% Mizar problem: t8_waybel32,waybel32,398,72 
fof(t8_waybel32,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_yellow_9(B,A)
         => ( v4_waybel11(B)
           => v2_pre_topc(B) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[cc1_yellow_9,cc2_waybel29,cc2_yellow_9,cc3_waybel29,cc3_yellow14,cc3_yellow_9,cc4_yellow_9,dt_l1_orders_2,dt_l1_pre_topc,dt_l1_struct_0,dt_l1_waybel_9,dt_m1_yellow_9,existence_l1_orders_2,existence_l1_pre_topc,existence_l1_struct_0,existence_l1_waybel_9,existence_m1_yellow_9,rc3_struct_0]),
    [file(waybel32,t8_waybel32)]).

fof(cc1_yellow_9,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_yellow_9(B,A)
         => ~ v3_struct_0(B) ) ) ),
    file(yellow_9,cc1_yellow_9),
    []).

fof(cc2_waybel29,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_yellow_9(B,A)
         => ( ~ v3_struct_0(B)
            & v2_orders_2(B)
            & v3_orders_2(B)
            & v4_orders_2(B)
            & v24_waybel_0(B)
            & ~ v1_yellow_3(B) ) ) ) ),
    file(waybel29,cc2_waybel29),
    []).

fof(cc2_yellow_9,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_yellow_9(B,A)
         => v2_orders_2(B) ) ) ),
    file(yellow_9,cc2_yellow_9),
    []).

fof(cc3_waybel29,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v24_waybel_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_yellow_9(B,A)
         => ( v4_waybel11(B)
           => ( ~ v3_struct_0(B)
              & v2_orders_2(B)
              & v3_orders_2(B)
              & v4_orders_2(B)
              & v2_pre_topc(B)
              & ~ v1_yellow_3(B) ) ) ) ) ),
    file(waybel29,cc3_waybel29),
    []).

fof(cc3_yellow14,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v3_struct_0(A)
       => ( v1_yellow_0(A)
          & v2_yellow_0(A)
          & v3_yellow_0(A) ) ) ) ),
    file(yellow14,cc3_yellow14),
    []).

fof(cc3_yellow_9,axiom,(
    ! [A] : 
      ( ( v3_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_yellow_9(B,A)
         => v3_orders_2(B) ) ) ),
    file(yellow_9,cc3_yellow_9),
    []).

fof(cc4_yellow_9,axiom,(
    ! [A] : 
      ( ( v4_orders_2(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_yellow_9(B,A)
         => v4_orders_2(B) ) ) ),
    file(yellow_9,cc4_yellow_9),
    []).

fof(dt_l1_orders_2,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => l1_struct_0(A) ) ),
    file(orders_2,l1_orders_2),
    []).

fof(dt_l1_pre_topc,axiom,(
    ! [A] : 
      ( l1_pre_topc(A)
     => l1_struct_0(A) ) ),
    file(pre_topc,l1_pre_topc),
    []).

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

fof(dt_l1_waybel_9,axiom,(
    ! [A] : 
      ( l1_waybel_9(A)
     => ( l1_pre_topc(A)
        & l1_orders_2(A) ) ) ),
    file(waybel_9,l1_waybel_9),
    []).

fof(dt_m1_yellow_9,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ! [B] : 
          ( m1_yellow_9(B,A)
         => l1_waybel_9(B) ) ) ),
    file(yellow_9,m1_yellow_9),
    []).

fof(existence_l1_orders_2,axiom,(
    ? [A] : l1_orders_2(A) ),
    file(orders_2,l1_orders_2),
    []).

fof(existence_l1_pre_topc,axiom,(
    ? [A] : l1_pre_topc(A) ),
    file(pre_topc,l1_pre_topc),
    []).

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

fof(existence_l1_waybel_9,axiom,(
    ? [A] : l1_waybel_9(A) ),
    file(waybel_9,l1_waybel_9),
    []).

fof(existence_m1_yellow_9,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ? [B] : m1_yellow_9(B,A) ) ),
    file(yellow_9,m1_yellow_9),
    []).

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