% Mizar problem: t35_parsp_1,parsp_1,572,14 
fof(t35_parsp_1,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_parsp_1(A)
        & l1_parsp_1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => r1_parsp_1(A,B,C,B,C) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[antisymmetry_r2_hidden,d12_parsp_1,dt_k1_xboole_0,dt_l1_parsp_1,dt_l1_struct_0,dt_m1_subset_1,dt_u1_struct_0,existence_l1_parsp_1,existence_l1_struct_0,existence_m1_subset_1,fc1_struct_0,fc1_xboole_0,rc1_xboole_0,rc2_parsp_1,rc2_xboole_0,rc3_struct_0,t1_subset,t2_subset,t6_boole,t7_boole,t8_boole]),
    [file(parsp_1,t35_parsp_1)]).

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

fof(d12_parsp_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_parsp_1(A) )
     => ( v2_parsp_1(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))
                       => ! [F] : 
                            ( m1_subset_1(F,u1_struct_0(A))
                           => ! [G] : 
                                ( m1_subset_1(G,u1_struct_0(A))
                               => ! [H] : 
                                    ( m1_subset_1(H,u1_struct_0(A))
                                   => ! [I] : 
                                        ( m1_subset_1(I,u1_struct_0(A))
                                       => ( r1_parsp_1(A,B,C,C,B)
                                          & r1_parsp_1(A,B,C,D,D)
                                          & ~ ( r1_parsp_1(A,B,C,F,G)
                                              & r1_parsp_1(A,B,C,H,I)
                                              & ~ r1_parsp_1(A,F,G,H,I)
                                              & B != C )
                                          & ( r1_parsp_1(A,B,C,B,D)
                                           => r1_parsp_1(A,C,B,C,D) )
                                          & ? [J] : 
                                              ( m1_subset_1(J,u1_struct_0(A))
                                              & r1_parsp_1(A,B,C,D,J)
                                              & r1_parsp_1(A,B,D,C,J) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file(parsp_1,d12_parsp_1),
    []).

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

fof(dt_l1_parsp_1,axiom,(
    ! [A] : 
      ( l1_parsp_1(A)
     => l1_struct_0(A) ) ),
    file(parsp_1,l1_parsp_1),
    []).

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_parsp_1,axiom,(
    ? [A] : l1_parsp_1(A) ),
    file(parsp_1,l1_parsp_1),
    []).

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(fc1_struct_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ~ v1_xboole_0(u1_struct_0(A)) ) ),
    file(struct_0,fc1_struct_0),
    []).

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

fof(rc1_xboole_0,axiom,(
    ? [A] : v1_xboole_0(A) ),
    file(xboole_0,rc1_xboole_0),
    []).

fof(rc2_parsp_1,axiom,(
    ? [A] : 
      ( l1_parsp_1(A)
      & ~ v3_struct_0(A) ) ),
    file(parsp_1,rc2_parsp_1),
    []).

fof(rc2_xboole_0,axiom,(
    ? [A] : ~ v1_xboole_0(A) ),
    file(xboole_0,rc2_xboole_0),
    []).

fof(rc3_struct_0,axiom,(
    ? [A] : 
      ( l1_struct_0(A)
      & ~ v3_struct_0(A) ) ),
    file(struct_0,rc3_struct_0),
    []).

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

fof(t2_subset,axiom,(
    ! [A,B] : 
      ( m1_subset_1(A,B)
     => ( v1_xboole_0(B)
        | r2_hidden(A,B) ) ) ),
    file(subset,t2_subset),
    []).

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

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

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