SET007 Axioms: SET007+687.ax


%------------------------------------------------------------------------------
% File     : SET007+687 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : On the Instructions of SCM
% 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    : ami_6 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :   91 (   2 unit)
%            Number of atoms       :  441 (  72 equality)
%            Maximal formula depth :   18 (   6 average)
%            Number of connectives :  398 (  48 ~  ;   0  |; 200  &)
%                                         (   0 <=>; 150 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   52 (   0 propositional; 1-3 arity)
%            Number of functors    :   62 (  15 constant; 0-6 arity)
%            Number of variables   :  158 (   0 singleton; 158 !;   0 ?)
%            Maximal term depth    :    6 (   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(fc1_ami_6,axiom,(
    ! [A] :
      ( m1_subset_1(A,u3_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ( ~ v1_xboole_0(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,A))
        & v1_fraenkel(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,A)) ) ) )).

fof(fc2_ami_6,axiom,
    ( v1_relat_1(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
    & v1_funct_1(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
    & v2_funct_1(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
    & v1_xboole_0(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
    & v1_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
    & v2_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
    & v3_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
    & v4_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
    & v5_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k5_ami_1(k1_tarski(k4_numbers),k1_ami_3))) )).

fof(fc3_ami_6,axiom,(
    ! [A,B] :
      ( ( m1_ami_3(A)
        & m1_ami_3(B) )
     => ( v1_relat_1(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B)))
        & v1_funct_1(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B)))
        & v2_funct_1(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B)))
        & v1_xboole_0(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B)))
        & v1_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B)))
        & v2_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B)))
        & v3_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B)))
        & v4_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B)))
        & v5_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B))) ) ) )).

fof(fc4_ami_6,axiom,(
    ! [A,B] :
      ( ( m1_ami_3(A)
        & m1_ami_3(B) )
     => ( v1_relat_1(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B)))
        & v1_funct_1(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B)))
        & v2_funct_1(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B)))
        & v1_xboole_0(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B)))
        & v1_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B)))
        & v2_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B)))
        & v3_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B)))
        & v4_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B)))
        & v5_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B))) ) ) )).

fof(fc5_ami_6,axiom,(
    ! [A,B] :
      ( ( m1_ami_3(A)
        & m1_ami_3(B) )
     => ( v1_relat_1(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B)))
        & v1_funct_1(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B)))
        & v2_funct_1(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B)))
        & v1_xboole_0(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B)))
        & v1_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B)))
        & v2_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B)))
        & v3_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B)))
        & v4_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B)))
        & v5_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B))) ) ) )).

fof(fc6_ami_6,axiom,(
    ! [A,B] :
      ( ( m1_ami_3(A)
        & m1_ami_3(B) )
     => ( v1_relat_1(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B)))
        & v1_funct_1(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B)))
        & v2_funct_1(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B)))
        & v1_xboole_0(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B)))
        & v1_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B)))
        & v2_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B)))
        & v3_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B)))
        & v4_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B)))
        & v5_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B))) ) ) )).

fof(fc7_ami_6,axiom,(
    ! [A,B] :
      ( ( m1_ami_3(A)
        & m1_ami_3(B) )
     => ( v1_relat_1(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B)))
        & v1_funct_1(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B)))
        & v2_funct_1(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B)))
        & v1_xboole_0(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B)))
        & v1_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B)))
        & v2_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B)))
        & v3_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B)))
        & v4_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B)))
        & v5_membered(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B))) ) ) )).

fof(fc8_ami_6,axiom,(
    ! [A] :
      ( m1_subset_1(A,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ( ~ v1_xboole_0(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k8_ami_3(A)))
        & v1_realset1(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k8_ami_3(A))) ) ) )).

fof(fc9_ami_6,axiom,(
    ! [A,B] :
      ( ( m1_ami_3(A)
        & m1_subset_1(B,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) )
     => ( ~ v1_xboole_0(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k9_ami_3(B,A)))
        & v1_realset1(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k9_ami_3(B,A))) ) ) )).

fof(fc10_ami_6,axiom,(
    ! [A,B] :
      ( ( m1_ami_3(A)
        & m1_subset_1(B,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) )
     => ( ~ v1_xboole_0(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k10_ami_3(B,A)))
        & v1_realset1(k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k10_ami_3(B,A))) ) ) )).

fof(fc11_ami_6,axiom,
    ( ~ v3_struct_0(k1_ami_3)
    & v1_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & ~ v2_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v4_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v5_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v6_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v7_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v8_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v10_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v4_amistd_1(k1_ami_3,k1_tarski(k4_numbers))
    & v7_amistd_2(k1_ami_3,k1_tarski(k4_numbers)) )).

fof(fc12_ami_6,axiom,
    ( v4_ordinal2(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
    & v1_xreal_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
    & ~ v3_xreal_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
    & v1_int_1(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
    & v1_amistd_1(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k5_ami_1(k1_tarski(k4_numbers),k1_ami_3)),k1_tarski(k4_numbers),k1_ami_3)
    & v1_xcmplx_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k5_ami_1(k1_tarski(k4_numbers),k1_ami_3))) )).

fof(fc13_ami_6,axiom,
    ( ~ v1_xboole_0(k5_ami_1(k1_tarski(k4_numbers),k1_ami_3))
    & v3_ami_1(k5_ami_1(k1_tarski(k4_numbers),k1_ami_3),k1_tarski(k4_numbers),k1_ami_3)
    & v2_amistd_1(k5_ami_1(k1_tarski(k4_numbers),k1_ami_3),k1_tarski(k4_numbers),k1_ami_3)
    & v12_amistd_2(k5_ami_1(k1_tarski(k4_numbers),k1_ami_3),k1_tarski(k4_numbers),k1_ami_3) )).

fof(fc14_ami_6,axiom,(
    ! [A] :
      ( m1_subset_1(A,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ( v4_ordinal2(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k8_ami_3(A)))
        & v1_xreal_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k8_ami_3(A)))
        & ~ v3_xreal_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k8_ami_3(A)))
        & v1_int_1(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k8_ami_3(A)))
        & v1_amistd_1(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k8_ami_3(A)),k1_tarski(k4_numbers),k1_ami_3)
        & v1_xcmplx_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k8_ami_3(A))) ) ) )).

fof(fc15_ami_6,axiom,(
    ! [A] :
      ( m1_subset_1(A,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ( v2_amistd_1(k8_ami_3(A),k1_tarski(k4_numbers),k1_ami_3)
        & ~ v5_amistd_1(k8_ami_3(A),k1_tarski(k4_numbers),k1_ami_3)
        & ~ v9_amistd_2(k8_ami_3(A),k1_tarski(k4_numbers),k1_ami_3) ) ) )).

fof(fc16_ami_6,axiom,(
    ! [A,B] :
      ( ( m1_ami_3(A)
        & m1_subset_1(B,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) )
     => ( v4_ordinal2(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k9_ami_3(B,A)))
        & v1_xreal_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k9_ami_3(B,A)))
        & ~ v3_xreal_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k9_ami_3(B,A)))
        & v1_int_1(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k9_ami_3(B,A)))
        & v1_amistd_1(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k9_ami_3(B,A)),k1_tarski(k4_numbers),k1_ami_3)
        & v1_xcmplx_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k9_ami_3(B,A))) ) ) )).

fof(fc17_ami_6,axiom,(
    ! [A,B] :
      ( ( m1_ami_3(A)
        & m1_subset_1(B,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) )
     => ( v4_ordinal2(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k10_ami_3(B,A)))
        & v1_xreal_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k10_ami_3(B,A)))
        & ~ v3_xreal_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k10_ami_3(B,A)))
        & v1_int_1(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k10_ami_3(B,A)))
        & v1_amistd_1(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k10_ami_3(B,A)),k1_tarski(k4_numbers),k1_ami_3)
        & v1_xcmplx_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k10_ami_3(B,A))) ) ) )).

fof(fc18_ami_6,axiom,(
    ! [A,B] :
      ( ( m1_ami_3(A)
        & m1_subset_1(B,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) )
     => ( v2_amistd_1(k9_ami_3(B,A),k1_tarski(k4_numbers),k1_ami_3)
        & ~ v5_amistd_1(k9_ami_3(B,A),k1_tarski(k4_numbers),k1_ami_3)
        & ~ v9_amistd_2(k9_ami_3(B,A),k1_tarski(k4_numbers),k1_ami_3) ) ) )).

fof(fc19_ami_6,axiom,(
    ! [A,B] :
      ( ( m1_ami_3(A)
        & m1_subset_1(B,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) )
     => ( v2_amistd_1(k10_ami_3(B,A),k1_tarski(k4_numbers),k1_ami_3)
        & ~ v5_amistd_1(k10_ami_3(B,A),k1_tarski(k4_numbers),k1_ami_3)
        & ~ v9_amistd_2(k10_ami_3(B,A),k1_tarski(k4_numbers),k1_ami_3) ) ) )).

fof(fc20_ami_6,axiom,(
    ! [A,B] :
      ( ( m1_ami_3(A)
        & m1_ami_3(B) )
     => ( v4_ordinal2(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B)))
        & v1_xreal_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B)))
        & ~ v3_xreal_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B)))
        & v1_int_1(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B)))
        & ~ v1_amistd_1(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B)),k1_tarski(k4_numbers),k1_ami_3)
        & v1_xcmplx_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B))) ) ) )).

fof(fc21_ami_6,axiom,(
    ! [A,B] :
      ( ( m1_ami_3(A)
        & m1_ami_3(B) )
     => ( v4_ordinal2(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B)))
        & v1_xreal_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B)))
        & ~ v3_xreal_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B)))
        & v1_int_1(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B)))
        & ~ v1_amistd_1(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B)),k1_tarski(k4_numbers),k1_ami_3)
        & v1_xcmplx_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B))) ) ) )).

fof(fc22_ami_6,axiom,(
    ! [A,B] :
      ( ( m1_ami_3(A)
        & m1_ami_3(B) )
     => ( v4_ordinal2(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B)))
        & v1_xreal_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B)))
        & ~ v3_xreal_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B)))
        & v1_int_1(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B)))
        & ~ v1_amistd_1(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B)),k1_tarski(k4_numbers),k1_ami_3)
        & v1_xcmplx_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B))) ) ) )).

fof(fc23_ami_6,axiom,(
    ! [A,B] :
      ( ( m1_ami_3(A)
        & m1_ami_3(B) )
     => ( v4_ordinal2(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B)))
        & v1_xreal_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B)))
        & ~ v3_xreal_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B)))
        & v1_int_1(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B)))
        & ~ v1_amistd_1(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B)),k1_tarski(k4_numbers),k1_ami_3)
        & v1_xcmplx_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B))) ) ) )).

fof(fc24_ami_6,axiom,(
    ! [A,B] :
      ( ( m1_ami_3(A)
        & m1_ami_3(B) )
     => ( v4_ordinal2(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B)))
        & v1_xreal_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B)))
        & ~ v3_xreal_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B)))
        & v1_int_1(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B)))
        & ~ v1_amistd_1(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B)),k1_tarski(k4_numbers),k1_ami_3)
        & v1_xcmplx_0(k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B))) ) ) )).

fof(fc25_ami_6,axiom,(
    ! [A,B] :
      ( ( m1_ami_3(A)
        & m1_ami_3(B) )
     => ( ~ v2_amistd_1(k3_ami_3(A,B),k1_tarski(k4_numbers),k1_ami_3)
        & v5_amistd_1(k3_ami_3(A,B),k1_tarski(k4_numbers),k1_ami_3) ) ) )).

fof(fc26_ami_6,axiom,(
    ! [A,B] :
      ( ( m1_ami_3(A)
        & m1_ami_3(B) )
     => ( ~ v2_amistd_1(k4_ami_3(A,B),k1_tarski(k4_numbers),k1_ami_3)
        & v5_amistd_1(k4_ami_3(A,B),k1_tarski(k4_numbers),k1_ami_3) ) ) )).

fof(fc27_ami_6,axiom,(
    ! [A,B] :
      ( ( m1_ami_3(A)
        & m1_ami_3(B) )
     => ( ~ v2_amistd_1(k5_ami_3(A,B),k1_tarski(k4_numbers),k1_ami_3)
        & v5_amistd_1(k5_ami_3(A,B),k1_tarski(k4_numbers),k1_ami_3) ) ) )).

fof(fc28_ami_6,axiom,(
    ! [A,B] :
      ( ( m1_ami_3(A)
        & m1_ami_3(B) )
     => ( ~ v2_amistd_1(k6_ami_3(A,B),k1_tarski(k4_numbers),k1_ami_3)
        & v5_amistd_1(k6_ami_3(A,B),k1_tarski(k4_numbers),k1_ami_3) ) ) )).

fof(fc29_ami_6,axiom,(
    ! [A,B] :
      ( ( m1_ami_3(A)
        & m1_ami_3(B) )
     => ( ~ v2_amistd_1(k7_ami_3(A,B),k1_tarski(k4_numbers),k1_ami_3)
        & v5_amistd_1(k7_ami_3(A,B),k1_tarski(k4_numbers),k1_ami_3) ) ) )).

fof(fc30_ami_6,axiom,
    ( ~ v3_struct_0(k1_ami_3)
    & v1_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & ~ v2_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v4_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v5_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v6_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v7_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v8_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v10_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v4_amistd_1(k1_ami_3,k1_tarski(k4_numbers))
    & v2_amistd_2(k1_ami_3,k1_tarski(k4_numbers))
    & v5_amistd_2(k1_ami_3,k1_tarski(k4_numbers))
    & v6_amistd_2(k1_ami_3,k1_tarski(k4_numbers))
    & v7_amistd_2(k1_ami_3,k1_tarski(k4_numbers)) )).

fof(fc31_ami_6,axiom,
    ( ~ v3_struct_0(k1_ami_3)
    & v1_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & ~ v2_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v4_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v5_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v6_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v7_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v8_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v10_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v4_amistd_1(k1_ami_3,k1_tarski(k4_numbers))
    & v2_amistd_2(k1_ami_3,k1_tarski(k4_numbers))
    & v5_amistd_2(k1_ami_3,k1_tarski(k4_numbers))
    & v6_amistd_2(k1_ami_3,k1_tarski(k4_numbers))
    & v7_amistd_2(k1_ami_3,k1_tarski(k4_numbers))
    & v8_amistd_2(k1_ami_3,k1_tarski(k4_numbers)) )).

fof(fc32_ami_6,axiom,
    ( ~ v3_struct_0(k1_ami_3)
    & v1_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & ~ v2_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v4_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v5_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v6_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v7_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v8_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v10_ami_1(k1_ami_3,k1_tarski(k4_numbers))
    & v4_amistd_1(k1_ami_3,k1_tarski(k4_numbers))
    & v2_amistd_2(k1_ami_3,k1_tarski(k4_numbers))
    & v5_amistd_2(k1_ami_3,k1_tarski(k4_numbers))
    & v6_amistd_2(k1_ami_3,k1_tarski(k4_numbers))
    & v7_amistd_2(k1_ami_3,k1_tarski(k4_numbers))
    & v8_amistd_2(k1_ami_3,k1_tarski(k4_numbers))
    & v11_amistd_2(k1_ami_3,k1_tarski(k4_numbers))
    & v13_amistd_2(k1_ami_3,k1_tarski(k4_numbers)) )).

fof(t1_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ~ r2_hidden(A,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) )).

fof(t2_ami_6,axiom,(
    k2_ami_2 != u2_ami_1(k1_tarski(k4_numbers),k1_ami_3) )).

fof(t3_ami_6,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k1_ami_3))
     => ~ ( A != k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)
          & ~ r2_hidden(A,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
          & ~ m1_ami_3(A) ) ) )).

fof(t4_ami_6,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ! [B] :
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => ~ ( A != B
              & k11_ami_3(A) = k11_ami_3(B) ) ) ) )).

fof(t5_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_subset_1(B,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
             => ( r1_funct_7(B,C,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
               => k2_ami_3(B,A) = k2_ami_3(C,A) ) ) ) ) )).

fof(t6_ami_6,axiom,(
    ! [A] :
      ( v1_setfam_1(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & v8_ami_1(B,A)
            & v10_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u5_ami_1(A,B)))
             => ! [D] :
                  ( m1_subset_1(D,k4_card_3(u5_ami_1(A,B)))
                 => ! [E] :
                      ( m1_struct_0(E,B,u2_ami_1(A,B))
                     => ! [F] :
                          ( m1_subset_1(F,k3_ami_1(A,B,k2_ami_1(A,B)))
                         => ! [G] :
                              ( m1_subset_1(G,k3_ami_1(A,B,E))
                             => ( ( F = E
                                  & D = k8_ami_5(A,B,C,k16_ami_1(A,B,k2_ami_1(A,B),E,F,G)) )
                               => ( k13_ami_1(A,B,D,E) = G
                                  & k6_ami_1(A,B,D) = E
                                  & k6_ami_1(A,B,k9_ami_1(A,B,D)) = k1_funct_1(k4_ami_1(A,B,k13_ami_1(A,B,D,k6_ami_1(A,B,D)),D),k2_ami_1(A,B)) ) ) ) ) ) ) ) ) ) )).

fof(t7_ami_6,axiom,(
    k4_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k5_ami_1(k1_tarski(k4_numbers),k1_ami_3)) = k1_xboole_0 )).

fof(t8_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_ami_3(B)
         => k4_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B)) = k10_finseq_1(A,B) ) ) )).

fof(t9_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_ami_3(B)
         => k4_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B)) = k10_finseq_1(A,B) ) ) )).

fof(t10_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_ami_3(B)
         => k4_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B)) = k10_finseq_1(A,B) ) ) )).

fof(t11_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_ami_3(B)
         => k4_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B)) = k10_finseq_1(A,B) ) ) )).

fof(t12_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_ami_3(B)
         => k4_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B)) = k10_finseq_1(A,B) ) ) )).

fof(t13_ami_6,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => k4_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k8_ami_3(A)) = k12_finseq_1(u2_ami_1(k1_tarski(k4_numbers),k1_ami_3),A) ) )).

fof(t14_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => k4_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k9_ami_3(B,A)) = k10_finseq_1(B,A) ) ) )).

fof(t15_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => k4_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k10_ami_3(B,A)) = k10_finseq_1(B,A) ) ) )).

fof(t16_ami_6,axiom,(
    ! [A] :
      ( m1_subset_1(A,u3_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ( A = np__0
       => k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,A) = k1_tarski(np__0) ) ) )).

fof(t17_ami_6,axiom,(
    ! [A] :
      ( m1_subset_1(A,u3_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ( A = np__1
       => k1_relat_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,A))) = k2_tarski(np__1,np__2) ) ) )).

fof(t18_ami_6,axiom,(
    ! [A] :
      ( m1_subset_1(A,u3_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ( A = np__2
       => k1_relat_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,A))) = k2_tarski(np__1,np__2) ) ) )).

fof(t19_ami_6,axiom,(
    ! [A] :
      ( m1_subset_1(A,u3_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ( A = np__3
       => k1_relat_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,A))) = k2_tarski(np__1,np__2) ) ) )).

fof(t20_ami_6,axiom,(
    ! [A] :
      ( m1_subset_1(A,u3_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ( A = np__4
       => k1_relat_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,A))) = k2_tarski(np__1,np__2) ) ) )).

fof(t21_ami_6,axiom,(
    ! [A] :
      ( m1_subset_1(A,u3_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ( A = np__5
       => k1_relat_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,A))) = k2_tarski(np__1,np__2) ) ) )).

fof(t22_ami_6,axiom,(
    ! [A] :
      ( m1_subset_1(A,u3_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ( A = np__6
       => k1_relat_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,A))) = k1_tarski(np__1) ) ) )).

fof(t23_ami_6,axiom,(
    ! [A] :
      ( m1_subset_1(A,u3_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ( A = np__7
       => k1_relat_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,A))) = k2_tarski(np__1,np__2) ) ) )).

fof(t24_ami_6,axiom,(
    ! [A] :
      ( m1_subset_1(A,u3_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ( A = np__8
       => k1_relat_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,A))) = k2_tarski(np__1,np__2) ) ) )).

fof(t25_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_ami_3(B)
         => k1_funct_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B)))),np__1) = k2_ami_2 ) ) )).

fof(t26_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_ami_3(B)
         => k1_funct_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k3_ami_3(A,B)))),np__2) = k2_ami_2 ) ) )).

fof(t27_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_ami_3(B)
         => k1_funct_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B)))),np__1) = k2_ami_2 ) ) )).

fof(t28_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_ami_3(B)
         => k1_funct_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k4_ami_3(A,B)))),np__2) = k2_ami_2 ) ) )).

fof(t29_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_ami_3(B)
         => k1_funct_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B)))),np__1) = k2_ami_2 ) ) )).

fof(t30_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_ami_3(B)
         => k1_funct_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k5_ami_3(A,B)))),np__2) = k2_ami_2 ) ) )).

fof(t31_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_ami_3(B)
         => k1_funct_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B)))),np__1) = k2_ami_2 ) ) )).

fof(t32_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_ami_3(B)
         => k1_funct_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k6_ami_3(A,B)))),np__2) = k2_ami_2 ) ) )).

fof(t33_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_ami_3(B)
         => k1_funct_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B)))),np__1) = k2_ami_2 ) ) )).

fof(t34_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_ami_3(B)
         => k1_funct_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k7_ami_3(A,B)))),np__2) = k2_ami_2 ) ) )).

fof(t35_ami_6,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => k1_funct_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k8_ami_3(A)))),np__1) = u2_ami_1(k1_tarski(k4_numbers),k1_ami_3) ) )).

fof(t36_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => k1_funct_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k9_ami_3(B,A)))),np__1) = u2_ami_1(k1_tarski(k4_numbers),k1_ami_3) ) ) )).

fof(t37_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => k1_funct_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k9_ami_3(B,A)))),np__2) = k2_ami_2 ) ) )).

fof(t38_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => k1_funct_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k10_ami_3(B,A)))),np__1) = u2_ami_1(k1_tarski(k4_numbers),k1_ami_3) ) ) )).

fof(t39_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => k1_funct_1(k1_amistd_2(k5_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,k10_ami_3(B,A)))),np__2) = k2_ami_2 ) ) )).

fof(t40_ami_6,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => k1_amistd_1(k1_tarski(k4_numbers),k1_ami_3,A,k5_ami_1(k1_tarski(k4_numbers),k1_ami_3)) = k1_struct_0(k1_ami_3,A) ) )).

fof(t41_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_ami_3(B)
         => ! [C] :
              ( m1_struct_0(C,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
             => k1_amistd_1(k1_tarski(k4_numbers),k1_ami_3,C,k3_ami_3(A,B)) = k1_struct_0(k1_ami_3,k11_ami_3(C)) ) ) ) )).

fof(t42_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_ami_3(B)
         => ! [C] :
              ( m1_struct_0(C,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
             => k1_amistd_1(k1_tarski(k4_numbers),k1_ami_3,C,k4_ami_3(A,B)) = k1_struct_0(k1_ami_3,k11_ami_3(C)) ) ) ) )).

fof(t43_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_ami_3(B)
         => ! [C] :
              ( m1_struct_0(C,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
             => k1_amistd_1(k1_tarski(k4_numbers),k1_ami_3,C,k5_ami_3(A,B)) = k1_struct_0(k1_ami_3,k11_ami_3(C)) ) ) ) )).

fof(t44_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_ami_3(B)
         => ! [C] :
              ( m1_struct_0(C,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
             => k1_amistd_1(k1_tarski(k4_numbers),k1_ami_3,C,k6_ami_3(A,B)) = k1_struct_0(k1_ami_3,k11_ami_3(C)) ) ) ) )).

fof(t45_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_ami_3(B)
         => ! [C] :
              ( m1_struct_0(C,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
             => k1_amistd_1(k1_tarski(k4_numbers),k1_ami_3,C,k7_ami_3(A,B)) = k1_struct_0(k1_ami_3,k11_ami_3(C)) ) ) ) )).

fof(t46_ami_6,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ! [B] :
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => k1_amistd_1(k1_tarski(k4_numbers),k1_ami_3,B,k8_ami_3(A)) = k1_struct_0(k1_ami_3,A) ) ) )).

fof(t47_ami_6,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k8_ami_3(A)) = k1_struct_0(k1_ami_3,A) ) )).

fof(t48_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => ! [C] :
              ( m1_struct_0(C,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
             => k1_amistd_1(k1_tarski(k4_numbers),k1_ami_3,C,k9_ami_3(B,A)) = k2_struct_0(k1_ami_3,B,k11_ami_3(C)) ) ) ) )).

fof(t49_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k9_ami_3(B,A)) = k1_struct_0(k1_ami_3,B) ) ) )).

fof(t50_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => ! [C] :
              ( m1_struct_0(C,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
             => k1_amistd_1(k1_tarski(k4_numbers),k1_ami_3,C,k10_ami_3(B,A)) = k2_struct_0(k1_ami_3,B,k11_ami_3(C)) ) ) ) )).

fof(t51_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => k2_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k10_ami_3(B,A)) = k1_struct_0(k1_ami_3,B) ) ) )).

fof(t52_ami_6,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => k3_amistd_1(k1_tarski(k4_numbers),k1_ami_3,A) = k2_struct_0(k1_ami_3,A,k11_ami_3(A)) ) )).

fof(t53_ami_6,axiom,(
    ! [A] :
      ( ( v1_funct_1(A)
        & v1_funct_2(A,k5_numbers,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
        & m2_relset_1(A,k5_numbers,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) )
     => ( ! [B] :
            ( m2_subset_1(B,k1_numbers,k5_numbers)
           => k8_funct_2(k5_numbers,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3),A,B) = k16_ami_3(B) )
       => ( v3_funct_2(A,k5_numbers,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
          & ! [B] :
              ( m2_subset_1(B,k1_numbers,k5_numbers)
             => ( r2_hidden(k8_funct_2(k5_numbers,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3),A,k1_nat_1(B,np__1)),k3_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k8_funct_2(k5_numbers,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3),A,B)))
                & ! [C] :
                    ( m2_subset_1(C,k1_numbers,k5_numbers)
                   => ( r2_hidden(k8_funct_2(k5_numbers,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3),A,C),k3_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k8_funct_2(k5_numbers,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3),A,B)))
                     => r1_xreal_0(B,C) ) ) ) ) ) ) ) )).

fof(t54_ami_6,axiom,(
    ! [A] :
      ( v4_ordinal2(A)
     => k5_amistd_1(k1_tarski(k4_numbers),k1_ami_3,A) = k16_ami_3(A) ) )).

fof(t55_ami_6,axiom,(
    ! [A] :
      ( v4_ordinal2(A)
     => k11_ami_3(k5_amistd_1(k1_tarski(k4_numbers),k1_ami_3,A)) = k5_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k2_xcmplx_0(A,np__1)) ) )).

fof(t56_ami_6,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => k11_ami_3(A) = k9_amistd_1(k1_tarski(k4_numbers),k1_ami_3,A) ) )).

fof(t57_ami_6,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ! [B] :
          ( v4_ordinal2(B)
         => k8_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k8_ami_3(A),B) = k8_ami_3(k5_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k2_xcmplx_0(k7_amistd_1(k1_tarski(k4_numbers),k1_ami_3,A),B))) ) ) )).

fof(t58_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => ! [C] :
              ( v4_ordinal2(C)
             => k8_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k9_ami_3(B,A),C) = k9_ami_3(k5_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k2_xcmplx_0(k7_amistd_1(k1_tarski(k4_numbers),k1_ami_3,B),C)),A) ) ) ) )).

fof(t59_ami_6,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => ! [C] :
              ( v4_ordinal2(C)
             => k8_amistd_2(k1_tarski(k4_numbers),k1_ami_3,k10_ami_3(B,A),C) = k10_ami_3(k5_amistd_1(k1_tarski(k4_numbers),k1_ami_3,k2_xcmplx_0(k7_amistd_1(k1_tarski(k4_numbers),k1_ami_3,B),C)),A) ) ) ) )).
%------------------------------------------------------------------------------