SET007 Axioms: SET007+690.ax


%------------------------------------------------------------------------------
% File     : SET007+690 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : Robbins Algebras vs. Boolean Algebras
% Version  : [Urb08] axioms.
% English  :

% Refs     : [Mat90] Matuszewski (1990), Formalized Mathematics
%          : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
%          : [Urb08] Urban (2006), Email to G. Sutcliffe
% Source   : [Urb08]
% Names    : robbins1 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :  160 (   5 unit)
%            Number of atoms       : 1192 ( 127 equality)
%            Maximal formula depth :   22 (   8 average)
%            Number of connectives : 1188 ( 156 ~  ;   0  |; 741  &)
%                                         (  10 <=>; 281 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   38 (   0 propositional; 1-3 arity)
%            Number of functors    :   37 (   5 constant; 0-4 arity)
%            Number of variables   :  328 (   0 singleton; 305 !;  23 ?)
%            Maximal term depth    :   10 (   1 average)
% SPC      : 

% Comments : The individual reference can be found in [Mat90] by looking for
%            the name provided by [Urb08].
%          : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
%          : These set theory axioms are used in encodings of problems in
%            various domains, including ALG, CAT, GRP, LAT, SET, and TOP.
%------------------------------------------------------------------------------
fof(rc1_robbins1,axiom,(
    ? [A] :
      ( l1_robbins1(A)
      & v1_robbins1(A) ) )).

fof(rc2_robbins1,axiom,(
    ? [A] :
      ( l2_robbins1(A)
      & v2_robbins1(A) ) )).

fof(rc3_robbins1,axiom,(
    ? [A] :
      ( l3_robbins1(A)
      & v3_robbins1(A) ) )).

fof(fc1_robbins1,axiom,
    ( ~ v3_struct_0(k1_robbins1)
    & v3_realset2(k1_robbins1)
    & v2_robbins1(k1_robbins1) )).

fof(fc2_robbins1,axiom,
    ( ~ v3_struct_0(k2_robbins1)
    & v3_realset2(k2_robbins1)
    & v3_robbins1(k2_robbins1) )).

fof(rc4_robbins1,axiom,(
    ? [A] :
      ( l3_robbins1(A)
      & ~ v3_struct_0(A)
      & v3_realset2(A)
      & v3_robbins1(A) ) )).

fof(rc5_robbins1,axiom,(
    ? [A] :
      ( l2_robbins1(A)
      & ~ v3_struct_0(A)
      & v3_realset2(A)
      & v2_robbins1(A) ) )).

fof(fc3_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v3_realset2(A)
        & l2_robbins1(A) )
     => ( ~ v3_struct_0(g1_robbins1(u1_struct_0(A),u1_robbins1(A)))
        & v3_realset2(g1_robbins1(u1_struct_0(A),u1_robbins1(A)))
        & v1_robbins1(g1_robbins1(u1_struct_0(A),u1_robbins1(A))) ) ) )).

fof(rc6_robbins1,axiom,(
    ? [A] :
      ( l1_robbins1(A)
      & ~ v3_struct_0(A)
      & v3_realset2(A)
      & v1_robbins1(A) ) )).

fof(fc4_robbins1,axiom,
    ( ~ v3_struct_0(k1_robbins1)
    & v4_lattices(k1_robbins1)
    & v5_lattices(k1_robbins1)
    & v3_realset2(k1_robbins1)
    & v2_robbins1(k1_robbins1)
    & v4_robbins1(k1_robbins1)
    & v5_robbins1(k1_robbins1)
    & v6_robbins1(k1_robbins1) )).

fof(fc5_robbins1,axiom,
    ( ~ v3_struct_0(k2_robbins1)
    & v4_lattices(k2_robbins1)
    & v5_lattices(k2_robbins1)
    & v3_realset2(k2_robbins1)
    & v3_robbins1(k2_robbins1)
    & v4_robbins1(k2_robbins1)
    & v5_robbins1(k2_robbins1) )).

fof(fc6_robbins1,axiom,
    ( ~ v3_struct_0(k2_robbins1)
    & v4_lattices(k2_robbins1)
    & v5_lattices(k2_robbins1)
    & v6_lattices(k2_robbins1)
    & v7_lattices(k2_robbins1)
    & v8_lattices(k2_robbins1)
    & v9_lattices(k2_robbins1)
    & v10_lattices(k2_robbins1)
    & v3_realset2(k2_robbins1)
    & v3_robbins1(k2_robbins1)
    & v4_robbins1(k2_robbins1)
    & v5_robbins1(k2_robbins1) )).

fof(rc7_robbins1,axiom,(
    ? [A] :
      ( l2_robbins1(A)
      & ~ v3_struct_0(A)
      & v4_lattices(A)
      & v5_lattices(A)
      & v2_robbins1(A)
      & v4_robbins1(A)
      & v5_robbins1(A)
      & v6_robbins1(A) ) )).

fof(rc8_robbins1,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)
      & v3_robbins1(A)
      & v4_robbins1(A)
      & v5_robbins1(A) ) )).

fof(cc1_robbins1,axiom,(
    ! [A] :
      ( l2_robbins1(A)
     => ( ( ~ v3_struct_0(A)
          & v4_lattices(A)
          & v5_lattices(A)
          & v5_robbins1(A)
          & v6_robbins1(A) )
       => ( ~ v3_struct_0(A)
          & v14_lattices(A) ) ) ) )).

fof(cc2_robbins1,axiom,(
    ! [A] :
      ( l2_robbins1(A)
     => ( ( ~ v3_struct_0(A)
          & v4_lattices(A)
          & v5_lattices(A)
          & v5_robbins1(A) )
       => ( ~ v3_struct_0(A)
          & v6_robbins1(A) ) ) ) )).

fof(fc7_robbins1,axiom,
    ( ~ v3_struct_0(k2_robbins1)
    & v4_lattices(k2_robbins1)
    & v5_lattices(k2_robbins1)
    & v6_lattices(k2_robbins1)
    & v7_lattices(k2_robbins1)
    & v8_lattices(k2_robbins1)
    & v9_lattices(k2_robbins1)
    & v10_lattices(k2_robbins1)
    & v11_lattices(k2_robbins1)
    & v12_lattices(k2_robbins1)
    & v13_lattices(k2_robbins1)
    & v14_lattices(k2_robbins1)
    & v15_lattices(k2_robbins1)
    & v16_lattices(k2_robbins1)
    & v17_lattices(k2_robbins1)
    & v3_realset2(k2_robbins1)
    & v3_robbins1(k2_robbins1)
    & v4_robbins1(k2_robbins1)
    & v5_robbins1(k2_robbins1)
    & v6_robbins1(k2_robbins1)
    & v7_robbins1(k2_robbins1) )).

fof(rc9_robbins1,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)
      & v11_lattices(A)
      & v12_lattices(A)
      & v13_lattices(A)
      & v14_lattices(A)
      & v15_lattices(A)
      & v16_lattices(A)
      & v17_lattices(A)
      & v3_robbins1(A)
      & v7_robbins1(A) ) )).

fof(fc8_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A) )
     => ( ~ v3_struct_0(k8_robbins1(A))
        & v3_robbins1(k8_robbins1(A)) ) ) )).

fof(fc9_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & l2_robbins1(A) )
     => ( ~ v3_struct_0(k8_robbins1(A))
        & v4_lattices(k8_robbins1(A))
        & v3_robbins1(k8_robbins1(A)) ) ) )).

fof(fc10_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v5_lattices(A)
        & l2_robbins1(A) )
     => ( ~ v3_struct_0(k8_robbins1(A))
        & v5_lattices(k8_robbins1(A))
        & v3_robbins1(k8_robbins1(A)) ) ) )).

fof(fc11_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & l2_robbins1(A) )
     => ( ~ v3_struct_0(k8_robbins1(A))
        & v4_lattices(k8_robbins1(A))
        & v5_lattices(k8_robbins1(A))
        & v6_lattices(k8_robbins1(A))
        & v3_robbins1(k8_robbins1(A)) ) ) )).

fof(fc12_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(A) )
     => ( ~ v3_struct_0(k8_robbins1(A))
        & v4_lattices(k8_robbins1(A))
        & v5_lattices(k8_robbins1(A))
        & v6_lattices(k8_robbins1(A))
        & v7_lattices(k8_robbins1(A))
        & v8_lattices(k8_robbins1(A))
        & v9_lattices(k8_robbins1(A))
        & v10_lattices(k8_robbins1(A))
        & v3_robbins1(k8_robbins1(A)) ) ) )).

fof(fc13_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v5_robbins1(A)
        & l2_robbins1(A) )
     => ( ~ v3_struct_0(k8_robbins1(A))
        & v3_robbins1(k8_robbins1(A))
        & v5_robbins1(k8_robbins1(A)) ) ) )).

fof(fc14_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(A) )
     => ( ~ v3_struct_0(k8_robbins1(A))
        & v4_lattices(k8_robbins1(A))
        & v5_lattices(k8_robbins1(A))
        & v6_lattices(k8_robbins1(A))
        & v7_lattices(k8_robbins1(A))
        & v8_lattices(k8_robbins1(A))
        & v9_lattices(k8_robbins1(A))
        & v10_lattices(k8_robbins1(A))
        & v13_lattices(k8_robbins1(A))
        & v14_lattices(k8_robbins1(A))
        & v15_lattices(k8_robbins1(A))
        & v3_robbins1(k8_robbins1(A))
        & v5_robbins1(k8_robbins1(A))
        & v6_robbins1(k8_robbins1(A)) ) ) )).

fof(fc15_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(A) )
     => ( ~ v3_struct_0(k8_robbins1(A))
        & v4_lattices(k8_robbins1(A))
        & v5_lattices(k8_robbins1(A))
        & v6_lattices(k8_robbins1(A))
        & v7_lattices(k8_robbins1(A))
        & v8_lattices(k8_robbins1(A))
        & v9_lattices(k8_robbins1(A))
        & v10_lattices(k8_robbins1(A))
        & v11_lattices(k8_robbins1(A))
        & v12_lattices(k8_robbins1(A))
        & v13_lattices(k8_robbins1(A))
        & v14_lattices(k8_robbins1(A))
        & v15_lattices(k8_robbins1(A))
        & v16_lattices(k8_robbins1(A))
        & v17_lattices(k8_robbins1(A))
        & v3_robbins1(k8_robbins1(A))
        & v5_robbins1(k8_robbins1(A))
        & v6_robbins1(k8_robbins1(A)) ) ) )).

fof(fc16_robbins1,axiom,
    ( ~ v3_struct_0(k1_robbins1)
    & v4_lattices(k1_robbins1)
    & v5_lattices(k1_robbins1)
    & v14_lattices(k1_robbins1)
    & v3_realset2(k1_robbins1)
    & v2_robbins1(k1_robbins1)
    & v4_robbins1(k1_robbins1)
    & v5_robbins1(k1_robbins1)
    & v6_robbins1(k1_robbins1)
    & v8_robbins1(k1_robbins1) )).

fof(cc3_robbins1,axiom,(
    ! [A] :
      ( l2_robbins1(A)
     => ( ( ~ v3_struct_0(A)
          & v4_lattices(A)
          & v5_lattices(A)
          & v4_robbins1(A)
          & v8_robbins1(A) )
       => ( ~ v3_struct_0(A)
          & v4_lattices(A)
          & v5_lattices(A)
          & v14_lattices(A)
          & v4_robbins1(A)
          & v5_robbins1(A)
          & v6_robbins1(A) ) ) ) )).

fof(cc4_robbins1,axiom,(
    ! [A] :
      ( l2_robbins1(A)
     => ( ( ~ v3_struct_0(A)
          & v4_lattices(A)
          & v5_lattices(A)
          & v4_robbins1(A) )
       => ( ~ v3_struct_0(A)
          & v4_lattices(A)
          & v5_lattices(A)
          & v14_lattices(A)
          & v5_robbins1(A)
          & v6_robbins1(A) ) ) ) )).

fof(fc17_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A) )
     => ( ~ v3_struct_0(k8_robbins1(A))
        & v3_robbins1(k8_robbins1(A))
        & v9_robbins1(k8_robbins1(A)) ) ) )).

fof(fc18_robbins1,axiom,
    ( ~ v3_struct_0(k2_robbins1)
    & v4_lattices(k2_robbins1)
    & v5_lattices(k2_robbins1)
    & v6_lattices(k2_robbins1)
    & v7_lattices(k2_robbins1)
    & v8_lattices(k2_robbins1)
    & v9_lattices(k2_robbins1)
    & v10_lattices(k2_robbins1)
    & v11_lattices(k2_robbins1)
    & v12_lattices(k2_robbins1)
    & v13_lattices(k2_robbins1)
    & v14_lattices(k2_robbins1)
    & v15_lattices(k2_robbins1)
    & v16_lattices(k2_robbins1)
    & v17_lattices(k2_robbins1)
    & v3_realset2(k2_robbins1)
    & v3_robbins1(k2_robbins1)
    & v4_robbins1(k2_robbins1)
    & v5_robbins1(k2_robbins1)
    & v6_robbins1(k2_robbins1)
    & v7_robbins1(k2_robbins1)
    & v9_robbins1(k2_robbins1) )).

fof(rc10_robbins1,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)
      & v11_lattices(A)
      & v12_lattices(A)
      & v13_lattices(A)
      & v14_lattices(A)
      & v15_lattices(A)
      & v16_lattices(A)
      & v17_lattices(A)
      & v3_robbins1(A)
      & v4_robbins1(A)
      & v5_robbins1(A)
      & v6_robbins1(A)
      & v9_robbins1(A) ) )).

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) ) ) ) )).

fof(cc6_robbins1,axiom,(
    ! [A] :
      ( l3_robbins1(A)
     => ( ( ~ v3_struct_0(A)
          & v10_lattices(A)
          & v17_lattices(A)
          & v7_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)
          & v14_lattices(A)
          & v5_robbins1(A)
          & v6_robbins1(A)
          & v7_robbins1(A) ) ) ) )).

fof(cc7_robbins1,axiom,(
    ! [A] :
      ( l3_robbins1(A)
     => ( ( ~ v3_struct_0(A)
          & v10_lattices(A)
          & v5_robbins1(A)
          & v9_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)
          & v11_lattices(A)
          & v12_lattices(A)
          & v13_lattices(A)
          & v14_lattices(A)
          & v15_lattices(A)
          & v16_lattices(A)
          & v17_lattices(A)
          & v9_robbins1(A) ) ) ) )).

fof(cc8_robbins1,axiom,(
    ! [A] :
      ( l3_robbins1(A)
     => ( ( ~ v3_struct_0(A)
          & v10_lattices(A)
          & v4_robbins1(A)
          & v9_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)
          & v11_lattices(A)
          & v12_lattices(A)
          & v13_lattices(A)
          & v14_lattices(A)
          & v15_lattices(A)
          & v16_lattices(A)
          & v17_lattices(A) ) ) ) )).

fof(cc9_robbins1,axiom,(
    ! [A] :
      ( l3_robbins1(A)
     => ( ( ~ v3_struct_0(A)
          & v10_lattices(A)
          & v17_lattices(A)
          & v7_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)
          & v14_lattices(A)
          & v4_robbins1(A)
          & v5_robbins1(A)
          & v6_robbins1(A)
          & v7_robbins1(A) ) ) ) )).

fof(d1_robbins1,axiom,(
    k1_robbins1 = g2_robbins1(k1_tarski(k1_xboole_0),k2_midsp_1,k7_vectsp_2) )).

fof(d2_robbins1,axiom,(
    k2_robbins1 = g3_robbins1(k1_tarski(k1_xboole_0),k2_midsp_1,k2_midsp_1,k7_vectsp_2) )).

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) ) ) )).

fof(d4_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k4_robbins1(A,B,C) = k3_robbins1(A,k1_lattices(A,k3_robbins1(A,B),k3_robbins1(A,C))) ) ) ) )).

fof(d5_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A) )
     => ( v4_robbins1(A)
      <=> ! [B] :
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => k3_robbins1(A,k1_lattices(A,k3_robbins1(A,k1_lattices(A,B,C)),k3_robbins1(A,k1_lattices(A,B,k3_robbins1(A,C))))) = B ) ) ) ) )).

fof(d6_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A) )
     => ( v5_robbins1(A)
      <=> ! [B] :
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => k1_lattices(A,k3_robbins1(A,k1_lattices(A,k3_robbins1(A,B),k3_robbins1(A,C))),k3_robbins1(A,k1_lattices(A,k3_robbins1(A,B),C))) = B ) ) ) ) )).

fof(d7_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l2_lattices(A) )
     => ( v6_robbins1(A)
      <=> ! [B] :
            ( m1_subset_1(B,u1_struct_0(A))
           => k1_lattices(A,B,B) = B ) ) ) )).

fof(t1_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_robbins1(A,k4_robbins1(A,B,C),k4_robbins1(A,B,k3_robbins1(A,C))) = B ) ) ) )).

fof(t2_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k5_robbins1(A,B,k3_robbins1(A,B)) = k5_robbins1(A,k3_robbins1(A,B),k3_robbins1(A,k3_robbins1(A,B))) ) ) )).

fof(t3_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k3_robbins1(A,k3_robbins1(A,B)) = B ) ) )).

fof(t4_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_robbins1(A,B,k3_robbins1(A,B)) = k5_robbins1(A,C,k3_robbins1(A,C)) ) ) ) )).

fof(t5_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & v6_robbins1(A)
        & l2_robbins1(A) )
     => ? [B] :
          ( m1_subset_1(B,u1_struct_0(A))
          & ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ( k5_robbins1(A,B,C) = B
                & k5_robbins1(A,C,k3_robbins1(A,C)) = B ) ) ) ) )).

fof(t6_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & v6_robbins1(A)
        & l2_robbins1(A) )
     => v14_lattices(A) ) )).

fof(d8_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & v6_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ( B = k6_lattices(A)
          <=> ? [C] :
                ( m1_subset_1(C,u1_struct_0(A))
                & B = k5_robbins1(A,C,k3_robbins1(A,C)) ) ) ) ) )).

fof(t7_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & v6_robbins1(A)
        & l2_robbins1(A) )
     => ? [B] :
          ( m1_subset_1(B,u1_struct_0(A))
          & ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ( k4_robbins1(A,B,C) = B
                & k3_robbins1(A,k5_robbins1(A,C,k3_robbins1(A,C))) = B ) ) ) ) )).

fof(t8_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k4_robbins1(A,B,C) = k4_robbins1(A,C,B) ) ) ) )).

fof(d9_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & v6_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ( B = k7_robbins1(A)
          <=> ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => k6_robbins1(A,B,C) = B ) ) ) ) )).

fof(t9_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & v6_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k7_robbins1(A) = k3_robbins1(A,k5_robbins1(A,B,k3_robbins1(A,B))) ) ) )).

fof(t10_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & v6_robbins1(A)
        & l2_robbins1(A) )
     => ( k3_robbins1(A,k6_lattices(A)) = k7_robbins1(A)
        & k6_lattices(A) = k3_robbins1(A,k7_robbins1(A)) ) ) )).

fof(t11_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ( k3_robbins1(A,B) = k3_robbins1(A,C)
               => B = C ) ) ) ) )).

fof(t12_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_robbins1(A,B,k3_robbins1(A,k5_robbins1(A,C,k3_robbins1(A,C)))) = B ) ) ) )).

fof(t13_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k5_robbins1(A,B,B) = B ) ) )).

fof(t14_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k5_robbins1(A,B,k7_robbins1(A)) = B ) ) )).

fof(t15_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k6_robbins1(A,B,k6_lattices(A)) = B ) ) )).

fof(t16_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k6_robbins1(A,B,k3_robbins1(A,B)) = k7_robbins1(A) ) ) )).

fof(t17_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(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))
                 => k6_robbins1(A,B,k6_robbins1(A,C,D)) = k6_robbins1(A,k6_robbins1(A,B,C),D) ) ) ) ) )).

fof(t18_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_robbins1(A,B,C) = k3_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),k3_robbins1(A,C))) ) ) ) )).

fof(t19_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k6_robbins1(A,B,B) = B ) ) )).

fof(t20_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k5_robbins1(A,B,k6_lattices(A)) = k6_lattices(A) ) ) )).

fof(t21_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_robbins1(A,B,k6_robbins1(A,B,C)) = B ) ) ) )).

fof(t22_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k6_robbins1(A,B,k5_robbins1(A,B,C)) = B ) ) ) )).

fof(t23_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ( ( k5_robbins1(A,k3_robbins1(A,B),C) = k6_lattices(A)
                  & k5_robbins1(A,k3_robbins1(A,C),B) = k6_lattices(A) )
               => B = C ) ) ) ) )).

fof(t24_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ( ( k5_robbins1(A,B,C) = k6_lattices(A)
                  & k6_robbins1(A,B,C) = k7_robbins1(A) )
               => k3_robbins1(A,B) = C ) ) ) ) )).

fof(t25_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(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))
                 => k5_robbins1(A,k5_robbins1(A,k5_robbins1(A,k5_robbins1(A,k5_robbins1(A,k5_robbins1(A,k5_robbins1(A,k6_robbins1(A,k6_robbins1(A,B,C),D),k6_robbins1(A,k6_robbins1(A,B,C),k3_robbins1(A,D))),k6_robbins1(A,k6_robbins1(A,B,k3_robbins1(A,C)),D)),k6_robbins1(A,k6_robbins1(A,B,k3_robbins1(A,C)),k3_robbins1(A,D))),k6_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),C),D)),k6_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),C),k3_robbins1(A,D))),k6_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),k3_robbins1(A,C)),D)),k6_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),k3_robbins1(A,C)),k3_robbins1(A,D))) = k6_lattices(A) ) ) ) ) )).

fof(t26_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(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))
                 => ( k6_robbins1(A,k6_robbins1(A,B,D),k6_robbins1(A,C,k3_robbins1(A,D))) = k7_robbins1(A)
                    & k6_robbins1(A,k6_robbins1(A,k6_robbins1(A,B,C),D),k6_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),C),D)) = k7_robbins1(A)
                    & k6_robbins1(A,k6_robbins1(A,k6_robbins1(A,B,k3_robbins1(A,C)),D),k6_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),C),D)) = k7_robbins1(A)
                    & k6_robbins1(A,k6_robbins1(A,k6_robbins1(A,B,C),D),k6_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),k3_robbins1(A,C)),D)) = k7_robbins1(A)
                    & k6_robbins1(A,k6_robbins1(A,k6_robbins1(A,B,C),k3_robbins1(A,D)),k6_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),k3_robbins1(A,C)),k3_robbins1(A,D))) = k7_robbins1(A)
                    & k6_robbins1(A,k6_robbins1(A,k6_robbins1(A,B,k3_robbins1(A,C)),D),k6_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),C),D)) = k7_robbins1(A) ) ) ) ) ) )).

fof(t27_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(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))
                 => k5_robbins1(A,k6_robbins1(A,B,C),k6_robbins1(A,B,D)) = k5_robbins1(A,k5_robbins1(A,k6_robbins1(A,k6_robbins1(A,B,C),D),k6_robbins1(A,k6_robbins1(A,B,C),k3_robbins1(A,D))),k6_robbins1(A,k6_robbins1(A,B,k3_robbins1(A,C)),D)) ) ) ) ) )).

fof(t28_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(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))
                 => k3_robbins1(A,k6_robbins1(A,B,k5_robbins1(A,C,D))) = k5_robbins1(A,k5_robbins1(A,k5_robbins1(A,k5_robbins1(A,k6_robbins1(A,k6_robbins1(A,B,k3_robbins1(A,C)),k3_robbins1(A,D)),k6_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),C),D)),k6_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),C),k3_robbins1(A,D))),k6_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),k3_robbins1(A,C)),D)),k6_robbins1(A,k6_robbins1(A,k3_robbins1(A,B),k3_robbins1(A,C)),k3_robbins1(A,D))) ) ) ) ) )).

fof(t29_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(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))
                 => k5_robbins1(A,k5_robbins1(A,k6_robbins1(A,B,C),k6_robbins1(A,B,D)),k3_robbins1(A,k6_robbins1(A,B,k5_robbins1(A,C,D)))) = k6_lattices(A) ) ) ) ) )).

fof(t30_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(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))
                 => k6_robbins1(A,k5_robbins1(A,k6_robbins1(A,B,C),k6_robbins1(A,B,D)),k3_robbins1(A,k6_robbins1(A,B,k5_robbins1(A,C,D)))) = k7_robbins1(A) ) ) ) ) )).

fof(t31_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(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))
                 => k6_robbins1(A,B,k5_robbins1(A,C,D)) = k5_robbins1(A,k6_robbins1(A,B,C),k6_robbins1(A,B,D)) ) ) ) ) )).

fof(t32_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(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))
                 => k5_robbins1(A,B,k6_robbins1(A,C,D)) = k6_robbins1(A,k5_robbins1(A,B,C),k5_robbins1(A,B,D)) ) ) ) ) )).

fof(d10_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l3_robbins1(A) )
     => ( v7_robbins1(A)
      <=> ! [B] :
            ( m1_subset_1(B,u1_struct_0(A))
           => r2_lattices(A,k3_robbins1(A,B),B) ) ) ) )).

fof(t33_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & v11_lattices(A)
        & v7_robbins1(A)
        & l3_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k3_robbins1(A,k3_robbins1(A,B)) = B ) ) )).

fof(t34_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & v11_lattices(A)
        & v15_lattices(A)
        & v7_robbins1(A)
        & l3_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k4_lattices(A,B,C) = k3_robbins1(A,k3_lattices(A,k3_robbins1(A,B),k3_robbins1(A,C))) ) ) ) )).

fof(d11_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( ( v3_robbins1(B)
            & l3_robbins1(B) )
         => ( B = k8_robbins1(A)
          <=> ( u1_struct_0(B) = u1_struct_0(A)
              & u2_lattices(B) = u2_lattices(A)
              & u1_robbins1(B) = u1_robbins1(A)
              & ! [C] :
                  ( m1_subset_1(C,u1_struct_0(A))
                 => ! [D] :
                      ( m1_subset_1(D,u1_struct_0(A))
                     => k1_binop_1(u1_lattices(B),C,D) = k4_robbins1(A,C,D) ) ) ) ) ) ) )).

fof(t35_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(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(k8_robbins1(A)))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(k8_robbins1(A)))
                     => ( ( B = D
                          & C = E )
                       => ( k4_robbins1(A,B,C) = k2_lattices(k8_robbins1(A),D,E)
                          & k1_lattices(A,B,C) = k1_lattices(k8_robbins1(A),D,E)
                          & k3_robbins1(A,B) = k3_robbins1(k8_robbins1(A),D) ) ) ) ) ) ) ) )).

fof(t36_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & l2_robbins1(A) )
     => k7_robbins1(A) = k5_lattices(k8_robbins1(A)) ) )).

fof(d12_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & l2_robbins1(A) )
     => ( v5_robbins1(A)
      <=> ! [B] :
            ( m1_subset_1(B,u1_struct_0(A))
           => ! [C] :
                ( m1_subset_1(C,u1_struct_0(A))
               => k5_robbins1(A,k3_robbins1(A,k5_robbins1(A,k3_robbins1(A,B),k3_robbins1(A,C))),k3_robbins1(A,k5_robbins1(A,B,k3_robbins1(A,C)))) = C ) ) ) ) )).

fof(d13_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A) )
     => ( v8_robbins1(A)
      <=> ? [B] :
            ( m1_subset_1(B,u1_struct_0(A))
            & k1_lattices(A,B,B) = B ) ) ) )).

fof(d14_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k9_robbins1(A,B,C) = k3_robbins1(A,k1_lattices(A,k3_robbins1(A,B),C)) ) ) ) )).

fof(d15_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k10_robbins1(A,B,C) = k9_robbins1(A,k1_lattices(A,B,C),k9_robbins1(A,B,C)) ) ) ) )).

fof(d16_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k11_robbins1(A,B) = k3_robbins1(A,k1_lattices(A,k3_robbins1(A,B),B)) ) ) )).

fof(d17_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k12_robbins1(A,B) = k1_lattices(A,B,B) ) ) )).

fof(d18_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k13_robbins1(A,B) = k1_lattices(A,k11_robbins1(A,B),B) ) ) )).

fof(d19_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k14_robbins1(A,B) = k1_lattices(A,k11_robbins1(A,B),k12_robbins1(A,B)) ) ) )).

fof(d20_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k15_robbins1(A,B) = k1_lattices(A,k11_robbins1(A,B),k1_lattices(A,k12_robbins1(A,B),B)) ) ) )).

fof(d21_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k16_robbins1(A,B) = k1_lattices(A,k11_robbins1(A,B),k1_lattices(A,k12_robbins1(A,B),k12_robbins1(A,B))) ) ) )).

fof(t37_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k9_robbins1(A,k5_robbins1(A,B,C),k9_robbins1(A,B,C)) = C ) ) ) )).

fof(t38_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k10_robbins1(A,B,C) = C ) ) ) )).

fof(t39_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(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))
                 => k9_robbins1(A,k5_robbins1(A,k3_robbins1(A,B),C),D) = k3_robbins1(A,k5_robbins1(A,k9_robbins1(A,B,C),D)) ) ) ) ) )).

fof(t40_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k9_robbins1(A,B,B) = k11_robbins1(A,B) ) ) )).

fof(t41_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k9_robbins1(A,k12_robbins1(A,B),k11_robbins1(A,B)) = B ) ) )).

fof(t42_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k9_robbins1(A,k14_robbins1(A,B),B) = k11_robbins1(A,B) ) ) )).

fof(t43_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k5_robbins1(A,k14_robbins1(A,B),B) = k15_robbins1(A,B) ) ) )).

fof(t44_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k5_robbins1(A,k16_robbins1(A,B),k11_robbins1(A,B)) = k5_robbins1(A,k15_robbins1(A,B),k13_robbins1(A,B)) ) ) )).

fof(t45_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k5_robbins1(A,k15_robbins1(A,B),k11_robbins1(A,B)) = k5_robbins1(A,k14_robbins1(A,B),k13_robbins1(A,B)) ) ) )).

fof(t46_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k5_robbins1(A,k15_robbins1(A,B),B) = k16_robbins1(A,B) ) ) )).

fof(t47_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k9_robbins1(A,k15_robbins1(A,B),k11_robbins1(A,B)) = B ) ) )).

fof(t48_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(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))
                 => ( k3_robbins1(A,B) = k3_robbins1(A,C)
                   => k9_robbins1(A,B,D) = k9_robbins1(A,C,D) ) ) ) ) ) )).

fof(t49_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k9_robbins1(A,B,k3_robbins1(A,C)) = k9_robbins1(A,C,k3_robbins1(A,B)) ) ) ) )).

fof(t50_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k9_robbins1(A,k15_robbins1(A,B),B) = k11_robbins1(A,B) ) ) )).

fof(t51_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k9_robbins1(A,k5_robbins1(A,k13_robbins1(A,B),k15_robbins1(A,B)),B) = k11_robbins1(A,B) ) ) )).

fof(t52_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k9_robbins1(A,k5_robbins1(A,k13_robbins1(A,B),k14_robbins1(A,B)),B) = k11_robbins1(A,B) ) ) )).

fof(t53_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k9_robbins1(A,k5_robbins1(A,k13_robbins1(A,B),k15_robbins1(A,B)),k11_robbins1(A,B)) = B ) ) )).

fof(d22_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k17_robbins1(A,B) = k5_robbins1(A,k5_robbins1(A,k3_robbins1(A,k5_robbins1(A,k13_robbins1(A,B),k15_robbins1(A,B))),B),k3_robbins1(A,k15_robbins1(A,B))) ) ) )).

fof(t54_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k9_robbins1(A,k17_robbins1(A,B),B) = k3_robbins1(A,k15_robbins1(A,B)) ) ) )).

fof(t55_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k9_robbins1(A,k17_robbins1(A,B),B) = k3_robbins1(A,k5_robbins1(A,k13_robbins1(A,B),k15_robbins1(A,B))) ) ) )).

fof(t56_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ? [B] :
          ( m1_subset_1(B,u1_struct_0(A))
          & ? [C] :
              ( m1_subset_1(C,u1_struct_0(A))
              & k3_robbins1(A,k5_robbins1(A,B,C)) = k3_robbins1(A,C) ) ) ) )).

fof(t57_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ( ! [B] :
            ( m1_subset_1(B,u1_struct_0(A))
           => k3_robbins1(A,k3_robbins1(A,B)) = B )
       => v5_robbins1(A) ) ) )).

fof(t58_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ( v8_robbins1(A)
       => v5_robbins1(A) ) ) )).

fof(t59_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ( ? [B] :
            ( m1_subset_1(B,u1_struct_0(A))
            & ? [C] :
                ( m1_subset_1(C,u1_struct_0(A))
                & k5_robbins1(A,B,C) = B ) )
       => v5_robbins1(A) ) ) )).

fof(t60_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A) )
     => ? [B] :
          ( m1_subset_1(B,u1_struct_0(A))
          & ? [C] :
              ( m1_subset_1(C,u1_struct_0(A))
              & k5_robbins1(A,B,C) = C ) ) ) )).

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))) ) ) ) ) )).

fof(t61_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v6_lattices(A)
        & v7_robbins1(A)
        & l3_robbins1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ( k5_robbins1(A,B,k3_robbins1(A,B)) = k6_lattices(A)
            & k4_lattices(A,B,k3_robbins1(A,B)) = k5_lattices(A) ) ) ) )).

fof(t62_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & v11_lattices(A)
        & v15_lattices(A)
        & v7_robbins1(A)
        & l3_robbins1(A) )
     => k3_robbins1(A,k6_lattices(A)) = k5_lattices(A) ) )).

fof(t63_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_lattices(A)
        & v5_robbins1(A)
        & v9_robbins1(A)
        & l3_robbins1(A) )
     => k7_robbins1(A) = k5_lattices(A) ) )).

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

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

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

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

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

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

fof(abstractness_v1_robbins1,axiom,(
    ! [A] :
      ( l1_robbins1(A)
     => ( v1_robbins1(A)
       => A = g1_robbins1(u1_struct_0(A),u1_robbins1(A)) ) ) )).

fof(abstractness_v2_robbins1,axiom,(
    ! [A] :
      ( l2_robbins1(A)
     => ( v2_robbins1(A)
       => A = g2_robbins1(u1_struct_0(A),u2_lattices(A),u1_robbins1(A)) ) ) )).

fof(abstractness_v3_robbins1,axiom,(
    ! [A] :
      ( l3_robbins1(A)
     => ( v3_robbins1(A)
       => A = g3_robbins1(u1_struct_0(A),u2_lattices(A),u1_lattices(A),u1_robbins1(A)) ) ) )).

fof(dt_k1_robbins1,axiom,
    ( v2_robbins1(k1_robbins1)
    & l2_robbins1(k1_robbins1) )).

fof(dt_k2_robbins1,axiom,
    ( v3_robbins1(k2_robbins1)
    & l3_robbins1(k2_robbins1) )).

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)) ) )).

fof(dt_k4_robbins1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k4_robbins1(A,B,C),u1_struct_0(A)) ) )).

fof(dt_k5_robbins1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & l2_robbins1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k5_robbins1(A,B,C),u1_struct_0(A)) ) )).

fof(commutativity_k5_robbins1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & l2_robbins1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k5_robbins1(A,B,C) = k5_robbins1(A,C,B) ) )).

fof(redefinition_k5_robbins1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & l2_robbins1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k5_robbins1(A,B,C) = k1_lattices(A,B,C) ) )).

fof(dt_k6_robbins1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & l2_robbins1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k6_robbins1(A,B,C),u1_struct_0(A)) ) )).

fof(commutativity_k6_robbins1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & l2_robbins1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k6_robbins1(A,B,C) = k6_robbins1(A,C,B) ) )).

fof(redefinition_k6_robbins1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & l2_robbins1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => k6_robbins1(A,B,C) = k4_robbins1(A,B,C) ) )).

fof(dt_k7_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v5_robbins1(A)
        & v6_robbins1(A)
        & l2_robbins1(A) )
     => m1_subset_1(k7_robbins1(A),u1_struct_0(A)) ) )).

fof(dt_k8_robbins1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A) )
     => ( v3_robbins1(k8_robbins1(A))
        & l3_robbins1(k8_robbins1(A)) ) ) )).

fof(dt_k9_robbins1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k9_robbins1(A,B,C),u1_struct_0(A)) ) )).

fof(dt_k10_robbins1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A)
        & m1_subset_1(B,u1_struct_0(A))
        & m1_subset_1(C,u1_struct_0(A)) )
     => m1_subset_1(k10_robbins1(A,B,C),u1_struct_0(A)) ) )).

fof(dt_k11_robbins1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => m1_subset_1(k11_robbins1(A,B),u1_struct_0(A)) ) )).

fof(dt_k12_robbins1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => m1_subset_1(k12_robbins1(A,B),u1_struct_0(A)) ) )).

fof(dt_k13_robbins1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => m1_subset_1(k13_robbins1(A,B),u1_struct_0(A)) ) )).

fof(dt_k14_robbins1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => m1_subset_1(k14_robbins1(A,B),u1_struct_0(A)) ) )).

fof(dt_k15_robbins1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => m1_subset_1(k15_robbins1(A,B),u1_struct_0(A)) ) )).

fof(dt_k16_robbins1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & l2_robbins1(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => m1_subset_1(k16_robbins1(A,B),u1_struct_0(A)) ) )).

fof(dt_k17_robbins1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v4_lattices(A)
        & v5_lattices(A)
        & v4_robbins1(A)
        & l2_robbins1(A)
        & m1_subset_1(B,u1_struct_0(A)) )
     => m1_subset_1(k17_robbins1(A,B),u1_struct_0(A)) ) )).

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)) ) ) )).

fof(dt_g1_robbins1,axiom,(
    ! [A,B] :
      ( ( v1_funct_1(B)
        & v1_funct_2(B,A,A)
        & m1_relset_1(B,A,A) )
     => ( v1_robbins1(g1_robbins1(A,B))
        & l1_robbins1(g1_robbins1(A,B)) ) ) )).

fof(free_g1_robbins1,axiom,(
    ! [A,B] :
      ( ( v1_funct_1(B)
        & v1_funct_2(B,A,A)
        & m1_relset_1(B,A,A) )
     => ! [C,D] :
          ( g1_robbins1(A,B) = g1_robbins1(C,D)
         => ( A = C
            & B = D ) ) ) )).

fof(dt_g2_robbins1,axiom,(
    ! [A,B,C] :
      ( ( v1_funct_1(B)
        & v1_funct_2(B,k2_zfmisc_1(A,A),A)
        & m1_relset_1(B,k2_zfmisc_1(A,A),A)
        & v1_funct_1(C)
        & v1_funct_2(C,A,A)
        & m1_relset_1(C,A,A) )
     => ( v2_robbins1(g2_robbins1(A,B,C))
        & l2_robbins1(g2_robbins1(A,B,C)) ) ) )).

fof(free_g2_robbins1,axiom,(
    ! [A,B,C] :
      ( ( v1_funct_1(B)
        & v1_funct_2(B,k2_zfmisc_1(A,A),A)
        & m1_relset_1(B,k2_zfmisc_1(A,A),A)
        & v1_funct_1(C)
        & v1_funct_2(C,A,A)
        & m1_relset_1(C,A,A) )
     => ! [D,E,F] :
          ( g2_robbins1(A,B,C) = g2_robbins1(D,E,F)
         => ( A = D
            & B = E
            & C = F ) ) ) )).

fof(dt_g3_robbins1,axiom,(
    ! [A,B,C,D] :
      ( ( v1_funct_1(B)
        & v1_funct_2(B,k2_zfmisc_1(A,A),A)
        & m1_relset_1(B,k2_zfmisc_1(A,A),A)
        & v1_funct_1(C)
        & v1_funct_2(C,k2_zfmisc_1(A,A),A)
        & m1_relset_1(C,k2_zfmisc_1(A,A),A)
        & v1_funct_1(D)
        & v1_funct_2(D,A,A)
        & m1_relset_1(D,A,A) )
     => ( v3_robbins1(g3_robbins1(A,B,C,D))
        & l3_robbins1(g3_robbins1(A,B,C,D)) ) ) )).

fof(free_g3_robbins1,axiom,(
    ! [A,B,C,D] :
      ( ( v1_funct_1(B)
        & v1_funct_2(B,k2_zfmisc_1(A,A),A)
        & m1_relset_1(B,k2_zfmisc_1(A,A),A)
        & v1_funct_1(C)
        & v1_funct_2(C,k2_zfmisc_1(A,A),A)
        & m1_relset_1(C,k2_zfmisc_1(A,A),A)
        & v1_funct_1(D)
        & v1_funct_2(D,A,A)
        & m1_relset_1(D,A,A) )
     => ! [E,F,G,H] :
          ( g3_robbins1(A,B,C,D) = g3_robbins1(E,F,G,H)
         => ( A = E
            & B = F
            & C = G
            & D = H ) ) ) )).
%------------------------------------------------------------------------------