SET007 Axioms: SET007+699.ax
%------------------------------------------------------------------------------
% File : SET007+699 : TPTP v9.0.0. Released v3.4.0.
% Domain : Set Theory
% Axioms : Duality Based on Galois Connection. Part I
% 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 : waybel34 [Urb08]
% Status : Satisfiable
% Syntax : Number of formulae : 129 ( 2 unt; 0 def)
% Number of atoms : 1845 ( 69 equ)
% Maximal formula atoms : 34 ( 14 avg)
% Number of connectives : 1858 ( 142 ~; 2 |;1260 &)
% ( 49 <=>; 405 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 11 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 96 ( 94 usr; 1 prp; 0-5 aty)
% Number of functors : 59 ( 59 usr; 1 con; 0-6 aty)
% Number of variables : 400 ( 392 !; 8 ?)
% SPC :
% Comments : The individual reference can be found in [Mat90] by looking for
% the name provided by [Urb08].
% : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
% : These set theory axioms are used in encodings of problems in
% various domains, including ALG, CAT, GRP, LAT, SET, and TOP.
%------------------------------------------------------------------------------
fof(rc1_waybel34,axiom,
! [A,B] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A)
& v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ? [C] :
( m1_waybel_1(C,A,B)
& v3_waybel_1(C,A,B) ) ) ).
fof(fc1_waybel34,axiom,
! [A,B,C] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A)
& v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B)
& v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v1_relat_1(k1_waybel34(A,B,C))
& v1_funct_1(k1_waybel34(A,B,C))
& ~ v1_xboole_0(k1_waybel34(A,B,C))
& v1_funct_2(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A))
& v1_partfun1(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A))
& v18_waybel_0(k1_waybel34(A,B,C),B,A)
& v20_waybel_0(k1_waybel34(A,B,C),B,A)
& v22_waybel_0(k1_waybel34(A,B,C),B,A)
& v5_waybel_1(k1_waybel34(A,B,C),A,B)
& v5_orders_3(k1_waybel34(A,B,C),B,A) ) ) ).
fof(fc2_waybel34,axiom,
! [A,B,C] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A)
& v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B)
& v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
& v18_waybel_0(C,B,A)
& m1_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ( v1_relat_1(k2_waybel34(A,B,C))
& v1_funct_1(k2_waybel34(A,B,C))
& ~ v1_xboole_0(k2_waybel34(A,B,C))
& v1_funct_2(k2_waybel34(A,B,C),u1_struct_0(A),u1_struct_0(B))
& v1_partfun1(k2_waybel34(A,B,C),u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(k2_waybel34(A,B,C),A,B)
& v19_waybel_0(k2_waybel34(A,B,C),A,B)
& v21_waybel_0(k2_waybel34(A,B,C),A,B)
& v4_waybel_1(k2_waybel34(A,B,C),A,B)
& v5_orders_3(k2_waybel34(A,B,C),A,B) ) ) ).
fof(fc3_waybel34,axiom,
! [A,B,C] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A)
& v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B)
& v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v1_relat_1(k3_waybel34(A,B,C))
& v1_funct_1(k3_waybel34(A,B,C))
& ~ v1_xboole_0(k3_waybel34(A,B,C))
& v1_funct_2(k3_waybel34(A,B,C),u1_struct_0(k7_lattice3(A)),u1_struct_0(k7_lattice3(B)))
& v1_partfun1(k3_waybel34(A,B,C),u1_struct_0(k7_lattice3(A)),u1_struct_0(k7_lattice3(B)))
& v18_waybel_0(k3_waybel34(A,B,C),k7_lattice3(A),k7_lattice3(B))
& v20_waybel_0(k3_waybel34(A,B,C),k7_lattice3(A),k7_lattice3(B))
& v22_waybel_0(k3_waybel34(A,B,C),k7_lattice3(A),k7_lattice3(B))
& v5_waybel_1(k3_waybel34(A,B,C),k7_lattice3(B),k7_lattice3(A))
& v5_orders_3(k3_waybel34(A,B,C),k7_lattice3(A),k7_lattice3(B)) ) ) ).
fof(fc4_waybel34,axiom,
! [A,B,C] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A)
& v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B)
& v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v18_waybel_0(C,A,B)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v1_relat_1(k3_waybel34(A,B,C))
& v1_funct_1(k3_waybel34(A,B,C))
& ~ v1_xboole_0(k3_waybel34(A,B,C))
& v1_funct_2(k3_waybel34(A,B,C),u1_struct_0(k7_lattice3(A)),u1_struct_0(k7_lattice3(B)))
& v1_partfun1(k3_waybel34(A,B,C),u1_struct_0(k7_lattice3(A)),u1_struct_0(k7_lattice3(B)))
& v17_waybel_0(k3_waybel34(A,B,C),k7_lattice3(A),k7_lattice3(B))
& v19_waybel_0(k3_waybel34(A,B,C),k7_lattice3(A),k7_lattice3(B))
& v21_waybel_0(k3_waybel34(A,B,C),k7_lattice3(A),k7_lattice3(B))
& v4_waybel_1(k3_waybel34(A,B,C),k7_lattice3(A),k7_lattice3(B))
& v5_orders_3(k3_waybel34(A,B,C),k7_lattice3(A),k7_lattice3(B)) ) ) ).
fof(fc5_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( ~ v3_struct_0(k4_waybel34(A))
& v2_altcat_1(k4_waybel34(A))
& v6_altcat_1(k4_waybel34(A))
& v9_altcat_1(k4_waybel34(A))
& v11_altcat_1(k4_waybel34(A))
& v12_altcat_1(k4_waybel34(A))
& v1_altcat_2(k4_waybel34(A))
& v2_yellow18(k4_waybel34(A))
& v3_yellow18(k4_waybel34(A))
& v4_yellow18(k4_waybel34(A))
& v1_yellow21(k4_waybel34(A))
& v2_yellow21(k4_waybel34(A))
& v3_yellow21(k4_waybel34(A)) ) ) ).
fof(fc6_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( ~ v3_struct_0(k5_waybel34(A))
& v2_altcat_1(k5_waybel34(A))
& v6_altcat_1(k5_waybel34(A))
& v9_altcat_1(k5_waybel34(A))
& v11_altcat_1(k5_waybel34(A))
& v12_altcat_1(k5_waybel34(A))
& v1_altcat_2(k5_waybel34(A))
& v2_yellow18(k5_waybel34(A))
& v3_yellow18(k5_waybel34(A))
& v4_yellow18(k5_waybel34(A))
& v1_yellow21(k5_waybel34(A))
& v2_yellow21(k5_waybel34(A))
& v3_yellow21(k5_waybel34(A)) ) ) ).
fof(fc7_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( v6_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v8_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v9_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v11_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v12_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v14_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v16_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v21_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) ) ) ).
fof(fc8_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( v6_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v8_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v9_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v11_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v12_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v14_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v16_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v21_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A)) ) ) ).
fof(fc9_waybel34,axiom,
! [A,B,C] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A)
& v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B)
& v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v18_waybel_0(C,A,B)
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( ~ v3_struct_0(k2_yellow_2(A,B,C))
& v1_orders_2(k2_yellow_2(A,B,C))
& v2_orders_2(k2_yellow_2(A,B,C))
& v3_orders_2(k2_yellow_2(A,B,C))
& v4_orders_2(k2_yellow_2(A,B,C))
& v1_yellow_0(k2_yellow_2(A,B,C))
& v2_yellow_0(k2_yellow_2(A,B,C))
& v3_yellow_0(k2_yellow_2(A,B,C))
& v4_yellow_0(k2_yellow_2(A,B,C),B)
& v24_waybel_0(k2_yellow_2(A,B,C))
& v25_waybel_0(k2_yellow_2(A,B,C))
& v1_lattice3(k2_yellow_2(A,B,C))
& v2_lattice3(k2_yellow_2(A,B,C))
& v3_lattice3(k2_yellow_2(A,B,C)) ) ) ).
fof(fc10_waybel34,axiom,
! [A,B] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A)
& v1_funct_1(B)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v6_waybel_1(B,A)
& m1_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
=> ( ~ v3_struct_0(k2_yellow_2(A,A,B))
& v1_orders_2(k2_yellow_2(A,A,B))
& v2_orders_2(k2_yellow_2(A,A,B))
& v3_orders_2(k2_yellow_2(A,A,B))
& v4_orders_2(k2_yellow_2(A,A,B))
& v1_yellow_0(k2_yellow_2(A,A,B))
& v2_yellow_0(k2_yellow_2(A,A,B))
& v3_yellow_0(k2_yellow_2(A,A,B))
& v4_yellow_0(k2_yellow_2(A,A,B),A)
& v24_waybel_0(k2_yellow_2(A,A,B))
& v25_waybel_0(k2_yellow_2(A,A,B))
& v1_lattice3(k2_yellow_2(A,A,B))
& v2_lattice3(k2_yellow_2(A,A,B))
& v3_lattice3(k2_yellow_2(A,A,B)) ) ) ).
fof(fc11_waybel34,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A)
& ~ v3_struct_0(B)
& v2_orders_2(B)
& v4_orders_2(B)
& v2_yellow_0(B)
& l1_orders_2(B) )
=> ( v1_relat_1(k3_borsuk_1(A,B,k4_yellow_0(B)))
& v1_funct_1(k3_borsuk_1(A,B,k4_yellow_0(B)))
& v1_funct_2(k3_borsuk_1(A,B,k4_yellow_0(B)),u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(k3_borsuk_1(A,B,k4_yellow_0(B)),A,B)
& v19_waybel_0(k3_borsuk_1(A,B,k4_yellow_0(B)),A,B)
& v21_waybel_0(k3_borsuk_1(A,B,k4_yellow_0(B)),A,B)
& v22_waybel_0(k3_borsuk_1(A,B,k4_yellow_0(B)),A,B) ) ) ).
fof(fc12_waybel34,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A)
& ~ v3_struct_0(B)
& v2_orders_2(B)
& v4_orders_2(B)
& v1_yellow_0(B)
& l1_orders_2(B) )
=> ( v1_relat_1(k3_borsuk_1(A,B,k3_yellow_0(B)))
& v1_funct_1(k3_borsuk_1(A,B,k3_yellow_0(B)))
& v1_funct_2(k3_borsuk_1(A,B,k3_yellow_0(B)),u1_struct_0(A),u1_struct_0(B))
& v18_waybel_0(k3_borsuk_1(A,B,k3_yellow_0(B)),A,B)
& v20_waybel_0(k3_borsuk_1(A,B,k3_yellow_0(B)),A,B)
& v21_waybel_0(k3_borsuk_1(A,B,k3_yellow_0(B)),A,B)
& v22_waybel_0(k3_borsuk_1(A,B,k3_yellow_0(B)),A,B) ) ) ).
fof(rc2_waybel34,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A)
& ~ v3_struct_0(B)
& v2_orders_2(B)
& v4_orders_2(B)
& v2_yellow_0(B)
& l1_orders_2(B) )
=> ? [C] :
( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v1_relat_1(C)
& v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& v19_waybel_0(C,A,B)
& v21_waybel_0(C,A,B)
& v22_waybel_0(C,A,B) ) ) ).
fof(rc3_waybel34,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A)
& ~ v3_struct_0(B)
& v2_orders_2(B)
& v4_orders_2(B)
& v1_yellow_0(B)
& l1_orders_2(B) )
=> ? [C] :
( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v1_relat_1(C)
& v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v18_waybel_0(C,A,B)
& v20_waybel_0(C,A,B)
& v21_waybel_0(C,A,B)
& v22_waybel_0(C,A,B) ) ) ).
fof(fc13_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( ~ v3_struct_0(k10_waybel34(A))
& v2_altcat_1(k10_waybel34(A))
& v6_altcat_1(k10_waybel34(A))
& v9_altcat_1(k10_waybel34(A))
& v11_altcat_1(k10_waybel34(A))
& v12_altcat_1(k10_waybel34(A))
& v1_altcat_2(k10_waybel34(A))
& v2_altcat_2(k10_waybel34(A),k8_waybel34(A))
& v3_altcat_2(k10_waybel34(A),k8_waybel34(A))
& v2_yellow18(k10_waybel34(A))
& v3_yellow18(k10_waybel34(A))
& v4_yellow18(k10_waybel34(A))
& v1_yellow21(k10_waybel34(A))
& v2_yellow21(k10_waybel34(A))
& v3_yellow21(k10_waybel34(A)) ) ) ).
fof(cc1_waybel34,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A)
& ~ v3_struct_0(B)
& l1_orders_2(B) )
=> ! [C] :
( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
=> ( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v18_waybel_0(C,A,B) )
=> ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v5_waybel34(C,A,B) ) ) ) ) ).
fof(cc2_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v4_orders_2(A)
& v1_yellow_0(A)
& l1_orders_2(A) )
=> ! [B] :
( m1_yellow_0(B,A)
=> ( v6_waybel34(B,A)
=> ( v6_yellow_0(B,A)
& v7_waybel34(B,A) ) ) ) ) ).
fof(cc3_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A) )
=> ! [B] :
( m1_yellow_0(B,A)
=> ( v8_yellow_0(B,A)
=> v6_waybel34(B,A) ) ) ) ).
fof(rc4_waybel34,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_yellow_0(A)
& l1_orders_2(A)
& ~ v3_struct_0(B)
& v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_yellow_0(B)
& l1_orders_2(B) )
=> ? [C] :
( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v1_relat_1(C)
& v1_funct_1(C)
& ~ v1_xboole_0(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v1_partfun1(C,u1_struct_0(A),u1_struct_0(B))
& v18_waybel_0(C,A,B)
& v20_waybel_0(C,A,B)
& v22_waybel_0(C,A,B)
& v5_orders_3(C,A,B)
& v5_waybel34(C,A,B) ) ) ).
fof(cc4_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v4_orders_2(A)
& v1_yellow_0(A)
& l1_orders_2(A) )
=> ! [B] :
( m1_yellow_0(B,A)
=> ( ( v4_yellow_0(B,A)
& v7_waybel34(B,A) )
=> ( ~ v3_struct_0(B)
& v4_orders_2(B)
& v1_yellow_0(B)
& v4_yellow_0(B,A) ) ) ) ) ).
fof(rc5_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v4_orders_2(A)
& v1_yellow_0(A)
& l1_orders_2(A) )
=> ? [B] :
( m1_yellow_0(B,A)
& ~ v3_struct_0(B)
& v4_orders_2(B)
& v1_yellow_0(B)
& v4_yellow_0(B,A)
& v6_yellow_0(B,A)
& v8_yellow_0(B,A)
& v4_waybel_0(B,A)
& v6_waybel34(B,A)
& v7_waybel34(B,A) ) ) ).
fof(cc5_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_yellow_0(A)
& v1_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( m1_yellow_0(B,A)
=> ( ( v4_yellow_0(B,A)
& v6_yellow_0(B,A)
& v7_waybel34(B,A) )
=> ( ~ v3_struct_0(B)
& v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_yellow_0(B)
& v4_yellow_0(B,A)
& v6_yellow_0(B,A)
& v1_lattice3(B)
& v6_waybel34(B,A)
& v7_waybel34(B,A) ) ) ) ) ).
fof(cc6_waybel34,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A)
& ~ v3_struct_0(B)
& l1_orders_2(B) )
=> ! [C] :
( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
=> ( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v18_waybel_0(C,A,B) )
=> ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v4_waybel34(C,A,B) ) ) ) ) ).
fof(cc7_waybel34,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A)
& ~ v3_struct_0(B)
& l1_orders_2(B) )
=> ! [C] :
( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
=> ( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v4_waybel34(C,A,B) )
=> ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v20_waybel_0(C,A,B)
& v5_waybel34(C,A,B) ) ) ) ) ).
fof(rc6_waybel34,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A)
& ~ v3_struct_0(B)
& v2_orders_2(B)
& v4_orders_2(B)
& v1_yellow_0(B)
& l1_orders_2(B) )
=> ? [C] :
( m1_relset_1(C,u1_struct_0(A),u1_struct_0(B))
& v1_relat_1(C)
& v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v18_waybel_0(C,A,B)
& v20_waybel_0(C,A,B)
& v22_waybel_0(C,A,B)
& v4_waybel34(C,A,B)
& v5_waybel34(C,A,B) ) ) ).
fof(fc14_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_yellow_0(A)
& l1_orders_2(A) )
=> ( ~ v3_struct_0(k1_waybel_8(A))
& v1_orders_2(k1_waybel_8(A))
& v2_orders_2(k1_waybel_8(A))
& v3_orders_2(k1_waybel_8(A))
& v4_orders_2(k1_waybel_8(A))
& v1_yellow_0(k1_waybel_8(A))
& v4_yellow_0(k1_waybel_8(A),A) ) ) ).
fof(fc15_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ( ~ v3_struct_0(k1_waybel_8(A))
& v1_orders_2(k1_waybel_8(A))
& v2_orders_2(k1_waybel_8(A))
& v3_orders_2(k1_waybel_8(A))
& v4_orders_2(k1_waybel_8(A))
& v1_yellow_0(k1_waybel_8(A))
& v4_yellow_0(k1_waybel_8(A),A)
& v6_yellow_0(k1_waybel_8(A),A)
& v1_lattice3(k1_waybel_8(A))
& v6_waybel34(k1_waybel_8(A),A)
& v7_waybel34(k1_waybel_8(A),A) ) ) ).
fof(t1_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_orders_2(B) )
=> ! [C] :
( ( ~ v3_struct_0(C)
& l1_orders_2(C) )
=> ! [D] :
( ( ~ v3_struct_0(D)
& l1_orders_2(D) )
=> ( ( g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = g1_orders_2(u1_struct_0(C),u1_orders_2(C))
& g1_orders_2(u1_struct_0(B),u1_orders_2(B)) = g1_orders_2(u1_struct_0(D),u1_orders_2(D)) )
=> ! [E] :
( m1_waybel_1(E,A,B)
=> ! [F] :
( m1_waybel_1(F,C,D)
=> ( ( E = F
& v3_waybel_1(E,A,B) )
=> v3_waybel_1(F,C,D) ) ) ) ) ) ) ) ) ).
fof(d1_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( v3_lattice3(A)
& v3_lattice3(B)
& v17_waybel_0(C,A,B) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,u1_struct_0(B),u1_struct_0(A))
& m2_relset_1(D,u1_struct_0(B),u1_struct_0(A)) )
=> ( D = k1_waybel34(A,B,C)
<=> v3_waybel_1(k1_waybel_1(A,B,C,D),A,B) ) ) ) ) ) ) ).
fof(d2_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ( ( v3_lattice3(A)
& v3_lattice3(B)
& v18_waybel_0(C,B,A) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ( D = k2_waybel34(A,B,C)
<=> v3_waybel_1(k1_waybel_1(A,B,D,C),A,B) ) ) ) ) ) ) ).
fof(t2_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> k7_yellow_2(u1_struct_0(B),A,k1_waybel34(A,B,C),D) = k2_yellow_0(A,k5_pre_topc(A,B,C,k7_waybel_0(B,D))) ) ) ) ) ).
fof(t3_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
& v18_waybel_0(C,B,A)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> k7_yellow_2(u1_struct_0(A),B,k2_waybel34(A,B,C),D) = k1_yellow_0(B,k5_pre_topc(B,A,C,k6_waybel_0(A,D))) ) ) ) ) ).
fof(d3_waybel34,axiom,
! [A] :
( l1_orders_2(A)
=> ! [B] :
( l1_orders_2(B)
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> k3_waybel34(A,B,C) = C ) ) ) ).
fof(t4_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> k1_waybel34(A,B,C) = k2_waybel34(k7_lattice3(B),k7_lattice3(A),k3_waybel34(A,B,C)) ) ) ) ).
fof(t5_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v18_waybel_0(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> k1_waybel34(k7_lattice3(A),k7_lattice3(B),k3_waybel34(A,B,C)) = k2_waybel34(B,A,C) ) ) ) ).
fof(t6_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A) )
=> v3_waybel_1(k1_waybel_1(A,A,k7_grcat_1(A),k7_grcat_1(A)),A,A) ) ).
fof(t7_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ( k1_waybel34(A,A,k7_grcat_1(A)) = k7_grcat_1(A)
& k2_waybel34(A,A,k7_grcat_1(A)) = k7_grcat_1(A) ) ) ).
fof(t8_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v2_orders_2(C)
& v3_orders_2(C)
& v4_orders_2(C)
& v1_lattice3(C)
& v2_lattice3(C)
& v3_lattice3(C)
& l1_orders_2(C) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(D,A,B)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,u1_struct_0(B),u1_struct_0(C))
& v17_waybel_0(E,B,C)
& m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) )
=> k1_waybel34(A,C,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E)) = k7_funct_2(u1_struct_0(C),u1_struct_0(B),u1_struct_0(A),k1_waybel34(B,C,E),k1_waybel34(A,B,D)) ) ) ) ) ) ).
fof(t9_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v2_orders_2(C)
& v3_orders_2(C)
& v4_orders_2(C)
& v1_lattice3(C)
& v2_lattice3(C)
& v3_lattice3(C)
& l1_orders_2(C) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
& v18_waybel_0(D,A,B)
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,u1_struct_0(B),u1_struct_0(C))
& v18_waybel_0(E,B,C)
& m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) )
=> k2_waybel34(C,A,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E)) = k7_funct_2(u1_struct_0(C),u1_struct_0(B),u1_struct_0(A),k2_waybel34(C,B,E),k2_waybel34(B,A,D)) ) ) ) ) ) ).
fof(t10_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> k2_waybel34(A,B,k1_waybel34(A,B,C)) = C ) ) ) ).
fof(t11_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v18_waybel_0(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> k1_waybel34(B,A,k2_waybel34(B,A,C)) = C ) ) ) ).
fof(t12_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l2_altcat_1(A) )
=> ! [B,C,D] :
~ ( r2_hidden(D,k1_binop_1(u1_altcat_1(A),B,C))
& ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(A))
=> ~ ( E = B
& F = C
& r2_hidden(D,k1_altcat_1(A,E,F))
& m1_subset_1(D,k1_altcat_1(A,E,F)) ) ) ) ) ) ).
fof(d4_waybel34,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ( ~ ! [B] :
( m1_subset_1(B,A)
=> v1_xboole_0(B) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_altcat_1(B)
& v6_altcat_1(B)
& v11_altcat_1(B)
& v12_altcat_1(B)
& v2_yellow21(B)
& l2_altcat_1(B) )
=> ( B = k4_waybel34(A)
<=> ( ! [C] :
( ( v2_orders_2(C)
& v3_orders_2(C)
& v4_orders_2(C)
& v1_lattice3(C)
& v2_lattice3(C)
& l1_orders_2(C) )
=> ( m1_subset_1(C,u1_struct_0(B))
<=> ( v1_orders_2(C)
& v3_lattice3(C)
& r2_hidden(u1_struct_0(C),A) ) ) )
& ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,u1_struct_0(k3_yellow21(B,C)),u1_struct_0(k3_yellow21(B,D)))
& v5_orders_3(E,k3_yellow21(B,C),k3_yellow21(B,D))
& m2_relset_1(E,u1_struct_0(k3_yellow21(B,C)),u1_struct_0(k3_yellow21(B,D))) )
=> ( r2_hidden(E,k1_altcat_1(B,C,D))
<=> v17_waybel_0(E,k3_yellow21(B,C),k3_yellow21(B,D)) ) ) ) ) ) ) ) ) ) ).
fof(d5_waybel34,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ( ~ ! [B] :
( m1_subset_1(B,A)
=> v1_xboole_0(B) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_altcat_1(B)
& v6_altcat_1(B)
& v11_altcat_1(B)
& v12_altcat_1(B)
& v2_yellow21(B)
& l2_altcat_1(B) )
=> ( B = k5_waybel34(A)
<=> ( ! [C] :
( ( v2_orders_2(C)
& v3_orders_2(C)
& v4_orders_2(C)
& v1_lattice3(C)
& v2_lattice3(C)
& l1_orders_2(C) )
=> ( m1_subset_1(C,u1_struct_0(B))
<=> ( v1_orders_2(C)
& v3_lattice3(C)
& r2_hidden(u1_struct_0(C),A) ) ) )
& ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,u1_struct_0(k3_yellow21(B,C)),u1_struct_0(k3_yellow21(B,D)))
& v5_orders_3(E,k3_yellow21(B,C),k3_yellow21(B,D))
& m2_relset_1(E,u1_struct_0(k3_yellow21(B,C)),u1_struct_0(k3_yellow21(B,D))) )
=> ( r2_hidden(E,k1_altcat_1(B,C,D))
<=> v18_waybel_0(E,k3_yellow21(B,C),k3_yellow21(B,D)) ) ) ) ) ) ) ) ) ) ).
fof(t13_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& l1_orders_2(B) )
=> ( m1_subset_1(B,u1_struct_0(k4_waybel34(A)))
<=> ( v1_orders_2(B)
& v3_lattice3(B)
& r2_hidden(u1_struct_0(B),A) ) ) ) ) ).
fof(t14_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( m1_subset_1(B,u1_struct_0(k4_waybel34(A)))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(k4_waybel34(A)))
=> ! [D] :
( r2_hidden(D,k1_altcat_1(k4_waybel34(A),B,C))
<=> ( v1_funct_1(D)
& v1_funct_2(D,u1_struct_0(k4_yellow21(k4_waybel34(A),B)),u1_struct_0(k4_yellow21(k4_waybel34(A),C)))
& v17_waybel_0(D,k4_yellow21(k4_waybel34(A),B),k4_yellow21(k4_waybel34(A),C))
& m2_relset_1(D,u1_struct_0(k4_yellow21(k4_waybel34(A),B)),u1_struct_0(k4_yellow21(k4_waybel34(A),C))) ) ) ) ) ) ).
fof(t15_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& l1_orders_2(B) )
=> ( m1_subset_1(B,u1_struct_0(k5_waybel34(A)))
<=> ( v1_orders_2(B)
& v3_lattice3(B)
& r2_hidden(u1_struct_0(B),A) ) ) ) ) ).
fof(t16_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( m1_subset_1(B,u1_struct_0(k5_waybel34(A)))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(k5_waybel34(A)))
=> ! [D] :
( r2_hidden(D,k1_altcat_1(k5_waybel34(A),B,C))
<=> ( v1_funct_1(D)
& v1_funct_2(D,u1_struct_0(k4_yellow21(k5_waybel34(A),B)),u1_struct_0(k4_yellow21(k5_waybel34(A),C)))
& v18_waybel_0(D,k4_yellow21(k5_waybel34(A),B),k4_yellow21(k5_waybel34(A),C))
& m2_relset_1(D,u1_struct_0(k4_yellow21(k5_waybel34(A),B)),u1_struct_0(k4_yellow21(k5_waybel34(A),C))) ) ) ) ) ) ).
fof(t17_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> u1_struct_0(k4_waybel34(A)) = u1_struct_0(k5_waybel34(A)) ) ).
fof(d6_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( ( v9_functor0(B,k4_waybel34(A),k5_waybel34(A))
& v16_functor0(B,k4_waybel34(A),k5_waybel34(A))
& m2_functor0(B,k4_waybel34(A),k5_waybel34(A)) )
=> ( B = k6_waybel34(A)
<=> ( ! [C] :
( m1_subset_1(C,u1_struct_0(k4_waybel34(A)))
=> k3_functor0(k4_waybel34(A),k5_waybel34(A),B,C) = k4_yellow21(k4_waybel34(A),C) )
& ! [C] :
( m1_subset_1(C,u1_struct_0(k4_waybel34(A)))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(k4_waybel34(A)))
=> ( k1_altcat_1(k4_waybel34(A),C,D) != k1_xboole_0
=> ! [E] :
( m1_subset_1(E,k1_altcat_1(k4_waybel34(A),C,D))
=> k8_functor0(k4_waybel34(A),k5_waybel34(A),B,C,D,E) = k1_waybel34(k3_yellow21(k4_waybel34(A),C),k3_yellow21(k4_waybel34(A),D),k5_yellow21(k4_waybel34(A),C,D,E)) ) ) ) ) ) ) ) ) ).
fof(d7_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( ( v9_functor0(B,k5_waybel34(A),k4_waybel34(A))
& v16_functor0(B,k5_waybel34(A),k4_waybel34(A))
& m2_functor0(B,k5_waybel34(A),k4_waybel34(A)) )
=> ( B = k7_waybel34(A)
<=> ( ! [C] :
( m1_subset_1(C,u1_struct_0(k5_waybel34(A)))
=> k3_functor0(k5_waybel34(A),k4_waybel34(A),B,C) = k4_yellow21(k5_waybel34(A),C) )
& ! [C] :
( m1_subset_1(C,u1_struct_0(k5_waybel34(A)))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(k5_waybel34(A)))
=> ( k1_altcat_1(k5_waybel34(A),C,D) != k1_xboole_0
=> ! [E] :
( m1_subset_1(E,k1_altcat_1(k5_waybel34(A),C,D))
=> k8_functor0(k5_waybel34(A),k4_waybel34(A),B,C,D,E) = k2_waybel34(k3_yellow21(k5_waybel34(A),D),k3_yellow21(k5_waybel34(A),C),k5_yellow21(k5_waybel34(A),C,D,E)) ) ) ) ) ) ) ) ) ).
fof(t18_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( k15_functor0(k4_waybel34(A),k5_waybel34(A),k6_waybel34(A)) = k7_waybel34(A)
& k15_functor0(k5_waybel34(A),k4_waybel34(A),k7_waybel34(A)) = k6_waybel34(A) ) ) ).
fof(t19_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( k13_functor0(k5_waybel34(A),k4_waybel34(A),k5_waybel34(A),k7_waybel34(A),k6_waybel34(A)) = k12_functor0(k5_waybel34(A))
& k13_functor0(k4_waybel34(A),k5_waybel34(A),k4_waybel34(A),k6_waybel34(A),k7_waybel34(A)) = k12_functor0(k4_waybel34(A)) ) ) ).
fof(t20_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> r2_functor0(k4_waybel34(A),k5_waybel34(A)) ) ).
fof(t21_waybel34,axiom,
$true ).
fof(t22_waybel34,axiom,
$true ).
fof(t23_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v22_waybel_0(C,A,B)
<=> ! [D] :
( ( v4_waybel11(D)
& m1_yellow_9(D,B) )
=> ! [E] :
( ( v4_waybel11(E)
& m1_yellow_9(E,A) )
=> ! [F] :
( ( v3_pre_topc(F,D)
& m1_subset_1(F,k1_zfmisc_1(u1_struct_0(D))) )
=> ( v3_pre_topc(k5_waybel_0(A,k4_pre_topc(B,A,k1_waybel34(A,B,C),F)),E)
& m1_subset_1(k5_waybel_0(A,k4_pre_topc(B,A,k1_waybel34(A,B,C),F)),k1_zfmisc_1(u1_struct_0(E))) ) ) ) ) ) ) ) ) ).
fof(d8_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_orders_2(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_orders_2(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v1_waybel34(C,A,B)
<=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ( r1_waybel_3(A,D,E)
=> r1_waybel_3(B,k7_yellow_2(u1_struct_0(A),B,C,D),k7_yellow_2(u1_struct_0(A),B,C,E)) ) ) ) ) ) ) ) ).
fof(t24_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v22_waybel_0(C,A,B)
=> v1_waybel34(k1_waybel34(A,B,C),B,A) ) ) ) ) ).
fof(t25_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& v3_waybel_3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v1_waybel34(k1_waybel34(A,B,C),B,A)
=> v22_waybel_0(C,A,B) ) ) ) ) ).
fof(d9_waybel34,axiom,
! [A] :
( ( v2_pre_topc(A)
& l1_pre_topc(A) )
=> ! [B] :
( ( v2_pre_topc(B)
& l1_pre_topc(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v2_waybel34(C,A,B)
<=> ! [D] :
( ( v3_pre_topc(D,A)
& m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) )
=> ( v3_pre_topc(k4_pre_topc(A,B,C,D),k3_pre_topc(B,k1_yellow_2(A,B,C)))
& m1_subset_1(k4_pre_topc(A,B,C,D),k1_zfmisc_1(u1_struct_0(k3_pre_topc(B,k1_yellow_2(A,B,C))))) ) ) ) ) ) ) ).
fof(t26_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_pre_topc(A)
& l1_pre_topc(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_pre_topc(B)
& l1_pre_topc(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v2_waybel34(C,A,B)
<=> v1_t_0topsp(k8_waybel18(A,B,C),A,k7_waybel18(A,B,C)) ) ) ) ) ).
fof(t27_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v4_waybel11(D)
& m1_yellow_9(D,B) )
=> ! [E] :
( ( v4_waybel11(E)
& m1_yellow_9(E,A) )
=> ! [F] :
( ( v3_pre_topc(F,D)
& m1_subset_1(F,k1_zfmisc_1(u1_struct_0(D))) )
=> k4_pre_topc(B,A,k1_waybel34(A,B,C),F) = k5_subset_1(u1_struct_0(A),k8_yellow_2(u1_struct_0(B),A,k1_waybel34(A,B,C)),k5_waybel_0(A,k4_pre_topc(B,A,k1_waybel34(A,B,C),F))) ) ) ) ) ) ) ).
fof(t28_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v4_waybel11(D)
& m1_yellow_9(D,B) )
=> ! [E] :
( ( v4_waybel11(E)
& m1_yellow_9(E,A) )
=> ( ! [F] :
( ( v3_pre_topc(F,D)
& m1_subset_1(F,k1_zfmisc_1(u1_struct_0(D))) )
=> ( v3_pre_topc(k5_waybel_0(A,k4_pre_topc(B,A,k1_waybel34(A,B,C),F)),E)
& m1_subset_1(k5_waybel_0(A,k4_pre_topc(B,A,k1_waybel34(A,B,C),F)),k1_zfmisc_1(u1_struct_0(E))) ) )
=> ! [F] :
( ( v1_funct_1(F)
& v1_funct_2(F,u1_struct_0(D),u1_struct_0(E))
& m2_relset_1(F,u1_struct_0(D),u1_struct_0(E)) )
=> ( F = k1_waybel34(A,B,C)
=> v2_waybel34(F,D,E) ) ) ) ) ) ) ) ) ).
fof(t29_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( v4_waybel11(D)
& m1_yellow_9(D,B) )
=> ! [E] :
( ( v4_waybel11(E)
& m1_yellow_9(E,A) )
=> ! [F] :
( ( v4_waybel11(F)
& m1_yellow_9(F,k2_yellow_2(B,A,k1_waybel34(A,B,C))) )
=> ! [G] :
( ( v1_funct_1(G)
& v1_funct_2(G,u1_struct_0(D),u1_struct_0(E))
& m2_relset_1(G,u1_struct_0(D),u1_struct_0(E)) )
=> ! [H] :
( ( v1_funct_1(H)
& v1_funct_2(H,u1_struct_0(D),u1_struct_0(F))
& m2_relset_1(H,u1_struct_0(D),u1_struct_0(F)) )
=> ( ( G = k1_waybel34(A,B,C)
& H = G
& v2_waybel34(G,D,E) )
=> v1_t_0topsp(H,D,F) ) ) ) ) ) ) ) ) ) ).
fof(t30_waybel34,axiom,
! [A] :
( l1_pre_topc(A)
=> ! [B] :
( l1_pre_topc(B)
=> ! [C] :
( l1_pre_topc(C)
=> ! [D] :
( l1_pre_topc(D)
=> ( ( g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) = g1_pre_topc(u1_struct_0(B),u1_pre_topc(B))
& g1_pre_topc(u1_struct_0(C),u1_pre_topc(C)) = g1_pre_topc(u1_struct_0(D),u1_pre_topc(D))
& m1_pre_topc(C,A) )
=> m1_pre_topc(D,B) ) ) ) ) ) ).
fof(t31_waybel34,axiom,
! [A] :
( l1_pre_topc(A)
=> k3_pre_topc(A,k2_pre_topc(A)) = g1_pre_topc(u1_struct_0(A),u1_pre_topc(A)) ) ).
fof(t32_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v2_funct_1(C)
=> ! [D] :
( ( v4_waybel11(D)
& m1_yellow_9(D,B) )
=> ! [E] :
( ( v4_waybel11(E)
& m1_yellow_9(E,A) )
=> ! [F] :
( ( v1_funct_1(F)
& v1_funct_2(F,u1_struct_0(D),u1_struct_0(E))
& m2_relset_1(F,u1_struct_0(D),u1_struct_0(E)) )
=> ( F = k1_waybel34(A,B,C)
=> ( v22_waybel_0(C,A,B)
<=> v1_t_0topsp(F,D,E) ) ) ) ) ) ) ) ) ) ).
fof(t33_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v8_waybel_1(B,A)
& m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
=> ( v17_waybel_0(k2_waybel_1(A,A,B),A,k2_yellow_2(A,A,B))
& v18_waybel_0(k3_waybel_1(A,A,B),k2_yellow_2(A,A,B),A)
& k1_waybel34(A,k2_yellow_2(A,A,B),k2_waybel_1(A,A,B)) = k3_waybel_1(A,A,B)
& k2_waybel34(A,k2_yellow_2(A,A,B),k3_waybel_1(A,A,B)) = k2_waybel_1(A,A,B) ) ) ) ).
fof(t34_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v8_waybel_1(B,A)
& m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
=> ( v22_waybel_0(B,A,A)
<=> v22_waybel_0(k2_waybel_1(A,A,B),A,k2_yellow_2(A,A,B)) ) ) ) ).
fof(t35_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v8_waybel_1(B,A)
& m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
=> ( v22_waybel_0(B,A,A)
<=> ! [C] :
( ( v4_waybel11(C)
& m1_yellow_9(C,k2_yellow_2(A,A,B)) )
=> ! [D] :
( ( v4_waybel11(D)
& m1_yellow_9(D,A) )
=> ! [E] :
( m1_subset_1(E,k1_zfmisc_1(u1_struct_0(A)))
=> ( ( v3_pre_topc(E,C)
& m1_subset_1(E,k1_zfmisc_1(u1_struct_0(C))) )
=> ( v3_pre_topc(k5_waybel_0(A,E),D)
& m1_subset_1(k5_waybel_0(A,E),k1_zfmisc_1(u1_struct_0(D))) ) ) ) ) ) ) ) ) ).
fof(t36_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v4_yellow_0(B,A)
& v8_yellow_0(B,A)
& m1_yellow_0(B,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(B))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(B))
=> ( ( E = C
& F = D
& r1_waybel_3(A,C,D) )
=> r1_waybel_3(B,E,F) ) ) ) ) ) ) ) ).
fof(t37_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v8_waybel_1(B,A)
& m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
=> ( v22_waybel_0(B,A,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(k2_yellow_2(A,A,B)))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(k2_yellow_2(A,A,B)))
=> ( ( E = C
& F = D )
=> ( r1_waybel_3(A,C,D)
<=> r1_waybel_3(k2_yellow_2(A,A,B),E,F) ) ) ) ) ) ) ) ) ) ).
fof(t38_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v8_waybel_1(B,A)
& m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
=> ( ( v3_waybel_3(k2_yellow_2(A,A,B))
& ! [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(k2_yellow_2(A,A,B)))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(k2_yellow_2(A,A,B)))
=> ( ( E = C
& F = D )
=> ( r1_waybel_3(A,C,D)
<=> r1_waybel_3(k2_yellow_2(A,A,B),E,F) ) ) ) ) ) ) )
=> v22_waybel_0(B,A,A) ) ) ) ).
fof(t39_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v7_waybel_1(B,A)
& m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
=> ( v18_waybel_0(k2_waybel_1(A,A,B),A,k2_yellow_2(A,A,B))
& v17_waybel_0(k3_waybel_1(A,A,B),k2_yellow_2(A,A,B),A)
& k2_waybel34(k2_yellow_2(A,A,B),A,k2_waybel_1(A,A,B)) = k3_waybel_1(A,A,B)
& k1_waybel34(k2_yellow_2(A,A,B),A,k3_waybel_1(A,A,B)) = k2_waybel_1(A,A,B) ) ) ) ).
fof(t40_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v7_waybel_1(B,A)
& m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
=> ( v4_waybel_0(k2_yellow_2(A,A,B),A)
<=> v22_waybel_0(k3_waybel_1(A,A,B),k2_yellow_2(A,A,B),A) ) ) ) ).
fof(t41_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v7_waybel_1(B,A)
& m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
=> ( v4_waybel_0(k2_yellow_2(A,A,B),A)
<=> ! [C] :
( ( v4_waybel11(C)
& m1_yellow_9(C,k2_yellow_2(A,A,B)) )
=> ! [D] :
( ( v4_waybel11(D)
& m1_yellow_9(D,A) )
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,u1_struct_0(D),u1_struct_0(C))
& m2_relset_1(E,u1_struct_0(D),u1_struct_0(C)) )
=> ( E = B
=> v1_t_0topsp(E,D,C) ) ) ) ) ) ) ) ).
fof(t42_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v7_waybel_1(B,A)
& m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
=> ( v4_waybel_0(k2_yellow_2(A,A,B),A)
=> v1_waybel34(k2_waybel_1(A,A,B),A,k2_yellow_2(A,A,B)) ) ) ) ).
fof(t43_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& v3_waybel_3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v1_funct_1(B)
& v1_funct_2(B,u1_struct_0(A),u1_struct_0(A))
& v7_waybel_1(B,A)
& m2_relset_1(B,u1_struct_0(A),u1_struct_0(A)) )
=> ( v1_waybel34(k2_waybel_1(A,A,B),A,k2_yellow_2(A,A,B))
=> v4_waybel_0(k2_yellow_2(A,A,B),A) ) ) ) ).
fof(d10_waybel34,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_altcat_1(B)
& v6_altcat_1(B)
& v3_altcat_2(B,k4_waybel34(A))
& m1_altcat_2(B,k4_waybel34(A)) )
=> ( B = k8_waybel34(A)
<=> ( ! [C] :
( m1_subset_1(C,u1_struct_0(k4_waybel34(A)))
=> m1_subset_1(C,u1_struct_0(B)) )
& ! [C] :
( m1_subset_1(C,u1_struct_0(k4_waybel34(A)))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(k4_waybel34(A)))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(B))
=> ( ( E = C
& F = D )
=> ( k1_altcat_1(k4_waybel34(A),C,D) = k1_xboole_0
| ! [G] :
( m1_subset_1(G,k1_altcat_1(k4_waybel34(A),C,D))
=> ( r2_hidden(G,k1_altcat_1(B,E,F))
<=> v22_waybel_0(k5_yellow21(k4_waybel34(A),C,D,G),k3_yellow21(k4_waybel34(A),C),k3_yellow21(k4_waybel34(A),D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d11_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_altcat_1(B)
& v6_altcat_1(B)
& v3_altcat_2(B,k5_waybel34(A))
& m1_altcat_2(B,k5_waybel34(A)) )
=> ( B = k9_waybel34(A)
<=> ( ! [C] :
( m1_subset_1(C,u1_struct_0(k5_waybel34(A)))
=> m1_subset_1(C,u1_struct_0(B)) )
& ! [C] :
( m1_subset_1(C,u1_struct_0(k5_waybel34(A)))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(k5_waybel34(A)))
=> ! [E] :
( m1_subset_1(E,u1_struct_0(B))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(B))
=> ( ( E = C
& F = D )
=> ( k1_altcat_1(k5_waybel34(A),C,D) = k1_xboole_0
| ! [G] :
( m1_subset_1(G,k1_altcat_1(k5_waybel34(A),C,D))
=> ( r2_hidden(G,k1_altcat_1(B,E,F))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(A),D),k3_yellow21(k5_waybel34(A),C),k5_yellow21(k5_waybel34(A),C,D,G)),k3_yellow21(k5_waybel34(A),D),k3_yellow21(k5_waybel34(A),C)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_orders_2(B)
& v4_orders_2(B)
& l1_orders_2(B) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ! [D] :
( ( ~ v1_xboole_0(D)
& m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) )
=> ( r4_waybel_0(A,B,k3_borsuk_1(A,B,C),D)
& r3_waybel_0(A,B,k3_borsuk_1(A,B,C),D) ) ) ) ) ) ).
fof(t45_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_orders_2(B)
& v4_orders_2(B)
& v1_yellow_0(B)
& l1_orders_2(B) )
=> v18_waybel_0(k3_borsuk_1(A,B,k3_yellow_0(B)),A,B) ) ) ).
fof(t46_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_orders_2(B)
& v4_orders_2(B)
& v2_yellow_0(B)
& l1_orders_2(B) )
=> v17_waybel_0(k3_borsuk_1(A,B,k4_yellow_0(B)),A,B) ) ) ).
fof(t47_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& l1_orders_2(B) )
=> ( m1_subset_1(B,u1_struct_0(k8_waybel34(A)))
<=> ( v1_orders_2(B)
& v3_lattice3(B)
& r2_hidden(u1_struct_0(B),A) ) ) ) ) ).
fof(t48_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( m1_subset_1(B,u1_struct_0(k8_waybel34(A)))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(k8_waybel34(A)))
=> ! [D] :
( r2_hidden(D,k1_altcat_1(k8_waybel34(A),B,C))
<=> ( v1_funct_1(D)
& v1_funct_2(D,u1_struct_0(k4_yellow21(k8_waybel34(A),B)),u1_struct_0(k4_yellow21(k8_waybel34(A),C)))
& v17_waybel_0(D,k4_yellow21(k8_waybel34(A),B),k4_yellow21(k8_waybel34(A),C))
& v22_waybel_0(D,k4_yellow21(k8_waybel34(A),B),k4_yellow21(k8_waybel34(A),C))
& m2_relset_1(D,u1_struct_0(k4_yellow21(k8_waybel34(A),B)),u1_struct_0(k4_yellow21(k8_waybel34(A),C))) ) ) ) ) ) ).
fof(t49_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& l1_orders_2(B) )
=> ( m1_subset_1(B,u1_struct_0(k9_waybel34(A)))
<=> ( v1_orders_2(B)
& v3_lattice3(B)
& r2_hidden(u1_struct_0(B),A) ) ) ) ) ).
fof(t50_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( m1_subset_1(B,u1_struct_0(k9_waybel34(A)))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(k9_waybel34(A)))
=> ! [D] :
( r2_hidden(D,k1_altcat_1(k9_waybel34(A),B,C))
<=> ? [E] :
( v1_funct_1(E)
& v1_funct_2(E,u1_struct_0(k4_yellow21(k9_waybel34(A),B)),u1_struct_0(k4_yellow21(k9_waybel34(A),C)))
& v18_waybel_0(E,k4_yellow21(k9_waybel34(A),B),k4_yellow21(k9_waybel34(A),C))
& m2_relset_1(E,u1_struct_0(k4_yellow21(k9_waybel34(A),B)),u1_struct_0(k4_yellow21(k9_waybel34(A),C)))
& E = D
& v22_waybel_0(k2_waybel34(k4_yellow21(k9_waybel34(A),C),k4_yellow21(k9_waybel34(A),B),E),k4_yellow21(k9_waybel34(A),C),k4_yellow21(k9_waybel34(A),B)) ) ) ) ) ) ).
fof(t51_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> k8_waybel34(A) = k2_yellow20(k4_waybel34(A),k6_yellow21(A)) ) ).
fof(d12_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_altcat_1(B)
& v6_altcat_1(B)
& v2_altcat_2(B,k8_waybel34(A))
& v3_altcat_2(B,k8_waybel34(A))
& m1_altcat_2(B,k8_waybel34(A)) )
=> ( B = k10_waybel34(A)
<=> ! [C] :
( m1_subset_1(C,u1_struct_0(k8_waybel34(A)))
=> ( m1_subset_1(C,u1_struct_0(B))
<=> v3_waybel_3(k4_yellow21(k8_waybel34(A),C)) ) ) ) ) ) ).
fof(t52_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& l1_orders_2(B) )
=> ( r2_hidden(u1_struct_0(B),A)
=> ( m1_subset_1(B,u1_struct_0(k10_waybel34(A)))
<=> ( v1_orders_2(B)
& v3_lattice3(B)
& v3_waybel_3(B) ) ) ) ) ) ).
fof(t53_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( m1_subset_1(B,u1_struct_0(k10_waybel34(A)))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(k10_waybel34(A)))
=> ! [D] :
( r2_hidden(D,k1_altcat_1(k10_waybel34(A),B,C))
<=> ( v1_funct_1(D)
& v1_funct_2(D,u1_struct_0(k4_yellow21(k10_waybel34(A),B)),u1_struct_0(k4_yellow21(k10_waybel34(A),C)))
& v17_waybel_0(D,k4_yellow21(k10_waybel34(A),B),k4_yellow21(k10_waybel34(A),C))
& v22_waybel_0(D,k4_yellow21(k10_waybel34(A),B),k4_yellow21(k10_waybel34(A),C))
& m2_relset_1(D,u1_struct_0(k4_yellow21(k10_waybel34(A),B)),u1_struct_0(k4_yellow21(k10_waybel34(A),C))) ) ) ) ) ) ).
fof(d13_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_altcat_1(B)
& v6_altcat_1(B)
& v2_altcat_2(B,k9_waybel34(A))
& v3_altcat_2(B,k9_waybel34(A))
& m1_altcat_2(B,k9_waybel34(A)) )
=> ( B = k11_waybel34(A)
<=> ! [C] :
( m1_subset_1(C,u1_struct_0(k9_waybel34(A)))
=> ( m1_subset_1(C,u1_struct_0(B))
<=> v3_waybel_3(k4_yellow21(k9_waybel34(A),C)) ) ) ) ) ) ).
fof(t54_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& l1_orders_2(B) )
=> ( r2_hidden(u1_struct_0(B),A)
=> ( m1_subset_1(B,u1_struct_0(k11_waybel34(A)))
<=> ( v1_orders_2(B)
& v3_lattice3(B)
& v3_waybel_3(B) ) ) ) ) ) ).
fof(t55_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ! [B] :
( m1_subset_1(B,u1_struct_0(k11_waybel34(A)))
=> ! [C] :
( m1_subset_1(C,u1_struct_0(k11_waybel34(A)))
=> ! [D] :
( r2_hidden(D,k1_altcat_1(k11_waybel34(A),B,C))
<=> ? [E] :
( v1_funct_1(E)
& v1_funct_2(E,u1_struct_0(k4_yellow21(k11_waybel34(A),B)),u1_struct_0(k4_yellow21(k11_waybel34(A),C)))
& v18_waybel_0(E,k4_yellow21(k11_waybel34(A),B),k4_yellow21(k11_waybel34(A),C))
& m2_relset_1(E,u1_struct_0(k4_yellow21(k11_waybel34(A),B)),u1_struct_0(k4_yellow21(k11_waybel34(A),C)))
& E = D
& v22_waybel_0(k2_waybel34(k4_yellow21(k11_waybel34(A),C),k4_yellow21(k11_waybel34(A),B),E),k4_yellow21(k11_waybel34(A),C),k4_yellow21(k11_waybel34(A),B)) ) ) ) ) ) ).
fof(t56_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> r3_yellow20(k4_waybel34(A),k5_waybel34(A),k6_waybel34(A),k8_waybel34(A),k9_waybel34(A)) ) ).
fof(t57_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> r3_yellow20(k5_waybel34(A),k4_waybel34(A),k7_waybel34(A),k9_waybel34(A),k8_waybel34(A)) ) ).
fof(t58_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> r3_yellow20(k4_waybel34(A),k5_waybel34(A),k6_waybel34(A),k10_waybel34(A),k11_waybel34(A)) ) ).
fof(t59_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> r3_yellow20(k5_waybel34(A),k4_waybel34(A),k7_waybel34(A),k11_waybel34(A),k10_waybel34(A)) ) ).
fof(d14_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_orders_2(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_orders_2(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v3_waybel34(C,A,B)
<=> ! [D] :
( m1_subset_1(D,u1_struct_0(A))
=> ( v1_waybel_3(D,A)
=> v1_waybel_3(k7_yellow_2(u1_struct_0(A),B,C,D),B) ) ) ) ) ) ) ).
fof(t60_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
& v18_waybel_0(C,B,A)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ( v1_waybel34(C,B,A)
=> v3_waybel34(C,B,A) ) ) ) ) ).
fof(t61_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
& v18_waybel_0(C,B,A)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ( ( v2_waybel_8(B)
& v3_waybel34(C,B,A) )
=> v1_waybel34(C,B,A) ) ) ) ) ).
fof(t62_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_orders_2(B) )
=> ! [C] :
( ( ~ v3_struct_0(C)
& l1_orders_2(C) )
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A)))
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(E,u1_struct_0(A),u1_struct_0(B)) )
=> ! [F] :
( ( v1_funct_1(F)
& v1_funct_2(F,u1_struct_0(B),u1_struct_0(C))
& m2_relset_1(F,u1_struct_0(B),u1_struct_0(C)) )
=> ( ( r4_waybel_0(A,B,E,D)
& r4_waybel_0(B,C,F,k4_pre_topc(A,B,E,D)) )
=> r4_waybel_0(A,C,k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),E,F),D) ) ) ) ) ) ) ) ).
fof(d15_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v4_waybel34(C,A,B)
<=> ! [D] :
( ( v1_finset_1(D)
& m1_subset_1(D,k1_zfmisc_1(u1_struct_0(A))) )
=> r4_waybel_0(A,B,C,D) ) ) ) ) ) ).
fof(d16_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v5_waybel34(C,A,B)
<=> r4_waybel_0(A,B,C,k1_pre_topc(A)) ) ) ) ) ).
fof(t63_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_orders_2(B) )
=> ! [C] :
( ( ~ v3_struct_0(C)
& l1_orders_2(C) )
=> ! [D] :
( ( v1_funct_1(D)
& v1_funct_2(D,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(D,u1_struct_0(A),u1_struct_0(B)) )
=> ! [E] :
( ( v1_funct_1(E)
& v1_funct_2(E,u1_struct_0(B),u1_struct_0(C))
& m2_relset_1(E,u1_struct_0(B),u1_struct_0(C)) )
=> ( ( v4_waybel34(D,A,B)
& v4_waybel34(E,B,C) )
=> v4_waybel34(k7_funct_2(u1_struct_0(A),u1_struct_0(B),u1_struct_0(C),D,E),A,C) ) ) ) ) ) ) ).
fof(d17_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v4_orders_2(A)
& v1_yellow_0(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v4_orders_2(B)
& v1_yellow_0(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v5_waybel34(C,A,B)
<=> k7_yellow_2(u1_struct_0(A),B,C,k3_yellow_0(A)) = k3_yellow_0(B) ) ) ) ) ).
fof(d18_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A) )
=> ! [B] :
( m1_yellow_0(B,A)
=> ( v6_waybel34(B,A)
<=> ! [C] :
( ( v1_finset_1(C)
& m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
=> ( r1_yellow_0(A,C)
=> r2_hidden(k1_yellow_0(A,C),u1_struct_0(B)) ) ) ) ) ) ).
fof(d19_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A) )
=> ! [B] :
( m1_yellow_0(B,A)
=> ( v7_waybel34(B,A)
<=> r2_hidden(k3_yellow_0(A),u1_struct_0(B)) ) ) ) ).
fof(t64_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v4_orders_2(A)
& v1_yellow_0(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v4_yellow_0(B,A)
& v7_waybel34(B,A)
& m1_yellow_0(B,A) )
=> k3_yellow_0(B) = k3_yellow_0(A) ) ) ).
fof(t65_waybel34,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_orders_2(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v4_waybel34(C,A,B)
=> ( v20_waybel_0(C,A,B)
& v5_waybel34(C,A,B) ) ) ) ) ) ).
fof(t66_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_yellow_0(A)
& v1_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_yellow_0(B)
& v1_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( ( v20_waybel_0(C,A,B)
& v5_waybel34(C,A,B) )
=> v4_waybel34(C,A,B) ) ) ) ) ).
fof(t67_waybel34,axiom,
! [A] :
( l1_orders_2(A)
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( m1_yellow_0(D,A)
=> ! [E] :
( m1_yellow_0(E,B)
=> ( r1_tarski(k4_pre_topc(A,B,C,u1_struct_0(D)),u1_struct_0(E))
=> ( v1_funct_1(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(D)))
& v1_funct_2(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(D)),u1_struct_0(D),u1_struct_0(E))
& m2_relset_1(k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(D)),u1_struct_0(D),u1_struct_0(E)) ) ) ) ) ) ) ) ).
fof(t68_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v20_waybel_0(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( ~ v3_struct_0(D)
& v4_yellow_0(D,A)
& v6_yellow_0(D,A)
& m1_yellow_0(D,A) )
=> ! [E] :
( ( ~ v3_struct_0(E)
& v4_yellow_0(E,B)
& v6_yellow_0(E,B)
& m1_yellow_0(E,B) )
=> ! [F] :
( ( v1_funct_1(F)
& v1_funct_2(F,u1_struct_0(D),u1_struct_0(E))
& m2_relset_1(F,u1_struct_0(D),u1_struct_0(E)) )
=> ( F = k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(D))
=> v20_waybel_0(F,D,E) ) ) ) ) ) ) ) ).
fof(t69_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_yellow_0(A)
& v1_lattice3(A)
& v2_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_yellow_0(B)
& v1_lattice3(B)
& v2_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v4_waybel34(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ! [D] :
( ( ~ v3_struct_0(D)
& v4_yellow_0(D,A)
& v6_waybel34(D,A)
& m1_yellow_0(D,A) )
=> ! [E] :
( ( ~ v3_struct_0(E)
& v4_yellow_0(E,B)
& v6_waybel34(E,B)
& m1_yellow_0(E,B) )
=> ! [F] :
( ( v1_funct_1(F)
& v1_funct_2(F,u1_struct_0(D),u1_struct_0(E))
& m2_relset_1(F,u1_struct_0(D),u1_struct_0(E)) )
=> ( F = k8_relset_1(u1_struct_0(A),u1_struct_0(B),C,u1_struct_0(D))
=> v4_waybel34(F,D,E) ) ) ) ) ) ) ) ).
fof(t70_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
& v18_waybel_0(C,B,A)
& m2_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ( v3_waybel34(C,B,A)
<=> ( v1_funct_1(k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,u1_struct_0(k1_waybel_8(B))))
& v1_funct_2(k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,u1_struct_0(k1_waybel_8(B))),u1_struct_0(k1_waybel_8(B)),u1_struct_0(k1_waybel_8(A)))
& v4_waybel34(k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,u1_struct_0(k1_waybel_8(B))),k1_waybel_8(B),k1_waybel_8(A))
& m2_relset_1(k8_relset_1(u1_struct_0(B),u1_struct_0(A),C,u1_struct_0(k1_waybel_8(B))),u1_struct_0(k1_waybel_8(B)),u1_struct_0(k1_waybel_8(A))) ) ) ) ) ) ).
fof(t71_waybel34,axiom,
! [A] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& v3_lattice3(A)
& l1_orders_2(A) )
=> ! [B] :
( ( v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& v3_lattice3(B)
& l1_orders_2(B) )
=> ( v2_waybel_8(B)
=> ! [C] :
( ( v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& v17_waybel_0(C,A,B)
& m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v22_waybel_0(C,A,B)
<=> ( v1_funct_1(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B))))
& v1_funct_2(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B))),u1_struct_0(k1_waybel_8(B)),u1_struct_0(k1_waybel_8(A)))
& v4_waybel34(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B))),k1_waybel_8(B),k1_waybel_8(A))
& m2_relset_1(k8_relset_1(u1_struct_0(B),u1_struct_0(A),k1_waybel34(A,B,C),u1_struct_0(k1_waybel_8(B))),u1_struct_0(k1_waybel_8(B)),u1_struct_0(k1_waybel_8(A))) ) ) ) ) ) ) ).
fof(dt_k1_waybel34,axiom,
! [A,B,C] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& l1_orders_2(A)
& v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& l1_orders_2(B)
& v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v1_funct_1(k1_waybel34(A,B,C))
& v1_funct_2(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A))
& m2_relset_1(k1_waybel34(A,B,C),u1_struct_0(B),u1_struct_0(A)) ) ) ).
fof(dt_k2_waybel34,axiom,
! [A,B,C] :
( ( v2_orders_2(A)
& v3_orders_2(A)
& v4_orders_2(A)
& v1_lattice3(A)
& v2_lattice3(A)
& l1_orders_2(A)
& v2_orders_2(B)
& v3_orders_2(B)
& v4_orders_2(B)
& v1_lattice3(B)
& v2_lattice3(B)
& l1_orders_2(B)
& v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(B),u1_struct_0(A))
& m1_relset_1(C,u1_struct_0(B),u1_struct_0(A)) )
=> ( v1_funct_1(k2_waybel34(A,B,C))
& v1_funct_2(k2_waybel34(A,B,C),u1_struct_0(A),u1_struct_0(B))
& m2_relset_1(k2_waybel34(A,B,C),u1_struct_0(A),u1_struct_0(B)) ) ) ).
fof(dt_k3_waybel34,axiom,
! [A,B,C] :
( ( l1_orders_2(A)
& l1_orders_2(B)
& v1_funct_1(C)
& v1_funct_2(C,u1_struct_0(A),u1_struct_0(B))
& m1_relset_1(C,u1_struct_0(A),u1_struct_0(B)) )
=> ( v1_funct_1(k3_waybel34(A,B,C))
& v1_funct_2(k3_waybel34(A,B,C),u1_struct_0(k7_lattice3(A)),u1_struct_0(k7_lattice3(B)))
& m2_relset_1(k3_waybel34(A,B,C),u1_struct_0(k7_lattice3(A)),u1_struct_0(k7_lattice3(B))) ) ) ).
fof(dt_k4_waybel34,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ( ~ v3_struct_0(k4_waybel34(A))
& v2_altcat_1(k4_waybel34(A))
& v6_altcat_1(k4_waybel34(A))
& v11_altcat_1(k4_waybel34(A))
& v12_altcat_1(k4_waybel34(A))
& v2_yellow21(k4_waybel34(A))
& l2_altcat_1(k4_waybel34(A)) ) ) ).
fof(dt_k5_waybel34,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ( ~ v3_struct_0(k5_waybel34(A))
& v2_altcat_1(k5_waybel34(A))
& v6_altcat_1(k5_waybel34(A))
& v11_altcat_1(k5_waybel34(A))
& v12_altcat_1(k5_waybel34(A))
& v2_yellow21(k5_waybel34(A))
& l2_altcat_1(k5_waybel34(A)) ) ) ).
fof(dt_k6_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( v9_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v16_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& m2_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) ) ) ).
fof(dt_k7_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( v9_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v16_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& m2_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A)) ) ) ).
fof(dt_k8_waybel34,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ( ~ v3_struct_0(k8_waybel34(A))
& v2_altcat_1(k8_waybel34(A))
& v6_altcat_1(k8_waybel34(A))
& v3_altcat_2(k8_waybel34(A),k4_waybel34(A))
& m1_altcat_2(k8_waybel34(A),k4_waybel34(A)) ) ) ).
fof(dt_k9_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( ~ v3_struct_0(k9_waybel34(A))
& v2_altcat_1(k9_waybel34(A))
& v6_altcat_1(k9_waybel34(A))
& v3_altcat_2(k9_waybel34(A),k5_waybel34(A))
& m1_altcat_2(k9_waybel34(A),k5_waybel34(A)) ) ) ).
fof(dt_k10_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( ~ v3_struct_0(k10_waybel34(A))
& v2_altcat_1(k10_waybel34(A))
& v6_altcat_1(k10_waybel34(A))
& v2_altcat_2(k10_waybel34(A),k8_waybel34(A))
& v3_altcat_2(k10_waybel34(A),k8_waybel34(A))
& m1_altcat_2(k10_waybel34(A),k8_waybel34(A)) ) ) ).
fof(dt_k11_waybel34,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( ~ v3_struct_0(k11_waybel34(A))
& v2_altcat_1(k11_waybel34(A))
& v6_altcat_1(k11_waybel34(A))
& v2_altcat_2(k11_waybel34(A),k9_waybel34(A))
& v3_altcat_2(k11_waybel34(A),k9_waybel34(A))
& m1_altcat_2(k11_waybel34(A),k9_waybel34(A)) ) ) ).
%------------------------------------------------------------------------------