SET007 Axioms: SET007+849.ax


%------------------------------------------------------------------------------
% File     : SET007+849 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : Short Sheffer Stroke-Based Single Axiom for 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    : sheffer2 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :  171 (   0 unit)
%            Number of atoms       : 1394 ( 158 equality)
%            Maximal formula depth :   28 (   9 average)
%            Number of connectives : 1401 ( 178 ~  ;   0  |; 602  &)
%                                         (   1 <=>; 620 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   31 (   0 propositional; 1-2 arity)
%            Number of functors    :    2 (   0 constant; 1-3 arity)
%            Number of variables   :  612 (   0 singleton; 610 !;   2 ?)
%            Maximal term depth    :    8 (   2 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(cc1_sheffer2,axiom,(
    ! [A] :
      ( l1_sheffer1(A)
     => ( ( ~ v3_struct_0(A)
          & v3_realset2(A) )
       => ( ~ v3_struct_0(A)
          & v1_sheffer2(A) ) ) ) )).

fof(rc1_sheffer2,axiom,(
    ? [A] :
      ( l1_sheffer1(A)
      & ~ v3_struct_0(A)
      & v10_sheffer1(A)
      & v11_sheffer1(A)
      & v12_sheffer1(A)
      & v1_sheffer2(A) ) )).

fof(rc2_sheffer2,axiom,(
    ? [A] :
      ( l3_sheffer1(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)
      & v7_robbins1(A)
      & v9_robbins1(A)
      & v1_sheffer1(A)
      & v2_sheffer1(A)
      & v3_sheffer1(A)
      & v4_sheffer1(A)
      & v9_sheffer1(A)
      & v10_sheffer1(A)
      & v11_sheffer1(A)
      & v12_sheffer1(A)
      & v1_sheffer2(A) ) )).

fof(cc2_sheffer2,axiom,(
    ! [A] :
      ( l3_sheffer1(A)
     => ( ( ~ v3_struct_0(A)
          & v9_sheffer1(A)
          & v10_sheffer1(A)
          & v11_sheffer1(A)
          & v12_sheffer1(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)
          & v1_sheffer1(A)
          & v2_sheffer1(A)
          & v3_sheffer1(A)
          & v4_sheffer1(A) ) ) ) )).

fof(cc3_sheffer2,axiom,(
    ! [A] :
      ( l3_sheffer1(A)
     => ( ( ~ v3_struct_0(A)
          & v10_lattices(A)
          & v17_lattices(A)
          & v7_robbins1(A)
          & v9_sheffer1(A) )
       => ( ~ v3_struct_0(A)
          & v10_sheffer1(A)
          & v11_sheffer1(A)
          & v12_sheffer1(A) ) ) ) )).

fof(cc4_sheffer2,axiom,(
    ! [A] :
      ( l1_sheffer1(A)
     => ( ( ~ v3_struct_0(A)
          & v10_sheffer1(A)
          & v11_sheffer1(A)
          & v12_sheffer1(A) )
       => ( ~ v3_struct_0(A)
          & v1_sheffer2(A) ) ) ) )).

fof(cc5_sheffer2,axiom,(
    ! [A] :
      ( l1_sheffer1(A)
     => ( ( ~ v3_struct_0(A)
          & v1_sheffer2(A) )
       => ( ~ v3_struct_0(A)
          & v10_sheffer1(A)
          & v11_sheffer1(A)
          & v12_sheffer1(A) ) ) ) )).

fof(cc6_sheffer2,axiom,(
    ! [A] :
      ( l3_sheffer1(A)
     => ( ( ~ v3_struct_0(A)
          & v9_sheffer1(A)
          & v1_sheffer2(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)
          & v1_sheffer1(A)
          & v2_sheffer1(A)
          & v3_sheffer1(A)
          & v4_sheffer1(A) ) ) ) )).

fof(cc7_sheffer2,axiom,(
    ! [A] :
      ( l3_sheffer1(A)
     => ( ( ~ v3_struct_0(A)
          & v10_lattices(A)
          & v17_lattices(A)
          & v7_robbins1(A)
          & v9_sheffer1(A) )
       => ( ~ v3_struct_0(A)
          & v10_sheffer1(A)
          & v11_sheffer1(A)
          & v12_sheffer1(A)
          & v1_sheffer2(A) ) ) ) )).

fof(d1_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_sheffer1(A) )
     => ( v1_sheffer2(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_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,C,B),B)),k5_sheffer1(A,C,k5_sheffer1(A,D,B))) = C ) ) ) ) ) )).

fof(t1_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,D)),k5_sheffer1(A,B,k5_sheffer1(A,B,k5_sheffer1(A,C,D)))),k5_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,k5_sheffer1(A,B,D),D)),k5_sheffer1(A,E,k5_sheffer1(A,B,k5_sheffer1(A,C,D))))) = k5_sheffer1(A,D,k5_sheffer1(A,k5_sheffer1(A,B,D),D)) ) ) ) ) ) )).

fof(t2_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,D,C),C)),k5_sheffer1(A,B,C)),k5_sheffer1(A,B,C))),D) = k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,D,C),C)) ) ) ) ) )).

fof(t3_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,C,B),B)),k5_sheffer1(A,C,k5_sheffer1(A,D,k5_sheffer1(A,k5_sheffer1(A,B,D),D)))) = C ) ) ) ) )).

fof(t4_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,B,B),B)),k5_sheffer1(A,C,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,B,B),B))))) = k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,B,B),B)) ) ) ) )).

fof(t5_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,B,B),B)) = k5_sheffer1(A,B,B) ) ) )).

fof(t6_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,B,B),B)),k5_sheffer1(A,B,B)) = B ) ) )).

fof(t7_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,B,k5_sheffer1(A,C,B))) = B ) ) ) )).

fof(t8_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,C),B),B)),C) = k5_sheffer1(A,C,C) ) ) ) )).

fof(t9_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,B,C)),k5_sheffer1(A,B,C))),k5_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,B,C))) = k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,B,C)),C),C)) ) ) ) )).

fof(t10_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,B),k5_sheffer1(A,C,B)),B),B)) = k5_sheffer1(A,C,B) ) ) ) )).

fof(t11_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,C,B)) = B ) ) ) )).

fof(t12_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,B,k5_sheffer1(A,C,k5_sheffer1(A,B,B))) = k5_sheffer1(A,B,B) ) ) ) )).

fof(t13_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,B,C)),C) = k5_sheffer1(A,B,C) ) ) ) )).

fof(t14_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,C,B),B)) = k5_sheffer1(A,C,B) ) ) ) )).

fof(t15_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,B,k5_sheffer1(A,D,C))) = B ) ) ) ) )).

fof(t16_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,D)),k5_sheffer1(A,B,D)) = B ) ) ) ) )).

fof(t17_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,D,C))) = k5_sheffer1(A,B,C) ) ) ) ) )).

fof(t18_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,D)),D),B) = k5_sheffer1(A,B,k5_sheffer1(A,C,D)) ) ) ) ) )).

fof(t19_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,C,B),B)) = k5_sheffer1(A,B,C) ) ) ) )).

fof(t20_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,B,C) = k5_sheffer1(A,C,B) ) ) ) )).

fof(t21_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,B,B)) = B ) ) ) )).

fof(t22_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,C,k5_sheffer1(A,D,B))) = C ) ) ) ) )).

fof(t23_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,D)),k5_sheffer1(A,D,B)) = B ) ) ) ) )).

fof(t24_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,C,k5_sheffer1(A,B,D))) = C ) ) ) ) )).

fof(t25_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,D)),k5_sheffer1(A,C,B)) = B ) ) ) ) )).

fof(t26_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,B,D)),D) = k5_sheffer1(A,B,D) ) ) ) ) )).

fof(t27_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,B,k5_sheffer1(A,C,k5_sheffer1(A,B,k5_sheffer1(A,C,D)))) = k5_sheffer1(A,B,k5_sheffer1(A,C,D)) ) ) ) ) )).

fof(t28_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,k5_sheffer1(A,B,D))),C) = k5_sheffer1(A,C,k5_sheffer1(A,B,D)) ) ) ) ) )).

fof(t29_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,D)),k5_sheffer1(A,B,k5_sheffer1(A,E,k5_sheffer1(A,C,B)))) = k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,D)),k5_sheffer1(A,C,B)) ) ) ) ) ) )).

fof(t30_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,k5_sheffer1(A,B,D))),C) = k5_sheffer1(A,C,k5_sheffer1(A,D,B)) ) ) ) ) )).

fof(t31_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,D)),k5_sheffer1(A,B,k5_sheffer1(A,E,k5_sheffer1(A,C,B)))) = B ) ) ) ) ) )).

fof(t32_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,B,k5_sheffer1(A,C,k5_sheffer1(A,B,C))) = k5_sheffer1(A,B,B) ) ) ) )).

fof(t33_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,B,k5_sheffer1(A,C,D)) = k5_sheffer1(A,B,k5_sheffer1(A,D,C)) ) ) ) ) )).

fof(t34_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,B,k5_sheffer1(A,C,k5_sheffer1(A,B,k5_sheffer1(A,D,k5_sheffer1(A,C,B))))) = k5_sheffer1(A,B,B) ) ) ) ) )).

fof(t35_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,D)),k5_sheffer1(A,k5_sheffer1(A,C,B),B)) = k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,D)),k5_sheffer1(A,B,k5_sheffer1(A,C,D))) ) ) ) ) )).

fof(t36_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,B)),C) = k5_sheffer1(A,C,C) ) ) ) )).

fof(t37_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,C),D) = k5_sheffer1(A,D,k5_sheffer1(A,C,B)) ) ) ) ) )).

fof(t38_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,B,k5_sheffer1(A,C,k5_sheffer1(A,D,k5_sheffer1(A,B,C)))) = k5_sheffer1(A,B,k5_sheffer1(A,C,C)) ) ) ) ) )).

fof(t39_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,C),C),k5_sheffer1(A,C,k5_sheffer1(A,D,B))) = k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,D,B)),k5_sheffer1(A,C,k5_sheffer1(A,D,B))) ) ) ) ) )).

fof(t40_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => k5_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,D,E)) = k5_sheffer1(A,k5_sheffer1(A,E,D),k5_sheffer1(A,C,B)) ) ) ) ) ) )).

fof(t41_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,B,k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,C,B),D))) = k5_sheffer1(A,B,k5_sheffer1(A,C,C)) ) ) ) ) )).

fof(t42_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,B,k5_sheffer1(A,C,B)) = k5_sheffer1(A,B,k5_sheffer1(A,C,C)) ) ) ) )).

fof(t43_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,B,C),C) = k5_sheffer1(A,C,k5_sheffer1(A,B,B)) ) ) ) )).

fof(t44_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,B,k5_sheffer1(A,C,C)) = k5_sheffer1(A,B,k5_sheffer1(A,B,C)) ) ) ) )).

fof(t45_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,C)),k5_sheffer1(A,B,k5_sheffer1(A,D,C))) = k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,D,C)),k5_sheffer1(A,B,k5_sheffer1(A,D,C))) ) ) ) ) )).

fof(t46_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,D)),k5_sheffer1(A,B,k5_sheffer1(A,C,C))) = k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,D)),k5_sheffer1(A,B,k5_sheffer1(A,C,D))) ) ) ) ) )).

fof(t47_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,D,k5_sheffer1(A,B,k5_sheffer1(A,B,C))))) = k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,C,C))) ) ) ) ) )).

fof(t48_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,D)),k5_sheffer1(A,B,k5_sheffer1(A,C,D))),k5_sheffer1(A,C,C)) = k5_sheffer1(A,B,k5_sheffer1(A,C,C)) ) ) ) ) )).

fof(t49_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,D,k5_sheffer1(A,B,k5_sheffer1(A,B,C))))) = k5_sheffer1(A,B,C) ) ) ) ) )).

fof(t50_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,B,C)),k5_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,k5_sheffer1(A,B,C),D)),k5_sheffer1(A,B,C))),k5_sheffer1(A,B,B)) = k5_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,k5_sheffer1(A,B,C),D)),k5_sheffer1(A,B,B)) ) ) ) ) )).

fof(t51_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,C,D),B)),k5_sheffer1(A,C,C)) = k5_sheffer1(A,k5_sheffer1(A,C,D),k5_sheffer1(A,C,C)) ) ) ) ) )).

fof(t52_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,C,D),B)),k5_sheffer1(A,C,C)) = C ) ) ) ) )).

fof(t53_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,B,D),C)),B)) = k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,B,D),C)) ) ) ) ) )).

fof(t54_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,C,k5_sheffer1(A,D,B))),B)) = k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,k5_sheffer1(A,B,D))),C)) ) ) ) ) )).

fof(t55_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,C,k5_sheffer1(A,D,B))),B)) = k5_sheffer1(A,C,k5_sheffer1(A,C,k5_sheffer1(A,D,B))) ) ) ) ) )).

fof(t56_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => k5_sheffer1(A,B,k5_sheffer1(A,C,k5_sheffer1(A,D,k5_sheffer1(A,D,k5_sheffer1(A,E,k5_sheffer1(A,C,B)))))) = k5_sheffer1(A,B,k5_sheffer1(A,C,C)) ) ) ) ) ) )).

fof(t57_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,B,k5_sheffer1(A,C,k5_sheffer1(A,C,k5_sheffer1(A,D,k5_sheffer1(A,B,C))))) = k5_sheffer1(A,B,k5_sheffer1(A,C,k5_sheffer1(A,B,B))) ) ) ) ) )).

fof(t58_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,B,k5_sheffer1(A,C,k5_sheffer1(A,C,k5_sheffer1(A,D,k5_sheffer1(A,B,C))))) = k5_sheffer1(A,B,B) ) ) ) ) )).

fof(t59_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,B,k5_sheffer1(A,C,k5_sheffer1(A,C,C))) = k5_sheffer1(A,B,B) ) ) ) )).

fof(t60_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,D,B)),k5_sheffer1(A,C,k5_sheffer1(A,D,B))),k5_sheffer1(A,D,D))) = k5_sheffer1(A,B,k5_sheffer1(A,C,k5_sheffer1(A,D,B))) ) ) ) ) )).

fof(t61_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,B,k5_sheffer1(A,C,k5_sheffer1(A,D,D))) = k5_sheffer1(A,B,k5_sheffer1(A,C,k5_sheffer1(A,D,B))) ) ) ) ) )).

fof(t62_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,B,k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,D,D),B))) = k5_sheffer1(A,B,k5_sheffer1(A,C,D)) ) ) ) ) )).

fof(t63_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,C)),k5_sheffer1(A,B,k5_sheffer1(A,D,k5_sheffer1(A,k5_sheffer1(A,C,C),B)))) = k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,D,C)),k5_sheffer1(A,B,k5_sheffer1(A,D,C))) ) ) ) ) )).

fof(t64_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,C)),k5_sheffer1(A,B,k5_sheffer1(A,D,k5_sheffer1(A,B,k5_sheffer1(A,C,C))))) = k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,D,C)),k5_sheffer1(A,B,k5_sheffer1(A,D,C))) ) ) ) ) )).

fof(t65_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,C)),k5_sheffer1(A,B,k5_sheffer1(A,D,D))) = k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,D,C)),k5_sheffer1(A,B,k5_sheffer1(A,D,C))) ) ) ) ) )).

fof(t66_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_sheffer2(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),C),k5_sheffer1(A,k5_sheffer1(A,D,D),C)) = k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,B,D)),k5_sheffer1(A,C,k5_sheffer1(A,B,D))) ) ) ) ) )).

fof(t67_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_sheffer1(A) )
     => ( v1_sheffer2(A)
       => v10_sheffer1(A) ) ) )).

fof(t68_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_sheffer1(A) )
     => ( v1_sheffer2(A)
       => v11_sheffer1(A) ) ) )).

fof(t69_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_sheffer1(A) )
     => ( v1_sheffer2(A)
       => v12_sheffer1(A) ) ) )).

fof(t70_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,B,B),B)) = k5_sheffer1(A,C,C) ) ) ) )).

fof(t71_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => C = k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,B,k5_sheffer1(A,B,B))) ) ) ) )).

fof(t72_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,C,k5_sheffer1(A,B,k5_sheffer1(A,B,B)))) = C ) ) ) )).

fof(t73_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C),k5_sheffer1(A,k5_sheffer1(A,B,B),C)) = k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,E,B)),k5_sheffer1(A,C,k5_sheffer1(A,E,B))) ) ) ) ) ) )).

fof(t74_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,D,C),k5_sheffer1(A,k5_sheffer1(A,B,B),C)) = k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,D,D),B)),k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,D,D),B))) ) ) ) ) )).

fof(t75_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),C),k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C)) = k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,B,E)),k5_sheffer1(A,C,k5_sheffer1(A,B,E))) ) ) ) ) ) )).

fof(t76_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => C = k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,k5_sheffer1(A,B,B),B)) ) ) ) )).

fof(t77_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,B,B),B))) = C ) ) ) )).

fof(t78_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,B,B),B)),k5_sheffer1(A,C,C)) = C ) ) ) )).

fof(t79_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,k5_sheffer1(A,C,C),C)),k5_sheffer1(A,B,k5_sheffer1(A,B,B))) = D ) ) ) ) )).

fof(t80_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,C,C)),k5_sheffer1(A,D,k5_sheffer1(A,C,C))),k5_sheffer1(A,B,k5_sheffer1(A,B,B))) = k5_sheffer1(A,k5_sheffer1(A,C,C),D) ) ) ) ) )).

fof(t81_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,C,k5_sheffer1(A,B,B)) = k5_sheffer1(A,k5_sheffer1(A,B,B),C) ) ) ) )).

fof(t82_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,C,B) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,B,B)),C) ) ) ) )).

fof(t83_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,C,B) = k5_sheffer1(A,B,C) ) ) ) )).

fof(t84_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,C,B),k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,B,B)))) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,B,B)),C),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,B,B)),C)) ) ) ) )).

fof(t85_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,C,B),k5_sheffer1(A,C,B)) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,B,B)),C),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,B,B)),C)) ) ) ) )).

fof(t86_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,C,B),k5_sheffer1(A,C,B)) = k5_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,B,B)),C)) ) ) ) )).

fof(t87_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,C,B),k5_sheffer1(A,C,B)) = k5_sheffer1(A,k5_sheffer1(A,B,C),k5_sheffer1(A,B,C)) ) ) ) )).

fof(t88_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,C),k5_sheffer1(A,k5_sheffer1(A,B,B),B)),k5_sheffer1(A,k5_sheffer1(A,D,C),k5_sheffer1(A,D,C))) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,D),k5_sheffer1(A,D,C)),k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,D,C))) ) ) ) ) )).

fof(t89_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,C,B) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,C,B)),k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,C,B))) ) ) ) )).

fof(t90_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,B,B),B))) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,B,B)),C),k5_sheffer1(A,k5_sheffer1(A,B,B),C)) ) ) ) )).

fof(t91_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => B = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,C,C)),B),k5_sheffer1(A,k5_sheffer1(A,C,C),B)) ) ) ) )).

fof(t92_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => B = k5_sheffer1(A,k5_sheffer1(A,C,B),k5_sheffer1(A,k5_sheffer1(A,C,C),B)) ) ) ) )).

fof(t93_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,D),C),k5_sheffer1(A,k5_sheffer1(A,B,B),C)),k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,D,B)),k5_sheffer1(A,C,k5_sheffer1(A,D,B)))) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,C,k5_sheffer1(A,D,B))),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,B),k5_sheffer1(A,D,B)),k5_sheffer1(A,C,k5_sheffer1(A,D,B)))) ) ) ) ) )).

fof(t94_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,D),C),k5_sheffer1(A,k5_sheffer1(A,B,B),C)),k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,D,B)),k5_sheffer1(A,C,k5_sheffer1(A,D,B)))) = k5_sheffer1(A,C,k5_sheffer1(A,D,B)) ) ) ) ) )).

fof(t95_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,C,k5_sheffer1(A,B,k5_sheffer1(A,B,B)))) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),C),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,B,B)),C)) ) ) ) )).

fof(t96_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => B = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,C),B),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,C,C)),B)) ) ) ) )).

fof(t97_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => B = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,C),B),k5_sheffer1(A,C,B)) ) ) ) )).

fof(t98_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,D),C),k5_sheffer1(A,k5_sheffer1(A,B,B),C)),k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,D,B)),k5_sheffer1(A,C,k5_sheffer1(A,D,B)))) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,B,B)),k5_sheffer1(A,k5_sheffer1(A,D,D),C)),k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,k5_sheffer1(A,D,D),C))) ) ) ) ) )).

fof(t99_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,B,k5_sheffer1(A,D,C)) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,C,C)),k5_sheffer1(A,k5_sheffer1(A,D,D),B)),k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,k5_sheffer1(A,D,D),B))) ) ) ) ) )).

fof(t100_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,B,k5_sheffer1(A,D,C)) = k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,D,D),B)),k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,k5_sheffer1(A,D,D),B))) ) ) ) ) )).

fof(t101_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,B,B) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,C),C),B) ) ) ) )).

fof(t102_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,C,B),k5_sheffer1(A,k5_sheffer1(A,B,B),C)) = C ) ) ) )).

fof(t103_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,k5_sheffer1(A,B,B),B))) = k5_sheffer1(A,k5_sheffer1(A,B,B),B) ) ) ) )).

fof(t104_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,C,C),C) = k5_sheffer1(A,k5_sheffer1(A,B,B),B) ) ) ) )).

fof(t105_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,C,B),k5_sheffer1(A,B,k5_sheffer1(A,C,C))) = B ) ) ) )).

fof(t106_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,B,B)),k5_sheffer1(A,B,C)) = C ) ) ) )).

fof(t107_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,C,B),k5_sheffer1(A,C,k5_sheffer1(A,B,B))) = C ) ) ) )).

fof(t108_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,B,B)),k5_sheffer1(A,C,k5_sheffer1(A,B,B))),k5_sheffer1(A,B,C))) = k5_sheffer1(A,B,C) ) ) ) )).

fof(t109_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,B,B)),k5_sheffer1(A,C,B)) = C ) ) ) )).

fof(t110_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,E,E),E),D),k5_sheffer1(A,k5_sheffer1(A,C,C),D)) = k5_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,B,B)),k5_sheffer1(A,B,k5_sheffer1(A,B,B))),C)),k5_sheffer1(A,D,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,B,B)),k5_sheffer1(A,B,k5_sheffer1(A,B,B))),C))) ) ) ) ) ) )).

fof(t111_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,k5_sheffer1(A,C,C),B)) = k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,D,D)),k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C)),k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,D,D)),k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C))) ) ) ) ) )).

fof(t112_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,D),k5_sheffer1(A,B,k5_sheffer1(A,D,k5_sheffer1(A,C,k5_sheffer1(A,C,C))))) = B ) ) ) ) )).

fof(t113_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,D,k5_sheffer1(A,C,k5_sheffer1(A,C,C)))),k5_sheffer1(A,B,D)) = B ) ) ) ) )).

fof(t114_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,D),D),C),k5_sheffer1(A,k5_sheffer1(A,B,B),C)) = k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,C,C),B)),k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,C,C),B))) ) ) ) ) )).

fof(t115_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,D),C)),k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,D),C))),k5_sheffer1(A,k5_sheffer1(A,D,B),k5_sheffer1(A,k5_sheffer1(A,C,C),B))) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,C,C)),k5_sheffer1(A,D,B)),k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,D,B))) ) ) ) ) )).

fof(t116_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,D),C)),k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,D),C))),k5_sheffer1(A,k5_sheffer1(A,D,B),k5_sheffer1(A,k5_sheffer1(A,C,C),B))) = k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,D,B)),k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,D,B))) ) ) ) ) )).

fof(t117_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,k5_sheffer1(A,D,D),C)),k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,C,C),D)),k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,C,C),D)))) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,D),C),k5_sheffer1(A,B,C)),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,D),C),k5_sheffer1(A,B,C))) ) ) ) ) )).

fof(t118_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,D,C)),k5_sheffer1(A,C,k5_sheffer1(A,D,C))),k5_sheffer1(A,B,k5_sheffer1(A,B,B))) = k5_sheffer1(A,k5_sheffer1(A,D,D),C) ) ) ) ) )).

fof(t119_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,B,k5_sheffer1(A,C,B)) = k5_sheffer1(A,k5_sheffer1(A,C,C),B) ) ) ) )).

fof(t120_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,C,B),k5_sheffer1(A,k5_sheffer1(A,C,C),B)) = k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,C,B)) ) ) ) )).

fof(t121_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => B = k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,C,B)) ) ) ) )).

fof(t122_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,C,B),B) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,C,C)),k5_sheffer1(A,B,k5_sheffer1(A,C,C))),k5_sheffer1(A,C,B)) ) ) ) )).

fof(t123_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,D),C)),k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,D),C))),k5_sheffer1(A,k5_sheffer1(A,D,B),k5_sheffer1(A,k5_sheffer1(A,C,C),B))) = k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,D,B)),B) ) ) ) ) )).

fof(t124_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,D,D)),k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C)),k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,D,D)),k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C))) = B ) ) ) ) )).

fof(t125_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,D),C)),C) = k5_sheffer1(A,C,k5_sheffer1(A,D,B)) ) ) ) ) )).

fof(t126_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,C,B),B)) = k5_sheffer1(A,C,B) ) ) ) )).

fof(t127_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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))
                 => C = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,D),D),C),k5_sheffer1(A,k5_sheffer1(A,B,B),C)) ) ) ) ) )).

fof(t128_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,C,C),B)),k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,C,C),B))) = C ) ) ) )).

fof(t129_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,D),C),k5_sheffer1(A,B,C)),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,D),C),k5_sheffer1(A,B,C))) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,k5_sheffer1(A,D,D),C)),C) ) ) ) ) )).

fof(t130_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,D),C),k5_sheffer1(A,B,C)),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,D),C),k5_sheffer1(A,B,C))) = k5_sheffer1(A,C,k5_sheffer1(A,D,k5_sheffer1(A,B,B))) ) ) ) ) )).

fof(t131_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,B),k5_sheffer1(A,C,B)),C) = k5_sheffer1(A,C,B) ) ) ) )).

fof(t132_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,C,B)) = C ) ) ) )).

fof(t133_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,C,B),k5_sheffer1(A,B,B)) = B ) ) ) )).

fof(t134_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,C,k5_sheffer1(A,C,C))),k5_sheffer1(A,D,B)) = D ) ) ) ) )).

fof(t135_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => k5_sheffer1(A,k5_sheffer1(A,C,B),k5_sheffer1(A,C,C)) = C ) ) ) )).

fof(t136_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,D,C),k5_sheffer1(A,D,k5_sheffer1(A,B,k5_sheffer1(A,B,B)))) = D ) ) ) ) )).

fof(t137_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(A))
                         => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,F,k5_sheffer1(A,E,k5_sheffer1(A,E,E))),D),k5_sheffer1(A,k5_sheffer1(A,C,C),D)),k5_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,F,C)),k5_sheffer1(A,D,k5_sheffer1(A,F,C)))) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,B,k5_sheffer1(A,B,B))),k5_sheffer1(A,D,k5_sheffer1(A,F,C))),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,F,C),k5_sheffer1(A,F,C)),k5_sheffer1(A,D,k5_sheffer1(A,F,C)))) ) ) ) ) ) ) )).

fof(t138_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C),k5_sheffer1(A,k5_sheffer1(A,B,B),C)),k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,E,B)),k5_sheffer1(A,C,k5_sheffer1(A,E,B)))) = k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,E,B),k5_sheffer1(A,E,B)),k5_sheffer1(A,C,k5_sheffer1(A,E,B)))) ) ) ) ) ) )).

fof(t139_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C),k5_sheffer1(A,k5_sheffer1(A,B,B),C)),k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,E,B)),k5_sheffer1(A,C,k5_sheffer1(A,E,B)))) = k5_sheffer1(A,C,k5_sheffer1(A,E,B)) ) ) ) ) ) )).

fof(t140_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(A))
                         => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,F,k5_sheffer1(A,E,k5_sheffer1(A,E,E))),D),k5_sheffer1(A,k5_sheffer1(A,B,B),D)),k5_sheffer1(A,k5_sheffer1(A,D,k5_sheffer1(A,F,B)),k5_sheffer1(A,D,k5_sheffer1(A,F,B)))) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,C,k5_sheffer1(A,C,C))),k5_sheffer1(A,k5_sheffer1(A,F,k5_sheffer1(A,E,k5_sheffer1(A,E,E))),D)),k5_sheffer1(A,k5_sheffer1(A,D,D),k5_sheffer1(A,k5_sheffer1(A,F,k5_sheffer1(A,E,k5_sheffer1(A,E,E))),D))) ) ) ) ) ) ) )).

fof(t141_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(A))
                         => k5_sheffer1(A,D,k5_sheffer1(A,F,B)) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),k5_sheffer1(A,C,k5_sheffer1(A,C,C))),k5_sheffer1(A,k5_sheffer1(A,F,k5_sheffer1(A,E,k5_sheffer1(A,E,E))),D)),k5_sheffer1(A,k5_sheffer1(A,D,D),k5_sheffer1(A,k5_sheffer1(A,F,k5_sheffer1(A,E,k5_sheffer1(A,E,E))),D))) ) ) ) ) ) ) )).

fof(t142_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => k5_sheffer1(A,C,k5_sheffer1(A,E,B)) = k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C)),k5_sheffer1(A,k5_sheffer1(A,C,C),k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C))) ) ) ) ) ) )).

fof(t143_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => k5_sheffer1(A,C,k5_sheffer1(A,E,B)) = k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C)),C) ) ) ) ) ) )).

fof(t144_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => ! [F] :
                          ( m1_subset_1(F,u1_struct_0(A))
                         => k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,D,k5_sheffer1(A,F,E))),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,F,k5_sheffer1(A,B,k5_sheffer1(A,B,B))),D),k5_sheffer1(A,k5_sheffer1(A,E,E),D))) = k5_sheffer1(A,D,k5_sheffer1(A,F,E)) ) ) ) ) ) ) )).

fof(t145_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,D),C)),k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,D),C))),k5_sheffer1(A,k5_sheffer1(A,D,B),k5_sheffer1(A,k5_sheffer1(A,C,C),B))) = k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,D),C)) ) ) ) ) )).

fof(t146_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,k5_sheffer1(A,D,C)),C) = k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,D,D),B)) ) ) ) ) )).

fof(t147_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),C),k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C)),C) = k5_sheffer1(A,C,k5_sheffer1(A,B,E)) ) ) ) ) ) )).

fof(t148_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,C,k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,D),C))) = k5_sheffer1(A,C,k5_sheffer1(A,D,B)) ) ) ) ) )).

fof(t149_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,E,B)),k5_sheffer1(A,C,k5_sheffer1(A,E,B))),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C),k5_sheffer1(A,k5_sheffer1(A,B,B),C))) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),C),k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C)),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),C),k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C))) ) ) ) ) ) )).

fof(t150_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => k5_sheffer1(A,C,k5_sheffer1(A,E,B)) = k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),C),k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C)),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,B,B),C),k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),C))) ) ) ) ) ) )).

fof(t151_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => k5_sheffer1(A,B,k5_sheffer1(A,E,C)) = k5_sheffer1(A,B,k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D)))))) ) ) ) ) ) )).

fof(t152_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,B,k5_sheffer1(A,D,C)) = k5_sheffer1(A,B,k5_sheffer1(A,C,D)) ) ) ) ) )).

fof(t153_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,D,C),B) = k5_sheffer1(A,B,k5_sheffer1(A,C,D)) ) ) ) ) )).

fof(t154_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,D,C),B),D) = k5_sheffer1(A,D,k5_sheffer1(A,k5_sheffer1(A,C,C),B)) ) ) ) ) )).

fof(t155_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => k5_sheffer1(A,C,E) = k5_sheffer1(A,C,k5_sheffer1(A,k5_sheffer1(A,E,B),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D)))),C))) ) ) ) ) ) )).

fof(t156_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,B,D) = k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,D,C),k5_sheffer1(A,D,B))) ) ) ) ) )).

fof(t157_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => k5_sheffer1(A,k5_sheffer1(A,C,E),k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,C,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D)))),B),C)) = k5_sheffer1(A,k5_sheffer1(A,C,E),k5_sheffer1(A,C,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))))) ) ) ) ) ) )).

fof(t158_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => k5_sheffer1(A,k5_sheffer1(A,B,E),k5_sheffer1(A,B,k5_sheffer1(A,k5_sheffer1(A,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))),k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D)))),C))) = k5_sheffer1(A,k5_sheffer1(A,B,E),k5_sheffer1(A,B,k5_sheffer1(A,E,k5_sheffer1(A,D,k5_sheffer1(A,D,D))))) ) ) ) ) ) )).

fof(t159_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(A))
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(A))
                     => k5_sheffer1(A,k5_sheffer1(A,C,E),k5_sheffer1(A,C,k5_sheffer1(A,E,D))) = k5_sheffer1(A,k5_sheffer1(A,C,E),k5_sheffer1(A,C,k5_sheffer1(A,E,k5_sheffer1(A,B,k5_sheffer1(A,B,B))))) ) ) ) ) ) )).

fof(t160_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(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_sheffer1(A,k5_sheffer1(A,B,D),k5_sheffer1(A,B,k5_sheffer1(A,D,C))) = B ) ) ) ) )).

fof(t161_sheffer2,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v10_sheffer1(A)
        & v11_sheffer1(A)
        & v12_sheffer1(A)
        & l1_sheffer1(A) )
     => v1_sheffer2(A) ) )).
%------------------------------------------------------------------------------