(e1_1_4_1_1_1_1__bvfunc23,plain,(
    ~ ( c2_1_4_1_1__bvfunc23 != c4_1__bvfunc23
      & c2_1_4_1_1__bvfunc23 != c5_1__bvfunc23
      & c2_1_4_1_1__bvfunc23 != c6_1__bvfunc23
      & c2_1_4_1_1__bvfunc23 != c7_1__bvfunc23
      & c2_1_4_1_1__bvfunc23 != c8_1__bvfunc23 ) ),
    inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_1__bvfunc23])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k2_xboole_0,dt_k3_enumset1,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_k8_setfam_1,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c1_1_4_1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c2_1_4_1_1__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc1_xboole_0,t1_boole,t1_subset,t3_boole,t4_boole,t6_boole,t7_boole,e3_1__bvfunc23,e9_1__bvfunc23,e11_1__bvfunc23,e3_1_4__bvfunc23,e3_1_4_1_1__bvfunc23,d3_enumset1]),
    [interesting(0.05),file(bvfunc23,e1_1_4_1_1_1_1__bvfunc23),[file(bvfunc23,e1_1_4_1_1_1_1__bvfunc23)]]).

fof(e4_1_4_1_1__bvfunc23,plain,(
    ~ ( ~ ( c2_1_4_1_1__bvfunc23 = c4_1__bvfunc23
          & r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) )
      & ~ ( c2_1_4_1_1__bvfunc23 = c5_1__bvfunc23
          & r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) )
      & ~ ( c2_1_4_1_1__bvfunc23 = c6_1__bvfunc23
          & r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) )
      & ~ ( c2_1_4_1_1__bvfunc23 = c7_1__bvfunc23
          & r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) )
      & ~ ( c2_1_4_1_1__bvfunc23 = c8_1__bvfunc23
          & r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ) ) ),
    inference(percases,[status(thm),assumptions([e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_1__bvfunc23])],[i1_1_4_1_1_1_1__bvfunc23,i2_1_4_1_1_1_1__bvfunc23,i3_1_4_1_1_1_1__bvfunc23,i4_1_4_1_1_1_1__bvfunc23,i5_1_4_1_1_1_1__bvfunc23,e1_1_4_1_1_1_1__bvfunc23]),
    [interesting(0.35),file(bvfunc23,e4_1_4_1_1__bvfunc23),[file(bvfunc23,e4_1_4_1_1__bvfunc23)]]).

fof(e5_1_4_1_1__bvfunc23,plain,(
    r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_1__bvfunc23])],[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_1__bvfunc23,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_k3_enumset1,dt_c1_1_4_1_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c2_1_4_1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t1_subset,t7_boole,e4_1_4_1_1__bvfunc23]),
    [interesting(0.35),file(bvfunc23,e5_1_4_1_1__bvfunc23),[file(bvfunc23,e5_1_4_1_1__bvfunc23)]]).

fof(i3_1_4_1_1__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i3_1_4_1_1__bvfunc23)]),
    [interesting(0.35),trivial,file(bvfunc23,i3_1_4_1_1__bvfunc23)]).

fof(i2_1_4_1_1__bvfunc23,plain,(
    r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ),
    inference(conclusion,[status(thm),assumptions([e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_1__bvfunc23])],[e5_1_4_1_1__bvfunc23,i3_1_4_1_1__bvfunc23]),
    [interesting(0.35),file(bvfunc23,i2_1_4_1_1__bvfunc23),[file(bvfunc23,i2_1_4_1_1__bvfunc23)]]).

fof(i1_1_4_1_1__bvfunc23,plain,(
    ~ ( r2_hidden(c1_1_4_1_1__bvfunc23,k2_relat_1(c2_1_4__bvfunc23))
      & ~ r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ) ),
    inference(discharge_asm,[status(thm),assumptions([e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1_4_1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23]),discharge_asm(discharge,[e1_1_4_1_1__bvfunc23])],[e1_1_4_1_1__bvfunc23,i2_1_4_1_1__bvfunc23]),
    [interesting(0.35),file(bvfunc23,i1_1_4_1_1__bvfunc23),[file(bvfunc23,i1_1_4_1_1__bvfunc23)]]).

fof(i1_1_4_1_1_tmp__bvfunc23,plain,(
    ~ ( r2_hidden(c1_1_4_1_1__bvfunc23,k2_relat_1(c2_1_4__bvfunc23))
      & ~ r2_hidden(c1_1_4_1_1__bvfunc23,k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ) ),
    inference(discharge_asm,[status(thm),assumptions([e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23]),discharge_asm(discharge,[dt_c1_1_4_1_1__bvfunc23])],[dt_c1_1_4_1_1__bvfunc23,i1_1_4_1_1__bvfunc23]),
    [interesting(0.5),e5_1_4_1__bvfunc23]).

fof(e5_1_4_1__bvfunc23,plain,(
    r1_tarski(k2_relat_1(c2_1_4__bvfunc23),k3_enumset1(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ),
    inference(let,[status(thm),assumptions([e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23])],[i1_1_4_1_1_tmp__bvfunc23,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_1__bvfunc23,cc2_eqrel_1,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k2_relat_1,dt_k3_enumset1,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,d3_tarski,dh_c1_1_4_1_1__bvfunc23]),
    [interesting(0.5),file(bvfunc23,e5_1_4_1__bvfunc23),[file(bvfunc23,e5_1_4_1__bvfunc23)]]).

fof(e1_1_4_1_2_1_1__bvfunc23,plain,(
    ~ ( c1_1_4_1_2__bvfunc23 != k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23)
      & c1_1_4_1_2__bvfunc23 != k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)
      & c1_1_4_1_2__bvfunc23 != k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)
      & c1_1_4_1_2__bvfunc23 != k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)
      & c1_1_4_1_2__bvfunc23 != k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_1_2__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_2__bvfunc23])],[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_1__bvfunc23,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_funct_1,dt_k2_relat_1,dt_k3_enumset1,dt_c1_1_4_1_2__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t1_subset,t3_subset,t7_boole,e5_1_4_1__bvfunc23,e1_1_4_1_2__bvfunc23,d3_enumset1]),
    [interesting(0.05),file(bvfunc23,e1_1_4_1_2_1_1__bvfunc23),[file(bvfunc23,e1_1_4_1_2_1_1__bvfunc23)]]).

fof(e2_1_4_1_2__bvfunc23,plain,(
    ~ ( ~ ( c1_1_4_1_2__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23)
          & r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) )
      & ~ ( c1_1_4_1_2__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)
          & r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) )
      & ~ ( c1_1_4_1_2__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)
          & r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) )
      & ~ ( c1_1_4_1_2__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)
          & r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) )
      & ~ ( c1_1_4_1_2__bvfunc23 = k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23)
          & r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) ) ) ),
    inference(percases,[status(thm),assumptions([dt_c1_1_4_1__bvfunc23,e1_1_4_1__bvfunc23,dt_c1_1_4_1_2__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_2__bvfunc23])],[i1_1_4_1_2_1_1__bvfunc23,i2_1_4_1_2_1_1__bvfunc23,i3_1_4_1_2_1_1__bvfunc23,i4_1_4_1_2_1_1__bvfunc23,i5_1_4_1_2_1_1__bvfunc23,e1_1_4_1_2_1_1__bvfunc23]),
    [interesting(0.35),file(bvfunc23,e2_1_4_1_2__bvfunc23),[file(bvfunc23,e2_1_4_1_2__bvfunc23)]]).

fof(e3_1_4_1_2__bvfunc23,plain,(
    r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_1__bvfunc23,e1_1_4_1__bvfunc23,dt_c1_1_4_1_2__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_2__bvfunc23])],[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_1__bvfunc23,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_1_4_1__bvfunc23,dt_c1_1_4_1_2__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t1_subset,t7_boole,e2_1_4_1_2__bvfunc23]),
    [interesting(0.35),file(bvfunc23,e3_1_4_1_2__bvfunc23),[file(bvfunc23,e3_1_4_1_2__bvfunc23)]]).

fof(i3_1_4_1_2__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i3_1_4_1_2__bvfunc23)]),
    [interesting(0.35),trivial,file(bvfunc23,i3_1_4_1_2__bvfunc23)]).

fof(i2_1_4_1_2__bvfunc23,plain,(
    r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_4_1__bvfunc23,e1_1_4_1__bvfunc23,dt_c1_1_4_1_2__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23,e1_1_4_1_2__bvfunc23])],[e3_1_4_1_2__bvfunc23,i3_1_4_1_2__bvfunc23]),
    [interesting(0.35),file(bvfunc23,i2_1_4_1_2__bvfunc23),[file(bvfunc23,i2_1_4_1_2__bvfunc23)]]).

fof(i1_1_4_1_2__bvfunc23,plain,
    ( r2_hidden(c1_1_4_1_2__bvfunc23,k2_relat_1(c2_1_4__bvfunc23))
   => r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_4_1__bvfunc23,e1_1_4_1__bvfunc23,dt_c1_1_4_1_2__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23]),discharge_asm(discharge,[e1_1_4_1_2__bvfunc23])],[e1_1_4_1_2__bvfunc23,i2_1_4_1_2__bvfunc23]),
    [interesting(0.35),file(bvfunc23,i1_1_4_1_2__bvfunc23),[file(bvfunc23,i1_1_4_1_2__bvfunc23)]]).

fof(i1_1_4_1_2_tmp__bvfunc23,plain,
    ( r2_hidden(c1_1_4_1_2__bvfunc23,k2_relat_1(c2_1_4__bvfunc23))
   => r2_hidden(c1_1_4_1__bvfunc23,c1_1_4_1_2__bvfunc23) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_4_1__bvfunc23,e1_1_4_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23]),discharge_asm(discharge,[dt_c1_1_4_1_2__bvfunc23])],[dt_c1_1_4_1_2__bvfunc23,i1_1_4_1_2__bvfunc23]),
    [interesting(0.5),e6_1_4_1__bvfunc23]).

fof(e6_1_4_1__bvfunc23,plain,(
    ! [A] : 
      ( r2_hidden(A,k2_relat_1(c2_1_4__bvfunc23))
     => r2_hidden(c1_1_4_1__bvfunc23,A) ) ),
    inference(let,[status(thm),assumptions([dt_c1_1_4_1__bvfunc23,e1_1_4_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23])],[i1_1_4_1_2_tmp__bvfunc23,dh_c1_1_4_1_2__bvfunc23]),
    [interesting(0.5),file(bvfunc23,e6_1_4_1__bvfunc23),[file(bvfunc23,e6_1_4_1__bvfunc23)]]).

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(e7_1_4__bvfunc23,plain,(
    k2_relat_1(c2_1_4__bvfunc23) != k1_xboole_0 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t3_subset,t4_boole,t4_subset,t5_subset,t8_boole,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k4_bvfunc_2,dt_k6_subset_1,dt_k8_setfam_1,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e3_1_4__bvfunc23,e4_1_4__bvfunc23,t12_funct_1]),
    [interesting(0.65),file(bvfunc23,e7_1_4__bvfunc23),[file(bvfunc23,e7_1_4__bvfunc23)]]).

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_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(e6_1_4__bvfunc23,plain,
    ( r2_hidden(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k2_relat_1(c2_1_4__bvfunc23))
    & r2_hidden(k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23),k2_relat_1(c2_1_4__bvfunc23))
    & r2_hidden(k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23),k2_relat_1(c2_1_4__bvfunc23))
    & r2_hidden(k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23),k2_relat_1(c2_1_4__bvfunc23))
    & r2_hidden(k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23),k2_relat_1(c2_1_4__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t3_subset,t4_boole,t4_subset,t5_subset,t8_boole,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k4_bvfunc_2,dt_k6_subset_1,dt_k8_setfam_1,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e3_1_4__bvfunc23,e4_1_4__bvfunc23,d5_funct_1]),
    [interesting(0.65),file(bvfunc23,e6_1_4__bvfunc23),[file(bvfunc23,e6_1_4__bvfunc23)]]).

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(e8_1_4__bvfunc23,plain,(
    k8_setfam_1(c1_1__bvfunc23,c3_1_4__bvfunc23) = k1_setfam_1(k2_relat_1(c2_1_4__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t4_boole,t5_subset,t8_boole,antisymmetry_r2_hidden,existence_m1_subset_1,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_setfam_1,redefinition_k6_subset_1,dt_k1_bvfunc_2,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_k4_bvfunc_2,dt_k6_setfam_1,dt_k6_subset_1,dt_k8_setfam_1,dt_m1_subset_1,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc1_subset_1,fc1_xboole_0,t1_subset,t3_subset,t4_subset,t6_boole,t7_boole,e3_1_4__bvfunc23,e6_1_4__bvfunc23,d10_setfam_1]),
    [interesting(0.65),file(bvfunc23,e8_1_4__bvfunc23),[file(bvfunc23,e8_1_4__bvfunc23)]]).

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(e7_1_4_1__bvfunc23,plain,(
    r2_hidden(c1_1_4_1__bvfunc23,c1_1_4__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_1__bvfunc23,e1_1_4_1__bvfunc23,dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t3_subset,t4_boole,t4_subset,t5_subset,t8_boole,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_setfam_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k4_bvfunc_2,dt_k6_subset_1,dt_k8_setfam_1,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c1_1_4_1__bvfunc23,dt_c2_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_4__bvfunc23,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e6_1_4_1__bvfunc23,e3_1_4__bvfunc23,e7_1_4__bvfunc23,e8_1_4__bvfunc23,d1_setfam_1]),
    [interesting(0.5),file(bvfunc23,e7_1_4_1__bvfunc23),[file(bvfunc23,e7_1_4_1__bvfunc23)]]).

fof(i3_1_4_1__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i3_1_4_1__bvfunc23)]),
    [interesting(0.5),trivial,file(bvfunc23,i3_1_4_1__bvfunc23)]).

fof(i2_1_4_1__bvfunc23,plain,(
    r2_hidden(c1_1_4_1__bvfunc23,c1_1_4__bvfunc23) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_4_1__bvfunc23,e1_1_4_1__bvfunc23,dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[e7_1_4_1__bvfunc23,i3_1_4_1__bvfunc23]),
    [interesting(0.5),file(bvfunc23,i2_1_4_1__bvfunc23),[file(bvfunc23,i2_1_4_1__bvfunc23)]]).

fof(i1_1_4_1__bvfunc23,plain,(
    ~ ( r2_hidden(c1_1_4_1__bvfunc23,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23)))
      & ~ r2_hidden(c1_1_4_1__bvfunc23,c1_1_4__bvfunc23) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_4_1__bvfunc23,dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23]),discharge_asm(discharge,[e1_1_4_1__bvfunc23])],[e1_1_4_1__bvfunc23,i2_1_4_1__bvfunc23]),
    [interesting(0.5),file(bvfunc23,i1_1_4_1__bvfunc23),[file(bvfunc23,i1_1_4_1__bvfunc23)]]).

fof(i1_1_4_1_tmp__bvfunc23,plain,(
    ~ ( r2_hidden(c1_1_4_1__bvfunc23,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23)))
      & ~ r2_hidden(c1_1_4_1__bvfunc23,c1_1_4__bvfunc23) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23]),discharge_asm(discharge,[dt_c1_1_4_1__bvfunc23])],[dt_c1_1_4_1__bvfunc23,i1_1_4_1__bvfunc23]),
    [interesting(0.65),e10_1_4__bvfunc23]).

fof(e10_1_4__bvfunc23,plain,(
    r1_tarski(k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23)),c1_1_4__bvfunc23) ),
    inference(let,[status(thm),assumptions([dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[i1_1_4_1_tmp__bvfunc23,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_1__bvfunc23,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_1_4__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,d3_tarski,dh_c1_1_4_1__bvfunc23]),
    [interesting(0.65),file(bvfunc23,e10_1_4__bvfunc23),[file(bvfunc23,e10_1_4__bvfunc23)]]).

fof(dt_c1_1_4_2__bvfunc23,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc23,c1_1_4_2__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,c1_1_4_2__bvfunc23)]).

fof(dh_c1_1_4_2__bvfunc23,definition,
    ( ~ ( r2_hidden(c1_1_4_2__bvfunc23,c1_1_4__bvfunc23)
        & ~ r2_hidden(c1_1_4_2__bvfunc23,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) )
   => ! [A] : 
        ~ ( r2_hidden(A,c1_1_4__bvfunc23)
          & ~ r2_hidden(A,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ) ),
    introduced(definition,[new_symbol(c1_1_4_2__bvfunc23),file(bvfunc23,c1_1_4_2__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,c1_1_4_2__bvfunc23)]).

fof(e1_1_4_2__bvfunc23,assumption,(
    r2_hidden(c1_1_4_2__bvfunc23,c1_1_4__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_4_2__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,e1_1_4_2__bvfunc23)]).

fof(e2_1_4_2__bvfunc23,plain,
    ( r2_hidden(c1_1_4_2__bvfunc23,k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23))
    & r2_hidden(c1_1_4_2__bvfunc23,k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23))
    & r2_hidden(c1_1_4_2__bvfunc23,k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23))
    & r2_hidden(c1_1_4_2__bvfunc23,k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23))
    & r2_hidden(c1_1_4_2__bvfunc23,k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_2__bvfunc23,e1_1_4_2__bvfunc23,dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t3_subset,t4_boole,t4_subset,t5_subset,t8_boole,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_setfam_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k4_bvfunc_2,dt_k6_subset_1,dt_k8_setfam_1,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c1_1_4_2__bvfunc23,dt_c2_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e1_1_4_2__bvfunc23,e3_1_4__bvfunc23,e6_1_4__bvfunc23,e8_1_4__bvfunc23,d1_setfam_1]),
    [interesting(0.5),file(bvfunc23,e2_1_4_2__bvfunc23),[file(bvfunc23,e2_1_4_2__bvfunc23)]]).

fof(e3_1_4_2__bvfunc23,plain,(
    r2_hidden(c1_1_4_2__bvfunc23,k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_2__bvfunc23,e1_1_4_2__bvfunc23,dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[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_1__bvfunc23,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_1_4_2__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t1_subset,t7_boole,e2_1_4_2__bvfunc23,d3_xboole_0]),
    [interesting(0.5),file(bvfunc23,e3_1_4_2__bvfunc23),[file(bvfunc23,e3_1_4_2__bvfunc23)]]).

fof(e4_1_4_2__bvfunc23,plain,(
    r2_hidden(c1_1_4_2__bvfunc23,k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_2__bvfunc23,e1_1_4_2__bvfunc23,dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[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_1__bvfunc23,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_1_4_2__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t1_subset,t7_boole,e3_1_4_2__bvfunc23,e2_1_4_2__bvfunc23,d3_xboole_0]),
    [interesting(0.5),file(bvfunc23,e4_1_4_2__bvfunc23),[file(bvfunc23,e4_1_4_2__bvfunc23)]]).

fof(e5_1_4_2__bvfunc23,plain,(
    r2_hidden(c1_1_4_2__bvfunc23,k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_2__bvfunc23,e1_1_4_2__bvfunc23,dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[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_1__bvfunc23,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_1_4_2__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t1_subset,t7_boole,e4_1_4_2__bvfunc23,e2_1_4_2__bvfunc23,d3_xboole_0]),
    [interesting(0.5),file(bvfunc23,e5_1_4_2__bvfunc23),[file(bvfunc23,e5_1_4_2__bvfunc23)]]).

fof(e6_1_4_2__bvfunc23,plain,(
    r2_hidden(c1_1_4_2__bvfunc23,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4_2__bvfunc23,e1_1_4_2__bvfunc23,dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[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_1__bvfunc23,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_1_4_2__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t1_subset,t7_boole,e5_1_4_2__bvfunc23,e2_1_4_2__bvfunc23,d3_xboole_0]),
    [interesting(0.5),file(bvfunc23,e6_1_4_2__bvfunc23),[file(bvfunc23,e6_1_4_2__bvfunc23)]]).

fof(i3_1_4_2__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i3_1_4_2__bvfunc23)]),
    [interesting(0.5),trivial,file(bvfunc23,i3_1_4_2__bvfunc23)]).

fof(i2_1_4_2__bvfunc23,plain,(
    r2_hidden(c1_1_4_2__bvfunc23,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_4_2__bvfunc23,e1_1_4_2__bvfunc23,dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[e6_1_4_2__bvfunc23,i3_1_4_2__bvfunc23]),
    [interesting(0.5),file(bvfunc23,i2_1_4_2__bvfunc23),[file(bvfunc23,i2_1_4_2__bvfunc23)]]).

fof(i1_1_4_2__bvfunc23,plain,(
    ~ ( r2_hidden(c1_1_4_2__bvfunc23,c1_1_4__bvfunc23)
      & ~ r2_hidden(c1_1_4_2__bvfunc23,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_4_2__bvfunc23,dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23]),discharge_asm(discharge,[e1_1_4_2__bvfunc23])],[e1_1_4_2__bvfunc23,i2_1_4_2__bvfunc23]),
    [interesting(0.5),file(bvfunc23,i1_1_4_2__bvfunc23),[file(bvfunc23,i1_1_4_2__bvfunc23)]]).

fof(i1_1_4_2_tmp__bvfunc23,plain,(
    ~ ( r2_hidden(c1_1_4_2__bvfunc23,c1_1_4__bvfunc23)
      & ~ r2_hidden(c1_1_4_2__bvfunc23,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23]),discharge_asm(discharge,[dt_c1_1_4_2__bvfunc23])],[dt_c1_1_4_2__bvfunc23,i1_1_4_2__bvfunc23]),
    [interesting(0.65),e11_1_4__bvfunc23]).

fof(e11_1_4__bvfunc23,plain,(
    r1_tarski(c1_1_4__bvfunc23,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23))) ),
    inference(let,[status(thm),assumptions([dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[i1_1_4_2_tmp__bvfunc23,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_1__bvfunc23,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_1_4__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,d3_tarski,dh_c1_1_4_2__bvfunc23]),
    [interesting(0.65),file(bvfunc23,e11_1_4__bvfunc23),[file(bvfunc23,e11_1_4__bvfunc23)]]).

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(e17_1_4__bvfunc23,plain,(
    k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)) != k1_xboole_0 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t4_boole,t4_subset,t5_subset,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,reflexivity_r1_tarski,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k3_xboole_0,dt_k4_bvfunc_2,dt_k6_subset_1,dt_k8_setfam_1,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc1_xboole_0,t1_subset,t2_boole,t3_subset,t6_boole,t7_boole,e3_1_4__bvfunc23,e10_1_4__bvfunc23,e11_1_4__bvfunc23,d10_xboole_0]),
    [interesting(0.65),file(bvfunc23,e17_1_4__bvfunc23),[file(bvfunc23,e17_1_4__bvfunc23)]]).

fof(e18_1_4__bvfunc23,plain,(
    ~ r2_hidden(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_tarski(k1_xboole_0)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[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_1__bvfunc23,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_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t6_boole,t7_boole,e17_1_4__bvfunc23,d1_tarski]),
    [interesting(0.65),file(bvfunc23,e18_1_4__bvfunc23),[file(bvfunc23,e18_1_4__bvfunc23)]]).

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(e20_1_4__bvfunc23,plain,(
    r2_hidden(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k4_xboole_0(k3_setfam_1(c4_1__bvfunc23,c5_1__bvfunc23),k1_tarski(k1_xboole_0))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[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_1__bvfunc23,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_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t3_boole,t4_boole,t6_boole,t7_boole,e19_1_4__bvfunc23,e18_1_4__bvfunc23,d4_xboole_0]),
    [interesting(0.65),file(bvfunc23,e20_1_4__bvfunc23),[file(bvfunc23,e20_1_4__bvfunc23)]]).

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(e21_1_4__bvfunc23,plain,(
    r2_hidden(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[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_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,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,e20_1_4__bvfunc23,d4_partit1]),
    [interesting(0.65),file(bvfunc23,e21_1_4__bvfunc23),[file(bvfunc23,e21_1_4__bvfunc23)]]).

fof(e22_1_4__bvfunc23,plain,(
    r2_hidden(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k3_setfam_1(k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23])],[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_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t1_subset,t7_boole,e21_1_4__bvfunc23,e5_1_4__bvfunc23,d5_setfam_1]),
    [interesting(0.65),file(bvfunc23,e22_1_4__bvfunc23),[file(bvfunc23,e22_1_4__bvfunc23)]]).

fof(e15_1_4__bvfunc23,plain,(
    k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)) != k1_xboole_0 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t4_boole,t4_subset,t5_subset,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,reflexivity_r1_tarski,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k3_xboole_0,dt_k4_bvfunc_2,dt_k6_subset_1,dt_k8_setfam_1,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc1_xboole_0,t1_subset,t2_boole,t3_subset,t6_boole,t7_boole,e3_1_4__bvfunc23,e10_1_4__bvfunc23,e11_1_4__bvfunc23,d10_xboole_0]),
    [interesting(0.65),file(bvfunc23,e15_1_4__bvfunc23),[file(bvfunc23,e15_1_4__bvfunc23)]]).

fof(e16_1_4__bvfunc23,plain,(
    ~ r2_hidden(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k1_tarski(k1_xboole_0)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[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_1__bvfunc23,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_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t6_boole,t7_boole,e15_1_4__bvfunc23,d1_tarski]),
    [interesting(0.65),file(bvfunc23,e16_1_4__bvfunc23),[file(bvfunc23,e16_1_4__bvfunc23)]]).

fof(e23_1_4__bvfunc23,plain,(
    r2_hidden(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k4_xboole_0(k3_setfam_1(k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),k1_tarski(k1_xboole_0))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[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_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_c1_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t3_boole,t4_boole,t6_boole,t7_boole,e22_1_4__bvfunc23,e16_1_4__bvfunc23,d4_xboole_0]),
    [interesting(0.65),file(bvfunc23,e23_1_4__bvfunc23),[file(bvfunc23,e23_1_4__bvfunc23)]]).

fof(e24_1_4__bvfunc23,plain,(
    r2_hidden(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[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_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,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,e23_1_4__bvfunc23,d4_partit1]),
    [interesting(0.65),file(bvfunc23,e24_1_4__bvfunc23),[file(bvfunc23,e24_1_4__bvfunc23)]]).

fof(e25_1_4__bvfunc23,plain,(
    r2_hidden(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)),k3_setfam_1(k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23])],[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_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t1_subset,t7_boole,e24_1_4__bvfunc23,e5_1_4__bvfunc23,d5_setfam_1]),
    [interesting(0.65),file(bvfunc23,e25_1_4__bvfunc23),[file(bvfunc23,e25_1_4__bvfunc23)]]).

fof(e13_1_4__bvfunc23,plain,(
    k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)) != k1_xboole_0 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t4_boole,t4_subset,t5_subset,t8_boole,commutativity_k3_xboole_0,idempotence_k3_xboole_0,reflexivity_r1_tarski,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_xboole_0,dt_k2_relat_1,dt_k3_xboole_0,dt_k4_bvfunc_2,dt_k6_subset_1,dt_k8_setfam_1,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc1_xboole_0,t1_subset,t2_boole,t3_subset,t6_boole,t7_boole,e3_1_4__bvfunc23,e10_1_4__bvfunc23,e11_1_4__bvfunc23,d10_xboole_0]),
    [interesting(0.65),file(bvfunc23,e13_1_4__bvfunc23),[file(bvfunc23,e13_1_4__bvfunc23)]]).

fof(e14_1_4__bvfunc23,plain,(
    ~ r2_hidden(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)),k1_tarski(k1_xboole_0)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[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_1__bvfunc23,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_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t6_boole,t7_boole,e13_1_4__bvfunc23,d1_tarski]),
    [interesting(0.65),file(bvfunc23,e14_1_4__bvfunc23),[file(bvfunc23,e14_1_4__bvfunc23)]]).

fof(e26_1_4__bvfunc23,plain,(
    r2_hidden(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)),k4_xboole_0(k3_setfam_1(k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),k1_tarski(k1_xboole_0))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[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_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_c1_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t3_boole,t4_boole,t6_boole,t7_boole,e25_1_4__bvfunc23,e14_1_4__bvfunc23,d4_xboole_0]),
    [interesting(0.65),file(bvfunc23,e26_1_4__bvfunc23),[file(bvfunc23,e26_1_4__bvfunc23)]]).

fof(e27_1_4__bvfunc23,plain,(
    r2_hidden(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)),k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[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_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,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,e26_1_4__bvfunc23,d4_partit1]),
    [interesting(0.65),file(bvfunc23,e27_1_4__bvfunc23),[file(bvfunc23,e27_1_4__bvfunc23)]]).

fof(e12_1_4__bvfunc23,plain,(
    k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(k1_funct_1(c2_1_4__bvfunc23,c4_1__bvfunc23),k1_funct_1(c2_1_4__bvfunc23,c5_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c6_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c7_1__bvfunc23)),k1_funct_1(c2_1_4__bvfunc23,c8_1__bvfunc23)) = c1_1_4__bvfunc23 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[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_1__bvfunc23,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_1_4__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t3_subset,e11_1_4__bvfunc23,e10_1_4__bvfunc23,d10_xboole_0]),
    [interesting(0.65),file(bvfunc23,e12_1_4__bvfunc23),[file(bvfunc23,e12_1_4__bvfunc23)]]).

fof(e28_1_4__bvfunc23,plain,(
    r2_hidden(c1_1_4__bvfunc23,k3_setfam_1(k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),c8_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_4__bvfunc23,e1_1_4__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[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_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t1_subset,t7_boole,e27_1_4__bvfunc23,e5_1_4__bvfunc23,e12_1_4__bvfunc23,d5_setfam_1]),
    [interesting(0.65),file(bvfunc23,e28_1_4__bvfunc23),[file(bvfunc23,e28_1_4__bvfunc23)]]).

fof(e9_1_4__bvfunc23,plain,(
    ~ r2_hidden(c1_1_4__bvfunc23,k1_tarski(k1_xboole_0)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_boole,t3_subset,t4_boole,t4_subset,t5_subset,t8_boole,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_funct_1,dt_k1_relat_1,dt_k1_tarski,dt_k1_xboole_0,dt_k2_relat_1,dt_k4_bvfunc_2,dt_k6_subset_1,dt_k8_setfam_1,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c2_1_4__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_4__bvfunc23,fc1_xboole_0,fc2_subset_1,t1_subset,t6_boole,t7_boole,e3_1_4__bvfunc23,d1_tarski]),
    [interesting(0.65),file(bvfunc23,e9_1_4__bvfunc23),[file(bvfunc23,e9_1_4__bvfunc23)]]).

fof(e29_1_4__bvfunc23,plain,(
    r2_hidden(c1_1_4__bvfunc23,k4_xboole_0(k3_setfam_1(k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),c8_1__bvfunc23),k1_tarski(k1_xboole_0))) ),
    inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23])],[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_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc1_xboole_0,fc2_subset_1,t1_subset,t3_boole,t4_boole,t6_boole,t7_boole,e28_1_4__bvfunc23,e9_1_4__bvfunc23,d4_xboole_0]),
    [interesting(0.65),file(bvfunc23,e29_1_4__bvfunc23),[file(bvfunc23,e29_1_4__bvfunc23)]]).

fof(e30_1_4__bvfunc23,plain,(
    r2_hidden(c1_1_4__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),c8_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23])],[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_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,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,e29_1_4__bvfunc23,d4_partit1]),
    [interesting(0.65),file(bvfunc23,e30_1_4__bvfunc23),[file(bvfunc23,e30_1_4__bvfunc23)]]).

fof(i3_1_4__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i3_1_4__bvfunc23)]),
    [interesting(0.65),trivial,file(bvfunc23,i3_1_4__bvfunc23)]).

fof(i2_1_4__bvfunc23,plain,(
    r2_hidden(c1_1_4__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),c8_1__bvfunc23)) ),
    inference(conclusion,[status(thm),assumptions([e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_4__bvfunc23])],[e30_1_4__bvfunc23,i3_1_4__bvfunc23]),
    [interesting(0.65),file(bvfunc23,i2_1_4__bvfunc23),[file(bvfunc23,i2_1_4__bvfunc23)]]).

fof(i1_1_4__bvfunc23,plain,(
    ~ ( r2_hidden(c1_1_4__bvfunc23,k2_bvfunc_2(c1_1__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))))
      & ~ r2_hidden(c1_1_4__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),c8_1__bvfunc23)) ) ),
    inference(discharge_asm,[status(thm),assumptions([e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23]),discharge_asm(discharge,[e1_1_4__bvfunc23])],[e1_1_4__bvfunc23,i2_1_4__bvfunc23]),
    [interesting(0.65),file(bvfunc23,i1_1_4__bvfunc23),[file(bvfunc23,i1_1_4__bvfunc23)]]).

fof(i1_1_4_tmp__bvfunc23,plain,(
    ~ ( r2_hidden(c1_1_4__bvfunc23,k2_bvfunc_2(c1_1__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))))
      & ~ r2_hidden(c1_1_4__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),c8_1__bvfunc23)) ) ),
    inference(discharge_asm,[status(thm),assumptions([e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23]),discharge_asm(discharge,[dt_c1_1_4__bvfunc23])],[dt_c1_1_4__bvfunc23,i1_1_4__bvfunc23]),
    [interesting(0.8),e13_1__bvfunc23]).

fof(e13_1__bvfunc23,plain,(
    r1_tarski(k2_bvfunc_2(c1_1__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))),k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),c8_1__bvfunc23)) ),
    inference(let,[status(thm),assumptions([e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23])],[i1_1_4_tmp__bvfunc23,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,commutativity_k2_partit1,reflexivity_r1_tarski,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k2_bvfunc_2,dt_k2_partit1,dt_k4_bvfunc_2,dt_k6_subset_1,dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,d3_tarski,dh_c1_1_4__bvfunc23]),
    [interesting(0.8),file(bvfunc23,e13_1__bvfunc23),[file(bvfunc23,e13_1__bvfunc23)]]).

fof(d7_bvfunc_2,definition,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( m1_eqrel_1(B,A)
         => ! [C] : 
              ( m1_subset_1(C,k1_zfmisc_1(k1_bvfunc_2(A)))
             => k5_bvfunc_2(A,B,C) = k2_bvfunc_2(A,k6_subset_1(k1_bvfunc_2(A),C,k4_bvfunc_2(A,B))) ) ) ) ),
    file(bvfunc_2,d7_bvfunc_2),
    [interesting(0.9),axiom,file(bvfunc_2,d7_bvfunc_2)]).

fof(e2_1__bvfunc23,plain,(
    k5_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_bvfunc_2(c1_1__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23])],[reflexivity_r1_tarski,antisymmetry_r2_hidden,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_xboole_0,dt_k4_xboole_0,dt_m1_t_1topsp,fc1_xboole_0,fc2_subset_1,t1_subset,t3_boole,t4_boole,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_zfmisc_1,dt_k2_bvfunc_2,dt_k4_bvfunc_2,dt_k5_bvfunc_2,dt_k6_subset_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__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,d7_bvfunc_2]),
    [interesting(0.8),file(bvfunc23,e2_1__bvfunc23),[file(bvfunc23,e2_1__bvfunc23)]]).

fof(dt_c1_1_3__bvfunc23,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc23,c1_1_3__bvfunc23)]),
    [interesting(0.65),axiom,file(bvfunc23,c1_1_3__bvfunc23)]).

fof(dh_c1_1_3__bvfunc23,definition,
    ( ~ ( r2_hidden(c1_1_3__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),c8_1__bvfunc23))
        & ~ r2_hidden(c1_1_3__bvfunc23,k2_bvfunc_2(c1_1__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))) )
   => ! [A] : 
        ~ ( r2_hidden(A,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),c8_1__bvfunc23))
          & ~ r2_hidden(A,k2_bvfunc_2(c1_1__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))) ) ),
    introduced(definition,[new_symbol(c1_1_3__bvfunc23),file(bvfunc23,c1_1_3__bvfunc23)]),
    [interesting(0.65),axiom,file(bvfunc23,c1_1_3__bvfunc23)]).

fof(e1_1_3__bvfunc23,assumption,(
    r2_hidden(c1_1_3__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),c8_1__bvfunc23)) ),
    introduced(assumption,[file(bvfunc23,e1_1_3__bvfunc23)]),
    [interesting(0.65),axiom,file(bvfunc23,e1_1_3__bvfunc23)]).

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_1_3__bvfunc23,definition,
    ( ? [A,B] : 
        ( r2_hidden(A,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23))
        & r2_hidden(B,c8_1__bvfunc23)
        & c1_1_3__bvfunc23 = k3_xboole_0(A,B) )
   => ? [C] : 
        ( r2_hidden(c2_1_3__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23))
        & r2_hidden(C,c8_1__bvfunc23)
        & c1_1_3__bvfunc23 = k3_xboole_0(c2_1_3__bvfunc23,C) ) ),
    introduced(definition,[new_symbol(c2_1_3__bvfunc23),file(bvfunc23,c2_1_3__bvfunc23)]),
    [interesting(0.65),axiom,file(bvfunc23,c2_1_3__bvfunc23)]).

fof(dh_c3_1_3__bvfunc23,definition,
    ( ? [A] : 
        ( r2_hidden(c2_1_3__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23))
        & r2_hidden(A,c8_1__bvfunc23)
        & c1_1_3__bvfunc23 = k3_xboole_0(c2_1_3__bvfunc23,A) )
   => ( r2_hidden(c2_1_3__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23))
      & r2_hidden(c3_1_3__bvfunc23,c8_1__bvfunc23)
      & c1_1_3__bvfunc23 = k3_xboole_0(c2_1_3__bvfunc23,c3_1_3__bvfunc23) ) ),
    introduced(definition,[new_symbol(c3_1_3__bvfunc23),file(bvfunc23,c3_1_3__bvfunc23)]),
    [interesting(0.65),axiom,file(bvfunc23,c3_1_3__bvfunc23)]).

fof(e2_1_3__bvfunc23,plain,(
    r2_hidden(c1_1_3__bvfunc23,k4_xboole_0(k3_setfam_1(k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),c8_1__bvfunc23),k1_tarski(k1_xboole_0))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,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_1_3__bvfunc23,d4_partit1]),
    [interesting(0.65),file(bvfunc23,e2_1_3__bvfunc23),[file(bvfunc23,e2_1_3__bvfunc23)]]).

fof(e3_1_3__bvfunc23,plain,
    ( r2_hidden(c1_1_3__bvfunc23,k3_setfam_1(k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),c8_1__bvfunc23))
    & ~ r2_hidden(c1_1_3__bvfunc23,k1_tarski(k1_xboole_0)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc1_xboole_0,fc2_subset_1,t1_subset,t3_boole,t4_boole,t6_boole,t7_boole,e2_1_3__bvfunc23,d4_xboole_0]),
    [interesting(0.65),file(bvfunc23,e3_1_3__bvfunc23),[file(bvfunc23,e3_1_3__bvfunc23)]]).

fof(e4_1_3__bvfunc23,plain,(
    ? [A,B] : 
      ( r2_hidden(A,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23))
      & r2_hidden(B,c8_1__bvfunc23)
      & c1_1_3__bvfunc23 = k3_xboole_0(A,B) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t6_boole,t7_boole,e3_1_3__bvfunc23,d5_setfam_1]),
    [interesting(0.65),file(bvfunc23,e4_1_3__bvfunc23),[file(bvfunc23,e4_1_3__bvfunc23)]]).

fof(dt_c3_1_3__bvfunc23,plain,(
    $true ),
    inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[dh_c2_1_3__bvfunc23,dh_c3_1_3__bvfunc23,e4_1_3__bvfunc23]),
    [interesting(0.65),file(bvfunc23,c3_1_3__bvfunc23),[file(bvfunc23,c3_1_3__bvfunc23)]]).

fof(dh_c4_1_3__bvfunc23,definition,
    ( ? [A,B] : 
        ( r2_hidden(A,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23))
        & r2_hidden(B,c7_1__bvfunc23)
        & c2_1_3__bvfunc23 = k3_xboole_0(A,B) )
   => ? [C] : 
        ( r2_hidden(c4_1_3__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23))
        & r2_hidden(C,c7_1__bvfunc23)
        & c2_1_3__bvfunc23 = k3_xboole_0(c4_1_3__bvfunc23,C) ) ),
    introduced(definition,[new_symbol(c4_1_3__bvfunc23),file(bvfunc23,c4_1_3__bvfunc23)]),
    [interesting(0.65),axiom,file(bvfunc23,c4_1_3__bvfunc23)]).

fof(dh_c5_1_3__bvfunc23,definition,
    ( ? [A] : 
        ( r2_hidden(c4_1_3__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23))
        & r2_hidden(A,c7_1__bvfunc23)
        & c2_1_3__bvfunc23 = k3_xboole_0(c4_1_3__bvfunc23,A) )
   => ( r2_hidden(c4_1_3__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23))
      & r2_hidden(c5_1_3__bvfunc23,c7_1__bvfunc23)
      & c2_1_3__bvfunc23 = k3_xboole_0(c4_1_3__bvfunc23,c5_1_3__bvfunc23) ) ),
    introduced(definition,[new_symbol(c5_1_3__bvfunc23),file(bvfunc23,c5_1_3__bvfunc23)]),
    [interesting(0.65),axiom,file(bvfunc23,c5_1_3__bvfunc23)]).

fof(dt_c2_1_3__bvfunc23,plain,(
    $true ),
    inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[dh_c2_1_3__bvfunc23,e4_1_3__bvfunc23]),
    [interesting(0.65),file(bvfunc23,c2_1_3__bvfunc23),[file(bvfunc23,c2_1_3__bvfunc23)]]).

fof(e5_1_3__bvfunc23,plain,
    ( r2_hidden(c2_1_3__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23))
    & r2_hidden(c3_1_3__bvfunc23,c8_1__bvfunc23)
    & c1_1_3__bvfunc23 = k3_xboole_0(c2_1_3__bvfunc23,c3_1_3__bvfunc23) ),
    inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[dh_c2_1_3__bvfunc23,dh_c3_1_3__bvfunc23,e4_1_3__bvfunc23]),
    [interesting(0.65),file(bvfunc23,e5_1_3__bvfunc23),[file(bvfunc23,e5_1_3__bvfunc23)]]).

fof(e6_1_3__bvfunc23,plain,(
    r2_hidden(c2_1_3__bvfunc23,k4_xboole_0(k3_setfam_1(k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),k1_tarski(k1_xboole_0))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c2_1_3__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,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_1_3__bvfunc23,d4_partit1]),
    [interesting(0.65),file(bvfunc23,e6_1_3__bvfunc23),[file(bvfunc23,e6_1_3__bvfunc23)]]).

fof(e7_1_3__bvfunc23,plain,
    ( r2_hidden(c2_1_3__bvfunc23,k3_setfam_1(k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23))
    & ~ r2_hidden(c2_1_3__bvfunc23,k1_tarski(k1_xboole_0)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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_1__bvfunc23,dt_c2_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,fc1_xboole_0,fc2_subset_1,t1_subset,t3_boole,t4_boole,t6_boole,t7_boole,e6_1_3__bvfunc23,d4_xboole_0]),
    [interesting(0.65),file(bvfunc23,e7_1_3__bvfunc23),[file(bvfunc23,e7_1_3__bvfunc23)]]).

fof(e8_1_3__bvfunc23,plain,(
    ? [A,B] : 
      ( r2_hidden(A,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23))
      & r2_hidden(B,c7_1__bvfunc23)
      & c2_1_3__bvfunc23 = k3_xboole_0(A,B) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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_1__bvfunc23,dt_c2_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t6_boole,t7_boole,e7_1_3__bvfunc23,d5_setfam_1]),
    [interesting(0.65),file(bvfunc23,e8_1_3__bvfunc23),[file(bvfunc23,e8_1_3__bvfunc23)]]).

fof(dt_c5_1_3__bvfunc23,plain,(
    $true ),
    inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[dh_c4_1_3__bvfunc23,dh_c5_1_3__bvfunc23,e8_1_3__bvfunc23]),
    [interesting(0.65),file(bvfunc23,c5_1_3__bvfunc23),[file(bvfunc23,c5_1_3__bvfunc23)]]).

fof(dh_c6_1_3__bvfunc23,definition,
    ( ? [A,B] : 
        ( r2_hidden(A,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23))
        & r2_hidden(B,c6_1__bvfunc23)
        & c4_1_3__bvfunc23 = k3_xboole_0(A,B) )
   => ? [C] : 
        ( r2_hidden(c6_1_3__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23))
        & r2_hidden(C,c6_1__bvfunc23)
        & c4_1_3__bvfunc23 = k3_xboole_0(c6_1_3__bvfunc23,C) ) ),
    introduced(definition,[new_symbol(c6_1_3__bvfunc23),file(bvfunc23,c6_1_3__bvfunc23)]),
    [interesting(0.65),axiom,file(bvfunc23,c6_1_3__bvfunc23)]).

fof(dh_c7_1_3__bvfunc23,definition,
    ( ? [A] : 
        ( r2_hidden(c6_1_3__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23))
        & r2_hidden(A,c6_1__bvfunc23)
        & c4_1_3__bvfunc23 = k3_xboole_0(c6_1_3__bvfunc23,A) )
   => ( r2_hidden(c6_1_3__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23))
      & r2_hidden(c7_1_3__bvfunc23,c6_1__bvfunc23)
      & c4_1_3__bvfunc23 = k3_xboole_0(c6_1_3__bvfunc23,c7_1_3__bvfunc23) ) ),
    introduced(definition,[new_symbol(c7_1_3__bvfunc23),file(bvfunc23,c7_1_3__bvfunc23)]),
    [interesting(0.65),axiom,file(bvfunc23,c7_1_3__bvfunc23)]).

fof(dt_c4_1_3__bvfunc23,plain,(
    $true ),
    inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[dh_c4_1_3__bvfunc23,e8_1_3__bvfunc23]),
    [interesting(0.65),file(bvfunc23,c4_1_3__bvfunc23),[file(bvfunc23,c4_1_3__bvfunc23)]]).

fof(e9_1_3__bvfunc23,plain,
    ( r2_hidden(c4_1_3__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23))
    & r2_hidden(c5_1_3__bvfunc23,c7_1__bvfunc23)
    & c2_1_3__bvfunc23 = k3_xboole_0(c4_1_3__bvfunc23,c5_1_3__bvfunc23) ),
    inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[dh_c4_1_3__bvfunc23,dh_c5_1_3__bvfunc23,e8_1_3__bvfunc23]),
    [interesting(0.65),file(bvfunc23,e9_1_3__bvfunc23),[file(bvfunc23,e9_1_3__bvfunc23)]]).

fof(e10_1_3__bvfunc23,plain,(
    r2_hidden(c4_1_3__bvfunc23,k4_xboole_0(k3_setfam_1(k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),k1_tarski(k1_xboole_0))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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_1__bvfunc23,dt_c2_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c4_1_3__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,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,e9_1_3__bvfunc23,d4_partit1]),
    [interesting(0.65),file(bvfunc23,e10_1_3__bvfunc23),[file(bvfunc23,e10_1_3__bvfunc23)]]).

fof(e11_1_3__bvfunc23,plain,
    ( r2_hidden(c4_1_3__bvfunc23,k3_setfam_1(k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23))
    & ~ r2_hidden(c4_1_3__bvfunc23,k1_tarski(k1_xboole_0)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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_1__bvfunc23,dt_c4_1__bvfunc23,dt_c4_1_3__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,fc1_xboole_0,fc2_subset_1,t1_subset,t3_boole,t4_boole,t6_boole,t7_boole,e10_1_3__bvfunc23,d4_xboole_0]),
    [interesting(0.65),file(bvfunc23,e11_1_3__bvfunc23),[file(bvfunc23,e11_1_3__bvfunc23)]]).

fof(e12_1_3__bvfunc23,plain,(
    ? [A,B] : 
      ( r2_hidden(A,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23))
      & r2_hidden(B,c6_1__bvfunc23)
      & c4_1_3__bvfunc23 = k3_xboole_0(A,B) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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_1__bvfunc23,dt_c4_1__bvfunc23,dt_c4_1_3__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t6_boole,t7_boole,e11_1_3__bvfunc23,d5_setfam_1]),
    [interesting(0.65),file(bvfunc23,e12_1_3__bvfunc23),[file(bvfunc23,e12_1_3__bvfunc23)]]).

fof(dt_c7_1_3__bvfunc23,plain,(
    $true ),
    inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[dh_c6_1_3__bvfunc23,dh_c7_1_3__bvfunc23,e12_1_3__bvfunc23]),
    [interesting(0.65),file(bvfunc23,c7_1_3__bvfunc23),[file(bvfunc23,c7_1_3__bvfunc23)]]).

fof(dh_c8_1_3__bvfunc23,definition,
    ( ? [A,B] : 
        ( r2_hidden(A,c4_1__bvfunc23)
        & r2_hidden(B,c5_1__bvfunc23)
        & c6_1_3__bvfunc23 = k3_xboole_0(A,B) )
   => ? [C] : 
        ( r2_hidden(c8_1_3__bvfunc23,c4_1__bvfunc23)
        & r2_hidden(C,c5_1__bvfunc23)
        & c6_1_3__bvfunc23 = k3_xboole_0(c8_1_3__bvfunc23,C) ) ),
    introduced(definition,[new_symbol(c8_1_3__bvfunc23),file(bvfunc23,c8_1_3__bvfunc23)]),
    [interesting(0.65),axiom,file(bvfunc23,c8_1_3__bvfunc23)]).

fof(dt_c6_1_3__bvfunc23,plain,(
    $true ),
    inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[dh_c6_1_3__bvfunc23,e12_1_3__bvfunc23]),
    [interesting(0.65),file(bvfunc23,c6_1_3__bvfunc23),[file(bvfunc23,c6_1_3__bvfunc23)]]).

fof(e13_1_3__bvfunc23,plain,
    ( r2_hidden(c6_1_3__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23))
    & r2_hidden(c7_1_3__bvfunc23,c6_1__bvfunc23)
    & c4_1_3__bvfunc23 = k3_xboole_0(c6_1_3__bvfunc23,c7_1_3__bvfunc23) ),
    inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[dh_c6_1_3__bvfunc23,dh_c7_1_3__bvfunc23,e12_1_3__bvfunc23]),
    [interesting(0.65),file(bvfunc23,e13_1_3__bvfunc23),[file(bvfunc23,e13_1_3__bvfunc23)]]).

fof(e14_1_3__bvfunc23,plain,(
    r2_hidden(c6_1_3__bvfunc23,k4_xboole_0(k3_setfam_1(c4_1__bvfunc23,c5_1__bvfunc23),k1_tarski(k1_xboole_0))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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_1__bvfunc23,dt_c4_1__bvfunc23,dt_c4_1_3__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c6_1_3__bvfunc23,dt_c7_1_3__bvfunc23,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,e13_1_3__bvfunc23,d4_partit1]),
    [interesting(0.65),file(bvfunc23,e14_1_3__bvfunc23),[file(bvfunc23,e14_1_3__bvfunc23)]]).

fof(e15_1_3__bvfunc23,plain,
    ( r2_hidden(c6_1_3__bvfunc23,k3_setfam_1(c4_1__bvfunc23,c5_1__bvfunc23))
    & ~ r2_hidden(c6_1_3__bvfunc23,k1_tarski(k1_xboole_0)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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_1__bvfunc23,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_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1_3__bvfunc23,fc1_xboole_0,fc2_subset_1,t1_subset,t3_boole,t4_boole,t6_boole,t7_boole,e14_1_3__bvfunc23,d4_xboole_0]),
    [interesting(0.65),file(bvfunc23,e15_1_3__bvfunc23),[file(bvfunc23,e15_1_3__bvfunc23)]]).

fof(e16_1_3__bvfunc23,plain,(
    ? [A,B] : 
      ( r2_hidden(A,c4_1__bvfunc23)
      & r2_hidden(B,c5_1__bvfunc23)
      & c6_1_3__bvfunc23 = k3_xboole_0(A,B) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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_1__bvfunc23,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_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1_3__bvfunc23,fc1_xboole_0,fc2_subset_1,t1_subset,t2_boole,t6_boole,t7_boole,e15_1_3__bvfunc23,d5_setfam_1]),
    [interesting(0.65),file(bvfunc23,e16_1_3__bvfunc23),[file(bvfunc23,e16_1_3__bvfunc23)]]).

fof(dt_c8_1_3__bvfunc23,plain,(
    $true ),
    inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[dh_c8_1_3__bvfunc23,e16_1_3__bvfunc23]),
    [interesting(0.65),file(bvfunc23,c8_1_3__bvfunc23),[file(bvfunc23,c8_1_3__bvfunc23)]]).

fof(dh_c9_1_3__bvfunc23,definition,
    ( ? [A] : 
        ( r2_hidden(c8_1_3__bvfunc23,c4_1__bvfunc23)
        & r2_hidden(A,c5_1__bvfunc23)
        & c6_1_3__bvfunc23 = k3_xboole_0(c8_1_3__bvfunc23,A) )
   => ( r2_hidden(c8_1_3__bvfunc23,c4_1__bvfunc23)
      & r2_hidden(c9_1_3__bvfunc23,c5_1__bvfunc23)
      & c6_1_3__bvfunc23 = k3_xboole_0(c8_1_3__bvfunc23,c9_1_3__bvfunc23) ) ),
    introduced(definition,[new_symbol(c9_1_3__bvfunc23),file(bvfunc23,c9_1_3__bvfunc23)]),
    [interesting(0.65),axiom,file(bvfunc23,c9_1_3__bvfunc23)]).

fof(dt_c9_1_3__bvfunc23,plain,(
    $true ),
    inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[dh_c8_1_3__bvfunc23,dh_c9_1_3__bvfunc23,e16_1_3__bvfunc23]),
    [interesting(0.65),file(bvfunc23,c9_1_3__bvfunc23),[file(bvfunc23,c9_1_3__bvfunc23)]]).

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_c11_1_3__bvfunc23,definition,(
    c11_1_3__bvfunc23 = k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))) ),
    introduced(definition,[new_symbol(c11_1_3__bvfunc23),file(bvfunc23,c11_1_3__bvfunc23)]),
    [interesting(0.65),axiom,file(bvfunc23,c11_1_3__bvfunc23)]).

fof(dt_c1_1_3_5__bvfunc23,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc23,c1_1_3_5__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,c1_1_3_5__bvfunc23)]).

fof(dh_c1_1_3_5__bvfunc23,definition,
    ( ~ ( r2_hidden(c1_1_3_5__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))))
        & ~ r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) )
   => ! [A] : 
        ~ ( r2_hidden(A,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))))
          & ~ r2_hidden(A,k1_zfmisc_1(c1_1__bvfunc23)) ) ),
    introduced(definition,[new_symbol(c1_1_3_5__bvfunc23),file(bvfunc23,c1_1_3_5__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,c1_1_3_5__bvfunc23)]).

fof(e1_1_3_5__bvfunc23,assumption,(
    r2_hidden(c1_1_3_5__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    introduced(assumption,[file(bvfunc23,e1_1_3_5__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,e1_1_3_5__bvfunc23)]).

fof(e1_1_3_5_1_1_1__bvfunc23,assumption,(
    c1_1_3_5__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_3_5_1_1_1__bvfunc23)]),
    [interesting(0.05),axiom,file(bvfunc23,e1_1_3_5_1_1_1__bvfunc23)]).

fof(t29_bvfunc14,theorem,(
    ! [A,B,C,D,E,F] : 
      ( ( v1_relat_1(F)
        & v1_funct_1(F) )
     => ! [G,H,I,J,K] : 
          ( F = k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(B,H),k3_cqc_lang(C,I)),k3_cqc_lang(D,J)),k3_cqc_lang(E,K)),k3_cqc_lang(A,G))
         => ( A = B
            | A = C
            | A = D
            | A = E
            | B = C
            | B = D
            | B = E
            | C = D
            | C = E
            | D = E
            | ( k1_funct_1(F,A) = G
              & k1_funct_1(F,B) = H
              & k1_funct_1(F,C) = I
              & k1_funct_1(F,D) = J
              & k1_funct_1(F,E) = K ) ) ) ) ),
    file(bvfunc14,t29_bvfunc14),
    [interesting(0.9),axiom,file(bvfunc14,t29_bvfunc14)]).

fof(e19_1_3__bvfunc23,plain,(
    k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23) = c7_1_3__bvfunc23 ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23])],[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_1__bvfunc23,cc2_eqrel_1,fc1_subset_1,t3_subset,idempotence_k1_funct_4,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k4_enumset1,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,e1_1__bvfunc23,t29_bvfunc14]),
    [interesting(0.65),file(bvfunc23,e19_1_3__bvfunc23),[file(bvfunc23,e19_1_3__bvfunc23)]]).

fof(e2_1_3_5_1_1_1__bvfunc23,plain,(
    r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_5__bvfunc23,e1_1_3_5_1_1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23])],[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_1__bvfunc23,dt_c1_1_3_5__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c4_1_3__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c6_1_3__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,fc1_subset_1,t1_subset,t7_boole,e1_1_3_5_1_1_1__bvfunc23,e13_1_3__bvfunc23,e19_1_3__bvfunc23]),
    [interesting(0.05),file(bvfunc23,e2_1_3_5_1_1_1__bvfunc23),[file(bvfunc23,e2_1_3_5_1_1_1__bvfunc23)]]).

fof(i2_1_3_5_1_1_1__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_5_1_1_1__bvfunc23)]),
    [interesting(0.05),trivial,file(bvfunc23,i2_1_3_5_1_1_1__bvfunc23)]).

fof(i1_1_3_5_1_1_1__bvfunc23,plain,(
    r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_5__bvfunc23,e1_1_3_5_1_1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23])],[e2_1_3_5_1_1_1__bvfunc23,i2_1_3_5_1_1_1__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_3_5_1_1_1__bvfunc23),[file(bvfunc23,i1_1_3_5_1_1_1__bvfunc23)]]).

fof(i1_1_3_5_1_1__bvfunc23,plain,
    ( c1_1_3_5__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23)
   => ( c1_1_3_5__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23)
      & r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_5__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23]),discharge_asm(discharge,[e1_1_3_5_1_1_1__bvfunc23])],[e1_1_3_5_1_1_1__bvfunc23,i1_1_3_5_1_1_1__bvfunc23]),
    [interesting(0.2),file(bvfunc23,i1_1_3_5_1_1__bvfunc23),[file(bvfunc23,i1_1_3_5_1_1__bvfunc23)]]).

fof(e1_1_3_5_1_1_2__bvfunc23,assumption,(
    c1_1_3_5__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_3_5_1_1_2__bvfunc23)]),
    [interesting(0.05),axiom,file(bvfunc23,e1_1_3_5_1_1_2__bvfunc23)]).

fof(e17_1_3__bvfunc23,plain,
    ( r2_hidden(c8_1_3__bvfunc23,c4_1__bvfunc23)
    & r2_hidden(c9_1_3__bvfunc23,c5_1__bvfunc23)
    & c6_1_3__bvfunc23 = k3_xboole_0(c8_1_3__bvfunc23,c9_1_3__bvfunc23) ),
    inference(consider,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[dh_c8_1_3__bvfunc23,dh_c9_1_3__bvfunc23,e16_1_3__bvfunc23]),
    [interesting(0.65),file(bvfunc23,e17_1_3__bvfunc23),[file(bvfunc23,e17_1_3__bvfunc23)]]).

fof(e20_1_3__bvfunc23,plain,(
    k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23) = c8_1_3__bvfunc23 ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23])],[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_1__bvfunc23,cc2_eqrel_1,fc1_subset_1,t3_subset,idempotence_k1_funct_4,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k4_enumset1,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,e1_1__bvfunc23,t29_bvfunc14]),
    [interesting(0.65),file(bvfunc23,e20_1_3__bvfunc23),[file(bvfunc23,e20_1_3__bvfunc23)]]).

fof(e2_1_3_5_1_1_2__bvfunc23,plain,(
    r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_5__bvfunc23,e1_1_3_5_1_1_2__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23])],[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_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k1_zfmisc_1,dt_k3_cqc_lang,dt_k3_xboole_0,dt_c1_1__bvfunc23,dt_c1_1_3_5__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c6_1_3__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,fc1_subset_1,t1_subset,t7_boole,e1_1_3_5_1_1_2__bvfunc23,e17_1_3__bvfunc23,e20_1_3__bvfunc23]),
    [interesting(0.05),file(bvfunc23,e2_1_3_5_1_1_2__bvfunc23),[file(bvfunc23,e2_1_3_5_1_1_2__bvfunc23)]]).

fof(i2_1_3_5_1_1_2__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_5_1_1_2__bvfunc23)]),
    [interesting(0.05),trivial,file(bvfunc23,i2_1_3_5_1_1_2__bvfunc23)]).

fof(i1_1_3_5_1_1_2__bvfunc23,plain,(
    r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_5__bvfunc23,e1_1_3_5_1_1_2__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23])],[e2_1_3_5_1_1_2__bvfunc23,i2_1_3_5_1_1_2__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_3_5_1_1_2__bvfunc23),[file(bvfunc23,i1_1_3_5_1_1_2__bvfunc23)]]).

fof(i2_1_3_5_1_1__bvfunc23,plain,
    ( c1_1_3_5__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23)
   => ( c1_1_3_5__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23)
      & r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_5__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23]),discharge_asm(discharge,[e1_1_3_5_1_1_2__bvfunc23])],[e1_1_3_5_1_1_2__bvfunc23,i1_1_3_5_1_1_2__bvfunc23]),
    [interesting(0.2),file(bvfunc23,i2_1_3_5_1_1__bvfunc23),[file(bvfunc23,i2_1_3_5_1_1__bvfunc23)]]).

fof(e1_1_3_5_1_1_3__bvfunc23,assumption,(
    c1_1_3_5__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_3_5_1_1_3__bvfunc23)]),
    [interesting(0.05),axiom,file(bvfunc23,e1_1_3_5_1_1_3__bvfunc23)]).

fof(e21_1_3__bvfunc23,plain,(
    k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23) = c9_1_3__bvfunc23 ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23])],[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_1__bvfunc23,cc2_eqrel_1,fc1_subset_1,t3_subset,idempotence_k1_funct_4,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k4_enumset1,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,e1_1__bvfunc23,t29_bvfunc14]),
    [interesting(0.65),file(bvfunc23,e21_1_3__bvfunc23),[file(bvfunc23,e21_1_3__bvfunc23)]]).

fof(e2_1_3_5_1_1_3__bvfunc23,plain,(
    r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_5__bvfunc23,e1_1_3_5_1_1_3__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23])],[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_k3_xboole_0,idempotence_k3_xboole_0,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k1_zfmisc_1,dt_k3_cqc_lang,dt_k3_xboole_0,dt_c1_1__bvfunc23,dt_c1_1_3_5__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c6_1_3__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,fc1_subset_1,t1_subset,t7_boole,e1_1_3_5_1_1_3__bvfunc23,e17_1_3__bvfunc23,e21_1_3__bvfunc23]),
    [interesting(0.05),file(bvfunc23,e2_1_3_5_1_1_3__bvfunc23),[file(bvfunc23,e2_1_3_5_1_1_3__bvfunc23)]]).

fof(i2_1_3_5_1_1_3__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_5_1_1_3__bvfunc23)]),
    [interesting(0.05),trivial,file(bvfunc23,i2_1_3_5_1_1_3__bvfunc23)]).

fof(i1_1_3_5_1_1_3__bvfunc23,plain,(
    r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_5__bvfunc23,e1_1_3_5_1_1_3__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23])],[e2_1_3_5_1_1_3__bvfunc23,i2_1_3_5_1_1_3__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_3_5_1_1_3__bvfunc23),[file(bvfunc23,i1_1_3_5_1_1_3__bvfunc23)]]).

fof(i3_1_3_5_1_1__bvfunc23,plain,
    ( c1_1_3_5__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23)
   => ( c1_1_3_5__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23)
      & r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_5__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23]),discharge_asm(discharge,[e1_1_3_5_1_1_3__bvfunc23])],[e1_1_3_5_1_1_3__bvfunc23,i1_1_3_5_1_1_3__bvfunc23]),
    [interesting(0.2),file(bvfunc23,i3_1_3_5_1_1__bvfunc23),[file(bvfunc23,i3_1_3_5_1_1__bvfunc23)]]).

fof(e1_1_3_5_1_1_4__bvfunc23,assumption,(
    c1_1_3_5__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_3_5_1_1_4__bvfunc23)]),
    [interesting(0.05),axiom,file(bvfunc23,e1_1_3_5_1_1_4__bvfunc23)]).

fof(e22_1_3__bvfunc23,plain,(
    k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23) = c5_1_3__bvfunc23 ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23])],[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_1__bvfunc23,cc2_eqrel_1,fc1_subset_1,t3_subset,idempotence_k1_funct_4,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k4_enumset1,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,e1_1__bvfunc23,t29_bvfunc14]),
    [interesting(0.65),file(bvfunc23,e22_1_3__bvfunc23),[file(bvfunc23,e22_1_3__bvfunc23)]]).

fof(e2_1_3_5_1_1_4__bvfunc23,plain,(
    r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_5__bvfunc23,e1_1_3_5_1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23])],[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_1__bvfunc23,dt_c1_1_3_5__bvfunc23,dt_c2_1_3__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c4_1_3__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,fc1_subset_1,t1_subset,t7_boole,e1_1_3_5_1_1_4__bvfunc23,e9_1_3__bvfunc23,e22_1_3__bvfunc23]),
    [interesting(0.05),file(bvfunc23,e2_1_3_5_1_1_4__bvfunc23),[file(bvfunc23,e2_1_3_5_1_1_4__bvfunc23)]]).

fof(i2_1_3_5_1_1_4__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_5_1_1_4__bvfunc23)]),
    [interesting(0.05),trivial,file(bvfunc23,i2_1_3_5_1_1_4__bvfunc23)]).

fof(i1_1_3_5_1_1_4__bvfunc23,plain,(
    r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_5__bvfunc23,e1_1_3_5_1_1_4__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23])],[e2_1_3_5_1_1_4__bvfunc23,i2_1_3_5_1_1_4__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_3_5_1_1_4__bvfunc23),[file(bvfunc23,i1_1_3_5_1_1_4__bvfunc23)]]).

fof(i4_1_3_5_1_1__bvfunc23,plain,
    ( c1_1_3_5__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23)
   => ( c1_1_3_5__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23)
      & r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_5__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23]),discharge_asm(discharge,[e1_1_3_5_1_1_4__bvfunc23])],[e1_1_3_5_1_1_4__bvfunc23,i1_1_3_5_1_1_4__bvfunc23]),
    [interesting(0.2),file(bvfunc23,i4_1_3_5_1_1__bvfunc23),[file(bvfunc23,i4_1_3_5_1_1__bvfunc23)]]).

fof(e1_1_3_5_1_1_5__bvfunc23,assumption,(
    c1_1_3_5__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_3_5_1_1_5__bvfunc23)]),
    [interesting(0.05),axiom,file(bvfunc23,e1_1_3_5_1_1_5__bvfunc23)]).

fof(e23_1_3__bvfunc23,plain,(
    k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23) = c3_1_3__bvfunc23 ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23])],[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_1__bvfunc23,cc2_eqrel_1,fc1_subset_1,t3_subset,idempotence_k1_funct_4,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k4_enumset1,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,e1_1__bvfunc23,t29_bvfunc14]),
    [interesting(0.65),file(bvfunc23,e23_1_3__bvfunc23),[file(bvfunc23,e23_1_3__bvfunc23)]]).

fof(e2_1_3_5_1_1_5__bvfunc23,plain,(
    r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_5__bvfunc23,e1_1_3_5_1_1_5__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23])],[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_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c1_1_3_5__bvfunc23,dt_c2_1_3__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,fc1_subset_1,t1_subset,t7_boole,e1_1_3_5_1_1_5__bvfunc23,e5_1_3__bvfunc23,e23_1_3__bvfunc23]),
    [interesting(0.05),file(bvfunc23,e2_1_3_5_1_1_5__bvfunc23),[file(bvfunc23,e2_1_3_5_1_1_5__bvfunc23)]]).

fof(i2_1_3_5_1_1_5__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_5_1_1_5__bvfunc23)]),
    [interesting(0.05),trivial,file(bvfunc23,i2_1_3_5_1_1_5__bvfunc23)]).

fof(i1_1_3_5_1_1_5__bvfunc23,plain,(
    r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_5__bvfunc23,e1_1_3_5_1_1_5__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23])],[e2_1_3_5_1_1_5__bvfunc23,i2_1_3_5_1_1_5__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_3_5_1_1_5__bvfunc23),[file(bvfunc23,i1_1_3_5_1_1_5__bvfunc23)]]).

fof(i5_1_3_5_1_1__bvfunc23,plain,
    ( c1_1_3_5__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23)
   => ( c1_1_3_5__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23)
      & r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_5__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23]),discharge_asm(discharge,[e1_1_3_5_1_1_5__bvfunc23])],[e1_1_3_5_1_1_5__bvfunc23,i1_1_3_5_1_1_5__bvfunc23]),
    [interesting(0.2),file(bvfunc23,i5_1_3_5_1_1__bvfunc23),[file(bvfunc23,i5_1_3_5_1_1__bvfunc23)]]).

fof(dt_c1_1_3_3__bvfunc23,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc23,c1_1_3_3__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,c1_1_3_3__bvfunc23)]).

fof(dh_c1_1_3_3__bvfunc23,definition,
    ( ~ ( r2_hidden(c1_1_3_3__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))))
        & ~ r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) )
   => ! [A] : 
        ~ ( r2_hidden(A,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))))
          & ~ r2_hidden(A,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ) ),
    introduced(definition,[new_symbol(c1_1_3_3__bvfunc23),file(bvfunc23,c1_1_3_3__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,c1_1_3_3__bvfunc23)]).

fof(e1_1_3_3__bvfunc23,assumption,(
    r2_hidden(c1_1_3_3__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    introduced(assumption,[file(bvfunc23,e1_1_3_3__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,e1_1_3_3__bvfunc23)]).

fof(dh_c2_1_3_3__bvfunc23,definition,
    ( ? [A] : 
        ( r2_hidden(A,k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))))
        & c1_1_3_3__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),A) )
   => ( r2_hidden(c2_1_3_3__bvfunc23,k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))))
      & c1_1_3_3__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c2_1_3_3__bvfunc23) ) ),
    introduced(definition,[new_symbol(c2_1_3_3__bvfunc23),file(bvfunc23,c2_1_3_3__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,c2_1_3_3__bvfunc23)]).

fof(e2_1_3_3__bvfunc23,plain,(
    ? [A] : 
      ( r2_hidden(A,k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))))
      & c1_1_3_3__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),A) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_3__bvfunc23])],[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_1__bvfunc23,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_k1_relat_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_c1_1_3_3__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e1_1_3_3__bvfunc23,d5_funct_1]),
    [interesting(0.5),file(bvfunc23,e2_1_3_3__bvfunc23),[file(bvfunc23,e2_1_3_3__bvfunc23)]]).

fof(dt_c2_1_3_3__bvfunc23,plain,(
    $true ),
    inference(consider,[status(thm),assumptions([dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_3__bvfunc23])],[dh_c2_1_3_3__bvfunc23,e2_1_3_3__bvfunc23]),
    [interesting(0.5),file(bvfunc23,c2_1_3_3__bvfunc23),[file(bvfunc23,c2_1_3_3__bvfunc23)]]).

fof(e1_1_3_3_1_1_1__bvfunc23,assumption,(
    c2_1_3_3__bvfunc23 = c6_1__bvfunc23 ),
    introduced(assumption,[file(bvfunc23,e1_1_3_3_1_1_1__bvfunc23)]),
    [interesting(0.05),axiom,file(bvfunc23,e1_1_3_3_1_1_1__bvfunc23)]).

fof(e3_1_3_3__bvfunc23,plain,
    ( r2_hidden(c2_1_3_3__bvfunc23,k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))))
    & c1_1_3_3__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c2_1_3_3__bvfunc23) ),
    inference(consider,[status(thm),assumptions([dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_3__bvfunc23])],[dh_c2_1_3_3__bvfunc23,e2_1_3_3__bvfunc23]),
    [interesting(0.5),file(bvfunc23,e3_1_3_3__bvfunc23),[file(bvfunc23,e3_1_3_3__bvfunc23)]]).

fof(e2_1_3_3_1_1_1__bvfunc23,plain,(
    r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([e1_1_3_3_1_1_1__bvfunc23,dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_3__bvfunc23])],[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_1__bvfunc23,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_k1_relat_1,dt_k3_cqc_lang,dt_k3_enumset1,dt_c1_1_3_3__bvfunc23,dt_c2_1_3_3__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e1_1_3_3_1_1_1__bvfunc23,e3_1_3_3__bvfunc23,d3_enumset1]),
    [interesting(0.05),file(bvfunc23,e2_1_3_3_1_1_1__bvfunc23),[file(bvfunc23,e2_1_3_3_1_1_1__bvfunc23)]]).

fof(i2_1_3_3_1_1_1__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_3_1_1_1__bvfunc23)]),
    [interesting(0.05),trivial,file(bvfunc23,i2_1_3_3_1_1_1__bvfunc23)]).

fof(i1_1_3_3_1_1_1__bvfunc23,plain,(
    r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ),
    inference(conclusion,[status(thm),assumptions([e1_1_3_3_1_1_1__bvfunc23,dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_3__bvfunc23])],[e2_1_3_3_1_1_1__bvfunc23,i2_1_3_3_1_1_1__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_3_3_1_1_1__bvfunc23),[file(bvfunc23,i1_1_3_3_1_1_1__bvfunc23)]]).

fof(i1_1_3_3_1_1__bvfunc23,plain,
    ( c2_1_3_3__bvfunc23 = c6_1__bvfunc23
   => ( c2_1_3_3__bvfunc23 = c6_1__bvfunc23
      & r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_3__bvfunc23]),discharge_asm(discharge,[e1_1_3_3_1_1_1__bvfunc23])],[e1_1_3_3_1_1_1__bvfunc23,i1_1_3_3_1_1_1__bvfunc23]),
    [interesting(0.2),file(bvfunc23,i1_1_3_3_1_1__bvfunc23),[file(bvfunc23,i1_1_3_3_1_1__bvfunc23)]]).

fof(e1_1_3_3_1_1_2__bvfunc23,assumption,(
    c2_1_3_3__bvfunc23 = c4_1__bvfunc23 ),
    introduced(assumption,[file(bvfunc23,e1_1_3_3_1_1_2__bvfunc23)]),
    [interesting(0.05),axiom,file(bvfunc23,e1_1_3_3_1_1_2__bvfunc23)]).

fof(e2_1_3_3_1_1_2__bvfunc23,plain,(
    r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([e1_1_3_3_1_1_2__bvfunc23,dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_3__bvfunc23])],[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_1__bvfunc23,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_k1_relat_1,dt_k3_cqc_lang,dt_k3_enumset1,dt_c1_1_3_3__bvfunc23,dt_c2_1_3_3__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e1_1_3_3_1_1_2__bvfunc23,e3_1_3_3__bvfunc23,d3_enumset1]),
    [interesting(0.05),file(bvfunc23,e2_1_3_3_1_1_2__bvfunc23),[file(bvfunc23,e2_1_3_3_1_1_2__bvfunc23)]]).

fof(i2_1_3_3_1_1_2__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_3_1_1_2__bvfunc23)]),
    [interesting(0.05),trivial,file(bvfunc23,i2_1_3_3_1_1_2__bvfunc23)]).

fof(i1_1_3_3_1_1_2__bvfunc23,plain,(
    r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ),
    inference(conclusion,[status(thm),assumptions([e1_1_3_3_1_1_2__bvfunc23,dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_3__bvfunc23])],[e2_1_3_3_1_1_2__bvfunc23,i2_1_3_3_1_1_2__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_3_3_1_1_2__bvfunc23),[file(bvfunc23,i1_1_3_3_1_1_2__bvfunc23)]]).

fof(i2_1_3_3_1_1__bvfunc23,plain,
    ( c2_1_3_3__bvfunc23 = c4_1__bvfunc23
   => ( c2_1_3_3__bvfunc23 = c4_1__bvfunc23
      & r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_3__bvfunc23]),discharge_asm(discharge,[e1_1_3_3_1_1_2__bvfunc23])],[e1_1_3_3_1_1_2__bvfunc23,i1_1_3_3_1_1_2__bvfunc23]),
    [interesting(0.2),file(bvfunc23,i2_1_3_3_1_1__bvfunc23),[file(bvfunc23,i2_1_3_3_1_1__bvfunc23)]]).

fof(e1_1_3_3_1_1_3__bvfunc23,assumption,(
    c2_1_3_3__bvfunc23 = c5_1__bvfunc23 ),
    introduced(assumption,[file(bvfunc23,e1_1_3_3_1_1_3__bvfunc23)]),
    [interesting(0.05),axiom,file(bvfunc23,e1_1_3_3_1_1_3__bvfunc23)]).

fof(e2_1_3_3_1_1_3__bvfunc23,plain,(
    r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([e1_1_3_3_1_1_3__bvfunc23,dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_3__bvfunc23])],[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_1__bvfunc23,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_k1_relat_1,dt_k3_cqc_lang,dt_k3_enumset1,dt_c1_1_3_3__bvfunc23,dt_c2_1_3_3__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e1_1_3_3_1_1_3__bvfunc23,e3_1_3_3__bvfunc23,d3_enumset1]),
    [interesting(0.05),file(bvfunc23,e2_1_3_3_1_1_3__bvfunc23),[file(bvfunc23,e2_1_3_3_1_1_3__bvfunc23)]]).

fof(i2_1_3_3_1_1_3__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_3_1_1_3__bvfunc23)]),
    [interesting(0.05),trivial,file(bvfunc23,i2_1_3_3_1_1_3__bvfunc23)]).

fof(i1_1_3_3_1_1_3__bvfunc23,plain,(
    r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ),
    inference(conclusion,[status(thm),assumptions([e1_1_3_3_1_1_3__bvfunc23,dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_3__bvfunc23])],[e2_1_3_3_1_1_3__bvfunc23,i2_1_3_3_1_1_3__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_3_3_1_1_3__bvfunc23),[file(bvfunc23,i1_1_3_3_1_1_3__bvfunc23)]]).

fof(i3_1_3_3_1_1__bvfunc23,plain,
    ( c2_1_3_3__bvfunc23 = c5_1__bvfunc23
   => ( c2_1_3_3__bvfunc23 = c5_1__bvfunc23
      & r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_3__bvfunc23]),discharge_asm(discharge,[e1_1_3_3_1_1_3__bvfunc23])],[e1_1_3_3_1_1_3__bvfunc23,i1_1_3_3_1_1_3__bvfunc23]),
    [interesting(0.2),file(bvfunc23,i3_1_3_3_1_1__bvfunc23),[file(bvfunc23,i3_1_3_3_1_1__bvfunc23)]]).

fof(e1_1_3_3_1_1_4__bvfunc23,assumption,(
    c2_1_3_3__bvfunc23 = c7_1__bvfunc23 ),
    introduced(assumption,[file(bvfunc23,e1_1_3_3_1_1_4__bvfunc23)]),
    [interesting(0.05),axiom,file(bvfunc23,e1_1_3_3_1_1_4__bvfunc23)]).

fof(e2_1_3_3_1_1_4__bvfunc23,plain,(
    r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([e1_1_3_3_1_1_4__bvfunc23,dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_3__bvfunc23])],[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_1__bvfunc23,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_k1_relat_1,dt_k3_cqc_lang,dt_k3_enumset1,dt_c1_1_3_3__bvfunc23,dt_c2_1_3_3__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e1_1_3_3_1_1_4__bvfunc23,e3_1_3_3__bvfunc23,d3_enumset1]),
    [interesting(0.05),file(bvfunc23,e2_1_3_3_1_1_4__bvfunc23),[file(bvfunc23,e2_1_3_3_1_1_4__bvfunc23)]]).

fof(i2_1_3_3_1_1_4__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_3_1_1_4__bvfunc23)]),
    [interesting(0.05),trivial,file(bvfunc23,i2_1_3_3_1_1_4__bvfunc23)]).

fof(i1_1_3_3_1_1_4__bvfunc23,plain,(
    r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ),
    inference(conclusion,[status(thm),assumptions([e1_1_3_3_1_1_4__bvfunc23,dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_3__bvfunc23])],[e2_1_3_3_1_1_4__bvfunc23,i2_1_3_3_1_1_4__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_3_3_1_1_4__bvfunc23),[file(bvfunc23,i1_1_3_3_1_1_4__bvfunc23)]]).

fof(i4_1_3_3_1_1__bvfunc23,plain,
    ( c2_1_3_3__bvfunc23 = c7_1__bvfunc23
   => ( c2_1_3_3__bvfunc23 = c7_1__bvfunc23
      & r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_3__bvfunc23]),discharge_asm(discharge,[e1_1_3_3_1_1_4__bvfunc23])],[e1_1_3_3_1_1_4__bvfunc23,i1_1_3_3_1_1_4__bvfunc23]),
    [interesting(0.2),file(bvfunc23,i4_1_3_3_1_1__bvfunc23),[file(bvfunc23,i4_1_3_3_1_1__bvfunc23)]]).

fof(e1_1_3_3_1_1_5__bvfunc23,assumption,(
    c2_1_3_3__bvfunc23 = c8_1__bvfunc23 ),
    introduced(assumption,[file(bvfunc23,e1_1_3_3_1_1_5__bvfunc23)]),
    [interesting(0.05),axiom,file(bvfunc23,e1_1_3_3_1_1_5__bvfunc23)]).

fof(e2_1_3_3_1_1_5__bvfunc23,plain,(
    r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([e1_1_3_3_1_1_5__bvfunc23,dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_3__bvfunc23])],[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_1__bvfunc23,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_k1_relat_1,dt_k3_cqc_lang,dt_k3_enumset1,dt_c1_1_3_3__bvfunc23,dt_c2_1_3_3__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e1_1_3_3_1_1_5__bvfunc23,e3_1_3_3__bvfunc23,d3_enumset1]),
    [interesting(0.05),file(bvfunc23,e2_1_3_3_1_1_5__bvfunc23),[file(bvfunc23,e2_1_3_3_1_1_5__bvfunc23)]]).

fof(i2_1_3_3_1_1_5__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_3_1_1_5__bvfunc23)]),
    [interesting(0.05),trivial,file(bvfunc23,i2_1_3_3_1_1_5__bvfunc23)]).

fof(i1_1_3_3_1_1_5__bvfunc23,plain,(
    r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ),
    inference(conclusion,[status(thm),assumptions([e1_1_3_3_1_1_5__bvfunc23,dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_3__bvfunc23])],[e2_1_3_3_1_1_5__bvfunc23,i2_1_3_3_1_1_5__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_3_3_1_1_5__bvfunc23),[file(bvfunc23,i1_1_3_3_1_1_5__bvfunc23)]]).

fof(i5_1_3_3_1_1__bvfunc23,plain,
    ( c2_1_3_3__bvfunc23 = c8_1__bvfunc23
   => ( c2_1_3_3__bvfunc23 = c8_1__bvfunc23
      & r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_3__bvfunc23]),discharge_asm(discharge,[e1_1_3_3_1_1_5__bvfunc23])],[e1_1_3_3_1_1_5__bvfunc23,i1_1_3_3_1_1_5__bvfunc23]),
    [interesting(0.2),file(bvfunc23,i5_1_3_3_1_1__bvfunc23),[file(bvfunc23,i5_1_3_3_1_1__bvfunc23)]]).

fof(t30_bvfunc14,theorem,(
    ! [A,B,C,D,E,F] : 
      ( ( v1_relat_1(F)
        & v1_funct_1(F) )
     => ! [G,H,I,J,K] : 
          ( F = k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(B,H),k3_cqc_lang(C,I)),k3_cqc_lang(D,J)),k3_cqc_lang(E,K)),k3_cqc_lang(A,G))
         => k1_relat_1(F) = k3_enumset1(A,B,C,D,E) ) ) ),
    file(bvfunc14,t30_bvfunc14),
    [interesting(0.9),axiom,file(bvfunc14,t30_bvfunc14)]).

fof(e1_1_3_1__bvfunc23,plain,(
    k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))) = k3_enumset1(c8_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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_1__bvfunc23,cc2_eqrel_1,idempotence_k1_funct_4,dt_k1_funct_4,dt_k1_relat_1,dt_k3_cqc_lang,dt_k3_enumset1,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t30_bvfunc14]),
    [interesting(0.5),file(bvfunc23,e1_1_3_1__bvfunc23),[file(bvfunc23,e1_1_3_1__bvfunc23)]]).

fof(e2_1_3_1__bvfunc23,plain,(
    k3_enumset1(c8_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23) = k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c8_1__bvfunc23),k2_enumset1(c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__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_xboole_0,idempotence_k2_xboole_0,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k2_enumset1,dt_k2_xboole_0,dt_k3_enumset1,dt_k4_bvfunc_2,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc2_subset_1,t47_enumset1]),
    [interesting(0.5),file(bvfunc23,e2_1_3_1__bvfunc23),[file(bvfunc23,e2_1_3_1__bvfunc23)]]).

fof(t50_enumset1,theorem,(
    ! [A,B,C,D,E] : k3_enumset1(A,B,C,D,E) = k2_xboole_0(k2_enumset1(A,B,C,D),k1_tarski(E)) ),
    file(enumset1,t50_enumset1),
    [interesting(0.9),axiom,file(enumset1,t50_enumset1)]).

fof(e3_1_3_1__bvfunc23,plain,(
    k2_xboole_0(k4_bvfunc_2(c1_1__bvfunc23,c8_1__bvfunc23),k2_enumset1(c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23)) = k3_enumset1(c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__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_xboole_0,idempotence_k2_xboole_0,redefinition_k4_bvfunc_2,dt_k1_tarski,dt_k2_enumset1,dt_k2_xboole_0,dt_k3_enumset1,dt_k4_bvfunc_2,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc2_subset_1,t50_enumset1]),
    [interesting(0.5),file(bvfunc23,e3_1_3_1__bvfunc23),[file(bvfunc23,e3_1_3_1__bvfunc23)]]).

fof(e18_1_3__bvfunc23,plain,(
    k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))) = k3_enumset1(c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23) ),
    inference(iterative_eq,[status(thm),assumptions([dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[e1_1_3_1__bvfunc23,e2_1_3_1__bvfunc23,e3_1_3_1__bvfunc23]),
    [interesting(0.65),file(bvfunc23,e18_1_3__bvfunc23),[file(bvfunc23,e18_1_3__bvfunc23)]]).

fof(e1_1_3_3_1_1__bvfunc23,plain,(
    ~ ( c2_1_3_3__bvfunc23 != c6_1__bvfunc23
      & c2_1_3_3__bvfunc23 != c4_1__bvfunc23
      & c2_1_3_3__bvfunc23 != c5_1__bvfunc23
      & c2_1_3_3__bvfunc23 != c7_1__bvfunc23
      & c2_1_3_3__bvfunc23 != c8_1__bvfunc23 ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_3__bvfunc23])],[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_1__bvfunc23,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_k1_relat_1,dt_k3_cqc_lang,dt_k3_enumset1,dt_c1_1_3_3__bvfunc23,dt_c2_1_3_3__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e18_1_3__bvfunc23,e3_1_3_3__bvfunc23,d3_enumset1]),
    [interesting(0.2),file(bvfunc23,e1_1_3_3_1_1__bvfunc23),[file(bvfunc23,e1_1_3_3_1_1__bvfunc23)]]).

fof(e4_1_3_3__bvfunc23,plain,(
    ~ ( ~ ( c2_1_3_3__bvfunc23 = c6_1__bvfunc23
          & r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) )
      & ~ ( c2_1_3_3__bvfunc23 = c4_1__bvfunc23
          & r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) )
      & ~ ( c2_1_3_3__bvfunc23 = c5_1__bvfunc23
          & r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) )
      & ~ ( c2_1_3_3__bvfunc23 = c7_1__bvfunc23
          & r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) )
      & ~ ( c2_1_3_3__bvfunc23 = c8_1__bvfunc23
          & r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ) ) ),
    inference(percases,[status(thm),assumptions([dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_3__bvfunc23])],[i1_1_3_3_1_1__bvfunc23,i2_1_3_3_1_1__bvfunc23,i3_1_3_3_1_1__bvfunc23,i4_1_3_3_1_1__bvfunc23,i5_1_3_3_1_1__bvfunc23,e1_1_3_3_1_1__bvfunc23]),
    [interesting(0.5),file(bvfunc23,e4_1_3_3__bvfunc23),[file(bvfunc23,e4_1_3_3__bvfunc23)]]).

fof(e5_1_3_3__bvfunc23,plain,(
    r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_3__bvfunc23])],[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_1__bvfunc23,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_k3_enumset1,dt_c1_1_3_3__bvfunc23,dt_c2_1_3_3__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e4_1_3_3__bvfunc23]),
    [interesting(0.5),file(bvfunc23,e5_1_3_3__bvfunc23),[file(bvfunc23,e5_1_3_3__bvfunc23)]]).

fof(i3_1_3_3__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i3_1_3_3__bvfunc23)]),
    [interesting(0.5),trivial,file(bvfunc23,i3_1_3_3__bvfunc23)]).

fof(i2_1_3_3__bvfunc23,plain,(
    r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_3__bvfunc23])],[e5_1_3_3__bvfunc23,i3_1_3_3__bvfunc23]),
    [interesting(0.5),file(bvfunc23,i2_1_3_3__bvfunc23),[file(bvfunc23,i2_1_3_3__bvfunc23)]]).

fof(i1_1_3_3__bvfunc23,plain,(
    ~ ( r2_hidden(c1_1_3_3__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))))
      & ~ r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23]),discharge_asm(discharge,[e1_1_3_3__bvfunc23])],[e1_1_3_3__bvfunc23,i2_1_3_3__bvfunc23]),
    [interesting(0.5),file(bvfunc23,i1_1_3_3__bvfunc23),[file(bvfunc23,i1_1_3_3__bvfunc23)]]).

fof(i1_1_3_3_tmp__bvfunc23,plain,(
    ~ ( r2_hidden(c1_1_3_3__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))))
      & ~ r2_hidden(c1_1_3_3__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23]),discharge_asm(discharge,[dt_c1_1_3_3__bvfunc23])],[dt_c1_1_3_3__bvfunc23,i1_1_3_3__bvfunc23]),
    [interesting(0.65),e31_1_3__bvfunc23]).

fof(e31_1_3__bvfunc23,plain,(
    r1_tarski(k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))),k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ),
    inference(let,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[i1_1_3_3_tmp__bvfunc23,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_1__bvfunc23,cc2_eqrel_1,idempotence_k1_funct_4,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k2_relat_1,dt_k3_cqc_lang,dt_k3_enumset1,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,d3_tarski,dh_c1_1_3_3__bvfunc23]),
    [interesting(0.65),file(bvfunc23,e31_1_3__bvfunc23),[file(bvfunc23,e31_1_3__bvfunc23)]]).

fof(e1_1_3_5_1_1__bvfunc23,plain,(
    ~ ( c1_1_3_5__bvfunc23 != k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23)
      & c1_1_3_5__bvfunc23 != k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23)
      & c1_1_3_5__bvfunc23 != k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23)
      & c1_1_3_5__bvfunc23 != k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23)
      & c1_1_3_5__bvfunc23 != k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_5__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_5__bvfunc23])],[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_1__bvfunc23,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,idempotence_k1_funct_4,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k2_relat_1,dt_k3_cqc_lang,dt_k3_enumset1,dt_c1_1_3_5__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t3_subset,t7_boole,e31_1_3__bvfunc23,e1_1_3_5__bvfunc23,d3_enumset1]),
    [interesting(0.2),file(bvfunc23,e1_1_3_5_1_1__bvfunc23),[file(bvfunc23,e1_1_3_5_1_1__bvfunc23)]]).

fof(e2_1_3_5__bvfunc23,plain,(
    ~ ( ~ ( c1_1_3_5__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23)
          & r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) )
      & ~ ( c1_1_3_5__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23)
          & r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) )
      & ~ ( c1_1_3_5__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23)
          & r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) )
      & ~ ( c1_1_3_5__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23)
          & r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) )
      & ~ ( c1_1_3_5__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23)
          & r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) ) ) ),
    inference(percases,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1_3_5__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_5__bvfunc23])],[i1_1_3_5_1_1__bvfunc23,i2_1_3_5_1_1__bvfunc23,i3_1_3_5_1_1__bvfunc23,i4_1_3_5_1_1__bvfunc23,i5_1_3_5_1_1__bvfunc23,e1_1_3_5_1_1__bvfunc23]),
    [interesting(0.5),file(bvfunc23,e2_1_3_5__bvfunc23),[file(bvfunc23,e2_1_3_5__bvfunc23)]]).

fof(e3_1_3_5__bvfunc23,plain,(
    r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1_3_5__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_5__bvfunc23])],[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_1__bvfunc23,dt_c1_1_3_5__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,fc1_subset_1,t1_subset,t7_boole,e2_1_3_5__bvfunc23]),
    [interesting(0.5),file(bvfunc23,e3_1_3_5__bvfunc23),[file(bvfunc23,e3_1_3_5__bvfunc23)]]).

fof(i3_1_3_5__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i3_1_3_5__bvfunc23)]),
    [interesting(0.5),trivial,file(bvfunc23,i3_1_3_5__bvfunc23)]).

fof(i2_1_3_5__bvfunc23,plain,(
    r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) ),
    inference(conclusion,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1_3_5__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_5__bvfunc23])],[e3_1_3_5__bvfunc23,i3_1_3_5__bvfunc23]),
    [interesting(0.5),file(bvfunc23,i2_1_3_5__bvfunc23),[file(bvfunc23,i2_1_3_5__bvfunc23)]]).

fof(i1_1_3_5__bvfunc23,plain,(
    ~ ( r2_hidden(c1_1_3_5__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))))
      & ~ r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1_3_5__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23]),discharge_asm(discharge,[e1_1_3_5__bvfunc23])],[e1_1_3_5__bvfunc23,i2_1_3_5__bvfunc23]),
    [interesting(0.5),file(bvfunc23,i1_1_3_5__bvfunc23),[file(bvfunc23,i1_1_3_5__bvfunc23)]]).

fof(i1_1_3_5_tmp__bvfunc23,plain,(
    ~ ( r2_hidden(c1_1_3_5__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))))
      & ~ r2_hidden(c1_1_3_5__bvfunc23,k1_zfmisc_1(c1_1__bvfunc23)) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23]),discharge_asm(discharge,[dt_c1_1_3_5__bvfunc23])],[dt_c1_1_3_5__bvfunc23,i1_1_3_5__bvfunc23]),
    [interesting(0.65),e34_1_3__bvfunc23]).

fof(e34_1_3__bvfunc23,plain,(
    r1_tarski(k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))),k1_zfmisc_1(c1_1__bvfunc23)) ),
    inference(let,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[i1_1_3_5_tmp__bvfunc23,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_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,fc1_subset_1,d3_tarski,dh_c1_1_3_5__bvfunc23]),
    [interesting(0.65),file(bvfunc23,e34_1_3__bvfunc23),[file(bvfunc23,e34_1_3__bvfunc23)]]).

fof(e35_1_3__bvfunc23,plain,(
    m1_subset_1(k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))),k1_zfmisc_1(k1_zfmisc_1(c1_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,fc1_subset_1,t3_subset,e34_1_3__bvfunc23]),
    [interesting(0.65),file(bvfunc23,e35_1_3__bvfunc23),[file(bvfunc23,e35_1_3__bvfunc23)]]).

fof(dt_c11_1_3__bvfunc23,plain,(
    m1_subset_1(c11_1_3__bvfunc23,k1_zfmisc_1(k1_zfmisc_1(c1_1__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,fc1_subset_1,t3_subset,de_c11_1_3__bvfunc23,e35_1_3__bvfunc23]),
    [interesting(0.65),file(bvfunc23,c11_1_3__bvfunc23),[file(bvfunc23,c11_1_3__bvfunc23)]]).

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(e40_1_3__bvfunc23,plain,(
    c1_1_3__bvfunc23 != k1_xboole_0 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,cc2_eqrel_1,fc1_subset_1,fc1_xboole_0,t1_subset,t3_subset,t4_subset,t6_boole,t7_boole,e1_1_3__bvfunc23,d6_eqrel_1]),
    [interesting(0.65),file(bvfunc23,e40_1_3__bvfunc23),[file(bvfunc23,e40_1_3__bvfunc23)]]).

fof(dh_c1_1_3_2__bvfunc23,definition,
    ( ( r2_hidden(c1_1_3_2__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))
     => r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) )
   => ! [A] : 
        ( r2_hidden(A,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))
       => r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),A),A) ) ),
    introduced(definition,[new_symbol(c1_1_3_2__bvfunc23),file(bvfunc23,c1_1_3_2__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,c1_1_3_2__bvfunc23)]).

fof(e1_1_3_2__bvfunc23,assumption,(
    r2_hidden(c1_1_3_2__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23))) ),
    introduced(assumption,[file(bvfunc23,e1_1_3_2__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,e1_1_3_2__bvfunc23)]).

fof(dt_c1_1_3_2__bvfunc23,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc23,c1_1_3_2__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,c1_1_3_2__bvfunc23)]).

fof(e1_1_3_2_1_1_1__bvfunc23,assumption,(
    c1_1_3_2__bvfunc23 = c6_1__bvfunc23 ),
    introduced(assumption,[file(bvfunc23,e1_1_3_2_1_1_1__bvfunc23)]),
    [interesting(0.05),axiom,file(bvfunc23,e1_1_3_2_1_1_1__bvfunc23)]).

fof(e2_1_3_2_1_1_1__bvfunc23,plain,(
    r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_3_2_1_1_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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,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_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_k4_enumset1,dt_c1_1__bvfunc23,dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c4_1_3__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c6_1_3__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e1_1_3_2_1_1_1__bvfunc23,e1_1__bvfunc23,e13_1_3__bvfunc23,t29_bvfunc14]),
    [interesting(0.05),file(bvfunc23,e2_1_3_2_1_1_1__bvfunc23),[file(bvfunc23,e2_1_3_2_1_1_1__bvfunc23)]]).

fof(i2_1_3_2_1_1_1__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_2_1_1_1__bvfunc23)]),
    [interesting(0.05),trivial,file(bvfunc23,i2_1_3_2_1_1_1__bvfunc23)]).

fof(i1_1_3_2_1_1_1__bvfunc23,plain,(
    r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_3_2_1_1_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[e2_1_3_2_1_1_1__bvfunc23,i2_1_3_2_1_1_1__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_3_2_1_1_1__bvfunc23),[file(bvfunc23,i1_1_3_2_1_1_1__bvfunc23)]]).

fof(i1_1_3_2_1_1__bvfunc23,plain,
    ( c1_1_3_2__bvfunc23 = c6_1__bvfunc23
   => ( c1_1_3_2__bvfunc23 = c6_1__bvfunc23
      & r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23]),discharge_asm(discharge,[e1_1_3_2_1_1_1__bvfunc23])],[e1_1_3_2_1_1_1__bvfunc23,i1_1_3_2_1_1_1__bvfunc23]),
    [interesting(0.2),file(bvfunc23,i1_1_3_2_1_1__bvfunc23),[file(bvfunc23,i1_1_3_2_1_1__bvfunc23)]]).

fof(e1_1_3_2_1_1_2__bvfunc23,assumption,(
    c1_1_3_2__bvfunc23 = c4_1__bvfunc23 ),
    introduced(assumption,[file(bvfunc23,e1_1_3_2_1_1_2__bvfunc23)]),
    [interesting(0.05),axiom,file(bvfunc23,e1_1_3_2_1_1_2__bvfunc23)]).

fof(e2_1_3_2_1_1_2__bvfunc23,plain,(
    r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_3_2_1_1_2__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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_1__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,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_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k3_xboole_0,dt_k4_enumset1,dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c6_1_3__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e1_1_3_2_1_1_2__bvfunc23,e1_1__bvfunc23,e17_1_3__bvfunc23,t29_bvfunc14]),
    [interesting(0.05),file(bvfunc23,e2_1_3_2_1_1_2__bvfunc23),[file(bvfunc23,e2_1_3_2_1_1_2__bvfunc23)]]).

fof(i2_1_3_2_1_1_2__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_2_1_1_2__bvfunc23)]),
    [interesting(0.05),trivial,file(bvfunc23,i2_1_3_2_1_1_2__bvfunc23)]).

fof(i1_1_3_2_1_1_2__bvfunc23,plain,(
    r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_3_2_1_1_2__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[e2_1_3_2_1_1_2__bvfunc23,i2_1_3_2_1_1_2__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_3_2_1_1_2__bvfunc23),[file(bvfunc23,i1_1_3_2_1_1_2__bvfunc23)]]).

fof(i2_1_3_2_1_1__bvfunc23,plain,
    ( c1_1_3_2__bvfunc23 = c4_1__bvfunc23
   => ( c1_1_3_2__bvfunc23 = c4_1__bvfunc23
      & r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23]),discharge_asm(discharge,[e1_1_3_2_1_1_2__bvfunc23])],[e1_1_3_2_1_1_2__bvfunc23,i1_1_3_2_1_1_2__bvfunc23]),
    [interesting(0.2),file(bvfunc23,i2_1_3_2_1_1__bvfunc23),[file(bvfunc23,i2_1_3_2_1_1__bvfunc23)]]).

fof(e1_1_3_2_1_1_3__bvfunc23,assumption,(
    c1_1_3_2__bvfunc23 = c5_1__bvfunc23 ),
    introduced(assumption,[file(bvfunc23,e1_1_3_2_1_1_3__bvfunc23)]),
    [interesting(0.05),axiom,file(bvfunc23,e1_1_3_2_1_1_3__bvfunc23)]).

fof(e2_1_3_2_1_1_3__bvfunc23,plain,(
    r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_3_2_1_1_3__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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_1__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,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_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k3_xboole_0,dt_k4_enumset1,dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c6_1_3__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e1_1_3_2_1_1_3__bvfunc23,e1_1__bvfunc23,e17_1_3__bvfunc23,t29_bvfunc14]),
    [interesting(0.05),file(bvfunc23,e2_1_3_2_1_1_3__bvfunc23),[file(bvfunc23,e2_1_3_2_1_1_3__bvfunc23)]]).

fof(i2_1_3_2_1_1_3__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_2_1_1_3__bvfunc23)]),
    [interesting(0.05),trivial,file(bvfunc23,i2_1_3_2_1_1_3__bvfunc23)]).

fof(i1_1_3_2_1_1_3__bvfunc23,plain,(
    r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_3_2_1_1_3__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[e2_1_3_2_1_1_3__bvfunc23,i2_1_3_2_1_1_3__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_3_2_1_1_3__bvfunc23),[file(bvfunc23,i1_1_3_2_1_1_3__bvfunc23)]]).

fof(i3_1_3_2_1_1__bvfunc23,plain,
    ( c1_1_3_2__bvfunc23 = c5_1__bvfunc23
   => ( c1_1_3_2__bvfunc23 = c5_1__bvfunc23
      & r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23]),discharge_asm(discharge,[e1_1_3_2_1_1_3__bvfunc23])],[e1_1_3_2_1_1_3__bvfunc23,i1_1_3_2_1_1_3__bvfunc23]),
    [interesting(0.2),file(bvfunc23,i3_1_3_2_1_1__bvfunc23),[file(bvfunc23,i3_1_3_2_1_1__bvfunc23)]]).

fof(e1_1_3_2_1_1_4__bvfunc23,assumption,(
    c1_1_3_2__bvfunc23 = c7_1__bvfunc23 ),
    introduced(assumption,[file(bvfunc23,e1_1_3_2_1_1_4__bvfunc23)]),
    [interesting(0.05),axiom,file(bvfunc23,e1_1_3_2_1_1_4__bvfunc23)]).

fof(e2_1_3_2_1_1_4__bvfunc23,plain,(
    r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_3_2_1_1_4__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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,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_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_k4_enumset1,dt_c1_1__bvfunc23,dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,dt_c2_1_3__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c4_1_3__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e1_1_3_2_1_1_4__bvfunc23,e1_1__bvfunc23,e9_1_3__bvfunc23,t29_bvfunc14]),
    [interesting(0.05),file(bvfunc23,e2_1_3_2_1_1_4__bvfunc23),[file(bvfunc23,e2_1_3_2_1_1_4__bvfunc23)]]).

fof(i2_1_3_2_1_1_4__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_2_1_1_4__bvfunc23)]),
    [interesting(0.05),trivial,file(bvfunc23,i2_1_3_2_1_1_4__bvfunc23)]).

fof(i1_1_3_2_1_1_4__bvfunc23,plain,(
    r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_3_2_1_1_4__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[e2_1_3_2_1_1_4__bvfunc23,i2_1_3_2_1_1_4__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_3_2_1_1_4__bvfunc23),[file(bvfunc23,i1_1_3_2_1_1_4__bvfunc23)]]).

fof(i4_1_3_2_1_1__bvfunc23,plain,
    ( c1_1_3_2__bvfunc23 = c7_1__bvfunc23
   => ( c1_1_3_2__bvfunc23 = c7_1__bvfunc23
      & r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23]),discharge_asm(discharge,[e1_1_3_2_1_1_4__bvfunc23])],[e1_1_3_2_1_1_4__bvfunc23,i1_1_3_2_1_1_4__bvfunc23]),
    [interesting(0.2),file(bvfunc23,i4_1_3_2_1_1__bvfunc23),[file(bvfunc23,i4_1_3_2_1_1__bvfunc23)]]).

fof(e1_1_3_2_1_1_5__bvfunc23,assumption,(
    c1_1_3_2__bvfunc23 = c8_1__bvfunc23 ),
    introduced(assumption,[file(bvfunc23,e1_1_3_2_1_1_5__bvfunc23)]),
    [interesting(0.05),axiom,file(bvfunc23,e1_1_3_2_1_1_5__bvfunc23)]).

fof(e2_1_3_2_1_1_5__bvfunc23,plain,(
    r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_3_2_1_1_5__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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,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_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_k4_enumset1,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,dt_c2_1_3__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e1_1_3_2_1_1_5__bvfunc23,e1_1__bvfunc23,e5_1_3__bvfunc23,t29_bvfunc14]),
    [interesting(0.05),file(bvfunc23,e2_1_3_2_1_1_5__bvfunc23),[file(bvfunc23,e2_1_3_2_1_1_5__bvfunc23)]]).

fof(i2_1_3_2_1_1_5__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_2_1_1_5__bvfunc23)]),
    [interesting(0.05),trivial,file(bvfunc23,i2_1_3_2_1_1_5__bvfunc23)]).

fof(i1_1_3_2_1_1_5__bvfunc23,plain,(
    r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_3_2_1_1_5__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[e2_1_3_2_1_1_5__bvfunc23,i2_1_3_2_1_1_5__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_3_2_1_1_5__bvfunc23),[file(bvfunc23,i1_1_3_2_1_1_5__bvfunc23)]]).

fof(i5_1_3_2_1_1__bvfunc23,plain,
    ( c1_1_3_2__bvfunc23 = c8_1__bvfunc23
   => ( c1_1_3_2__bvfunc23 = c8_1__bvfunc23
      & r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23]),discharge_asm(discharge,[e1_1_3_2_1_1_5__bvfunc23])],[e1_1_3_2_1_1_5__bvfunc23,i1_1_3_2_1_1_5__bvfunc23]),
    [interesting(0.2),file(bvfunc23,i5_1_3_2_1_1__bvfunc23),[file(bvfunc23,i5_1_3_2_1_1__bvfunc23)]]).

fof(e1_1_3_2_1_1__bvfunc23,plain,(
    ~ ( c1_1_3_2__bvfunc23 != c6_1__bvfunc23
      & c1_1_3_2__bvfunc23 != c4_1__bvfunc23
      & c1_1_3_2__bvfunc23 != c5_1__bvfunc23
      & c1_1_3_2__bvfunc23 != c7_1__bvfunc23
      & c1_1_3_2__bvfunc23 != c8_1__bvfunc23 ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_3_2__bvfunc23])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t2_subset,t3_subset,t4_subset,t5_subset,t8_boole,commutativity_k2_xboole_0,idempotence_k2_xboole_0,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k1_xboole_0,dt_k2_xboole_0,dt_k3_enumset1,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_c1_1__bvfunc23,dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,fc1_xboole_0,t1_boole,t1_subset,t3_boole,t4_boole,t6_boole,t7_boole,e3_1__bvfunc23,e9_1__bvfunc23,e11_1__bvfunc23,e1_1_3_2__bvfunc23,d3_enumset1]),
    [interesting(0.2),file(bvfunc23,e1_1_3_2_1_1__bvfunc23),[file(bvfunc23,e1_1_3_2_1_1__bvfunc23)]]).

fof(e2_1_3_2__bvfunc23,plain,(
    ~ ( ~ ( c1_1_3_2__bvfunc23 = c6_1__bvfunc23
          & r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) )
      & ~ ( c1_1_3_2__bvfunc23 = c4_1__bvfunc23
          & r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) )
      & ~ ( c1_1_3_2__bvfunc23 = c5_1__bvfunc23
          & r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) )
      & ~ ( c1_1_3_2__bvfunc23 = c7_1__bvfunc23
          & r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) )
      & ~ ( c1_1_3_2__bvfunc23 = c8_1__bvfunc23
          & r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) ) ) ),
    inference(percases,[status(thm),assumptions([dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_3_2__bvfunc23])],[i1_1_3_2_1_1__bvfunc23,i2_1_3_2_1_1__bvfunc23,i3_1_3_2_1_1__bvfunc23,i4_1_3_2_1_1__bvfunc23,i5_1_3_2_1_1__bvfunc23,e1_1_3_2_1_1__bvfunc23]),
    [interesting(0.5),file(bvfunc23,e2_1_3_2__bvfunc23),[file(bvfunc23,e2_1_3_2__bvfunc23)]]).

fof(e3_1_3_2__bvfunc23,plain,(
    r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_3_2__bvfunc23])],[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_1__bvfunc23,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_1_3_2__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e2_1_3_2__bvfunc23]),
    [interesting(0.5),file(bvfunc23,e3_1_3_2__bvfunc23),[file(bvfunc23,e3_1_3_2__bvfunc23)]]).

fof(i3_1_3_2__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i3_1_3_2__bvfunc23)]),
    [interesting(0.5),trivial,file(bvfunc23,i3_1_3_2__bvfunc23)]).

fof(i2_1_3_2__bvfunc23,plain,(
    r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23,e1_1_3_2__bvfunc23])],[e3_1_3_2__bvfunc23,i3_1_3_2__bvfunc23]),
    [interesting(0.5),file(bvfunc23,i2_1_3_2__bvfunc23),[file(bvfunc23,i2_1_3_2__bvfunc23)]]).

fof(i1_1_3_2__bvfunc23,plain,
    ( r2_hidden(c1_1_3_2__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))
   => r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1_3_2__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23]),discharge_asm(discharge,[e1_1_3_2__bvfunc23])],[e1_1_3_2__bvfunc23,i2_1_3_2__bvfunc23]),
    [interesting(0.5),file(bvfunc23,i1_1_3_2__bvfunc23),[file(bvfunc23,i1_1_3_2__bvfunc23)]]).

fof(i1_1_3_2_tmp__bvfunc23,plain,
    ( r2_hidden(c1_1_3_2__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))
   => r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c1_1_3_2__bvfunc23),c1_1_3_2__bvfunc23) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23]),discharge_asm(discharge,[dt_c1_1_3_2__bvfunc23])],[dt_c1_1_3_2__bvfunc23,i1_1_3_2__bvfunc23]),
    [interesting(0.65),e24_1_3__bvfunc23]).

fof(e24_1_3__bvfunc23,plain,(
    ! [A] : 
      ( r2_hidden(A,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))
     => r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),A),A) ) ),
    inference(let,[status(thm),assumptions([dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c2_1__bvfunc23,e1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1__bvfunc23])],[i1_1_3_2_tmp__bvfunc23,dh_c1_1_3_2__bvfunc23]),
    [interesting(0.65),file(bvfunc23,e24_1_3__bvfunc23),[file(bvfunc23,e24_1_3__bvfunc23)]]).

fof(dt_c1_1_3_7__bvfunc23,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc23,c1_1_3_7__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,c1_1_3_7__bvfunc23)]).

fof(dh_c1_1_3_7__bvfunc23,definition,
    ( ~ ( r2_hidden(c1_1_3_7__bvfunc23,k8_setfam_1(c1_1__bvfunc23,c11_1_3__bvfunc23))
        & ~ r2_hidden(c1_1_3_7__bvfunc23,c1_1_3__bvfunc23) )
   => ! [A] : 
        ~ ( r2_hidden(A,k8_setfam_1(c1_1__bvfunc23,c11_1_3__bvfunc23))
          & ~ r2_hidden(A,c1_1_3__bvfunc23) ) ),
    introduced(definition,[new_symbol(c1_1_3_7__bvfunc23),file(bvfunc23,c1_1_3_7__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,c1_1_3_7__bvfunc23)]).

fof(e1_1_3_7__bvfunc23,assumption,(
    r2_hidden(c1_1_3_7__bvfunc23,k8_setfam_1(c1_1__bvfunc23,c11_1_3__bvfunc23)) ),
    introduced(assumption,[file(bvfunc23,e1_1_3_7__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,e1_1_3_7__bvfunc23)]).

fof(dt_c1_1_3_4__bvfunc23,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc23,c1_1_3_4__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,c1_1_3_4__bvfunc23)]).

fof(dh_c1_1_3_4__bvfunc23,definition,
    ( ~ ( r2_hidden(c1_1_3_4__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23)))
        & ~ r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) )
   => ! [A] : 
        ~ ( r2_hidden(A,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23)))
          & ~ r2_hidden(A,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ) ),
    introduced(definition,[new_symbol(c1_1_3_4__bvfunc23),file(bvfunc23,c1_1_3_4__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,c1_1_3_4__bvfunc23)]).

fof(e1_1_3_4__bvfunc23,assumption,(
    r2_hidden(c1_1_3_4__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23))) ),
    introduced(assumption,[file(bvfunc23,e1_1_3_4__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,e1_1_3_4__bvfunc23)]).

fof(e1_1_3_4_1_1_1__bvfunc23,assumption,(
    c1_1_3_4__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_3_4_1_1_1__bvfunc23)]),
    [interesting(0.05),axiom,file(bvfunc23,e1_1_3_4_1_1_1__bvfunc23)]).

fof(e25_1_3__bvfunc23,plain,(
    r2_hidden(c6_1__bvfunc23,k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[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_1__bvfunc23,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_4,dt_k1_relat_1,dt_k3_cqc_lang,dt_k3_enumset1,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e18_1_3__bvfunc23,d3_enumset1]),
    [interesting(0.65),file(bvfunc23,e25_1_3__bvfunc23),[file(bvfunc23,e25_1_3__bvfunc23)]]).

fof(e2_1_3_4_1_1_1__bvfunc23,plain,(
    r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_4__bvfunc23,e1_1_3_4_1_1_1__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[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_1__bvfunc23,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_k1_relat_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_c1_1_3_4__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e1_1_3_4_1_1_1__bvfunc23,e25_1_3__bvfunc23,d5_funct_1]),
    [interesting(0.05),file(bvfunc23,e2_1_3_4_1_1_1__bvfunc23),[file(bvfunc23,e2_1_3_4_1_1_1__bvfunc23)]]).

fof(i2_1_3_4_1_1_1__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_4_1_1_1__bvfunc23)]),
    [interesting(0.05),trivial,file(bvfunc23,i2_1_3_4_1_1_1__bvfunc23)]).

fof(i1_1_3_4_1_1_1__bvfunc23,plain,(
    r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_4__bvfunc23,e1_1_3_4_1_1_1__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[e2_1_3_4_1_1_1__bvfunc23,i2_1_3_4_1_1_1__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_3_4_1_1_1__bvfunc23),[file(bvfunc23,i1_1_3_4_1_1_1__bvfunc23)]]).

fof(i1_1_3_4_1_1__bvfunc23,plain,
    ( c1_1_3_4__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23)
   => ( c1_1_3_4__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23)
      & r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_4__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23]),discharge_asm(discharge,[e1_1_3_4_1_1_1__bvfunc23])],[e1_1_3_4_1_1_1__bvfunc23,i1_1_3_4_1_1_1__bvfunc23]),
    [interesting(0.2),file(bvfunc23,i1_1_3_4_1_1__bvfunc23),[file(bvfunc23,i1_1_3_4_1_1__bvfunc23)]]).

fof(e1_1_3_4_1_1_2__bvfunc23,assumption,(
    c1_1_3_4__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_3_4_1_1_2__bvfunc23)]),
    [interesting(0.05),axiom,file(bvfunc23,e1_1_3_4_1_1_2__bvfunc23)]).

fof(e27_1_3__bvfunc23,plain,(
    r2_hidden(c4_1__bvfunc23,k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[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_1__bvfunc23,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_4,dt_k1_relat_1,dt_k3_cqc_lang,dt_k3_enumset1,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e18_1_3__bvfunc23,d3_enumset1]),
    [interesting(0.65),file(bvfunc23,e27_1_3__bvfunc23),[file(bvfunc23,e27_1_3__bvfunc23)]]).

fof(e2_1_3_4_1_1_2__bvfunc23,plain,(
    r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_4__bvfunc23,e1_1_3_4_1_1_2__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[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_1__bvfunc23,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_k1_relat_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_c1_1_3_4__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e1_1_3_4_1_1_2__bvfunc23,e27_1_3__bvfunc23,d5_funct_1]),
    [interesting(0.05),file(bvfunc23,e2_1_3_4_1_1_2__bvfunc23),[file(bvfunc23,e2_1_3_4_1_1_2__bvfunc23)]]).

fof(i2_1_3_4_1_1_2__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_4_1_1_2__bvfunc23)]),
    [interesting(0.05),trivial,file(bvfunc23,i2_1_3_4_1_1_2__bvfunc23)]).

fof(i1_1_3_4_1_1_2__bvfunc23,plain,(
    r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_4__bvfunc23,e1_1_3_4_1_1_2__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[e2_1_3_4_1_1_2__bvfunc23,i2_1_3_4_1_1_2__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_3_4_1_1_2__bvfunc23),[file(bvfunc23,i1_1_3_4_1_1_2__bvfunc23)]]).

fof(i2_1_3_4_1_1__bvfunc23,plain,
    ( c1_1_3_4__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23)
   => ( c1_1_3_4__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23)
      & r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_4__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23]),discharge_asm(discharge,[e1_1_3_4_1_1_2__bvfunc23])],[e1_1_3_4_1_1_2__bvfunc23,i1_1_3_4_1_1_2__bvfunc23]),
    [interesting(0.2),file(bvfunc23,i2_1_3_4_1_1__bvfunc23),[file(bvfunc23,i2_1_3_4_1_1__bvfunc23)]]).

fof(e1_1_3_4_1_1_3__bvfunc23,assumption,(
    c1_1_3_4__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_3_4_1_1_3__bvfunc23)]),
    [interesting(0.05),axiom,file(bvfunc23,e1_1_3_4_1_1_3__bvfunc23)]).

fof(e28_1_3__bvfunc23,plain,(
    r2_hidden(c5_1__bvfunc23,k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[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_1__bvfunc23,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_4,dt_k1_relat_1,dt_k3_cqc_lang,dt_k3_enumset1,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e18_1_3__bvfunc23,d3_enumset1]),
    [interesting(0.65),file(bvfunc23,e28_1_3__bvfunc23),[file(bvfunc23,e28_1_3__bvfunc23)]]).

fof(e2_1_3_4_1_1_3__bvfunc23,plain,(
    r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_4__bvfunc23,e1_1_3_4_1_1_3__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[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_1__bvfunc23,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_k1_relat_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_c1_1_3_4__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e1_1_3_4_1_1_3__bvfunc23,e28_1_3__bvfunc23,d5_funct_1]),
    [interesting(0.05),file(bvfunc23,e2_1_3_4_1_1_3__bvfunc23),[file(bvfunc23,e2_1_3_4_1_1_3__bvfunc23)]]).

fof(i2_1_3_4_1_1_3__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_4_1_1_3__bvfunc23)]),
    [interesting(0.05),trivial,file(bvfunc23,i2_1_3_4_1_1_3__bvfunc23)]).

fof(i1_1_3_4_1_1_3__bvfunc23,plain,(
    r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_4__bvfunc23,e1_1_3_4_1_1_3__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[e2_1_3_4_1_1_3__bvfunc23,i2_1_3_4_1_1_3__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_3_4_1_1_3__bvfunc23),[file(bvfunc23,i1_1_3_4_1_1_3__bvfunc23)]]).

fof(i3_1_3_4_1_1__bvfunc23,plain,
    ( c1_1_3_4__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23)
   => ( c1_1_3_4__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23)
      & r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_4__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23]),discharge_asm(discharge,[e1_1_3_4_1_1_3__bvfunc23])],[e1_1_3_4_1_1_3__bvfunc23,i1_1_3_4_1_1_3__bvfunc23]),
    [interesting(0.2),file(bvfunc23,i3_1_3_4_1_1__bvfunc23),[file(bvfunc23,i3_1_3_4_1_1__bvfunc23)]]).

fof(e1_1_3_4_1_1_4__bvfunc23,assumption,(
    c1_1_3_4__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_3_4_1_1_4__bvfunc23)]),
    [interesting(0.05),axiom,file(bvfunc23,e1_1_3_4_1_1_4__bvfunc23)]).

fof(e29_1_3__bvfunc23,plain,(
    r2_hidden(c7_1__bvfunc23,k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[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_1__bvfunc23,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_4,dt_k1_relat_1,dt_k3_cqc_lang,dt_k3_enumset1,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e18_1_3__bvfunc23,d3_enumset1]),
    [interesting(0.65),file(bvfunc23,e29_1_3__bvfunc23),[file(bvfunc23,e29_1_3__bvfunc23)]]).

fof(e2_1_3_4_1_1_4__bvfunc23,plain,(
    r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_4__bvfunc23,e1_1_3_4_1_1_4__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[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_1__bvfunc23,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_k1_relat_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_c1_1_3_4__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e1_1_3_4_1_1_4__bvfunc23,e29_1_3__bvfunc23,d5_funct_1]),
    [interesting(0.05),file(bvfunc23,e2_1_3_4_1_1_4__bvfunc23),[file(bvfunc23,e2_1_3_4_1_1_4__bvfunc23)]]).

fof(i2_1_3_4_1_1_4__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_4_1_1_4__bvfunc23)]),
    [interesting(0.05),trivial,file(bvfunc23,i2_1_3_4_1_1_4__bvfunc23)]).

fof(i1_1_3_4_1_1_4__bvfunc23,plain,(
    r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_4__bvfunc23,e1_1_3_4_1_1_4__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[e2_1_3_4_1_1_4__bvfunc23,i2_1_3_4_1_1_4__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_3_4_1_1_4__bvfunc23),[file(bvfunc23,i1_1_3_4_1_1_4__bvfunc23)]]).

fof(i4_1_3_4_1_1__bvfunc23,plain,
    ( c1_1_3_4__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23)
   => ( c1_1_3_4__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23)
      & r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_4__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23]),discharge_asm(discharge,[e1_1_3_4_1_1_4__bvfunc23])],[e1_1_3_4_1_1_4__bvfunc23,i1_1_3_4_1_1_4__bvfunc23]),
    [interesting(0.2),file(bvfunc23,i4_1_3_4_1_1__bvfunc23),[file(bvfunc23,i4_1_3_4_1_1__bvfunc23)]]).

fof(e1_1_3_4_1_1_5__bvfunc23,assumption,(
    c1_1_3_4__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_3_4_1_1_5__bvfunc23)]),
    [interesting(0.05),axiom,file(bvfunc23,e1_1_3_4_1_1_5__bvfunc23)]).

fof(e30_1_3__bvfunc23,plain,(
    r2_hidden(c8_1__bvfunc23,k1_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[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_1__bvfunc23,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_4,dt_k1_relat_1,dt_k3_cqc_lang,dt_k3_enumset1,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e18_1_3__bvfunc23,d3_enumset1]),
    [interesting(0.65),file(bvfunc23,e30_1_3__bvfunc23),[file(bvfunc23,e30_1_3__bvfunc23)]]).

fof(e2_1_3_4_1_1_5__bvfunc23,plain,(
    r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_4__bvfunc23,e1_1_3_4_1_1_5__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[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_1__bvfunc23,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_k1_relat_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_c1_1_3_4__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e1_1_3_4_1_1_5__bvfunc23,e30_1_3__bvfunc23,d5_funct_1]),
    [interesting(0.05),file(bvfunc23,e2_1_3_4_1_1_5__bvfunc23),[file(bvfunc23,e2_1_3_4_1_1_5__bvfunc23)]]).

fof(i2_1_3_4_1_1_5__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_4_1_1_5__bvfunc23)]),
    [interesting(0.05),trivial,file(bvfunc23,i2_1_3_4_1_1_5__bvfunc23)]).

fof(i1_1_3_4_1_1_5__bvfunc23,plain,(
    r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_4__bvfunc23,e1_1_3_4_1_1_5__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[e2_1_3_4_1_1_5__bvfunc23,i2_1_3_4_1_1_5__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_3_4_1_1_5__bvfunc23),[file(bvfunc23,i1_1_3_4_1_1_5__bvfunc23)]]).

fof(i5_1_3_4_1_1__bvfunc23,plain,
    ( c1_1_3_4__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23)
   => ( c1_1_3_4__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23)
      & r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_4__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23]),discharge_asm(discharge,[e1_1_3_4_1_1_5__bvfunc23])],[e1_1_3_4_1_1_5__bvfunc23,i1_1_3_4_1_1_5__bvfunc23]),
    [interesting(0.2),file(bvfunc23,i5_1_3_4_1_1__bvfunc23),[file(bvfunc23,i5_1_3_4_1_1__bvfunc23)]]).

fof(e1_1_3_4_1_1__bvfunc23,plain,(
    ~ ( c1_1_3_4__bvfunc23 != k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23)
      & c1_1_3_4__bvfunc23 != k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23)
      & c1_1_3_4__bvfunc23 != k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23)
      & c1_1_3_4__bvfunc23 != k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23)
      & c1_1_3_4__bvfunc23 != k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_4__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_4__bvfunc23])],[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_1__bvfunc23,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_k3_enumset1,dt_c1_1_3_4__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e1_1_3_4__bvfunc23,d3_enumset1]),
    [interesting(0.2),file(bvfunc23,e1_1_3_4_1_1__bvfunc23),[file(bvfunc23,e1_1_3_4_1_1__bvfunc23)]]).

fof(e2_1_3_4__bvfunc23,plain,(
    ~ ( ~ ( c1_1_3_4__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23)
          & r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) )
      & ~ ( c1_1_3_4__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23)
          & r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) )
      & ~ ( c1_1_3_4__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23)
          & r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) )
      & ~ ( c1_1_3_4__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23)
          & r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) )
      & ~ ( c1_1_3_4__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23)
          & r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ) ) ),
    inference(percases,[status(thm),assumptions([dt_c1_1_3_4__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_4__bvfunc23])],[i1_1_3_4_1_1__bvfunc23,i2_1_3_4_1_1__bvfunc23,i3_1_3_4_1_1__bvfunc23,i4_1_3_4_1_1__bvfunc23,i5_1_3_4_1_1__bvfunc23,e1_1_3_4_1_1__bvfunc23]),
    [interesting(0.5),file(bvfunc23,e2_1_3_4__bvfunc23),[file(bvfunc23,e2_1_3_4__bvfunc23)]]).

fof(e3_1_3_4__bvfunc23,plain,(
    r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_4__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_4__bvfunc23])],[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_1__bvfunc23,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_k2_relat_1,dt_k3_cqc_lang,dt_c1_1_3_4__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e2_1_3_4__bvfunc23]),
    [interesting(0.5),file(bvfunc23,e3_1_3_4__bvfunc23),[file(bvfunc23,e3_1_3_4__bvfunc23)]]).

fof(i3_1_3_4__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i3_1_3_4__bvfunc23)]),
    [interesting(0.5),trivial,file(bvfunc23,i3_1_3_4__bvfunc23)]).

fof(i2_1_3_4__bvfunc23,plain,(
    r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_4__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_4__bvfunc23])],[e3_1_3_4__bvfunc23,i3_1_3_4__bvfunc23]),
    [interesting(0.5),file(bvfunc23,i2_1_3_4__bvfunc23),[file(bvfunc23,i2_1_3_4__bvfunc23)]]).

fof(i1_1_3_4__bvfunc23,plain,(
    ~ ( r2_hidden(c1_1_3_4__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23)))
      & ~ r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_4__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23]),discharge_asm(discharge,[e1_1_3_4__bvfunc23])],[e1_1_3_4__bvfunc23,i2_1_3_4__bvfunc23]),
    [interesting(0.5),file(bvfunc23,i1_1_3_4__bvfunc23),[file(bvfunc23,i1_1_3_4__bvfunc23)]]).

fof(i1_1_3_4_tmp__bvfunc23,plain,(
    ~ ( r2_hidden(c1_1_3_4__bvfunc23,k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23)))
      & ~ r2_hidden(c1_1_3_4__bvfunc23,k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23]),discharge_asm(discharge,[dt_c1_1_3_4__bvfunc23])],[dt_c1_1_3_4__bvfunc23,i1_1_3_4__bvfunc23]),
    [interesting(0.65),e32_1_3__bvfunc23]).

fof(e32_1_3__bvfunc23,plain,(
    r1_tarski(k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23)),k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    inference(let,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[i1_1_3_4_tmp__bvfunc23,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_1__bvfunc23,cc2_eqrel_1,idempotence_k1_funct_4,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k2_relat_1,dt_k3_cqc_lang,dt_k3_enumset1,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,d3_tarski,dh_c1_1_3_4__bvfunc23]),
    [interesting(0.65),file(bvfunc23,e32_1_3__bvfunc23),[file(bvfunc23,e32_1_3__bvfunc23)]]).

fof(e33_1_3__bvfunc23,plain,(
    k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))) = k3_enumset1(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,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_1__bvfunc23,cc2_eqrel_1,fc1_subset_1,idempotence_k1_funct_4,reflexivity_r1_tarski,dt_k1_funct_1,dt_k1_funct_4,dt_k2_relat_1,dt_k3_cqc_lang,dt_k3_enumset1,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t3_subset,e32_1_3__bvfunc23,e31_1_3__bvfunc23,d10_xboole_0]),
    [interesting(0.65),file(bvfunc23,e33_1_3__bvfunc23),[file(bvfunc23,e33_1_3__bvfunc23)]]).

fof(e2_1_3_7__bvfunc23,plain,
    ( r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23),k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))))
    & r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23),k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))))
    & r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))))
    & r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23),k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23))))
    & r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23),k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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_1__bvfunc23,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_k2_relat_1,dt_k3_cqc_lang,dt_k3_enumset1,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e33_1_3__bvfunc23,d3_enumset1]),
    [interesting(0.5),file(bvfunc23,e2_1_3_7__bvfunc23),[file(bvfunc23,e2_1_3_7__bvfunc23)]]).

fof(e26_1_3__bvfunc23,plain,(
    r2_hidden(k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23),k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[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_1__bvfunc23,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_k1_relat_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e25_1_3__bvfunc23,d5_funct_1]),
    [interesting(0.65),file(bvfunc23,e26_1_3__bvfunc23),[file(bvfunc23,e26_1_3__bvfunc23)]]).

fof(e36_1_3__bvfunc23,plain,(
    k8_setfam_1(c1_1__bvfunc23,c11_1_3__bvfunc23) = k1_setfam_1(k2_relat_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[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_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_c11_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,de_c11_1_3__bvfunc23,fc1_cqc_lang,fc1_subset_1,fc1_xboole_0,t1_subset,t3_subset,t4_subset,t6_boole,t7_boole,e26_1_3__bvfunc23,d10_setfam_1]),
    [interesting(0.65),file(bvfunc23,e36_1_3__bvfunc23),[file(bvfunc23,e36_1_3__bvfunc23)]]).

fof(e3_1_3_7__bvfunc23,plain,
    ( r2_hidden(c1_1_3_7__bvfunc23,c8_1_3__bvfunc23)
    & r2_hidden(c1_1_3_7__bvfunc23,c9_1_3__bvfunc23)
    & r2_hidden(c1_1_3_7__bvfunc23,c7_1_3__bvfunc23)
    & r2_hidden(c1_1_3_7__bvfunc23,c5_1_3__bvfunc23)
    & r2_hidden(c1_1_3_7__bvfunc23,c3_1_3__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3_7__bvfunc23])],[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,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_k8_setfam_1,dt_c11_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3_7__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,de_c11_1_3__bvfunc23,fc1_cqc_lang,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e2_1_3_7__bvfunc23,e19_1_3__bvfunc23,e20_1_3__bvfunc23,e21_1_3__bvfunc23,e22_1_3__bvfunc23,e23_1_3__bvfunc23,e36_1_3__bvfunc23,e1_1_3_7__bvfunc23,d1_setfam_1]),
    [interesting(0.5),file(bvfunc23,e3_1_3_7__bvfunc23),[file(bvfunc23,e3_1_3_7__bvfunc23)]]).

fof(e4_1_3_7__bvfunc23,plain,(
    r2_hidden(c1_1_3_7__bvfunc23,k3_xboole_0(c8_1_3__bvfunc23,c9_1_3__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3_7__bvfunc23])],[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_1_3_7__bvfunc23,dt_c3_1_3__bvfunc23,dt_c5_1_3__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,t1_subset,t7_boole,e3_1_3_7__bvfunc23,d3_xboole_0]),
    [interesting(0.5),file(bvfunc23,e4_1_3_7__bvfunc23),[file(bvfunc23,e4_1_3_7__bvfunc23)]]).

fof(e5_1_3_7__bvfunc23,plain,(
    r2_hidden(c1_1_3_7__bvfunc23,k3_xboole_0(k3_xboole_0(c8_1_3__bvfunc23,c9_1_3__bvfunc23),c7_1_3__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3_7__bvfunc23])],[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_1_3_7__bvfunc23,dt_c3_1_3__bvfunc23,dt_c5_1_3__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,t1_subset,t7_boole,e4_1_3_7__bvfunc23,e3_1_3_7__bvfunc23,d3_xboole_0]),
    [interesting(0.5),file(bvfunc23,e5_1_3_7__bvfunc23),[file(bvfunc23,e5_1_3_7__bvfunc23)]]).

fof(e6_1_3_7__bvfunc23,plain,(
    r2_hidden(c1_1_3_7__bvfunc23,k3_xboole_0(k3_xboole_0(k3_xboole_0(c8_1_3__bvfunc23,c9_1_3__bvfunc23),c7_1_3__bvfunc23),c5_1_3__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3_7__bvfunc23])],[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_1_3_7__bvfunc23,dt_c3_1_3__bvfunc23,dt_c5_1_3__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,t1_subset,t7_boole,e5_1_3_7__bvfunc23,e3_1_3_7__bvfunc23,d3_xboole_0]),
    [interesting(0.5),file(bvfunc23,e6_1_3_7__bvfunc23),[file(bvfunc23,e6_1_3_7__bvfunc23)]]).

fof(e7_1_3_7__bvfunc23,plain,(
    r2_hidden(c1_1_3_7__bvfunc23,c1_1_3__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_7__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3_7__bvfunc23])],[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_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c1_1_3_7__bvfunc23,dt_c2_1_3__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c4_1_3__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c6_1_3__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,t1_subset,t7_boole,e6_1_3_7__bvfunc23,e5_1_3__bvfunc23,e9_1_3__bvfunc23,e13_1_3__bvfunc23,e17_1_3__bvfunc23,e3_1_3_7__bvfunc23,d3_xboole_0]),
    [interesting(0.5),file(bvfunc23,e7_1_3_7__bvfunc23),[file(bvfunc23,e7_1_3_7__bvfunc23)]]).

fof(i3_1_3_7__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i3_1_3_7__bvfunc23)]),
    [interesting(0.5),trivial,file(bvfunc23,i3_1_3_7__bvfunc23)]).

fof(i2_1_3_7__bvfunc23,plain,(
    r2_hidden(c1_1_3_7__bvfunc23,c1_1_3__bvfunc23) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_7__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3_7__bvfunc23])],[e7_1_3_7__bvfunc23,i3_1_3_7__bvfunc23]),
    [interesting(0.5),file(bvfunc23,i2_1_3_7__bvfunc23),[file(bvfunc23,i2_1_3_7__bvfunc23)]]).

fof(i1_1_3_7__bvfunc23,plain,(
    ~ ( r2_hidden(c1_1_3_7__bvfunc23,k8_setfam_1(c1_1__bvfunc23,c11_1_3__bvfunc23))
      & ~ r2_hidden(c1_1_3_7__bvfunc23,c1_1_3__bvfunc23) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_7__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23]),discharge_asm(discharge,[e1_1_3_7__bvfunc23])],[e1_1_3_7__bvfunc23,i2_1_3_7__bvfunc23]),
    [interesting(0.5),file(bvfunc23,i1_1_3_7__bvfunc23),[file(bvfunc23,i1_1_3_7__bvfunc23)]]).

fof(i1_1_3_7_tmp__bvfunc23,plain,(
    ~ ( r2_hidden(c1_1_3_7__bvfunc23,k8_setfam_1(c1_1__bvfunc23,c11_1_3__bvfunc23))
      & ~ r2_hidden(c1_1_3_7__bvfunc23,c1_1_3__bvfunc23) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23]),discharge_asm(discharge,[dt_c1_1_3_7__bvfunc23])],[dt_c1_1_3_7__bvfunc23,i1_1_3_7__bvfunc23]),
    [interesting(0.65),e38_1_3__bvfunc23]).

fof(e38_1_3__bvfunc23,plain,(
    r1_tarski(k8_setfam_1(c1_1__bvfunc23,c11_1_3__bvfunc23),c1_1_3__bvfunc23) ),
    inference(let,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1_3__bvfunc23,e1_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[i1_1_3_7_tmp__bvfunc23,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_c11_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,d3_tarski,dh_c1_1_3_7__bvfunc23]),
    [interesting(0.65),file(bvfunc23,e38_1_3__bvfunc23),[file(bvfunc23,e38_1_3__bvfunc23)]]).

fof(dt_c1_1_3_6__bvfunc23,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc23,c1_1_3_6__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,c1_1_3_6__bvfunc23)]).

fof(dh_c1_1_3_6__bvfunc23,definition,
    ( ~ ( r2_hidden(c1_1_3_6__bvfunc23,c1_1_3__bvfunc23)
        & ~ r2_hidden(c1_1_3_6__bvfunc23,k8_setfam_1(c1_1__bvfunc23,c11_1_3__bvfunc23)) )
   => ! [A] : 
        ~ ( r2_hidden(A,c1_1_3__bvfunc23)
          & ~ r2_hidden(A,k8_setfam_1(c1_1__bvfunc23,c11_1_3__bvfunc23)) ) ),
    introduced(definition,[new_symbol(c1_1_3_6__bvfunc23),file(bvfunc23,c1_1_3_6__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,c1_1_3_6__bvfunc23)]).

fof(e1_1_3_6__bvfunc23,assumption,(
    r2_hidden(c1_1_3_6__bvfunc23,c1_1_3__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_3_6__bvfunc23)]),
    [interesting(0.5),axiom,file(bvfunc23,e1_1_3_6__bvfunc23)]).

fof(dh_c1_1_3_6_1__bvfunc23,definition,
    ( ( r2_hidden(c1_1_3_6_1__bvfunc23,c11_1_3__bvfunc23)
     => r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) )
   => ! [A] : 
        ( r2_hidden(A,c11_1_3__bvfunc23)
       => r2_hidden(c1_1_3_6__bvfunc23,A) ) ),
    introduced(definition,[new_symbol(c1_1_3_6_1__bvfunc23),file(bvfunc23,c1_1_3_6_1__bvfunc23)]),
    [interesting(0.35),axiom,file(bvfunc23,c1_1_3_6_1__bvfunc23)]).

fof(e1_1_3_6_1__bvfunc23,assumption,(
    r2_hidden(c1_1_3_6_1__bvfunc23,c11_1_3__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_3_6_1__bvfunc23)]),
    [interesting(0.35),axiom,file(bvfunc23,e1_1_3_6_1__bvfunc23)]).

fof(dt_c1_1_3_6_1__bvfunc23,assumption,(
    $true ),
    introduced(assumption,[file(bvfunc23,c1_1_3_6_1__bvfunc23)]),
    [interesting(0.35),axiom,file(bvfunc23,c1_1_3_6_1__bvfunc23)]).

fof(e1_1_3_6_1_1_1_1__bvfunc23,assumption,(
    c1_1_3_6_1__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_3_6_1_1_1_1__bvfunc23)]),
    [interesting(0.02),axiom,file(bvfunc23,e1_1_3_6_1_1_1_1__bvfunc23)]).

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(e3_1_3_6_1_1_1_1__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,k3_xboole_0(k3_xboole_0(c7_1_3__bvfunc23,k3_xboole_0(k3_xboole_0(c8_1_3__bvfunc23,c9_1_3__bvfunc23),c5_1_3__bvfunc23)),c3_1_3__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6__bvfunc23])],[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_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c1_1_3_6__bvfunc23,dt_c2_1_3__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c4_1_3__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c6_1_3__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,t1_subset,t7_boole,e5_1_3__bvfunc23,e9_1_3__bvfunc23,e13_1_3__bvfunc23,e17_1_3__bvfunc23,e1_1_3_6__bvfunc23,t16_xboole_1]),
    [interesting(0.02),file(bvfunc23,e3_1_3_6_1_1_1_1__bvfunc23),[file(bvfunc23,e3_1_3_6_1_1_1_1__bvfunc23)]]).

fof(e4_1_3_6_1_1_1_1__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,k3_xboole_0(c7_1_3__bvfunc23,k3_xboole_0(k3_xboole_0(k3_xboole_0(c8_1_3__bvfunc23,c9_1_3__bvfunc23),c5_1_3__bvfunc23),c3_1_3__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6__bvfunc23])],[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_1_3_6__bvfunc23,dt_c3_1_3__bvfunc23,dt_c5_1_3__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,t1_subset,t7_boole,e3_1_3_6_1_1_1_1__bvfunc23,t16_xboole_1]),
    [interesting(0.02),file(bvfunc23,e4_1_3_6_1_1_1_1__bvfunc23),[file(bvfunc23,e4_1_3_6_1_1_1_1__bvfunc23)]]).

fof(e2_1_3_6_1_1_1_1__bvfunc23,plain,(
    c1_1_3_6_1__bvfunc23 = c7_1_3__bvfunc23 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6_1_1_1_1__bvfunc23,e1_1__bvfunc23])],[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_1__bvfunc23,cc2_eqrel_1,fc1_subset_1,t3_subset,idempotence_k1_funct_4,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k4_enumset1,dt_c1_1_3_6_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,e1_1_3_6_1_1_1_1__bvfunc23,e1_1__bvfunc23,t29_bvfunc14]),
    [interesting(0.02),file(bvfunc23,e2_1_3_6_1_1_1_1__bvfunc23),[file(bvfunc23,e2_1_3_6_1_1_1_1__bvfunc23)]]).

fof(e5_1_3_6_1_1_1_1__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,e1_1_3_6__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6_1_1_1_1__bvfunc23,e1_1__bvfunc23])],[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_1_3_6__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c5_1_3__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,t1_subset,t7_boole,e4_1_3_6_1_1_1_1__bvfunc23,e2_1_3_6_1_1_1_1__bvfunc23,d3_xboole_0]),
    [interesting(0.02),file(bvfunc23,e5_1_3_6_1_1_1_1__bvfunc23),[file(bvfunc23,e5_1_3_6_1_1_1_1__bvfunc23)]]).

fof(i2_1_3_6_1_1_1_1__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_6_1_1_1_1__bvfunc23)]),
    [interesting(0.02),trivial,file(bvfunc23,i2_1_3_6_1_1_1_1__bvfunc23)]).

fof(i1_1_3_6_1_1_1_1__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,e1_1_3_6__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6_1_1_1_1__bvfunc23,e1_1__bvfunc23])],[e5_1_3_6_1_1_1_1__bvfunc23,i2_1_3_6_1_1_1_1__bvfunc23]),
    [interesting(0.02),file(bvfunc23,i1_1_3_6_1_1_1_1__bvfunc23),[file(bvfunc23,i1_1_3_6_1_1_1_1__bvfunc23)]]).

fof(i1_1_3_6_1_1_1__bvfunc23,plain,
    ( c1_1_3_6_1__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23)
   => ( c1_1_3_6_1__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23)
      & r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,e1_1_3_6__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23]),discharge_asm(discharge,[e1_1_3_6_1_1_1_1__bvfunc23])],[e1_1_3_6_1_1_1_1__bvfunc23,i1_1_3_6_1_1_1_1__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i1_1_3_6_1_1_1__bvfunc23),[file(bvfunc23,i1_1_3_6_1_1_1__bvfunc23)]]).

fof(e1_1_3_6_1_1_1_2__bvfunc23,assumption,(
    c1_1_3_6_1__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_3_6_1_1_1_2__bvfunc23)]),
    [interesting(0.02),axiom,file(bvfunc23,e1_1_3_6_1_1_1_2__bvfunc23)]).

fof(e3_1_3_6_1_1_1_2__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,k3_xboole_0(k3_xboole_0(k3_xboole_0(c9_1_3__bvfunc23,k3_xboole_0(c7_1_3__bvfunc23,c8_1_3__bvfunc23)),c5_1_3__bvfunc23),c3_1_3__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6__bvfunc23])],[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_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c1_1_3_6__bvfunc23,dt_c2_1_3__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c4_1_3__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c6_1_3__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,t1_subset,t7_boole,e5_1_3__bvfunc23,e9_1_3__bvfunc23,e13_1_3__bvfunc23,e17_1_3__bvfunc23,e1_1_3_6__bvfunc23,t16_xboole_1]),
    [interesting(0.02),file(bvfunc23,e3_1_3_6_1_1_1_2__bvfunc23),[file(bvfunc23,e3_1_3_6_1_1_1_2__bvfunc23)]]).

fof(e4_1_3_6_1_1_1_2__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,k3_xboole_0(k3_xboole_0(c9_1_3__bvfunc23,k3_xboole_0(k3_xboole_0(c7_1_3__bvfunc23,c8_1_3__bvfunc23),c5_1_3__bvfunc23)),c3_1_3__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6__bvfunc23])],[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_1_3_6__bvfunc23,dt_c3_1_3__bvfunc23,dt_c5_1_3__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,t1_subset,t7_boole,e3_1_3_6_1_1_1_2__bvfunc23,t16_xboole_1]),
    [interesting(0.02),file(bvfunc23,e4_1_3_6_1_1_1_2__bvfunc23),[file(bvfunc23,e4_1_3_6_1_1_1_2__bvfunc23)]]).

fof(e5_1_3_6_1_1_1_2__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,k3_xboole_0(k3_xboole_0(c9_1_3__bvfunc23,k3_xboole_0(k3_xboole_0(c7_1_3__bvfunc23,c5_1_3__bvfunc23),c8_1_3__bvfunc23)),c3_1_3__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6__bvfunc23])],[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_1_3_6__bvfunc23,dt_c3_1_3__bvfunc23,dt_c5_1_3__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,t1_subset,t7_boole,e4_1_3_6_1_1_1_2__bvfunc23,t16_xboole_1]),
    [interesting(0.02),file(bvfunc23,e5_1_3_6_1_1_1_2__bvfunc23),[file(bvfunc23,e5_1_3_6_1_1_1_2__bvfunc23)]]).

fof(e6_1_3_6_1_1_1_2__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,k3_xboole_0(c9_1_3__bvfunc23,k3_xboole_0(k3_xboole_0(k3_xboole_0(c7_1_3__bvfunc23,c5_1_3__bvfunc23),c8_1_3__bvfunc23),c3_1_3__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6__bvfunc23])],[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_1_3_6__bvfunc23,dt_c3_1_3__bvfunc23,dt_c5_1_3__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,t1_subset,t7_boole,e5_1_3_6_1_1_1_2__bvfunc23,t16_xboole_1]),
    [interesting(0.02),file(bvfunc23,e6_1_3_6_1_1_1_2__bvfunc23),[file(bvfunc23,e6_1_3_6_1_1_1_2__bvfunc23)]]).

fof(e7_1_3_6_1_1_1_2__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,k3_xboole_0(c9_1_3__bvfunc23,k3_xboole_0(k3_xboole_0(c7_1_3__bvfunc23,c5_1_3__bvfunc23),k3_xboole_0(c3_1_3__bvfunc23,c8_1_3__bvfunc23)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6__bvfunc23])],[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_1_3_6__bvfunc23,dt_c3_1_3__bvfunc23,dt_c5_1_3__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,t1_subset,t7_boole,e6_1_3_6_1_1_1_2__bvfunc23,t16_xboole_1]),
    [interesting(0.02),file(bvfunc23,e7_1_3_6_1_1_1_2__bvfunc23),[file(bvfunc23,e7_1_3_6_1_1_1_2__bvfunc23)]]).

fof(e8_1_3_6_1_1_1_2__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,k3_xboole_0(k3_xboole_0(c9_1_3__bvfunc23,k3_xboole_0(c7_1_3__bvfunc23,c5_1_3__bvfunc23)),k3_xboole_0(c3_1_3__bvfunc23,c8_1_3__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6__bvfunc23])],[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_1_3_6__bvfunc23,dt_c3_1_3__bvfunc23,dt_c5_1_3__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,t1_subset,t7_boole,e7_1_3_6_1_1_1_2__bvfunc23,t16_xboole_1]),
    [interesting(0.02),file(bvfunc23,e8_1_3_6_1_1_1_2__bvfunc23),[file(bvfunc23,e8_1_3_6_1_1_1_2__bvfunc23)]]).

fof(e9_1_3_6_1_1_1_2__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,k3_xboole_0(k3_xboole_0(k3_xboole_0(c9_1_3__bvfunc23,k3_xboole_0(c7_1_3__bvfunc23,c5_1_3__bvfunc23)),c3_1_3__bvfunc23),c8_1_3__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6__bvfunc23])],[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_1_3_6__bvfunc23,dt_c3_1_3__bvfunc23,dt_c5_1_3__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,t1_subset,t7_boole,e8_1_3_6_1_1_1_2__bvfunc23,t16_xboole_1]),
    [interesting(0.02),file(bvfunc23,e9_1_3_6_1_1_1_2__bvfunc23),[file(bvfunc23,e9_1_3_6_1_1_1_2__bvfunc23)]]).

fof(e2_1_3_6_1_1_1_2__bvfunc23,plain,(
    c1_1_3_6_1__bvfunc23 = c8_1_3__bvfunc23 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6_1_1_1_2__bvfunc23,e1_1__bvfunc23])],[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_1__bvfunc23,cc2_eqrel_1,fc1_subset_1,t3_subset,idempotence_k1_funct_4,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k4_enumset1,dt_c1_1_3_6_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,e1_1_3_6_1_1_1_2__bvfunc23,e1_1__bvfunc23,t29_bvfunc14]),
    [interesting(0.02),file(bvfunc23,e2_1_3_6_1_1_1_2__bvfunc23),[file(bvfunc23,e2_1_3_6_1_1_1_2__bvfunc23)]]).

fof(e10_1_3_6_1_1_1_2__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,e1_1_3_6__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6_1_1_1_2__bvfunc23,e1_1__bvfunc23])],[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_1_3_6__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c5_1_3__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,t1_subset,t7_boole,e9_1_3_6_1_1_1_2__bvfunc23,e2_1_3_6_1_1_1_2__bvfunc23,d3_xboole_0]),
    [interesting(0.02),file(bvfunc23,e10_1_3_6_1_1_1_2__bvfunc23),[file(bvfunc23,e10_1_3_6_1_1_1_2__bvfunc23)]]).

fof(i2_1_3_6_1_1_1_2__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_6_1_1_1_2__bvfunc23)]),
    [interesting(0.02),trivial,file(bvfunc23,i2_1_3_6_1_1_1_2__bvfunc23)]).

fof(i1_1_3_6_1_1_1_2__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,e1_1_3_6__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6_1_1_1_2__bvfunc23,e1_1__bvfunc23])],[e10_1_3_6_1_1_1_2__bvfunc23,i2_1_3_6_1_1_1_2__bvfunc23]),
    [interesting(0.02),file(bvfunc23,i1_1_3_6_1_1_1_2__bvfunc23),[file(bvfunc23,i1_1_3_6_1_1_1_2__bvfunc23)]]).

fof(i2_1_3_6_1_1_1__bvfunc23,plain,
    ( c1_1_3_6_1__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23)
   => ( c1_1_3_6_1__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23)
      & r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,e1_1_3_6__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23]),discharge_asm(discharge,[e1_1_3_6_1_1_1_2__bvfunc23])],[e1_1_3_6_1_1_1_2__bvfunc23,i1_1_3_6_1_1_1_2__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i2_1_3_6_1_1_1__bvfunc23),[file(bvfunc23,i2_1_3_6_1_1_1__bvfunc23)]]).

fof(e1_1_3_6_1_1_1_3__bvfunc23,assumption,(
    c1_1_3_6_1__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_3_6_1_1_1_3__bvfunc23)]),
    [interesting(0.02),axiom,file(bvfunc23,e1_1_3_6_1_1_1_3__bvfunc23)]).

fof(e3_1_3_6_1_1_1_3__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,k3_xboole_0(k3_xboole_0(k3_xboole_0(c9_1_3__bvfunc23,k3_xboole_0(c8_1_3__bvfunc23,c7_1_3__bvfunc23)),c5_1_3__bvfunc23),c3_1_3__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6__bvfunc23])],[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_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c1_1_3_6__bvfunc23,dt_c2_1_3__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c4_1_3__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c6_1_3__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,t1_subset,t7_boole,e5_1_3__bvfunc23,e9_1_3__bvfunc23,e13_1_3__bvfunc23,e17_1_3__bvfunc23,e1_1_3_6__bvfunc23,t16_xboole_1]),
    [interesting(0.02),file(bvfunc23,e3_1_3_6_1_1_1_3__bvfunc23),[file(bvfunc23,e3_1_3_6_1_1_1_3__bvfunc23)]]).

fof(e4_1_3_6_1_1_1_3__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,k3_xboole_0(k3_xboole_0(c9_1_3__bvfunc23,k3_xboole_0(k3_xboole_0(c8_1_3__bvfunc23,c7_1_3__bvfunc23),c5_1_3__bvfunc23)),c3_1_3__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6__bvfunc23])],[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_1_3_6__bvfunc23,dt_c3_1_3__bvfunc23,dt_c5_1_3__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,t1_subset,t7_boole,e3_1_3_6_1_1_1_3__bvfunc23,t16_xboole_1]),
    [interesting(0.02),file(bvfunc23,e4_1_3_6_1_1_1_3__bvfunc23),[file(bvfunc23,e4_1_3_6_1_1_1_3__bvfunc23)]]).

fof(e5_1_3_6_1_1_1_3__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,k3_xboole_0(c9_1_3__bvfunc23,k3_xboole_0(k3_xboole_0(k3_xboole_0(c8_1_3__bvfunc23,c7_1_3__bvfunc23),c5_1_3__bvfunc23),c3_1_3__bvfunc23))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6__bvfunc23])],[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_1_3_6__bvfunc23,dt_c3_1_3__bvfunc23,dt_c5_1_3__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,t1_subset,t7_boole,e4_1_3_6_1_1_1_3__bvfunc23,t16_xboole_1]),
    [interesting(0.02),file(bvfunc23,e5_1_3_6_1_1_1_3__bvfunc23),[file(bvfunc23,e5_1_3_6_1_1_1_3__bvfunc23)]]).

fof(e2_1_3_6_1_1_1_3__bvfunc23,plain,(
    c1_1_3_6_1__bvfunc23 = c9_1_3__bvfunc23 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6_1_1_1_3__bvfunc23,e1_1__bvfunc23])],[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_1__bvfunc23,cc2_eqrel_1,fc1_subset_1,t3_subset,idempotence_k1_funct_4,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k4_enumset1,dt_c1_1_3_6_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,e1_1_3_6_1_1_1_3__bvfunc23,e1_1__bvfunc23,t29_bvfunc14]),
    [interesting(0.02),file(bvfunc23,e2_1_3_6_1_1_1_3__bvfunc23),[file(bvfunc23,e2_1_3_6_1_1_1_3__bvfunc23)]]).

fof(e6_1_3_6_1_1_1_3__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,e1_1_3_6__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6_1_1_1_3__bvfunc23,e1_1__bvfunc23])],[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_1_3_6__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c5_1_3__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,t1_subset,t7_boole,e5_1_3_6_1_1_1_3__bvfunc23,e2_1_3_6_1_1_1_3__bvfunc23,d3_xboole_0]),
    [interesting(0.02),file(bvfunc23,e6_1_3_6_1_1_1_3__bvfunc23),[file(bvfunc23,e6_1_3_6_1_1_1_3__bvfunc23)]]).

fof(i2_1_3_6_1_1_1_3__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_6_1_1_1_3__bvfunc23)]),
    [interesting(0.02),trivial,file(bvfunc23,i2_1_3_6_1_1_1_3__bvfunc23)]).

fof(i1_1_3_6_1_1_1_3__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,e1_1_3_6__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6_1_1_1_3__bvfunc23,e1_1__bvfunc23])],[e6_1_3_6_1_1_1_3__bvfunc23,i2_1_3_6_1_1_1_3__bvfunc23]),
    [interesting(0.02),file(bvfunc23,i1_1_3_6_1_1_1_3__bvfunc23),[file(bvfunc23,i1_1_3_6_1_1_1_3__bvfunc23)]]).

fof(i3_1_3_6_1_1_1__bvfunc23,plain,
    ( c1_1_3_6_1__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23)
   => ( c1_1_3_6_1__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23)
      & r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,e1_1_3_6__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23]),discharge_asm(discharge,[e1_1_3_6_1_1_1_3__bvfunc23])],[e1_1_3_6_1_1_1_3__bvfunc23,i1_1_3_6_1_1_1_3__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i3_1_3_6_1_1_1__bvfunc23),[file(bvfunc23,i3_1_3_6_1_1_1__bvfunc23)]]).

fof(e1_1_3_6_1_1_1_4__bvfunc23,assumption,(
    c1_1_3_6_1__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_3_6_1_1_1_4__bvfunc23)]),
    [interesting(0.02),axiom,file(bvfunc23,e1_1_3_6_1_1_1_4__bvfunc23)]).

fof(e3_1_3_6_1_1_1_4__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,k3_xboole_0(k3_xboole_0(k3_xboole_0(k3_xboole_0(c8_1_3__bvfunc23,c9_1_3__bvfunc23),c7_1_3__bvfunc23),c3_1_3__bvfunc23),c5_1_3__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6__bvfunc23])],[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_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c1_1_3_6__bvfunc23,dt_c2_1_3__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c4_1_3__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c6_1_3__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,t1_subset,t7_boole,e5_1_3__bvfunc23,e9_1_3__bvfunc23,e13_1_3__bvfunc23,e17_1_3__bvfunc23,e1_1_3_6__bvfunc23,t16_xboole_1]),
    [interesting(0.02),file(bvfunc23,e3_1_3_6_1_1_1_4__bvfunc23),[file(bvfunc23,e3_1_3_6_1_1_1_4__bvfunc23)]]).

fof(e2_1_3_6_1_1_1_4__bvfunc23,plain,(
    c1_1_3_6_1__bvfunc23 = c5_1_3__bvfunc23 ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6_1_1_1_4__bvfunc23,e1_1__bvfunc23])],[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_1__bvfunc23,cc2_eqrel_1,fc1_subset_1,t3_subset,idempotence_k1_funct_4,dt_k1_funct_1,dt_k1_funct_4,dt_k3_cqc_lang,dt_k4_enumset1,dt_c1_1_3_6_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,e1_1_3_6_1_1_1_4__bvfunc23,e1_1__bvfunc23,t29_bvfunc14]),
    [interesting(0.02),file(bvfunc23,e2_1_3_6_1_1_1_4__bvfunc23),[file(bvfunc23,e2_1_3_6_1_1_1_4__bvfunc23)]]).

fof(e4_1_3_6_1_1_1_4__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,e1_1_3_6__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6_1_1_1_4__bvfunc23,e1_1__bvfunc23])],[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_1_3_6__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c5_1_3__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,t1_subset,t7_boole,e3_1_3_6_1_1_1_4__bvfunc23,e2_1_3_6_1_1_1_4__bvfunc23,d3_xboole_0]),
    [interesting(0.02),file(bvfunc23,e4_1_3_6_1_1_1_4__bvfunc23),[file(bvfunc23,e4_1_3_6_1_1_1_4__bvfunc23)]]).

fof(i2_1_3_6_1_1_1_4__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_6_1_1_1_4__bvfunc23)]),
    [interesting(0.02),trivial,file(bvfunc23,i2_1_3_6_1_1_1_4__bvfunc23)]).

fof(i1_1_3_6_1_1_1_4__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,e1_1_3_6__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6_1_1_1_4__bvfunc23,e1_1__bvfunc23])],[e4_1_3_6_1_1_1_4__bvfunc23,i2_1_3_6_1_1_1_4__bvfunc23]),
    [interesting(0.02),file(bvfunc23,i1_1_3_6_1_1_1_4__bvfunc23),[file(bvfunc23,i1_1_3_6_1_1_1_4__bvfunc23)]]).

fof(i4_1_3_6_1_1_1__bvfunc23,plain,
    ( c1_1_3_6_1__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23)
   => ( c1_1_3_6_1__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23)
      & r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,e1_1_3_6__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23]),discharge_asm(discharge,[e1_1_3_6_1_1_1_4__bvfunc23])],[e1_1_3_6_1_1_1_4__bvfunc23,i1_1_3_6_1_1_1_4__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i4_1_3_6_1_1_1__bvfunc23),[file(bvfunc23,i4_1_3_6_1_1_1__bvfunc23)]]).

fof(e1_1_3_6_1_1_1_5__bvfunc23,assumption,(
    c1_1_3_6_1__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23) ),
    introduced(assumption,[file(bvfunc23,e1_1_3_6_1_1_1_5__bvfunc23)]),
    [interesting(0.02),axiom,file(bvfunc23,e1_1_3_6_1_1_1_5__bvfunc23)]).

fof(e2_1_3_6_1_1_1_5__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,dt_c1_1_3_6_1__bvfunc23,e1_1_3_6_1_1_1_5__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23,e1_1_3_6__bvfunc23])],[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_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c1_1_3_6__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c2_1_3__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e1_1_3_6_1_1_1_5__bvfunc23,e5_1_3__bvfunc23,e23_1_3__bvfunc23,e1_1_3_6__bvfunc23,d3_xboole_0]),
    [interesting(0.02),file(bvfunc23,e2_1_3_6_1_1_1_5__bvfunc23),[file(bvfunc23,e2_1_3_6_1_1_1_5__bvfunc23)]]).

fof(i2_1_3_6_1_1_1_5__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i2_1_3_6_1_1_1_5__bvfunc23)]),
    [interesting(0.02),trivial,file(bvfunc23,i2_1_3_6_1_1_1_5__bvfunc23)]).

fof(i1_1_3_6_1_1_1_5__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,dt_c1_1_3_6_1__bvfunc23,e1_1_3_6_1_1_1_5__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23,e1_1_3_6__bvfunc23])],[e2_1_3_6_1_1_1_5__bvfunc23,i2_1_3_6_1_1_1_5__bvfunc23]),
    [interesting(0.02),file(bvfunc23,i1_1_3_6_1_1_1_5__bvfunc23),[file(bvfunc23,i1_1_3_6_1_1_1_5__bvfunc23)]]).

fof(i5_1_3_6_1_1_1__bvfunc23,plain,
    ( c1_1_3_6_1__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23)
   => ( c1_1_3_6_1__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23)
      & r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1__bvfunc23,e1_1_3_6__bvfunc23]),discharge_asm(discharge,[e1_1_3_6_1_1_1_5__bvfunc23])],[e1_1_3_6_1_1_1_5__bvfunc23,i1_1_3_6_1_1_1_5__bvfunc23]),
    [interesting(0.05),file(bvfunc23,i5_1_3_6_1_1_1__bvfunc23),[file(bvfunc23,i5_1_3_6_1_1_1__bvfunc23)]]).

fof(e1_1_3_6_1_1_1__bvfunc23,plain,(
    ~ ( c1_1_3_6_1__bvfunc23 != k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23)
      & c1_1_3_6_1__bvfunc23 != k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23)
      & c1_1_3_6_1__bvfunc23 != k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23)
      & c1_1_3_6_1__bvfunc23 != k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23)
      & c1_1_3_6_1__bvfunc23 != k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23) ) ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6_1__bvfunc23])],[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_1__bvfunc23,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,idempotence_k1_funct_4,reflexivity_r1_tarski,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k2_relat_1,dt_k3_cqc_lang,dt_k3_enumset1,dt_c11_1_3__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,de_c11_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t3_subset,t7_boole,e31_1_3__bvfunc23,e1_1_3_6_1__bvfunc23,d3_enumset1]),
    [interesting(0.05),file(bvfunc23,e1_1_3_6_1_1_1__bvfunc23),[file(bvfunc23,e1_1_3_6_1_1_1__bvfunc23)]]).

fof(e2_1_3_6_1__bvfunc23,plain,(
    ~ ( ~ ( c1_1_3_6_1__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c6_1__bvfunc23)
          & r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) )
      & ~ ( c1_1_3_6_1__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c4_1__bvfunc23)
          & r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) )
      & ~ ( c1_1_3_6_1__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c5_1__bvfunc23)
          & r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) )
      & ~ ( c1_1_3_6_1__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c7_1__bvfunc23)
          & r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) )
      & ~ ( c1_1_3_6_1__bvfunc23 = k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(k1_funct_4(k3_cqc_lang(c4_1__bvfunc23,c8_1_3__bvfunc23),k3_cqc_lang(c5_1__bvfunc23,c9_1_3__bvfunc23)),k3_cqc_lang(c6_1__bvfunc23,c7_1_3__bvfunc23)),k3_cqc_lang(c7_1__bvfunc23,c5_1_3__bvfunc23)),k3_cqc_lang(c8_1__bvfunc23,c3_1_3__bvfunc23)),c8_1__bvfunc23)
          & r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) ) ) ),
    inference(percases,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,e1_1_3_6__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6_1__bvfunc23])],[i1_1_3_6_1_1_1__bvfunc23,i2_1_3_6_1_1_1__bvfunc23,i3_1_3_6_1_1_1__bvfunc23,i4_1_3_6_1_1_1__bvfunc23,i5_1_3_6_1_1_1__bvfunc23,e1_1_3_6_1_1_1__bvfunc23]),
    [interesting(0.35),file(bvfunc23,e2_1_3_6_1__bvfunc23),[file(bvfunc23,e2_1_3_6_1__bvfunc23)]]).

fof(e3_1_3_6_1__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,e1_1_3_6__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6_1__bvfunc23])],[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_1__bvfunc23,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_1_3_6__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,t1_subset,t7_boole,e2_1_3_6_1__bvfunc23]),
    [interesting(0.35),file(bvfunc23,e3_1_3_6_1__bvfunc23),[file(bvfunc23,e3_1_3_6_1__bvfunc23)]]).

fof(i3_1_3_6_1__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i3_1_3_6_1__bvfunc23)]),
    [interesting(0.35),trivial,file(bvfunc23,i3_1_3_6_1__bvfunc23)]).

fof(i2_1_3_6_1__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,e1_1_3_6__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23,e1_1_3_6_1__bvfunc23])],[e3_1_3_6_1__bvfunc23,i3_1_3_6_1__bvfunc23]),
    [interesting(0.35),file(bvfunc23,i2_1_3_6_1__bvfunc23),[file(bvfunc23,i2_1_3_6_1__bvfunc23)]]).

fof(i1_1_3_6_1__bvfunc23,plain,
    ( r2_hidden(c1_1_3_6_1__bvfunc23,c11_1_3__bvfunc23)
   => r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,e1_1_3_6__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1_3_6_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23]),discharge_asm(discharge,[e1_1_3_6_1__bvfunc23])],[e1_1_3_6_1__bvfunc23,i2_1_3_6_1__bvfunc23]),
    [interesting(0.35),file(bvfunc23,i1_1_3_6_1__bvfunc23),[file(bvfunc23,i1_1_3_6_1__bvfunc23)]]).

fof(i1_1_3_6_1_tmp__bvfunc23,plain,
    ( r2_hidden(c1_1_3_6_1__bvfunc23,c11_1_3__bvfunc23)
   => r2_hidden(c1_1_3_6__bvfunc23,c1_1_3_6_1__bvfunc23) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,e1_1_3_6__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23]),discharge_asm(discharge,[dt_c1_1_3_6_1__bvfunc23])],[dt_c1_1_3_6_1__bvfunc23,i1_1_3_6_1__bvfunc23]),
    [interesting(0.5),e3_1_3_6__bvfunc23]).

fof(e3_1_3_6__bvfunc23,plain,(
    ! [A] : 
      ( r2_hidden(A,c11_1_3__bvfunc23)
     => r2_hidden(c1_1_3_6__bvfunc23,A) ) ),
    inference(let,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,e1_1_3_6__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[i1_1_3_6_1_tmp__bvfunc23,dh_c1_1_3_6_1__bvfunc23]),
    [interesting(0.5),file(bvfunc23,e3_1_3_6__bvfunc23),[file(bvfunc23,e3_1_3_6__bvfunc23)]]).

fof(e2_1_3_6__bvfunc23,plain,(
    c11_1_3__bvfunc23 != k1_xboole_0 ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[reflexivity_r1_tarski,existence_m1_eqrel_1,existence_m1_subset_1,dt_k1_zfmisc_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c1_1__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,t4_subset,t5_subset,t8_boole,idempotence_k1_funct_4,antisymmetry_r2_hidden,dt_k1_funct_1,dt_k1_funct_4,dt_k1_xboole_0,dt_k2_relat_1,dt_k3_cqc_lang,dt_k3_enumset1,dt_c11_1_3__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,de_c11_1_3__bvfunc23,fc1_cqc_lang,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e33_1_3__bvfunc23,d3_enumset1]),
    [interesting(0.5),file(bvfunc23,e2_1_3_6__bvfunc23),[file(bvfunc23,e2_1_3_6__bvfunc23)]]).

fof(e4_1_3_6__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,k6_setfam_1(c1_1__bvfunc23,c11_1_3__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,e1_1_3_6__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[reflexivity_r1_tarski,existence_m1_eqrel_1,dt_m1_eqrel_1,cc1_eqrel_1,cc2_eqrel_1,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_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,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,redefinition_k6_setfam_1,dt_k1_setfam_1,dt_k1_xboole_0,dt_k6_setfam_1,dt_c11_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3_6__bvfunc23,de_c11_1_3__bvfunc23,fc1_xboole_0,t1_subset,t6_boole,t7_boole,e3_1_3_6__bvfunc23,e2_1_3_6__bvfunc23,d1_setfam_1]),
    [interesting(0.5),file(bvfunc23,e4_1_3_6__bvfunc23),[file(bvfunc23,e4_1_3_6__bvfunc23)]]).

fof(e5_1_3_6__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,k8_setfam_1(c1_1__bvfunc23,c11_1_3__bvfunc23)) ),
    inference(mizar_by,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,e1_1_3_6__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[existence_m1_eqrel_1,dt_m1_eqrel_1,cc1_eqrel_1,cc2_eqrel_1,idempotence_k1_funct_4,reflexivity_r1_tarski,dt_k1_funct_4,dt_k1_setfam_1,dt_k2_relat_1,dt_k3_cqc_lang,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,fc1_cqc_lang,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_xboole_0,dt_k1_zfmisc_1,dt_k6_setfam_1,dt_k8_setfam_1,dt_m1_subset_1,dt_c11_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3_6__bvfunc23,de_c11_1_3__bvfunc23,fc1_subset_1,fc1_xboole_0,t1_subset,t3_subset,t4_subset,t6_boole,t7_boole,e4_1_3_6__bvfunc23,e2_1_3_6__bvfunc23,d10_setfam_1]),
    [interesting(0.5),file(bvfunc23,e5_1_3_6__bvfunc23),[file(bvfunc23,e5_1_3_6__bvfunc23)]]).

fof(i3_1_3_6__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i3_1_3_6__bvfunc23)]),
    [interesting(0.5),trivial,file(bvfunc23,i3_1_3_6__bvfunc23)]).

fof(i2_1_3_6__bvfunc23,plain,(
    r2_hidden(c1_1_3_6__bvfunc23,k8_setfam_1(c1_1__bvfunc23,c11_1_3__bvfunc23)) ),
    inference(conclusion,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,e1_1_3_6__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[e5_1_3_6__bvfunc23,i3_1_3_6__bvfunc23]),
    [interesting(0.5),file(bvfunc23,i2_1_3_6__bvfunc23),[file(bvfunc23,i2_1_3_6__bvfunc23)]]).

fof(i1_1_3_6__bvfunc23,plain,(
    ~ ( r2_hidden(c1_1_3_6__bvfunc23,c1_1_3__bvfunc23)
      & ~ r2_hidden(c1_1_3_6__bvfunc23,k8_setfam_1(c1_1__bvfunc23,c11_1_3__bvfunc23)) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c1_1_3_6__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23]),discharge_asm(discharge,[e1_1_3_6__bvfunc23])],[e1_1_3_6__bvfunc23,i2_1_3_6__bvfunc23]),
    [interesting(0.5),file(bvfunc23,i1_1_3_6__bvfunc23),[file(bvfunc23,i1_1_3_6__bvfunc23)]]).

fof(i1_1_3_6_tmp__bvfunc23,plain,(
    ~ ( r2_hidden(c1_1_3_6__bvfunc23,c1_1_3__bvfunc23)
      & ~ r2_hidden(c1_1_3_6__bvfunc23,k8_setfam_1(c1_1__bvfunc23,c11_1_3__bvfunc23)) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23]),discharge_asm(discharge,[dt_c1_1_3_6__bvfunc23])],[dt_c1_1_3_6__bvfunc23,i1_1_3_6__bvfunc23]),
    [interesting(0.65),e37_1_3__bvfunc23]).

fof(e37_1_3__bvfunc23,plain,(
    r1_tarski(c1_1_3__bvfunc23,k8_setfam_1(c1_1__bvfunc23,c11_1_3__bvfunc23)) ),
    inference(let,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[i1_1_3_6_tmp__bvfunc23,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_c11_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,d3_tarski,dh_c1_1_3_6__bvfunc23]),
    [interesting(0.65),file(bvfunc23,e37_1_3__bvfunc23),[file(bvfunc23,e37_1_3__bvfunc23)]]).

fof(e39_1_3__bvfunc23,plain,(
    c1_1_3__bvfunc23 = k8_setfam_1(c1_1__bvfunc23,c11_1_3__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[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_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,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_c11_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,de_c11_1_3__bvfunc23,t3_subset,e38_1_3__bvfunc23,e37_1_3__bvfunc23,d10_xboole_0]),
    [interesting(0.65),file(bvfunc23,e39_1_3__bvfunc23),[file(bvfunc23,e39_1_3__bvfunc23)]]).

fof(e41_1_3__bvfunc23,plain,(
    r2_hidden(c1_1_3__bvfunc23,k2_bvfunc_2(c1_1__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))) ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[reflexivity_r1_tarski,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_m1_t_1topsp,fc2_subset_1,idempotence_k1_funct_4,commutativity_k2_xboole_0,idempotence_k2_xboole_0,antisymmetry_r2_hidden,existence_m1_eqrel_1,existence_m1_subset_1,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,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_k2_xboole_0,dt_k3_cqc_lang,dt_k3_enumset1,dt_k4_bvfunc_2,dt_k4_xboole_0,dt_k6_subset_1,dt_k8_setfam_1,dt_m1_eqrel_1,dt_m1_subset_1,dt_c11_1_3__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c3_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c5_1_3__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c7_1_3__bvfunc23,dt_c8_1__bvfunc23,dt_c8_1_3__bvfunc23,dt_c9_1_3__bvfunc23,de_c11_1_3__bvfunc23,cc1_eqrel_1,cc2_eqrel_1,fc1_cqc_lang,fc1_subset_1,fc1_xboole_0,fc2_xboole_0,fc3_xboole_0,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,t1_boole,t1_subset,t2_subset,t3_boole,t3_subset,t4_boole,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole,e40_1_3__bvfunc23,e3_1__bvfunc23,e9_1__bvfunc23,e11_1__bvfunc23,e18_1_3__bvfunc23,e24_1_3__bvfunc23,e39_1_3__bvfunc23,d1_bvfunc_2]),
    [interesting(0.65),file(bvfunc23,e41_1_3__bvfunc23),[file(bvfunc23,e41_1_3__bvfunc23)]]).

fof(i3_1_3__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i3_1_3__bvfunc23)]),
    [interesting(0.65),trivial,file(bvfunc23,i3_1_3__bvfunc23)]).

fof(i2_1_3__bvfunc23,plain,(
    r2_hidden(c1_1_3__bvfunc23,k2_bvfunc_2(c1_1__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))) ),
    inference(conclusion,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,e1_1_3__bvfunc23])],[e41_1_3__bvfunc23,i3_1_3__bvfunc23]),
    [interesting(0.65),file(bvfunc23,i2_1_3__bvfunc23),[file(bvfunc23,i2_1_3__bvfunc23)]]).

fof(i1_1_3__bvfunc23,plain,(
    ~ ( r2_hidden(c1_1_3__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),c8_1__bvfunc23))
      & ~ r2_hidden(c1_1_3__bvfunc23,k2_bvfunc_2(c1_1__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c1_1_3__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23]),discharge_asm(discharge,[e1_1_3__bvfunc23])],[e1_1_3__bvfunc23,i2_1_3__bvfunc23]),
    [interesting(0.65),file(bvfunc23,i1_1_3__bvfunc23),[file(bvfunc23,i1_1_3__bvfunc23)]]).

fof(i1_1_3_tmp__bvfunc23,plain,(
    ~ ( r2_hidden(c1_1_3__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),c8_1__bvfunc23))
      & ~ r2_hidden(c1_1_3__bvfunc23,k2_bvfunc_2(c1_1__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23]),discharge_asm(discharge,[dt_c1_1_3__bvfunc23])],[dt_c1_1_3__bvfunc23,i1_1_3__bvfunc23]),
    [interesting(0.8),e12_1__bvfunc23]).

fof(e12_1__bvfunc23,plain,(
    r1_tarski(k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),c8_1__bvfunc23),k2_bvfunc_2(c1_1__bvfunc23,k6_subset_1(k1_bvfunc_2(c1_1__bvfunc23),c2_1__bvfunc23,k4_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23)))) ),
    inference(let,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[i1_1_3_tmp__bvfunc23,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_subset_1,rc1_subset_1,rc1_xboole_0,rc2_subset_1,rc2_xboole_0,commutativity_k2_partit1,reflexivity_r1_tarski,antisymmetry_r2_hidden,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k2_bvfunc_2,dt_k2_partit1,dt_k4_bvfunc_2,dt_k6_subset_1,dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,d3_tarski,dh_c1_1_3__bvfunc23]),
    [interesting(0.8),file(bvfunc23,e12_1__bvfunc23),[file(bvfunc23,e12_1__bvfunc23)]]).

fof(e14_1__bvfunc23,plain,(
    k5_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),c8_1__bvfunc23) ),
    inference(mizar_by,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[antisymmetry_r2_hidden,dt_k1_xboole_0,fc1_xboole_0,t1_subset,t3_boole,t4_boole,t4_subset,t5_subset,existence_m1_eqrel_1,existence_m1_subset_1,existence_m1_t_1topsp,dt_k1_partit1,dt_k1_tarski,dt_k1_zfmisc_1,dt_k4_xboole_0,dt_m1_eqrel_1,dt_m1_subset_1,dt_m1_t_1topsp,cc1_eqrel_1,cc2_eqrel_1,fc1_subset_1,fc2_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,redefinition_k1_bvfunc_2,redefinition_k4_bvfunc_2,redefinition_k6_subset_1,dt_k1_bvfunc_2,dt_k2_bvfunc_2,dt_k2_partit1,dt_k4_bvfunc_2,dt_k5_bvfunc_2,dt_k6_subset_1,dt_c1_1__bvfunc23,dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23,t3_subset,e13_1__bvfunc23,e2_1__bvfunc23,e12_1__bvfunc23,d10_xboole_0]),
    [interesting(0.8),file(bvfunc23,e14_1__bvfunc23),[file(bvfunc23,e14_1__bvfunc23)]]).

fof(i10_1__bvfunc23,theorem,(
    $true ),
    introduced(tautology,[file(bvfunc23,i10_1__bvfunc23)]),
    [interesting(0.8),trivial,file(bvfunc23,i10_1__bvfunc23)]).

fof(i9_1__bvfunc23,plain,(
    k5_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),c8_1__bvfunc23) ),
    inference(conclusion,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,e1_1__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23])],[e14_1__bvfunc23,i10_1__bvfunc23]),
    [interesting(0.8),file(bvfunc23,i9_1__bvfunc23),[file(bvfunc23,i9_1__bvfunc23)]]).

fof(i8_1__bvfunc23,plain,
    ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23)
   => ( c3_1__bvfunc23 = c4_1__bvfunc23
      | c3_1__bvfunc23 = c5_1__bvfunc23
      | c3_1__bvfunc23 = c6_1__bvfunc23
      | c3_1__bvfunc23 = c7_1__bvfunc23
      | c3_1__bvfunc23 = c8_1__bvfunc23
      | c4_1__bvfunc23 = c5_1__bvfunc23
      | c4_1__bvfunc23 = c6_1__bvfunc23
      | c4_1__bvfunc23 = c7_1__bvfunc23
      | c4_1__bvfunc23 = c8_1__bvfunc23
      | c5_1__bvfunc23 = c6_1__bvfunc23
      | c5_1__bvfunc23 = c7_1__bvfunc23
      | c5_1__bvfunc23 = c8_1__bvfunc23
      | c6_1__bvfunc23 = c7_1__bvfunc23
      | c6_1__bvfunc23 = c8_1__bvfunc23
      | c7_1__bvfunc23 = c8_1__bvfunc23
      | k5_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),c8_1__bvfunc23) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23,dt_c8_1__bvfunc23]),discharge_asm(discharge,[e1_1__bvfunc23])],[e1_1__bvfunc23,i9_1__bvfunc23]),
    [interesting(0.8),file(bvfunc23,i8_1__bvfunc23),[file(bvfunc23,i8_1__bvfunc23)]]).

fof(i8_1_tmp__bvfunc23,plain,
    ( m1_eqrel_1(c8_1__bvfunc23,c1_1__bvfunc23)
   => ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,c8_1__bvfunc23)
     => ( c3_1__bvfunc23 = c4_1__bvfunc23
        | c3_1__bvfunc23 = c5_1__bvfunc23
        | c3_1__bvfunc23 = c6_1__bvfunc23
        | c3_1__bvfunc23 = c7_1__bvfunc23
        | c3_1__bvfunc23 = c8_1__bvfunc23
        | c4_1__bvfunc23 = c5_1__bvfunc23
        | c4_1__bvfunc23 = c6_1__bvfunc23
        | c4_1__bvfunc23 = c7_1__bvfunc23
        | c4_1__bvfunc23 = c8_1__bvfunc23
        | c5_1__bvfunc23 = c6_1__bvfunc23
        | c5_1__bvfunc23 = c7_1__bvfunc23
        | c5_1__bvfunc23 = c8_1__bvfunc23
        | c6_1__bvfunc23 = c7_1__bvfunc23
        | c6_1__bvfunc23 = c8_1__bvfunc23
        | c7_1__bvfunc23 = c8_1__bvfunc23
        | k5_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),c8_1__bvfunc23) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23]),discharge_asm(discharge,[dt_c8_1__bvfunc23])],[dt_c8_1__bvfunc23,i8_1__bvfunc23]),
    [interesting(0.8),i7_1__bvfunc23]).

fof(i7_1__bvfunc23,plain,(
    ! [A] : 
      ( m1_eqrel_1(A,c1_1__bvfunc23)
     => ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,A)
       => ( c3_1__bvfunc23 = c4_1__bvfunc23
          | c3_1__bvfunc23 = c5_1__bvfunc23
          | c3_1__bvfunc23 = c6_1__bvfunc23
          | c3_1__bvfunc23 = c7_1__bvfunc23
          | c3_1__bvfunc23 = A
          | c4_1__bvfunc23 = c5_1__bvfunc23
          | c4_1__bvfunc23 = c6_1__bvfunc23
          | c4_1__bvfunc23 = c7_1__bvfunc23
          | c4_1__bvfunc23 = A
          | c5_1__bvfunc23 = c6_1__bvfunc23
          | c5_1__bvfunc23 = c7_1__bvfunc23
          | c5_1__bvfunc23 = A
          | c6_1__bvfunc23 = c7_1__bvfunc23
          | c6_1__bvfunc23 = A
          | c7_1__bvfunc23 = A
          | k5_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),A) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23,dt_c7_1__bvfunc23])],[i8_1_tmp__bvfunc23,dh_c8_1__bvfunc23]),
    [interesting(0.8),file(bvfunc23,i7_1__bvfunc23),[file(bvfunc23,i7_1__bvfunc23)]]).

fof(i7_1_tmp__bvfunc23,plain,
    ( m1_eqrel_1(c7_1__bvfunc23,c1_1__bvfunc23)
   => ! [A] : 
        ( m1_eqrel_1(A,c1_1__bvfunc23)
       => ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,c7_1__bvfunc23,A)
         => ( c3_1__bvfunc23 = c4_1__bvfunc23
            | c3_1__bvfunc23 = c5_1__bvfunc23
            | c3_1__bvfunc23 = c6_1__bvfunc23
            | c3_1__bvfunc23 = c7_1__bvfunc23
            | c3_1__bvfunc23 = A
            | c4_1__bvfunc23 = c5_1__bvfunc23
            | c4_1__bvfunc23 = c6_1__bvfunc23
            | c4_1__bvfunc23 = c7_1__bvfunc23
            | c4_1__bvfunc23 = A
            | c5_1__bvfunc23 = c6_1__bvfunc23
            | c5_1__bvfunc23 = c7_1__bvfunc23
            | c5_1__bvfunc23 = A
            | c6_1__bvfunc23 = c7_1__bvfunc23
            | c6_1__bvfunc23 = A
            | c7_1__bvfunc23 = A
            | k5_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),c7_1__bvfunc23),A) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23]),discharge_asm(discharge,[dt_c7_1__bvfunc23])],[dt_c7_1__bvfunc23,i7_1__bvfunc23]),
    [interesting(0.8),i6_1__bvfunc23]).

fof(i6_1__bvfunc23,plain,(
    ! [A] : 
      ( m1_eqrel_1(A,c1_1__bvfunc23)
     => ! [B] : 
          ( m1_eqrel_1(B,c1_1__bvfunc23)
         => ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,A,B)
           => ( c3_1__bvfunc23 = c4_1__bvfunc23
              | c3_1__bvfunc23 = c5_1__bvfunc23
              | c3_1__bvfunc23 = c6_1__bvfunc23
              | c3_1__bvfunc23 = A
              | c3_1__bvfunc23 = B
              | c4_1__bvfunc23 = c5_1__bvfunc23
              | c4_1__bvfunc23 = c6_1__bvfunc23
              | c4_1__bvfunc23 = A
              | c4_1__bvfunc23 = B
              | c5_1__bvfunc23 = c6_1__bvfunc23
              | c5_1__bvfunc23 = A
              | c5_1__bvfunc23 = B
              | c6_1__bvfunc23 = A
              | c6_1__bvfunc23 = B
              | A = B
              | k5_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),A),B) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23,dt_c6_1__bvfunc23])],[i7_1_tmp__bvfunc23,dh_c7_1__bvfunc23]),
    [interesting(0.8),file(bvfunc23,i6_1__bvfunc23),[file(bvfunc23,i6_1__bvfunc23)]]).

fof(i6_1_tmp__bvfunc23,plain,
    ( m1_eqrel_1(c6_1__bvfunc23,c1_1__bvfunc23)
   => ! [A] : 
        ( m1_eqrel_1(A,c1_1__bvfunc23)
       => ! [B] : 
            ( m1_eqrel_1(B,c1_1__bvfunc23)
           => ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23,c6_1__bvfunc23,A,B)
             => ( c3_1__bvfunc23 = c4_1__bvfunc23
                | c3_1__bvfunc23 = c5_1__bvfunc23
                | c3_1__bvfunc23 = c6_1__bvfunc23
                | c3_1__bvfunc23 = A
                | c3_1__bvfunc23 = B
                | c4_1__bvfunc23 = c5_1__bvfunc23
                | c4_1__bvfunc23 = c6_1__bvfunc23
                | c4_1__bvfunc23 = A
                | c4_1__bvfunc23 = B
                | c5_1__bvfunc23 = c6_1__bvfunc23
                | c5_1__bvfunc23 = A
                | c5_1__bvfunc23 = B
                | c6_1__bvfunc23 = A
                | c6_1__bvfunc23 = B
                | A = B
                | k5_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),c6_1__bvfunc23),A),B) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23]),discharge_asm(discharge,[dt_c6_1__bvfunc23])],[dt_c6_1__bvfunc23,i6_1__bvfunc23]),
    [interesting(0.8),i5_1__bvfunc23]).

fof(i5_1__bvfunc23,plain,(
    ! [A] : 
      ( m1_eqrel_1(A,c1_1__bvfunc23)
     => ! [B] : 
          ( m1_eqrel_1(B,c1_1__bvfunc23)
         => ! [C] : 
              ( m1_eqrel_1(C,c1_1__bvfunc23)
             => ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23,A,B,C)
               => ( c3_1__bvfunc23 = c4_1__bvfunc23
                  | c3_1__bvfunc23 = c5_1__bvfunc23
                  | c3_1__bvfunc23 = A
                  | c3_1__bvfunc23 = B
                  | c3_1__bvfunc23 = C
                  | c4_1__bvfunc23 = c5_1__bvfunc23
                  | c4_1__bvfunc23 = A
                  | c4_1__bvfunc23 = B
                  | c4_1__bvfunc23 = C
                  | c5_1__bvfunc23 = A
                  | c5_1__bvfunc23 = B
                  | c5_1__bvfunc23 = C
                  | A = B
                  | A = C
                  | B = C
                  | k5_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),A),B),C) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23,dt_c5_1__bvfunc23])],[i6_1_tmp__bvfunc23,dh_c6_1__bvfunc23]),
    [interesting(0.8),file(bvfunc23,i5_1__bvfunc23),[file(bvfunc23,i5_1__bvfunc23)]]).

fof(i5_1_tmp__bvfunc23,plain,
    ( m1_eqrel_1(c5_1__bvfunc23,c1_1__bvfunc23)
   => ! [A] : 
        ( m1_eqrel_1(A,c1_1__bvfunc23)
       => ! [B] : 
            ( m1_eqrel_1(B,c1_1__bvfunc23)
           => ! [C] : 
                ( m1_eqrel_1(C,c1_1__bvfunc23)
               => ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23,A,B,C)
                 => ( c3_1__bvfunc23 = c4_1__bvfunc23
                    | c3_1__bvfunc23 = c5_1__bvfunc23
                    | c3_1__bvfunc23 = A
                    | c3_1__bvfunc23 = B
                    | c3_1__bvfunc23 = C
                    | c4_1__bvfunc23 = c5_1__bvfunc23
                    | c4_1__bvfunc23 = A
                    | c4_1__bvfunc23 = B
                    | c4_1__bvfunc23 = C
                    | c5_1__bvfunc23 = A
                    | c5_1__bvfunc23 = B
                    | c5_1__bvfunc23 = C
                    | A = B
                    | A = C
                    | B = C
                    | k5_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,c5_1__bvfunc23),A),B),C) ) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23]),discharge_asm(discharge,[dt_c5_1__bvfunc23])],[dt_c5_1__bvfunc23,i5_1__bvfunc23]),
    [interesting(0.8),i4_1__bvfunc23]).

fof(i4_1__bvfunc23,plain,(
    ! [A] : 
      ( m1_eqrel_1(A,c1_1__bvfunc23)
     => ! [B] : 
          ( m1_eqrel_1(B,c1_1__bvfunc23)
         => ! [C] : 
              ( m1_eqrel_1(C,c1_1__bvfunc23)
             => ! [D] : 
                  ( m1_eqrel_1(D,c1_1__bvfunc23)
                 => ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,c4_1__bvfunc23,A,B,C,D)
                   => ( c3_1__bvfunc23 = c4_1__bvfunc23
                      | c3_1__bvfunc23 = A
                      | c3_1__bvfunc23 = B
                      | c3_1__bvfunc23 = C
                      | c3_1__bvfunc23 = D
                      | c4_1__bvfunc23 = A
                      | c4_1__bvfunc23 = B
                      | c4_1__bvfunc23 = C
                      | c4_1__bvfunc23 = D
                      | A = B
                      | A = C
                      | A = D
                      | B = C
                      | B = D
                      | C = D
                      | k5_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,A),B),C),D) ) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23,dt_c4_1__bvfunc23])],[i5_1_tmp__bvfunc23,dh_c5_1__bvfunc23]),
    [interesting(0.8),file(bvfunc23,i4_1__bvfunc23),[file(bvfunc23,i4_1__bvfunc23)]]).

fof(i4_1_tmp__bvfunc23,plain,
    ( m1_eqrel_1(c4_1__bvfunc23,c1_1__bvfunc23)
   => ! [A] : 
        ( m1_eqrel_1(A,c1_1__bvfunc23)
       => ! [B] : 
            ( m1_eqrel_1(B,c1_1__bvfunc23)
           => ! [C] : 
                ( m1_eqrel_1(C,c1_1__bvfunc23)
               => ! [D] : 
                    ( m1_eqrel_1(D,c1_1__bvfunc23)
                   => ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,c4_1__bvfunc23,A,B,C,D)
                     => ( c3_1__bvfunc23 = c4_1__bvfunc23
                        | c3_1__bvfunc23 = A
                        | c3_1__bvfunc23 = B
                        | c3_1__bvfunc23 = C
                        | c3_1__bvfunc23 = D
                        | c4_1__bvfunc23 = A
                        | c4_1__bvfunc23 = B
                        | c4_1__bvfunc23 = C
                        | c4_1__bvfunc23 = D
                        | A = B
                        | A = C
                        | A = D
                        | B = C
                        | B = D
                        | C = D
                        | k5_bvfunc_2(c1_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,c4_1__bvfunc23,A),B),C),D) ) ) ) ) ) ) ),
    inference(discharge_asm,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23]),discharge_asm(discharge,[dt_c4_1__bvfunc23])],[dt_c4_1__bvfunc23,i4_1__bvfunc23]),
    [interesting(0.8),i3_1__bvfunc23]).

fof(i3_1__bvfunc23,plain,(
    ! [A] : 
      ( m1_eqrel_1(A,c1_1__bvfunc23)
     => ! [B] : 
          ( m1_eqrel_1(B,c1_1__bvfunc23)
         => ! [C] : 
              ( m1_eqrel_1(C,c1_1__bvfunc23)
             => ! [D] : 
                  ( m1_eqrel_1(D,c1_1__bvfunc23)
                 => ! [E] : 
                      ( m1_eqrel_1(E,c1_1__bvfunc23)
                     => ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,A,B,C,D,E)
                       => ( c3_1__bvfunc23 = A
                          | c3_1__bvfunc23 = B
                          | c3_1__bvfunc23 = C
                          | c3_1__bvfunc23 = D
                          | c3_1__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_1__bvfunc23,c3_1__bvfunc23,c2_1__bvfunc23) = k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,k2_partit1(c1_1__bvfunc23,A,B),C),D),E) ) ) ) ) ) ) ) ),
    inference(let,[status(thm),assumptions([dt_c2_1__bvfunc23,dt_c3_1__bvfunc23,dt_c1_1__bvfunc23])],[i4_1_tmp__bvfunc23,dh_c4_1__bvfunc23]),
    [interesting(0.8),file(bvfunc23,i3_1__bvfunc23),[file(bvfunc23,i3_1__bvfunc23)]]).

fof(i3_1_tmp__bvfunc23,plain,
    ( m1_eqrel_1(c3_1__bvfunc23,c1_1__bvfunc23)
   => ! [A] : 
        ( m1_eqrel_1(A,c1_1__bvfunc23)
       => ! [B] : 
            ( m1_eqrel_1(B,c1_1__bvfunc23)
           => ! [C] : 
                ( m1_eqrel_1(C,c1_1__bvfunc23)
               => ! [D] : 
                    ( m1_eqrel_1(D,c1_1__bvfunc23)
                   => ! [E] : 
                        ( m1_eqrel_1(E,c1_1__bvfunc23)
                       => ( c2_1__bvfunc23 = k4_enumset1(c3_1__bvfunc23,A,B,C,D,E)
                         => ( c3_1__bvfunc23 = A
                            | c3_1__bvfunc23 = B
                            | c3_1__bvfunc23 = C
                            | c3_1__bvfunc23 = D
                            | c3_1__bvfunc23 = E
                            | A = B
                            | A = C
                            | A = D
                            | A = E