SET007 Axioms: SET007+618.ax
%------------------------------------------------------------------------------
% File : SET007+618 : TPTP v8.2.0. Released v3.4.0.
% Domain : Set Theory
% Axioms : Propositional Calculus for Boolean Valued Functions. Part VI
% 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 : bvfunc10 [Urb08]
% Status : Satisfiable
% Syntax : Number of formulae : 27 ( 0 unt; 0 def)
% Number of atoms : 151 ( 17 equ)
% Maximal formula atoms : 8 ( 5 avg)
% Number of connectives : 151 ( 27 ~; 0 |; 2 &)
% ( 0 <=>; 122 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 10 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 0 prp; 1-4 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-3 aty)
% Number of variables : 120 ( 120 !; 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(t1_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> k8_bvfunc_1(A,k8_bvfunc_1(A,k6_valuat_1(A,B,C),k6_valuat_1(A,C,D)),k6_valuat_1(A,D,B)) = k6_valuat_1(A,k6_valuat_1(A,k8_bvfunc_1(A,B,C),k8_bvfunc_1(A,C,D)),k8_bvfunc_1(A,D,B)) ) ) ) ) ).
fof(t2_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> k8_bvfunc_1(A,k8_bvfunc_1(A,k6_valuat_1(A,B,k5_valuat_1(A,C)),k6_valuat_1(A,C,k5_valuat_1(A,D))),k6_valuat_1(A,D,k5_valuat_1(A,B))) = k8_bvfunc_1(A,k8_bvfunc_1(A,k6_valuat_1(A,C,k5_valuat_1(A,B)),k6_valuat_1(A,D,k5_valuat_1(A,C))),k6_valuat_1(A,B,k5_valuat_1(A,D))) ) ) ) ) ).
fof(t3_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> k6_valuat_1(A,k6_valuat_1(A,k8_bvfunc_1(A,B,k5_valuat_1(A,C)),k8_bvfunc_1(A,C,k5_valuat_1(A,D))),k8_bvfunc_1(A,D,k5_valuat_1(A,B))) = k6_valuat_1(A,k6_valuat_1(A,k8_bvfunc_1(A,C,k5_valuat_1(A,B)),k8_bvfunc_1(A,D,k5_valuat_1(A,C))),k8_bvfunc_1(A,B,k5_valuat_1(A,D))) ) ) ) ) ).
fof(t4_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ( ( k14_bvfunc_1(A,D,B) = k19_bvfunc_1(A)
& k14_bvfunc_1(A,D,C) = k19_bvfunc_1(A) )
=> k14_bvfunc_1(A,D,k8_bvfunc_1(A,B,C)) = k19_bvfunc_1(A) ) ) ) ) ) ).
fof(t5_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ( ( k14_bvfunc_1(A,B,D) = k19_bvfunc_1(A)
& k14_bvfunc_1(A,C,D) = k19_bvfunc_1(A) )
=> k14_bvfunc_1(A,k6_valuat_1(A,B,C),D) = k19_bvfunc_1(A) ) ) ) ) ) ).
fof(t6_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [E] :
( m2_fraenkel(E,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [F] :
( m2_fraenkel(F,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [G] :
( m2_fraenkel(G,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> r1_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,D,E)),k14_bvfunc_1(A,F,G)),k8_bvfunc_1(A,k8_bvfunc_1(A,B,D),F)),k8_bvfunc_1(A,k8_bvfunc_1(A,C,E),G)) ) ) ) ) ) ) ) ).
fof(t7_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [E] :
( m2_fraenkel(E,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,D),k14_bvfunc_1(A,C,E)),k8_bvfunc_1(A,B,C)),k5_valuat_1(A,k6_valuat_1(A,D,E))) = k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,D,B),k14_bvfunc_1(A,E,C)),k8_bvfunc_1(A,D,E)),k5_valuat_1(A,k6_valuat_1(A,B,C))) ) ) ) ) ) ).
fof(t8_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [E] :
( m2_fraenkel(E,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> k6_valuat_1(A,k8_bvfunc_1(A,B,C),k8_bvfunc_1(A,D,E)) = k8_bvfunc_1(A,k8_bvfunc_1(A,k8_bvfunc_1(A,k6_valuat_1(A,B,D),k6_valuat_1(A,B,E)),k6_valuat_1(A,C,D)),k6_valuat_1(A,C,E)) ) ) ) ) ) ).
fof(t9_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [E] :
( m2_fraenkel(E,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [F] :
( m2_fraenkel(F,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> k8_bvfunc_1(A,k6_valuat_1(A,B,C),k6_valuat_1(A,k6_valuat_1(A,D,E),F)) = k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k8_bvfunc_1(A,B,D),k8_bvfunc_1(A,B,E)),k8_bvfunc_1(A,B,F)),k8_bvfunc_1(A,C,D)),k8_bvfunc_1(A,C,E)),k8_bvfunc_1(A,C,F)) ) ) ) ) ) ) ).
fof(t10_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [E] :
( m2_fraenkel(E,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k14_bvfunc_1(A,D,E)) = k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,k6_valuat_1(A,k6_valuat_1(A,C,D),E)),k14_bvfunc_1(A,C,k6_valuat_1(A,D,E))),k14_bvfunc_1(A,D,E)) ) ) ) ) ) ).
fof(t11_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [E] :
( m2_fraenkel(E,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> r1_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,D),k14_bvfunc_1(A,C,E)),k8_bvfunc_1(A,B,C)),k8_bvfunc_1(A,D,E)) ) ) ) ) ) ).
fof(t12_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> r1_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,k6_valuat_1(A,B,C),k5_valuat_1(A,D)),B),D),k5_valuat_1(A,C)) ) ) ) ) ).
fof(t13_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [E] :
( m2_fraenkel(E,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [F] :
( m2_fraenkel(F,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [G] :
( m2_fraenkel(G,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> k14_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,B,C),D),k8_bvfunc_1(A,k8_bvfunc_1(A,E,F),G)) = k14_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,k5_valuat_1(A,E),k5_valuat_1(A,F)),D),k8_bvfunc_1(A,k8_bvfunc_1(A,k5_valuat_1(A,B),k5_valuat_1(A,C)),G)) ) ) ) ) ) ) ) ).
fof(t14_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k14_bvfunc_1(A,D,B)) = k8_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,B,C),D),k6_valuat_1(A,k6_valuat_1(A,k5_valuat_1(A,B),k5_valuat_1(A,C)),k5_valuat_1(A,D))) ) ) ) ) ).
fof(t15_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k14_bvfunc_1(A,D,B)),k8_bvfunc_1(A,k8_bvfunc_1(A,B,C),D)) = k6_valuat_1(A,k6_valuat_1(A,B,C),D) ) ) ) ) ).
fof(t16_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k8_bvfunc_1(A,B,C),k8_bvfunc_1(A,C,D)),k8_bvfunc_1(A,D,B)),k5_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,B,C),D))) = k8_bvfunc_1(A,k8_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,k5_valuat_1(A,B),C),D),k6_valuat_1(A,k6_valuat_1(A,B,k5_valuat_1(A,C)),D)),k6_valuat_1(A,k6_valuat_1(A,B,C),k5_valuat_1(A,D))) ) ) ) ) ).
fof(t17_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k14_bvfunc_1(A,B,k6_valuat_1(A,C,D))) ) ) ) ) ).
fof(t18_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k14_bvfunc_1(A,k8_bvfunc_1(A,B,C),D)) ) ) ) ) ).
fof(t19_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k14_bvfunc_1(A,B,k8_bvfunc_1(A,C,D))) ) ) ) ) ).
fof(t20_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k14_bvfunc_1(A,B,k8_bvfunc_1(A,C,k5_valuat_1(A,D)))) ) ) ) ) ).
fof(t21_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k14_bvfunc_1(A,C,k8_bvfunc_1(A,D,B))) ) ) ) ) ).
fof(t22_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k14_bvfunc_1(A,C,k8_bvfunc_1(A,D,k5_valuat_1(A,B)))) ) ) ) ) ).
fof(t23_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,k8_bvfunc_1(A,D,B)))) ) ) ) ) ).
fof(t24_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k6_valuat_1(A,k14_bvfunc_1(A,B,k8_bvfunc_1(A,C,k5_valuat_1(A,D))),k14_bvfunc_1(A,C,D))) ) ) ) ) ).
fof(t25_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k6_valuat_1(A,k14_bvfunc_1(A,B,k8_bvfunc_1(A,C,D)),k14_bvfunc_1(A,C,k8_bvfunc_1(A,D,B)))) ) ) ) ) ).
fof(t26_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k6_valuat_1(A,k14_bvfunc_1(A,B,k8_bvfunc_1(A,C,k5_valuat_1(A,D))),k14_bvfunc_1(A,C,k8_bvfunc_1(A,D,B)))) ) ) ) ) ).
fof(t27_bvfunc10,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( m2_fraenkel(B,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [C] :
( m2_fraenkel(C,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> ! [D] :
( m2_fraenkel(D,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
=> r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k6_valuat_1(A,k14_bvfunc_1(A,B,k8_bvfunc_1(A,C,k5_valuat_1(A,D))),k14_bvfunc_1(A,C,k8_bvfunc_1(A,D,k5_valuat_1(A,B))))) ) ) ) ) ).
%------------------------------------------------------------------------------