% Mizar problem: t48_functor0,functor0,3183,24 
fof(t48_functor0,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v12_altcat_1(A)
        & l2_altcat_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v12_altcat_1(B)
            & l2_altcat_1(B) )
         => ! [C] : 
              ( m2_functor0(C,A,B)
             => ( ( v16_functor0(C,A,B)
                  & v5_functor0(C,A,B) )
               => v7_functor0(C,A,B) ) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[cc1_altcat_2,cc2_functor0,cc4_functor0,cc6_functor0,d28_functor0,dt_l1_altcat_1,dt_l1_functor0,dt_l1_struct_0,dt_l2_altcat_1,dt_l2_functor0,dt_m2_functor0,existence_l1_altcat_1,existence_l1_functor0,existence_l1_struct_0,existence_l2_altcat_1,existence_l2_functor0,existence_m2_functor0,rc2_altcat_2,rc3_altcat_2,rc3_struct_0,rc5_functor0,rc7_functor0,t46_functor0]),
    [file(functor0,t48_functor0)]).

fof(cc1_altcat_2,axiom,(
    ! [A] : 
      ( l2_altcat_1(A)
     => ( ( ~ v3_struct_0(A)
          & v12_altcat_1(A) )
       => ( ~ v3_struct_0(A)
          & v1_altcat_2(A) ) ) ) ),
    file(altcat_2,cc1_altcat_2),
    []).

fof(cc2_functor0,axiom,(
    ! [A] : 
      ( l2_altcat_1(A)
     => ( ( ~ v3_struct_0(A)
          & v12_altcat_1(A) )
       => ( ~ v3_struct_0(A)
          & v1_altcat_2(A) ) ) ) ),
    file(functor0,cc2_functor0),
    []).

fof(cc4_functor0,axiom,(
    ! [A,B] : 
      ( ( l1_struct_0(A)
        & ~ v3_struct_0(B)
        & l1_struct_0(B) )
     => ! [C] : 
          ( l1_functor0(C,A,B)
         => ( v11_functor0(C,A,B)
           => v6_functor0(C,A,B) ) ) ) ),
    file(functor0,cc4_functor0),
    []).

fof(cc6_functor0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v12_altcat_1(A)
        & l2_altcat_1(A)
        & ~ v3_struct_0(B)
        & v12_altcat_1(B)
        & l2_altcat_1(B) )
     => ! [C] : 
          ( m2_functor0(C,A,B)
         => ( v16_functor0(C,A,B)
           => v6_functor0(C,A,B) ) ) ) ),
    file(functor0,cc6_functor0),
    []).

fof(d28_functor0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v12_altcat_1(A)
        & l2_altcat_1(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & v12_altcat_1(B)
            & l2_altcat_1(B) )
         => ! [C] : 
              ( m2_functor0(C,A,B)
             => ( v16_functor0(C,A,B)
              <=> ( v11_functor0(C,A,B)
                  & v14_functor0(C,A,B) ) ) ) ) ) ),
    file(functor0,d28_functor0),
    []).

fof(dt_l1_altcat_1,axiom,(
    ! [A] : 
      ( l1_altcat_1(A)
     => l1_struct_0(A) ) ),
    file(altcat_1,l1_altcat_1),
    []).

fof(dt_l1_functor0,axiom,(
    $true ),
    file(functor0,l1_functor0),
    []).

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

fof(dt_l2_altcat_1,axiom,(
    ! [A] : 
      ( l2_altcat_1(A)
     => l1_altcat_1(A) ) ),
    file(altcat_1,l2_altcat_1),
    []).

fof(dt_l2_functor0,axiom,(
    ! [A,B] : 
      ( ( l1_altcat_1(A)
        & l1_altcat_1(B) )
     => ! [C] : 
          ( l2_functor0(C,A,B)
         => l1_functor0(C,A,B) ) ) ),
    file(functor0,l2_functor0),
    []).

fof(dt_m2_functor0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v12_altcat_1(A)
        & l2_altcat_1(A)
        & ~ v3_struct_0(B)
        & v12_altcat_1(B)
        & l2_altcat_1(B) )
     => ! [C] : 
          ( m2_functor0(C,A,B)
         => l2_functor0(C,A,B) ) ) ),
    file(functor0,m2_functor0),
    []).

fof(existence_l1_altcat_1,axiom,(
    ? [A] : l1_altcat_1(A) ),
    file(altcat_1,l1_altcat_1),
    []).

fof(existence_l1_functor0,axiom,(
    ! [A,B] : 
      ( ( l1_struct_0(A)
        & l1_struct_0(B) )
     => ? [C] : l1_functor0(C,A,B) ) ),
    file(functor0,l1_functor0),
    []).

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

fof(existence_l2_altcat_1,axiom,(
    ? [A] : l2_altcat_1(A) ),
    file(altcat_1,l2_altcat_1),
    []).

fof(existence_l2_functor0,axiom,(
    ! [A,B] : 
      ( ( l1_altcat_1(A)
        & l1_altcat_1(B) )
     => ? [C] : l2_functor0(C,A,B) ) ),
    file(functor0,l2_functor0),
    []).

fof(existence_m2_functor0,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & v2_altcat_1(A)
        & v12_altcat_1(A)
        & l2_altcat_1(A)
        & ~ v3_struct_0(B)
        & v12_altcat_1(B)
        & l2_altcat_1(B) )
     => ? [C] : m2_functor0(C,A,B) ) ),
    file(functor0,m2_functor0),
    []).

fof(rc2_altcat_2,axiom,(
    ? [A] : 
      ( l1_altcat_1(A)
      & ~ v3_struct_0(A)
      & v1_altcat_2(A) ) ),
    file(altcat_2,rc2_altcat_2),
    []).

fof(rc3_altcat_2,axiom,(
    ? [A] : 
      ( l2_altcat_1(A)
      & ~ v3_struct_0(A)
      & v1_altcat_2(A) ) ),
    file(altcat_2,rc3_altcat_2),
    []).

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

fof(rc5_functor0,axiom,(
    ! [A,B] : 
      ( ( l1_altcat_1(A)
        & l1_altcat_1(B) )
     => ? [C] : 
          ( l2_functor0(C,A,B)
          & v11_functor0(C,A,B) ) ) ),
    file(functor0,rc5_functor0),
    []).

fof(rc7_functor0,axiom,(
    ? [A] : 
      ( l2_altcat_1(A)
      & ~ v3_struct_0(A)
      & v1_altcat_2(A) ) ),
    file(functor0,rc7_functor0),
    []).

fof(t46_functor0,axiom,(
    ! [A] : 
      ( l1_struct_0(A)
     => ! [B] : 
          ( l1_struct_0(B)
         => ! [C] : 
              ( l1_functor0(C,A,B)
             => ( ( v11_functor0(C,A,B)
                  & v5_functor0(C,A,B) )
               => v7_functor0(C,A,B) ) ) ) ) ),
    file(functor0,t46_functor0),
    []).