% Mizar problem: t33_pasch,pasch,1406,58 
fof(t33_pasch,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v2_analoaf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ~ ( r2_diraf(A,B,C,D,E)
                          & r2_diraf(A,B,D,C,E)
                          & ~ r3_diraf(A,B,C,D)
                          & ! [F] : 
                              ( m1_subset_1(F,u1_struct_0(A))
                             => ~ ( r3_diraf(A,F,B,E)
                                  & r3_diraf(A,F,C,D) ) ) ) ) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[dt_l1_analoaf,dt_l1_struct_0,dt_m1_subset_1,dt_u1_struct_0,existence_l1_analoaf,existence_l1_struct_0,existence_m1_subset_1,t21_pasch,t30_pasch,t34_diraf,t36_diraf]),
    [file(pasch,t33_pasch)]).

fof(dt_l1_analoaf,axiom,(
    ! [A] : 
      ( l1_analoaf(A)
     => l1_struct_0(A) ) ),
    file(analoaf,l1_analoaf),
    []).

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

fof(dt_m1_subset_1,axiom,(
    $true ),
    file(subset_1,m1_subset_1),
    []).

fof(dt_u1_struct_0,axiom,(
    $true ),
    file(struct_0,u1_struct_0),
    []).

fof(existence_l1_analoaf,axiom,(
    ? [A] : l1_analoaf(A) ),
    file(analoaf,l1_analoaf),
    []).

fof(existence_l1_struct_0,axiom,(
    ? [A] : l1_struct_0(A) ),
    file(struct_0,l1_struct_0),
    []).

fof(existence_m1_subset_1,axiom,(
    ! [A] : 
    ? [B] : m1_subset_1(B,A) ),
    file(subset_1,m1_subset_1),
    []).

fof(t21_pasch,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v2_analoaf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ( ( r2_diraf(A,B,C,D,E)
                          & r2_diraf(A,B,D,C,E) )
                       => ( r3_diraf(A,B,C,D)
                          | ( r2_analoaf(A,B,C,D,E)
                            & r2_analoaf(A,B,D,C,E) ) ) ) ) ) ) ) ) ),
    file(pasch,t21_pasch),
    []).

fof(t30_pasch,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v2_analoaf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] : 
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ~ ( r2_analoaf(A,B,C,D,E)
                          & ~ r3_diraf(A,B,C,D)
                          & ! [F] : 
                              ( m1_subset_1(F,u1_struct_0(A))
                             => ~ ( r1_diraf(A,B,F,E)
                                  & r1_diraf(A,C,F,D) ) ) ) ) ) ) ) ) ),
    file(pasch,t30_pasch),
    []).

fof(t34_diraf,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v2_analoaf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ( r1_diraf(A,B,C,D)
                   => r3_diraf(A,B,C,D) ) ) ) ) ) ),
    file(diraf,t34_diraf),
    []).

fof(t36_diraf,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & ~ v3_realset2(A)
        & v2_analoaf(A)
        & l1_analoaf(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] : 
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ( r3_diraf(A,B,C,D)
                   => ( r3_diraf(A,B,D,C)
                      & r3_diraf(A,C,B,D)
                      & r3_diraf(A,C,D,B)
                      & r3_diraf(A,D,B,C)
                      & r3_diraf(A,D,C,B) ) ) ) ) ) ) ),
    file(diraf,t36_diraf),
    []).