SET007 Axioms: SET007+601.ax


%------------------------------------------------------------------------------
% File     : SET007+601 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : Propositional Calculus for Boolean Valued Functions. Part V
% 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    : bvfunc_9 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :   40 (   0 unit)
%            Number of atoms       :  227 (   1 equality)
%            Maximal formula depth :   18 (  10 average)
%            Number of connectives :  227 (  40 ~  ;   0  |;   7  &)
%                                         (   0 <=>; 180 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :    4 (   0 propositional; 1-4 arity)
%            Number of functors    :    7 (   1 constant; 0-3 arity)
%            Number of variables   :  177 (   0 singleton; 177 !;   0 ?)
%            Maximal term depth    :    8 (   1 average)
% SPC      : 

% Comments : The individual reference can be found in [Mat90] by looking for
%            the name provided by [Urb08].
%          : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
%          : These set theory axioms are used in encodings of problems in
%            various domains, including ALG, CAT, GRP, LAT, SET, and TOP.
%------------------------------------------------------------------------------
fof(t1_bvfunc_9,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,k8_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k8_bvfunc_1(A,B,D)) ) ) ) ) )).

fof(t2_bvfunc_9,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))
             => r1_bvfunc_1(A,k6_valuat_1(A,B,k14_bvfunc_1(A,B,C)),C) ) ) ) )).

fof(t3_bvfunc_9,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))
             => r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k5_valuat_1(A,C)),k5_valuat_1(A,B)) ) ) ) )).

fof(t4_bvfunc_9,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))
             => r1_bvfunc_1(A,k6_valuat_1(A,k8_bvfunc_1(A,B,C),k5_valuat_1(A,B)),C) ) ) ) )).

fof(t5_bvfunc_9,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))
             => r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,k5_valuat_1(A,B),C)),C) ) ) ) )).

fof(t6_bvfunc_9,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))
             => r1_bvfunc_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,B,k5_valuat_1(A,C))),k5_valuat_1(A,B)) ) ) ) )).

fof(t7_bvfunc_9,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,k14_bvfunc_1(A,B,k6_valuat_1(A,C,D)),k14_bvfunc_1(A,B,C)) ) ) ) ) )).

fof(t8_bvfunc_9,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,k14_bvfunc_1(A,k8_bvfunc_1(A,B,C),D),k14_bvfunc_1(A,B,D)) ) ) ) ) )).

fof(t9_bvfunc_9,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,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,k6_valuat_1(A,B,D),C)) ) ) ) ) )).

fof(t10_bvfunc_9,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,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,k6_valuat_1(A,B,D),k6_valuat_1(A,C,D))) ) ) ) ) )).

fof(t11_bvfunc_9,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,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,B,k8_bvfunc_1(A,C,D))) ) ) ) ) )).

fof(t12_bvfunc_9,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,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,k8_bvfunc_1(A,B,D),k8_bvfunc_1(A,C,D))) ) ) ) ) )).

fof(t13_bvfunc_9,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,k8_bvfunc_1(A,k6_valuat_1(A,B,C),D),k8_bvfunc_1(A,B,D)) ) ) ) ) )).

fof(t14_bvfunc_9,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,k8_bvfunc_1(A,k6_valuat_1(A,B,C),k6_valuat_1(A,D,E)),k8_bvfunc_1(A,B,D)) ) ) ) ) ) )).

fof(t15_bvfunc_9,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,k8_bvfunc_1(A,B,C),k14_bvfunc_1(A,C,D)),k8_bvfunc_1(A,B,D)) ) ) ) ) )).

fof(t16_bvfunc_9,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,k5_valuat_1(A,B),D)),k8_bvfunc_1(A,C,D)) ) ) ) ) )).

fof(t17_bvfunc_9,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,D,k5_valuat_1(A,C))),k8_bvfunc_1(A,k5_valuat_1(A,B),k5_valuat_1(A,D))) ) ) ) ) )).

fof(t18_bvfunc_9,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,k8_bvfunc_1(A,B,C),k8_bvfunc_1(A,k5_valuat_1(A,B),D)),k8_bvfunc_1(A,C,D)) ) ) ) ) )).

fof(t19_bvfunc_9,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,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,D,E)),k14_bvfunc_1(A,k6_valuat_1(A,B,D),k6_valuat_1(A,C,E))) ) ) ) ) ) )).

fof(t20_bvfunc_9,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,B,D)),k14_bvfunc_1(A,B,k6_valuat_1(A,C,D))) ) ) ) ) )).

fof(t21_bvfunc_9,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,D,C)),k14_bvfunc_1(A,k8_bvfunc_1(A,B,D),C)) ) ) ) ) )).

fof(t22_bvfunc_9,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,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,D,E)),k14_bvfunc_1(A,k8_bvfunc_1(A,B,D),k8_bvfunc_1(A,C,E))) ) ) ) ) ) )).

fof(t23_bvfunc_9,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,B,D)),k14_bvfunc_1(A,B,k8_bvfunc_1(A,C,D))) ) ) ) ) )).

fof(t24_bvfunc_9,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,k6_valuat_1(A,k14_bvfunc_1(A,C,F),k14_bvfunc_1(A,D,G)),k8_bvfunc_1(A,k8_bvfunc_1(A,B,C),D)),k5_valuat_1(A,k6_valuat_1(A,E,F))),k5_valuat_1(A,k6_valuat_1(A,E,G))),k14_bvfunc_1(A,E,B)) ) ) ) ) ) ) ) )).

fof(t25_bvfunc_9,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,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,E),k14_bvfunc_1(A,C,F)),k14_bvfunc_1(A,D,G)),k8_bvfunc_1(A,k8_bvfunc_1(A,B,C),D)),k5_valuat_1(A,k6_valuat_1(A,E,F))),k5_valuat_1(A,k6_valuat_1(A,E,G))),k5_valuat_1(A,k6_valuat_1(A,F,G))),k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,E,B),k14_bvfunc_1(A,F,C)),k14_bvfunc_1(A,G,D))) ) ) ) ) ) ) ) )).

fof(t26_bvfunc_9,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))
                     => k14_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,D),k14_bvfunc_1(A,C,E)),k5_valuat_1(A,k6_valuat_1(A,D,E))),k5_valuat_1(A,k6_valuat_1(A,B,C))) = k19_bvfunc_1(A) ) ) ) ) ) )).

fof(t27_bvfunc_9,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,k6_valuat_1(A,k6_valuat_1(A,k14_bvfunc_1(A,B,E),k14_bvfunc_1(A,C,F)),k14_bvfunc_1(A,D,G)),k5_valuat_1(A,k6_valuat_1(A,E,F))),k5_valuat_1(A,k6_valuat_1(A,E,G))),k5_valuat_1(A,k6_valuat_1(A,F,G))),k6_valuat_1(A,k6_valuat_1(A,k5_valuat_1(A,k6_valuat_1(A,B,C)),k5_valuat_1(A,k6_valuat_1(A,B,D))),k5_valuat_1(A,k6_valuat_1(A,C,D)))) ) ) ) ) ) ) ) )).

fof(t28_bvfunc_9,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))
             => r1_bvfunc_1(A,k6_valuat_1(A,B,C),B) ) ) ) )).

fof(t29_bvfunc_9,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,B,C),D),B)
                    & r1_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,B,C),D),C) ) ) ) ) ) )).

fof(t30_bvfunc_9,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,k6_valuat_1(A,B,C),D),E),B)
                        & r1_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,B,C),D),E),C) ) ) ) ) ) ) )).

fof(t31_bvfunc_9,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))
                         => ( r1_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,B,C),D),E),F),B)
                            & r1_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,B,C),D),E),F),C) ) ) ) ) ) ) ) )).

fof(t32_bvfunc_9,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,k6_valuat_1(A,k6_valuat_1(A,B,C),D),E),F),G),B)
                                & r1_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,B,C),D),E),F),G),C) ) ) ) ) ) ) ) ) )).

fof(t33_bvfunc_9,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))
                             => ! [H] :
                                  ( m2_fraenkel(H,A,k6_margrel1,k1_fraenkel(A,k6_margrel1))
                                 => ( r1_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,B,C),D),E),F),G),H),B)
                                    & r1_bvfunc_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,k6_valuat_1(A,B,C),D),E),F),G),H),C) ) ) ) ) ) ) ) ) ) )).

fof(t34_bvfunc_9,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,B,C)
                          & r1_bvfunc_1(A,D,E) )
                       => r1_bvfunc_1(A,k6_valuat_1(A,B,D),k6_valuat_1(A,C,E)) ) ) ) ) ) ) )).

fof(t35_bvfunc_9,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,B,C),D)
                   => r1_bvfunc_1(A,k6_valuat_1(A,B,k5_valuat_1(A,D)),k5_valuat_1(A,C)) ) ) ) ) ) )).

fof(t36_bvfunc_9,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,B,C),k14_bvfunc_1(A,D,C)),k8_bvfunc_1(A,B,D)),C) ) ) ) ) )).

fof(t37_bvfunc_9,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,k8_bvfunc_1(A,k14_bvfunc_1(A,B,C),k14_bvfunc_1(A,D,C)),k6_valuat_1(A,B,D)),C) ) ) ) ) )).

fof(t38_bvfunc_9,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,B,C)
                          & r1_bvfunc_1(A,D,E) )
                       => r1_bvfunc_1(A,k8_bvfunc_1(A,B,D),k8_bvfunc_1(A,C,E)) ) ) ) ) ) ) )).

fof(t39_bvfunc_9,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))
             => r1_bvfunc_1(A,B,k8_bvfunc_1(A,B,C)) ) ) ) )).

fof(t40_bvfunc_9,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))
             => r1_bvfunc_1(A,k6_valuat_1(A,B,C),k8_bvfunc_1(A,B,C)) ) ) ) )).
%------------------------------------------------------------------------------