SET007 Axioms: SET007+687.ax
%------------------------------------------------------------------------------
% File : SET007+687 : TPTP v8.2.0. 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 unt; 0 def)
% Number of atoms : 441 ( 72 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 398 ( 48 ~; 0 |; 200 &)
% ( 0 <=>; 150 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 52 ( 51 usr; 0 prp; 1-3 aty)
% Number of functors : 62 ( 62 usr; 15 con; 0-6 aty)
% Number of variables : 158 ( 158 !; 0 ?)
% 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) ) ) ) ).
%------------------------------------------------------------------------------