% Mizar problem: t28_robbins3,robbins3,1558,45 
fof(t28_robbins3,conjecture,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l4_robbins3(A) )
     => ( ( v8_robbins3(A)
          & v9_robbins3(A)
          & v9_robbins1(A)
          & v10_lattices(A)
          & v10_robbins3(A) )
       => ( v21_oposet_1(A)
          & v14_oposet_1(A) ) ) ) ),
    inference(mizar_bg_added,[status(thm)],[antisymmetry_r2_hidden,cc12_oposet_1,cc13_oposet_1,cc14_oposet_1,cc14_robbins3,cc15_oposet_1,cc1_funct_2,cc1_lattices,cc1_relset_1,cc1_robbins3,cc20_oposet_1,cc23_robbins3,cc24_robbins3,cc25_robbins3,cc2_lattices,cc3_oposet_1,cc4_yellow_0,cc5_funct_2,cc5_oposet_1,cc5_robbins1,cc5_yellow_0,cc6_funct_2,cc7_oposet_1,cc8_oposet_1,commutativity_k12_lattice3,commutativity_k13_lattice3,commutativity_k2_struct_0,commutativity_k2_tarski,commutativity_k4_lattices,commutativity_k4_robbins3,commutativity_k5_robbins3,d10_robbins3,d10_yellow_0,d1_lattices,d1_waybel_9,d23_robbins1,d2_lattices,d32_oposet_1,d36_oposet_1,d37_oposet_1,d3_lattices,d3_oposet_1,d3_robbins1,d4_yellow_0,d5_lattices,d5_yellow_0,d6_robbins3,d6_waybel_1,d7_lattices,d7_robbins3,d7_waybel_1,d8_lattice3,d9_lattice3,d9_yellow_0,dt_k10_lattice3,dt_k11_lattice3,dt_k12_lattice3,dt_k13_lattice3,dt_k1_binop_1,dt_k1_funct_1,dt_k1_lattices,dt_k1_waybel_0,dt_k1_xboole_0,dt_k1_yellow_0,dt_k1_zfmisc_1,dt_k2_binop_1,dt_k2_lattices,dt_k2_struct_0,dt_k2_tarski,dt_k2_yellow_0,dt_k2_zfmisc_1,dt_k3_robbins1,dt_k3_yellow_6,dt_k4_lattices,dt_k4_robbins3,dt_k5_robbins3,dt_k8_funct_2,dt_l1_lattices,dt_l1_oposet_1,dt_l1_orders_2,dt_l1_robbins1,dt_l1_robbins3,dt_l1_struct_0,dt_l2_lattices,dt_l2_robbins1,dt_l2_robbins3,dt_l3_lattices,dt_l3_robbins1,dt_l3_robbins3,dt_l4_robbins3,dt_m1_relset_1,dt_m1_subset_1,dt_m2_relset_1,dt_u1_lattices,dt_u1_robbins1,dt_u1_struct_0,dt_u2_lattices,existence_l1_lattices,existence_l1_oposet_1,existence_l1_orders_2,existence_l1_robbins1,existence_l1_robbins3,existence_l1_struct_0,existence_l2_lattices,existence_l2_robbins1,existence_l2_robbins3,existence_l3_lattices,existence_l3_robbins1,existence_l3_robbins3,existence_l4_robbins3,existence_m1_relset_1,existence_m1_subset_1,existence_m2_relset_1,fc1_struct_0,rc11_robbins3,rc1_funct_2,rc2_partfun1,rc3_struct_0,rc4_oposet_1,rc5_robbins3,rc5_struct_0,rc6_robbins3,rc7_robbins3,rc8_robbins3,rc9_robbins3,redefinition_k12_lattice3,redefinition_k13_lattice3,redefinition_k1_waybel_0,redefinition_k2_binop_1,redefinition_k2_struct_0,redefinition_k3_yellow_6,redefinition_k4_lattices,redefinition_k4_robbins3,redefinition_k5_robbins3,redefinition_k8_funct_2,redefinition_m2_relset_1,redefinition_r3_lattices,redefinition_r3_orders_2,reflexivity_r1_tarski,reflexivity_r3_lattices,reflexivity_r3_orders_2,t17_lattices,t18_lattices,t1_subset,t20_yellow_0,t21_lattices,t21_yellow_0,t22_robbins3,t25_robbins3,t26_robbins3,t2_subset,t3_subset,t40_yellow_0,t41_yellow_0,t42_yellow_0,t43_yellow_0,t4_subset,t5_subset,t6_boole,t7_boole,t8_boole]),
    [file(robbins3,t28_robbins3)]).

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

fof(cc12_oposet_1,axiom,(
    ! [A] : 
      ( l1_oposet_1(A)
     => ( ( ~ v3_struct_0(A)
          & v13_oposet_1(A) )
       => ( ~ v3_struct_0(A)
          & v14_oposet_1(A) ) ) ) ),
    file(oposet_1,cc12_oposet_1),
    []).

fof(cc13_oposet_1,axiom,(
    ! [A] : 
      ( l1_oposet_1(A)
     => ( ( ~ v3_struct_0(A)
          & v14_oposet_1(A) )
       => ( ~ v3_struct_0(A)
          & v13_oposet_1(A) ) ) ) ),
    file(oposet_1,cc13_oposet_1),
    []).

fof(cc14_oposet_1,axiom,(
    ! [A] : 
      ( l1_oposet_1(A)
     => ( ( ~ v3_struct_0(A)
          & v14_oposet_1(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v7_oposet_1(A)
          & v9_oposet_1(A) ) ) ) ),
    file(oposet_1,cc14_oposet_1),
    []).

fof(cc14_robbins3,axiom,(
    ! [A] : 
      ( l3_robbins3(A)
     => ( ( ~ v3_struct_0(A)
          & v10_lattices(A)
          & v10_robbins3(A) )
       => ( ~ v3_struct_0(A)
          & v1_lattice3(A)
          & v2_lattice3(A) ) ) ) ),
    file(robbins3,cc14_robbins3),
    []).

fof(cc15_oposet_1,axiom,(
    ! [A] : 
      ( l1_oposet_1(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A) )
       => ( ~ v3_struct_0(A)
          & v13_oposet_1(A)
          & v14_oposet_1(A) ) ) ) ),
    file(oposet_1,cc15_oposet_1),
    []).

fof(cc1_funct_2,axiom,(
    ! [A,B,C] : 
      ( m1_relset_1(C,A,B)
     => ( ( v1_funct_1(C)
          & v1_partfun1(C,A,B) )
       => ( v1_funct_1(C)
          & v1_funct_2(C,A,B) ) ) ) ),
    file(funct_2,cc1_funct_2),
    []).

fof(cc1_lattices,axiom,(
    ! [A] : 
      ( l3_lattices(A)
     => ( ( ~ v3_struct_0(A)
          & v10_lattices(A) )
       => ( ~ v3_struct_0(A)
          & v4_lattices(A)
          & v5_lattices(A)
          & v6_lattices(A)
          & v7_lattices(A)
          & v8_lattices(A)
          & v9_lattices(A) ) ) ) ),
    file(lattices,cc1_lattices),
    []).

fof(cc1_relset_1,axiom,(
    ! [A,B,C] : 
      ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))
     => v1_relat_1(C) ) ),
    file(relset_1,cc1_relset_1),
    []).

fof(cc1_robbins3,axiom,(
    ! [A] : 
      ( l3_lattices(A)
     => ( ( ~ v3_struct_0(A)
          & v10_lattices(A) )
       => ( ~ v3_struct_0(A)
          & v8_lattices(A)
          & v9_lattices(A)
          & v1_robbins3(A)
          & v2_robbins3(A) ) ) ) ),
    file(robbins3,cc1_robbins3),
    []).

fof(cc20_oposet_1,axiom,(
    ! [A] : 
      ( l1_oposet_1(A)
     => ( ( ~ v3_struct_0(A)
          & v14_oposet_1(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v3_orders_2(A)
          & v4_orders_2(A)
          & v7_oposet_1(A)
          & v9_oposet_1(A)
          & v13_oposet_1(A)
          & v14_oposet_1(A) ) ) ) ),
    file(oposet_1,cc20_oposet_1),
    []).

fof(cc23_robbins3,axiom,(
    ! [A] : 
      ( l3_robbins3(A)
     => ( ( ~ v3_struct_0(A)
          & v6_lattices(A)
          & v8_lattices(A)
          & v9_lattices(A)
          & v10_robbins3(A) )
       => ( ~ v3_struct_0(A)
          & v2_orders_2(A) ) ) ) ),
    file(robbins3,cc23_robbins3),
    []).

fof(cc24_robbins3,axiom,(
    ! [A] : 
      ( l3_robbins3(A)
     => ( ( ~ v3_struct_0(A)
          & v5_lattices(A)
          & v10_robbins3(A) )
       => ( ~ v3_struct_0(A)
          & v3_orders_2(A) ) ) ) ),
    file(robbins3,cc24_robbins3),
    []).

fof(cc25_robbins3,axiom,(
    ! [A] : 
      ( l3_robbins3(A)
     => ( ( ~ v3_struct_0(A)
          & v4_lattices(A)
          & v10_robbins3(A) )
       => ( ~ v3_struct_0(A)
          & v4_orders_2(A) ) ) ) ),
    file(robbins3,cc25_robbins3),
    []).

fof(cc2_lattices,axiom,(
    ! [A] : 
      ( l3_lattices(A)
     => ( ( ~ v3_struct_0(A)
          & v4_lattices(A)
          & v5_lattices(A)
          & v6_lattices(A)
          & v7_lattices(A)
          & v8_lattices(A)
          & v9_lattices(A) )
       => ( ~ v3_struct_0(A)
          & v10_lattices(A) ) ) ) ),
    file(lattices,cc2_lattices),
    []).

fof(cc3_oposet_1,axiom,(
    ! [A] : 
      ( l1_oposet_1(A)
     => ( ( ~ v3_struct_0(A)
          & v4_orders_2(A) )
       => ( ~ v3_struct_0(A)
          & v7_oposet_1(A) ) ) ) ),
    file(oposet_1,cc3_oposet_1),
    []).

fof(cc4_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v3_yellow_0(A)
       => ( v1_yellow_0(A)
          & v2_yellow_0(A) ) ) ) ),
    file(yellow_0,cc4_yellow_0),
    []).

fof(cc5_funct_2,axiom,(
    ! [A,B] : 
      ( ~ v1_xboole_0(B)
     => ! [C] : 
          ( m1_relset_1(C,A,B)
         => ( ( v1_funct_1(C)
              & v1_funct_2(C,A,B) )
           => ( v1_funct_1(C)
              & v1_partfun1(C,A,B)
              & v1_funct_2(C,A,B) ) ) ) ) ),
    file(funct_2,cc5_funct_2),
    []).

fof(cc5_oposet_1,axiom,(
    ! [A] : 
      ( l1_oposet_1(A)
     => ( ( ~ v3_struct_0(A)
          & v3_orders_2(A) )
       => ( ~ v3_struct_0(A)
          & v9_oposet_1(A) ) ) ) ),
    file(oposet_1,cc5_oposet_1),
    []).

fof(cc5_robbins1,axiom,(
    ! [A] : 
      ( l3_robbins1(A)
     => ( ( ~ v3_struct_0(A)
          & v4_lattices(A)
          & v5_lattices(A)
          & v9_robbins1(A) )
       => ( ~ v3_struct_0(A)
          & v6_lattices(A) ) ) ) ),
    file(robbins1,cc5_robbins1),
    []).

fof(cc5_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( ( v1_yellow_0(A)
          & v2_yellow_0(A) )
       => v3_yellow_0(A) ) ) ),
    file(yellow_0,cc5_yellow_0),
    []).

fof(cc6_funct_2,axiom,(
    ! [A,B] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B) )
     => ! [C] : 
          ( m1_relset_1(C,A,B)
         => ( ( v1_funct_1(C)
              & v1_funct_2(C,A,B) )
           => ( v1_funct_1(C)
              & ~ v1_xboole_0(C)
              & v1_partfun1(C,A,B)
              & v1_funct_2(C,A,B) ) ) ) ) ),
    file(funct_2,cc6_funct_2),
    []).

fof(cc7_oposet_1,axiom,(
    ! [A] : 
      ( l1_oposet_1(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v7_oposet_1(A) )
       => ( ~ v3_struct_0(A)
          & v4_orders_2(A)
          & v7_oposet_1(A) ) ) ) ),
    file(oposet_1,cc7_oposet_1),
    []).

fof(cc8_oposet_1,axiom,(
    ! [A] : 
      ( l1_oposet_1(A)
     => ( ( ~ v3_struct_0(A)
          & v2_orders_2(A)
          & v9_oposet_1(A) )
       => ( ~ v3_struct_0(A)
          & v3_orders_2(A)
          & v9_oposet_1(A) ) ) ) ),
    file(oposet_1,cc8_oposet_1),
    []).

fof(commutativity_k12_lattice3,axiom,(
    ! [A,B,C] : 
      ( ( v4_orders_2(A)
        & v2_lattice3(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k12_lattice3(A,B,C) = k12_lattice3(A,C,B) ) ),
    file(lattice3,k12_lattice3),
    []).

fof(commutativity_k13_lattice3,axiom,(
    ! [A,B,C] : 
      ( ( v4_orders_2(A)
        & v1_lattice3(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k13_lattice3(A,B,C) = k13_lattice3(A,C,B) ) ),
    file(lattice3,k13_lattice3),
    []).

fof(commutativity_k2_struct_0,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k2_struct_0(A,B,C) = k2_struct_0(A,C,B) ) ),
    file(struct_0,k2_struct_0),
    []).

fof(commutativity_k2_tarski,axiom,(
    ! [A,B] : k2_tarski(A,B) = k2_tarski(B,A) ),
    file(tarski,k2_tarski),
    []).

fof(commutativity_k4_lattices,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v6_lattices(A)
        & l1_lattices(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k4_lattices(A,B,C) = k4_lattices(A,C,B) ) ),
    file(lattices,k4_lattices),
    []).

fof(commutativity_k4_robbins3,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v6_lattices(A)
        & l1_lattices(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k4_robbins3(A,B,C) = k4_robbins3(A,C,B) ) ),
    file(robbins3,k4_robbins3),
    []).

fof(commutativity_k5_robbins3,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & l2_lattices(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k5_robbins3(A,B,C) = k5_robbins3(A,C,B) ) ),
    file(robbins3,k5_robbins3),
    []).

fof(d10_robbins3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_robbins3(A) )
     => ( v10_robbins3(A)
      <=> ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => ( r1_orders_2(A,B,C)
                <=> k1_lattices(A,B,C) = C ) ) ) ) ) ),
    file(robbins3,d10_robbins3),
    []).

fof(d10_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ! [B,C] : 
          ( m1_subset_1(C,u1_struct_0(A))
         => ( r2_yellow_0(A,B)
           => ( C = k2_yellow_0(A,B)
            <=> ( r1_lattice3(A,B,C)
                & ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ( r1_lattice3(A,B,D)
                     => r1_orders_2(A,D,C) ) ) ) ) ) ) ) ),
    file(yellow_0,d10_yellow_0),
    []).

fof(d1_lattices,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l2_lattices(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => k1_lattices(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_lattices(A),B,C) ) ) ) ),
    file(lattices,d1_lattices),
    []).

fof(d1_waybel_9,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( ( ~ v3_struct_0(B)
            & l1_orders_2(B) )
         => ! [C] : 
              ( ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
             => ( v5_waybel_0(C,A,B)
              <=> ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ! [E] : 
                        ( m1_subset_1(E,u1_struct_0(A))
                       => ( r1_orders_2(A,D,E)
                         => r1_orders_2(B,k3_yellow_6(u1_struct_0(A),B,C,E),k3_yellow_6(u1_struct_0(A),B,C,D)) ) ) ) ) ) ) ) ),
    file(waybel_9,d1_waybel_9),
    []).

fof(d23_robbins1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l3_robbins1(A) )
     => ( v9_robbins1(A)
      <=> ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => k2_lattices(A,B,C) = k3_robbins1(A,k1_lattices(A,k3_robbins1(A,B),k3_robbins1(A,C))) ) ) ) ) ),
    file(robbins1,d23_robbins1),
    []).

fof(d2_lattices,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_lattices(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => k2_lattices(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_lattices(A),B,C) ) ) ) ),
    file(lattices,d2_lattices),
    []).

fof(d32_oposet_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
         => ( v18_oposet_1(B,A)
          <=> ? [C] : 
                ( v1_funct_1(C)
                & v1_funct_2(C,u1_struct_0(A),u1_struct_0(A))
                & m2_relset_1(C,u1_struct_0(A),u1_struct_0(A))
                & C = B
                & v2_oposet_1(C,u1_struct_0(A))
                & v5_waybel_0(C,A,A) ) ) ) ) ),
    file(oposet_1,d32_oposet_1),
    []).

fof(d36_oposet_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
         => ( r2_oposet_1(A,B)
          <=> ( v18_oposet_1(B,A)
              & ! [C] : 
                  ( m1_subset_1(C,u1_struct_0(A))
                 => ( r1_yellow_0(A,k2_struct_0(A,C,k1_waybel_0(A,A,B,C)))
                    & r2_yellow_0(A,k2_struct_0(A,C,k1_waybel_0(A,A,B,C)))
                    & r4_waybel_1(A,k1_yellow_0(A,k2_struct_0(A,C,k1_waybel_0(A,A,B,C))),u1_struct_0(A))
                    & r3_waybel_1(A,k2_yellow_0(A,k2_struct_0(A,C,k1_waybel_0(A,A,B,C))),u1_struct_0(A)) ) ) ) ) ) ) ),
    file(oposet_1,d36_oposet_1),
    []).

fof(d37_oposet_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_oposet_1(A) )
     => ( v21_oposet_1(A)
      <=> ? [B] : 
            ( v1_funct_1(B)
            & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
            & m2_relset_1(B,u1_struct_0(A),u1_struct_0(A))
            & B = u1_robbins1(A)
            & r2_oposet_1(A,B) ) ) ) ),
    file(oposet_1,d37_oposet_1),
    []).

fof(d3_lattices,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l2_lattices(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ( r1_lattices(A,B,C)
              <=> k1_lattices(A,B,C) = C ) ) ) ) ),
    file(lattices,d3_lattices),
    []).

fof(d3_oposet_1,axiom,(
    ! [A] : 
      ( ~ v1_xboole_0(A)
     => ! [B] : 
          ( ( v1_funct_1(B)
            & v1_funct_2(B,A,A)
            & m2_relset_1(B,A,A) )
         => ( v2_oposet_1(B,A)
          <=> ! [C] : 
                ( m1_subset_1(C,A)
               => k8_funct_2(A,A,B,k8_funct_2(A,A,B,C)) = C ) ) ) ) ),
    file(oposet_1,d3_oposet_1),
    []).

fof(d3_robbins1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_robbins1(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => k3_robbins1(A,B) = k8_funct_2(u1_struct_0(A),u1_struct_0(A),u1_robbins1(A),B) ) ) ),
    file(robbins1,d3_robbins1),
    []).

fof(d4_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v1_yellow_0(A)
      <=> ? [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
            & r1_lattice3(A,u1_struct_0(A),B) ) ) ) ),
    file(yellow_0,d4_yellow_0),
    []).

fof(d5_lattices,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l2_lattices(A) )
     => ( v5_lattices(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))
                   => k1_lattices(A,B,k1_lattices(A,C,D)) = k1_lattices(A,k1_lattices(A,B,C),D) ) ) ) ) ) ),
    file(lattices,d5_lattices),
    []).

fof(d5_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ( v2_yellow_0(A)
      <=> ? [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
            & r2_lattice3(A,u1_struct_0(A),B) ) ) ) ),
    file(yellow_0,d5_yellow_0),
    []).

fof(d6_robbins3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_robbins1(A) )
     => ( v8_robbins3(A)
      <=> ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => k3_robbins1(A,k3_robbins1(A,B)) = B ) ) ) ),
    file(robbins3,d6_robbins3),
    []).

fof(d6_waybel_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( r3_waybel_1(A,B,C)
            <=> ( r2_yellow_0(A,C)
                & B = k2_yellow_0(A,C)
                & r2_hidden(k2_yellow_0(A,C),C) ) ) ) ) ),
    file(waybel_1,d6_waybel_1),
    []).

fof(d7_lattices,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_lattices(A) )
     => ( v7_lattices(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))
                   => k2_lattices(A,B,k2_lattices(A,C,D)) = k2_lattices(A,k2_lattices(A,B,C),D) ) ) ) ) ) ),
    file(lattices,d7_lattices),
    []).

fof(d7_robbins3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A) )
     => ( v9_robbins3(A)
      <=> ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => k1_lattices(A,B,k3_robbins1(A,B)) = k1_lattices(A,C,k3_robbins1(A,C)) ) ) ) ) ),
    file(robbins3,d7_robbins3),
    []).

fof(d7_waybel_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( r4_waybel_1(A,B,C)
            <=> ( r1_yellow_0(A,C)
                & B = k1_yellow_0(A,C)
                & r2_hidden(k1_yellow_0(A,C),C) ) ) ) ) ),
    file(waybel_1,d7_waybel_1),
    []).

fof(d8_lattice3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ! [B,C] : 
          ( m1_subset_1(C,u1_struct_0(A))
         => ( r1_lattice3(A,B,C)
          <=> ! [D] : 
                ( m1_subset_1(D,u1_struct_0(A))
               => ( r2_hidden(D,B)
                 => r1_orders_2(A,C,D) ) ) ) ) ) ),
    file(lattice3,d8_lattice3),
    []).

fof(d9_lattice3,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ! [B,C] : 
          ( m1_subset_1(C,u1_struct_0(A))
         => ( r2_lattice3(A,B,C)
          <=> ! [D] : 
                ( m1_subset_1(D,u1_struct_0(A))
               => ( r2_hidden(D,B)
                 => r1_orders_2(A,D,C) ) ) ) ) ) ),
    file(lattice3,d9_lattice3),
    []).

fof(d9_yellow_0,axiom,(
    ! [A] : 
      ( l1_orders_2(A)
     => ! [B,C] : 
          ( m1_subset_1(C,u1_struct_0(A))
         => ( r1_yellow_0(A,B)
           => ( C = k1_yellow_0(A,B)
            <=> ( r2_lattice3(A,B,C)
                & ! [D] : 
                    ( m1_subset_1(D,u1_struct_0(A))
                   => ( r2_lattice3(A,B,D)
                     => r1_orders_2(A,C,D) ) ) ) ) ) ) ) ),
    file(yellow_0,d9_yellow_0),
    []).

fof(dt_k10_lattice3,axiom,(
    ! [A,B,C] : 
      ( ( l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k10_lattice3(A,B,C),u1_struct_0(A)) ) ),
    file(lattice3,k10_lattice3),
    []).

fof(dt_k11_lattice3,axiom,(
    ! [A,B,C] : 
      ( ( l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k11_lattice3(A,B,C),u1_struct_0(A)) ) ),
    file(lattice3,k11_lattice3),
    []).

fof(dt_k12_lattice3,axiom,(
    ! [A,B,C] : 
      ( ( v4_orders_2(A)
        & v2_lattice3(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k12_lattice3(A,B,C),u1_struct_0(A)) ) ),
    file(lattice3,k12_lattice3),
    []).

fof(dt_k13_lattice3,axiom,(
    ! [A,B,C] : 
      ( ( v4_orders_2(A)
        & v1_lattice3(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k13_lattice3(A,B,C),u1_struct_0(A)) ) ),
    file(lattice3,k13_lattice3),
    []).

fof(dt_k1_binop_1,axiom,(
    $true ),
    file(binop_1,k1_binop_1),
    []).

fof(dt_k1_funct_1,axiom,(
    $true ),
    file(funct_1,k1_funct_1),
    []).

fof(dt_k1_lattices,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l2_lattices(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k1_lattices(A,B,C),u1_struct_0(A)) ) ),
    file(lattices,k1_lattices),
    []).

fof(dt_k1_waybel_0,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v3_struct_0(B)
        & l1_struct_0(B)
        & v1_funct_1(C)
        & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
        & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
        & m1_subset_1(D,u1_struct_0(A)) )
     => m1_subset_1(k1_waybel_0(A,B,C,D),u1_struct_0(B)) ) ),
    file(waybel_0,k1_waybel_0),
    []).

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

fof(dt_k1_yellow_0,axiom,(
    ! [A,B] : 
      ( l1_orders_2(A)
     => m1_subset_1(k1_yellow_0(A,B),u1_struct_0(A)) ) ),
    file(yellow_0,k1_yellow_0),
    []).

fof(dt_k1_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k1_zfmisc_1),
    []).

fof(dt_k2_binop_1,axiom,(
    ! [A,B,C,D,E,F] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & v1_funct_1(D)
        & v1_funct_2(D,k2_zfmisc_1(A,B),C)
        & m1_relset_1(D,k2_zfmisc_1(A,B),C)
        & m1_subset_1(E,A)
        & m1_subset_1(F,B) )
     => m1_subset_1(k2_binop_1(A,B,C,D,E,F),C) ) ),
    file(binop_1,k2_binop_1),
    []).

fof(dt_k2_lattices,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_lattices(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k2_lattices(A,B,C),u1_struct_0(A)) ) ),
    file(lattices,k2_lattices),
    []).

fof(dt_k2_struct_0,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k2_struct_0(A,B,C),k1_zfmisc_1(u1_struct_0(A))) ) ),
    file(struct_0,k2_struct_0),
    []).

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

fof(dt_k2_yellow_0,axiom,(
    ! [A,B] : 
      ( l1_orders_2(A)
     => m1_subset_1(k2_yellow_0(A,B),u1_struct_0(A)) ) ),
    file(yellow_0,k2_yellow_0),
    []).

fof(dt_k2_zfmisc_1,axiom,(
    $true ),
    file(zfmisc_1,k2_zfmisc_1),
    []).

fof(dt_k3_robbins1,axiom,(
    ! [A,B] : 
      ( ( ~ v3_struct_0(A)
        & l1_robbins1(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => m1_subset_1(k3_robbins1(A,B),u1_struct_0(A)) ) ),
    file(robbins1,k3_robbins1),
    []).

fof(dt_k3_yellow_6,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & l1_orders_2(B)
        & v1_funct_1(C)
        & v1_funct_2(C,A,u1_struct_0(B))
        & m1_relset_1(C,A,u1_struct_0(B))
        & m1_subset_1(D,A) )
     => m1_subset_1(k3_yellow_6(A,B,C,D),u1_struct_0(B)) ) ),
    file(yellow_6,k3_yellow_6),
    []).

fof(dt_k4_lattices,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v6_lattices(A)
        & l1_lattices(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k4_lattices(A,B,C),u1_struct_0(A)) ) ),
    file(lattices,k4_lattices),
    []).

fof(dt_k4_robbins3,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v6_lattices(A)
        & l1_lattices(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k4_robbins3(A,B,C),u1_struct_0(A)) ) ),
    file(robbins3,k4_robbins3),
    []).

fof(dt_k5_robbins3,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & l2_lattices(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k5_robbins3(A,B,C),u1_struct_0(A)) ) ),
    file(robbins3,k5_robbins3),
    []).

fof(dt_k8_funct_2,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m1_relset_1(C,A,B)
        & m1_subset_1(D,A) )
     => m1_subset_1(k8_funct_2(A,B,C,D),B) ) ),
    file(funct_2,k8_funct_2),
    []).

fof(dt_l1_lattices,axiom,(
    ! [A] : 
      ( l1_lattices(A)
     => l1_struct_0(A) ) ),
    file(lattices,l1_lattices),
    []).

fof(dt_l1_oposet_1,axiom,(
    ! [A] : 
      ( l1_oposet_1(A)
     => ( l1_orders_2(A)
        & l1_robbins1(A) ) ) ),
    file(oposet_1,l1_oposet_1),
    []).

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

fof(dt_l1_robbins1,axiom,(
    ! [A] : 
      ( l1_robbins1(A)
     => l1_struct_0(A) ) ),
    file(robbins1,l1_robbins1),
    []).

fof(dt_l1_robbins3,axiom,(
    ! [A] : 
      ( l1_robbins3(A)
     => ( l2_lattices(A)
        & l1_orders_2(A) ) ) ),
    file(robbins3,l1_robbins3),
    []).

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

fof(dt_l2_lattices,axiom,(
    ! [A] : 
      ( l2_lattices(A)
     => l1_struct_0(A) ) ),
    file(lattices,l2_lattices),
    []).

fof(dt_l2_robbins1,axiom,(
    ! [A] : 
      ( l2_robbins1(A)
     => ( l2_lattices(A)
        & l1_robbins1(A) ) ) ),
    file(robbins1,l2_robbins1),
    []).

fof(dt_l2_robbins3,axiom,(
    ! [A] : 
      ( l2_robbins3(A)
     => ( l1_lattices(A)
        & l1_orders_2(A) ) ) ),
    file(robbins3,l2_robbins3),
    []).

fof(dt_l3_lattices,axiom,(
    ! [A] : 
      ( l3_lattices(A)
     => ( l1_lattices(A)
        & l2_lattices(A) ) ) ),
    file(lattices,l3_lattices),
    []).

fof(dt_l3_robbins1,axiom,(
    ! [A] : 
      ( l3_robbins1(A)
     => ( l2_robbins1(A)
        & l3_lattices(A) ) ) ),
    file(robbins1,l3_robbins1),
    []).

fof(dt_l3_robbins3,axiom,(
    ! [A] : 
      ( l3_robbins3(A)
     => ( l2_robbins3(A)
        & l1_robbins3(A)
        & l3_lattices(A) ) ) ),
    file(robbins3,l3_robbins3),
    []).

fof(dt_l4_robbins3,axiom,(
    ! [A] : 
      ( l4_robbins3(A)
     => ( l3_robbins3(A)
        & l3_robbins1(A)
        & l1_oposet_1(A) ) ) ),
    file(robbins3,l4_robbins3),
    []).

fof(dt_m1_relset_1,axiom,(
    $true ),
    file(relset_1,m1_relset_1),
    []).

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

fof(dt_m2_relset_1,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
     => m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) ),
    file(relset_1,m2_relset_1),
    []).

fof(dt_u1_lattices,axiom,(
    ! [A] : 
      ( l1_lattices(A)
     => ( v1_funct_1(u1_lattices(A))
        & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
        & m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ),
    file(lattices,u1_lattices),
    []).

fof(dt_u1_robbins1,axiom,(
    ! [A] : 
      ( l1_robbins1(A)
     => ( v1_funct_1(u1_robbins1(A))
        & v1_funct_2(u1_robbins1(A),u1_struct_0(A),u1_struct_0(A))
        & m2_relset_1(u1_robbins1(A),u1_struct_0(A),u1_struct_0(A)) ) ) ),
    file(robbins1,u1_robbins1),
    []).

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

fof(dt_u2_lattices,axiom,(
    ! [A] : 
      ( l2_lattices(A)
     => ( v1_funct_1(u2_lattices(A))
        & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A))
        & m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) ) ) ),
    file(lattices,u2_lattices),
    []).

fof(existence_l1_lattices,axiom,(
    ? [A] : l1_lattices(A) ),
    file(lattices,l1_lattices),
    []).

fof(existence_l1_oposet_1,axiom,(
    ? [A] : l1_oposet_1(A) ),
    file(oposet_1,l1_oposet_1),
    []).

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

fof(existence_l1_robbins1,axiom,(
    ? [A] : l1_robbins1(A) ),
    file(robbins1,l1_robbins1),
    []).

fof(existence_l1_robbins3,axiom,(
    ? [A] : l1_robbins3(A) ),
    file(robbins3,l1_robbins3),
    []).

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

fof(existence_l2_lattices,axiom,(
    ? [A] : l2_lattices(A) ),
    file(lattices,l2_lattices),
    []).

fof(existence_l2_robbins1,axiom,(
    ? [A] : l2_robbins1(A) ),
    file(robbins1,l2_robbins1),
    []).

fof(existence_l2_robbins3,axiom,(
    ? [A] : l2_robbins3(A) ),
    file(robbins3,l2_robbins3),
    []).

fof(existence_l3_lattices,axiom,(
    ? [A] : l3_lattices(A) ),
    file(lattices,l3_lattices),
    []).

fof(existence_l3_robbins1,axiom,(
    ? [A] : l3_robbins1(A) ),
    file(robbins1,l3_robbins1),
    []).

fof(existence_l3_robbins3,axiom,(
    ? [A] : l3_robbins3(A) ),
    file(robbins3,l3_robbins3),
    []).

fof(existence_l4_robbins3,axiom,(
    ? [A] : l4_robbins3(A) ),
    file(robbins3,l4_robbins3),
    []).

fof(existence_m1_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m1_relset_1(C,A,B) ),
    file(relset_1,m1_relset_1),
    []).

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

fof(existence_m2_relset_1,axiom,(
    ! [A,B] : 
    ? [C] : m2_relset_1(C,A,B) ),
    file(relset_1,m2_relset_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(rc11_robbins3,axiom,(
    ? [A] : 
      ( l3_robbins1(A)
      & ~ v3_struct_0(A)
      & v4_lattices(A)
      & v5_lattices(A)
      & v6_lattices(A)
      & v7_lattices(A)
      & v8_lattices(A)
      & v9_lattices(A)
      & v10_lattices(A)
      & v9_robbins1(A)
      & v1_robbins3(A)
      & v2_robbins3(A)
      & v8_robbins3(A)
      & v9_robbins3(A) ) ),
    file(robbins3,rc11_robbins3),
    []).

fof(rc1_funct_2,axiom,(
    ! [A,B] : 
    ? [C] : 
      ( m1_relset_1(C,A,B)
      & v1_relat_1(C)
      & v1_funct_1(C)
      & v1_funct_2(C,A,B) ) ),
    file(funct_2,rc1_funct_2),
    []).

fof(rc2_partfun1,axiom,(
    ! [A,B] : 
    ? [C] : 
      ( m1_relset_1(C,A,B)
      & v1_relat_1(C)
      & v1_funct_1(C) ) ),
    file(partfun1,rc2_partfun1),
    []).

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

fof(rc4_oposet_1,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_oposet_1(A) )
     => ? [B] : 
          ( m1_relset_1(B,u1_struct_0(A),u1_struct_0(A))
          & ~ v1_xboole_0(B)
          & v1_relat_1(B)
          & v1_funct_1(B)
          & v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
          & v1_partfun1(B,u1_struct_0(A),u1_struct_0(A))
          & v2_oposet_1(B,u1_struct_0(A)) ) ) ),
    file(oposet_1,rc4_oposet_1),
    []).

fof(rc5_robbins3,axiom,(
    ? [A] : 
      ( l1_robbins3(A)
      & ~ v3_struct_0(A) ) ),
    file(robbins3,rc5_robbins3),
    []).

fof(rc5_struct_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A) )
     => ? [B] : 
          ( m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
          & ~ v1_xboole_0(B) ) ) ),
    file(struct_0,rc5_struct_0),
    []).

fof(rc6_robbins3,axiom,(
    ? [A] : 
      ( l2_robbins3(A)
      & ~ v3_struct_0(A) ) ),
    file(robbins3,rc6_robbins3),
    []).

fof(rc7_robbins3,axiom,(
    ? [A] : 
      ( l3_robbins3(A)
      & ~ v3_struct_0(A) ) ),
    file(robbins3,rc7_robbins3),
    []).

fof(rc8_robbins3,axiom,(
    ? [A] : 
      ( l3_robbins3(A)
      & v2_orders_2(A)
      & v3_orders_2(A)
      & v4_orders_2(A)
      & v1_lattice3(A)
      & v2_lattice3(A) ) ),
    file(robbins3,rc8_robbins3),
    []).

fof(rc9_robbins3,axiom,(
    ? [A] : 
      ( l3_robbins3(A)
      & ~ v3_struct_0(A)
      & v4_lattices(A)
      & v5_lattices(A)
      & v6_lattices(A)
      & v7_lattices(A)
      & v8_lattices(A)
      & v9_lattices(A)
      & v10_lattices(A)
      & v1_robbins3(A)
      & v2_robbins3(A) ) ),
    file(robbins3,rc9_robbins3),
    []).

fof(redefinition_k12_lattice3,axiom,(
    ! [A,B,C] : 
      ( ( v4_orders_2(A)
        & v2_lattice3(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k12_lattice3(A,B,C) = k11_lattice3(A,B,C) ) ),
    file(lattice3,k12_lattice3),
    []).

fof(redefinition_k13_lattice3,axiom,(
    ! [A,B,C] : 
      ( ( v4_orders_2(A)
        & v1_lattice3(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k13_lattice3(A,B,C) = k10_lattice3(A,B,C) ) ),
    file(lattice3,k13_lattice3),
    []).

fof(redefinition_k1_waybel_0,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & ~ v3_struct_0(B)
        & l1_struct_0(B)
        & v1_funct_1(C)
        & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
        & m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
        & m1_subset_1(D,u1_struct_0(A)) )
     => k1_waybel_0(A,B,C,D) = k1_funct_1(C,D) ) ),
    file(waybel_0,k1_waybel_0),
    []).

fof(redefinition_k2_binop_1,axiom,(
    ! [A,B,C,D,E,F] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v1_xboole_0(B)
        & v1_funct_1(D)
        & v1_funct_2(D,k2_zfmisc_1(A,B),C)
        & m1_relset_1(D,k2_zfmisc_1(A,B),C)
        & m1_subset_1(E,A)
        & m1_subset_1(F,B) )
     => k2_binop_1(A,B,C,D,E,F) = k1_binop_1(D,E,F) ) ),
    file(binop_1,k2_binop_1),
    []).

fof(redefinition_k2_struct_0,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & l1_struct_0(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k2_struct_0(A,B,C) = k2_tarski(B,C) ) ),
    file(struct_0,k2_struct_0),
    []).

fof(redefinition_k3_yellow_6,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & ~ v3_struct_0(B)
        & l1_orders_2(B)
        & v1_funct_1(C)
        & v1_funct_2(C,A,u1_struct_0(B))
        & m1_relset_1(C,A,u1_struct_0(B))
        & m1_subset_1(D,A) )
     => k3_yellow_6(A,B,C,D) = k1_funct_1(C,D) ) ),
    file(yellow_6,k3_yellow_6),
    []).

fof(redefinition_k4_lattices,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v6_lattices(A)
        & l1_lattices(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k4_lattices(A,B,C) = k2_lattices(A,B,C) ) ),
    file(lattices,k4_lattices),
    []).

fof(redefinition_k4_robbins3,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v6_lattices(A)
        & l1_lattices(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k4_robbins3(A,B,C) = k2_lattices(A,B,C) ) ),
    file(robbins3,k4_robbins3),
    []).

fof(redefinition_k5_robbins3,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & l2_lattices(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k5_robbins3(A,B,C) = k1_lattices(A,B,C) ) ),
    file(robbins3,k5_robbins3),
    []).

fof(redefinition_k8_funct_2,axiom,(
    ! [A,B,C,D] : 
      ( ( ~ v1_xboole_0(A)
        & v1_funct_1(C)
        & v1_funct_2(C,A,B)
        & m1_relset_1(C,A,B)
        & m1_subset_1(D,A) )
     => k8_funct_2(A,B,C,D) = k1_funct_1(C,D) ) ),
    file(funct_2,k8_funct_2),
    []).

fof(redefinition_m2_relset_1,axiom,(
    ! [A,B,C] : 
      ( m2_relset_1(C,A,B)
    <=> m1_relset_1(C,A,B) ) ),
    file(relset_1,m2_relset_1),
    []).

fof(redefinition_r3_lattices,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v6_lattices(A)
        & v8_lattices(A)
        & v9_lattices(A)
        & l3_lattices(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => ( r3_lattices(A,B,C)
      <=> r1_lattices(A,B,C) ) ) ),
    file(lattices,r3_lattices),
    []).

fof(redefinition_r3_orders_2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => ( r3_orders_2(A,B,C)
      <=> r1_orders_2(A,B,C) ) ) ),
    file(orders_2,r3_orders_2),
    []).

fof(reflexivity_r1_tarski,axiom,(
    ! [A,B] : r1_tarski(A,A) ),
    file(tarski,r1_tarski),
    []).

fof(reflexivity_r3_lattices,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v6_lattices(A)
        & v8_lattices(A)
        & v9_lattices(A)
        & l3_lattices(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => r3_lattices(A,B,B) ) ),
    file(lattices,r3_lattices),
    []).

fof(reflexivity_r3_orders_2,axiom,(
    ! [A,B,C] : 
      ( ( ~ v3_struct_0(A)
        & v2_orders_2(A)
        & l1_orders_2(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => r3_orders_2(A,B,B) ) ),
    file(orders_2,r3_orders_2),
    []).

fof(t17_lattices,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v6_lattices(A)
        & v8_lattices(A)
        & v9_lattices(A)
        & l3_lattices(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => k1_lattices(A,B,B) = B ) ) ),
    file(lattices,t17_lattices),
    []).

fof(t18_lattices,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v6_lattices(A)
        & v8_lattices(A)
        & v9_lattices(A)
        & l3_lattices(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => k4_lattices(A,B,B) = B ) ) ),
    file(lattices,t18_lattices),
    []).

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

fof(t20_yellow_0,axiom,(
    ! [A] : 
      ( ( v4_orders_2(A)
        & l1_orders_2(A) )
     => ( v1_lattice3(A)
      <=> ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => r1_yellow_0(A,k2_tarski(B,C)) ) ) ) ) ),
    file(yellow_0,t20_yellow_0),
    []).

fof(t21_lattices,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v8_lattices(A)
        & v9_lattices(A)
        & l3_lattices(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ( r1_lattices(A,B,C)
              <=> k2_lattices(A,B,C) = B ) ) ) ) ),
    file(lattices,t21_lattices),
    []).

fof(t21_yellow_0,axiom,(
    ! [A] : 
      ( ( v4_orders_2(A)
        & l1_orders_2(A) )
     => ( v2_lattice3(A)
      <=> ! [B] : 
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] : 
                ( m1_subset_1(C,u1_struct_0(A))
               => r2_yellow_0(A,k2_tarski(B,C)) ) ) ) ) ),
    file(yellow_0,t21_yellow_0),
    []).

fof(t22_robbins3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v10_robbins3(A)
        & l3_robbins3(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => ( r1_orders_2(A,B,C)
              <=> r1_lattices(A,B,C) ) ) ) ) ),
    file(robbins3,t22_robbins3),
    []).

fof(t25_robbins3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v10_robbins3(A)
        & l4_robbins3(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => k10_lattice3(A,B,C) = k5_robbins3(A,B,C) ) ) ) ),
    file(robbins3,t25_robbins3),
    []).

fof(t26_robbins3,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & v1_lattice3(A)
        & v2_lattice3(A)
        & v10_robbins3(A)
        & l4_robbins3(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => k11_lattice3(A,B,C) = k4_robbins3(A,B,C) ) ) ) ),
    file(robbins3,t26_robbins3),
    []).

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

fof(t3_subset,axiom,(
    ! [A,B] : 
      ( m1_subset_1(A,k1_zfmisc_1(B))
    <=> r1_tarski(A,B) ) ),
    file(subset,t3_subset),
    []).

fof(t40_yellow_0,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v2_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => k2_yellow_0(A,k2_struct_0(A,B,C)) = k12_lattice3(A,B,C) ) ) ) ),
    file(yellow_0,t40_yellow_0),
    []).

fof(t41_yellow_0,axiom,(
    ! [A] : 
      ( ( v2_orders_2(A)
        & v3_orders_2(A)
        & v4_orders_2(A)
        & v1_lattice3(A)
        & l1_orders_2(A) )
     => ! [B] : 
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] : 
              ( m1_subset_1(C,u1_struct_0(A))
             => k1_yellow_0(A,k2_struct_0(A,B,C)) = k13_lattice3(A,B,C) ) ) ) ),
    file(yellow_0,t41_yellow_0),
    []).

fof(t42_yellow_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_orders_2(A)
        & v1_yellow_0(A)
        & l1_orders_2(A) )
     => ( r1_yellow_0(A,k1_xboole_0)
        & r2_yellow_0(A,u1_struct_0(A)) ) ) ),
    file(yellow_0,t42_yellow_0),
    []).

fof(t43_yellow_0,axiom,(
    ! [A] : 
      ( ( ~ v3_struct_0(A)
        & v4_orders_2(A)
        & v2_yellow_0(A)
        & l1_orders_2(A) )
     => ( r2_yellow_0(A,k1_xboole_0)
        & r1_yellow_0(A,u1_struct_0(A)) ) ) ),
    file(yellow_0,t43_yellow_0),
    []).

fof(t4_subset,axiom,(
    ! [A,B,C] : 
      ( ( r2_hidden(A,B)
        & m1_subset_1(B,k1_zfmisc_1(C)) )
     => m1_subset_1(A,C) ) ),
    file(subset,t4_subset),
    []).

fof(t5_subset,axiom,(
    ! [A,B,C] : ~ ( r2_hidden(A,B)
      & m1_subset_1(B,k1_zfmisc_1(C))
      & v1_xboole_0(C) ) ),
    file(subset,t5_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),
    []).