SET007 Axioms: SET007+890.ax


%------------------------------------------------------------------------------
% File     : SET007+890 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : Walks in a Graph
% 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    : glib_001 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :  311 (   1 unit)
%            Number of atoms       : 2326 ( 242 equality)
%            Maximal formula depth :   22 (   9 average)
%            Number of connectives : 2205 ( 190 ~  ;  20  |;1007  &)
%                                         (  61 <=>; 927 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   48 (   1 propositional; 0-4 arity)
%            Number of functors    :   84 (   7 constant; 0-4 arity)
%            Number of variables   :  999 (   0 singleton; 970 !;  29 ?)
%            Maximal term depth    :    5 (   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(fc1_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => ( ~ v1_xboole_0(k1_card_1(B))
        & v1_card_1(k1_card_1(B))
        & ~ v1_abian(k1_card_1(B)) ) ) )).

fof(cc1_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v5_glib_001(B,A)
           => ( v1_relat_1(B)
              & v4_glib_001(B,A) ) ) ) ) )).

fof(cc2_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v3_glib_001(B,A)
           => ( v1_relat_1(B)
              & v5_glib_001(B,A) ) ) ) ) )).

fof(cc3_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v3_glib_001(B,A)
           => ( v1_relat_1(B)
              & v6_glib_001(B,A) ) ) ) ) )).

fof(cc4_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v6_glib_001(B,A)
           => ( v1_relat_1(B)
              & v5_glib_001(B,A) ) ) ) ) )).

fof(cc5_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v7_glib_001(B,A)
           => ( v1_relat_1(B)
              & v1_glib_001(B,A)
              & ~ v3_glib_001(B,A)
              & v4_glib_001(B,A) ) ) ) ) )).

fof(cc6_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v8_glib_001(B,A)
           => ( v1_relat_1(B)
              & v1_glib_001(B,A)
              & ~ v3_glib_001(B,A)
              & v5_glib_001(B,A) ) ) ) ) )).

fof(rc1_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ? [B] :
          ( m3_glib_001(B,A)
          & v1_relat_1(B)
          & v1_funct_1(B)
          & v1_finset_1(B)
          & v1_finseq_1(B)
          & v2_finseq_1(B)
          & v1_glib_001(B,A)
          & v2_glib_001(B,A)
          & v3_glib_001(B,A)
          & v4_glib_001(B,A)
          & v5_glib_001(B,A)
          & v6_glib_001(B,A) ) ) )).

fof(rc2_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ? [B] :
          ( m3_glib_001(B,A)
          & v1_relat_1(B)
          & v1_funct_1(B)
          & v1_finset_1(B)
          & v1_finseq_1(B)
          & v2_finseq_1(B)
          & v4_glib_001(B,A)
          & v5_glib_001(B,A)
          & v6_glib_001(B,A) ) ) )).

fof(fc2_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m1_subset_1(B,k6_glib_000(A)) )
     => ( v1_relat_1(k1_glib_001(A,B))
        & v1_funct_1(k1_glib_001(A,B))
        & v1_finset_1(k1_glib_001(A,B))
        & v1_finseq_1(k1_glib_001(A,B))
        & v2_finseq_1(k1_glib_001(A,B))
        & v1_glib_001(k1_glib_001(A,B),A)
        & v2_glib_001(k1_glib_001(A,B),A)
        & v3_glib_001(k1_glib_001(A,B),A)
        & v4_glib_001(k1_glib_001(A,B),A)
        & v5_glib_001(k1_glib_001(A,B),A)
        & v6_glib_001(k1_glib_001(A,B),A) ) ) )).

fof(fc3_glib_001,axiom,(
    ! [A,B,C,D] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ( v1_relat_1(k2_glib_001(A,B,D,C))
        & v1_funct_1(k2_glib_001(A,B,D,C))
        & v1_finset_1(k2_glib_001(A,B,D,C))
        & v1_finseq_1(k2_glib_001(A,B,D,C))
        & v2_finseq_1(k2_glib_001(A,B,D,C))
        & v4_glib_001(k2_glib_001(A,B,D,C),A)
        & v5_glib_001(k2_glib_001(A,B,D,C),A) ) ) )).

fof(fc4_glib_001,axiom,(
    ! [A,B,C] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ( v1_relat_1(k2_glib_001(A,B,B,C))
        & v1_funct_1(k2_glib_001(A,B,B,C))
        & v1_finset_1(k2_glib_001(A,B,B,C))
        & v1_finseq_1(k2_glib_001(A,B,B,C))
        & v2_finseq_1(k2_glib_001(A,B,B,C))
        & v1_glib_001(k2_glib_001(A,B,B,C),A)
        & v4_glib_001(k2_glib_001(A,B,B,C),A)
        & v5_glib_001(k2_glib_001(A,B,B,C),A) ) ) )).

fof(fc5_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v1_glib_001(B,A)
        & m3_glib_001(B,A) )
     => ( v1_relat_1(k6_glib_001(A,B))
        & v1_funct_1(k6_glib_001(A,B))
        & v1_finset_1(k6_glib_001(A,B))
        & v1_finseq_1(k6_glib_001(A,B))
        & v2_finseq_1(k6_glib_001(A,B))
        & v1_glib_001(k6_glib_001(A,B),A) ) ) )).

fof(fc6_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v3_glib_001(B,A)
        & m3_glib_001(B,A) )
     => ( v1_relat_1(k6_glib_001(A,B))
        & v1_funct_1(k6_glib_001(A,B))
        & v1_finset_1(k6_glib_001(A,B))
        & v1_finseq_1(k6_glib_001(A,B))
        & v2_finseq_1(k6_glib_001(A,B))
        & v3_glib_001(k6_glib_001(A,B),A)
        & v4_glib_001(k6_glib_001(A,B),A)
        & v5_glib_001(k6_glib_001(A,B),A)
        & v6_glib_001(k6_glib_001(A,B),A) ) ) )).

fof(fc7_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v4_glib_001(B,A)
        & m3_glib_001(B,A) )
     => ( v1_relat_1(k6_glib_001(A,B))
        & v1_funct_1(k6_glib_001(A,B))
        & v1_finset_1(k6_glib_001(A,B))
        & v1_finseq_1(k6_glib_001(A,B))
        & v2_finseq_1(k6_glib_001(A,B))
        & v4_glib_001(k6_glib_001(A,B),A) ) ) )).

fof(fc8_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v5_glib_001(B,A)
        & m3_glib_001(B,A) )
     => ( v1_relat_1(k6_glib_001(A,B))
        & v1_funct_1(k6_glib_001(A,B))
        & v1_finset_1(k6_glib_001(A,B))
        & v1_finseq_1(k6_glib_001(A,B))
        & v2_finseq_1(k6_glib_001(A,B))
        & v4_glib_001(k6_glib_001(A,B),A)
        & v5_glib_001(k6_glib_001(A,B),A) ) ) )).

fof(fc9_glib_001,axiom,(
    ! [A,B,C] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v1_glib_001(B,A)
        & m3_glib_001(B,A)
        & v1_glib_001(C,A)
        & m3_glib_001(C,A) )
     => ( v1_relat_1(k7_glib_001(A,B,C))
        & v1_funct_1(k7_glib_001(A,B,C))
        & v1_finset_1(k7_glib_001(A,B,C))
        & v1_finseq_1(k7_glib_001(A,B,C))
        & v2_finseq_1(k7_glib_001(A,B,C))
        & v1_glib_001(k7_glib_001(A,B,C),A) ) ) )).

fof(fc10_glib_001,axiom,(
    ! [A,B,C] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v2_glib_001(B,A)
        & m3_glib_001(B,A)
        & v2_glib_001(C,A)
        & m3_glib_001(C,A) )
     => ( v1_relat_1(k7_glib_001(A,B,C))
        & v1_funct_1(k7_glib_001(A,B,C))
        & v1_finset_1(k7_glib_001(A,B,C))
        & v1_finseq_1(k7_glib_001(A,B,C))
        & v2_finseq_1(k7_glib_001(A,B,C))
        & v2_glib_001(k7_glib_001(A,B,C),A) ) ) )).

fof(fc11_glib_001,axiom,(
    ! [A,B,C] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v3_glib_001(B,A)
        & m3_glib_001(B,A)
        & v3_glib_001(C,A)
        & m3_glib_001(C,A) )
     => ( v1_relat_1(k7_glib_001(A,B,C))
        & v1_funct_1(k7_glib_001(A,B,C))
        & v1_finset_1(k7_glib_001(A,B,C))
        & v1_finseq_1(k7_glib_001(A,B,C))
        & v2_finseq_1(k7_glib_001(A,B,C))
        & v3_glib_001(k7_glib_001(A,B,C),A)
        & v4_glib_001(k7_glib_001(A,B,C),A)
        & v5_glib_001(k7_glib_001(A,B,C),A)
        & v6_glib_001(k7_glib_001(A,B,C),A) ) ) )).

fof(fc12_glib_001,axiom,(
    ! [A,B,C,D] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v2_glib_001(B,A)
        & m3_glib_001(B,A)
        & m1_subset_1(C,k5_numbers)
        & m1_subset_1(D,k5_numbers) )
     => ( v1_relat_1(k8_glib_001(A,B,C,D))
        & v1_funct_1(k8_glib_001(A,B,C,D))
        & v1_finset_1(k8_glib_001(A,B,C,D))
        & v1_finseq_1(k8_glib_001(A,B,C,D))
        & v2_finseq_1(k8_glib_001(A,B,C,D))
        & v2_glib_001(k8_glib_001(A,B,C,D),A) ) ) )).

fof(fc13_glib_001,axiom,(
    ! [A,B,C,D] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v3_glib_001(B,A)
        & m3_glib_001(B,A)
        & m1_subset_1(C,k5_numbers)
        & m1_subset_1(D,k5_numbers) )
     => ( v1_relat_1(k8_glib_001(A,B,C,D))
        & v1_funct_1(k8_glib_001(A,B,C,D))
        & v1_finset_1(k8_glib_001(A,B,C,D))
        & v1_finseq_1(k8_glib_001(A,B,C,D))
        & v2_finseq_1(k8_glib_001(A,B,C,D))
        & v3_glib_001(k8_glib_001(A,B,C,D),A)
        & v4_glib_001(k8_glib_001(A,B,C,D),A)
        & v5_glib_001(k8_glib_001(A,B,C,D),A)
        & v6_glib_001(k8_glib_001(A,B,C,D),A) ) ) )).

fof(fc14_glib_001,axiom,(
    ! [A,B,C,D] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v4_glib_001(B,A)
        & m3_glib_001(B,A)
        & m1_subset_1(C,k5_numbers)
        & m1_subset_1(D,k5_numbers) )
     => ( v1_relat_1(k8_glib_001(A,B,C,D))
        & v1_funct_1(k8_glib_001(A,B,C,D))
        & v1_finset_1(k8_glib_001(A,B,C,D))
        & v1_finseq_1(k8_glib_001(A,B,C,D))
        & v2_finseq_1(k8_glib_001(A,B,C,D))
        & v4_glib_001(k8_glib_001(A,B,C,D),A) ) ) )).

fof(fc15_glib_001,axiom,(
    ! [A,B,C,D] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v5_glib_001(B,A)
        & m3_glib_001(B,A)
        & m1_subset_1(C,k5_numbers)
        & m1_subset_1(D,k5_numbers) )
     => ( v1_relat_1(k8_glib_001(A,B,C,D))
        & v1_funct_1(k8_glib_001(A,B,C,D))
        & v1_finset_1(k8_glib_001(A,B,C,D))
        & v1_finseq_1(k8_glib_001(A,B,C,D))
        & v2_finseq_1(k8_glib_001(A,B,C,D))
        & v4_glib_001(k8_glib_001(A,B,C,D),A)
        & v5_glib_001(k8_glib_001(A,B,C,D),A) ) ) )).

fof(fc16_glib_001,axiom,(
    ! [A,B,C,D] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v6_glib_001(B,A)
        & m3_glib_001(B,A)
        & m1_subset_1(C,k5_numbers)
        & m1_subset_1(D,k5_numbers) )
     => ( v1_relat_1(k8_glib_001(A,B,C,D))
        & v1_funct_1(k8_glib_001(A,B,C,D))
        & v1_finset_1(k8_glib_001(A,B,C,D))
        & v1_finseq_1(k8_glib_001(A,B,C,D))
        & v2_finseq_1(k8_glib_001(A,B,C,D))
        & v4_glib_001(k8_glib_001(A,B,C,D),A)
        & v5_glib_001(k8_glib_001(A,B,C,D),A)
        & v6_glib_001(k8_glib_001(A,B,C,D),A) ) ) )).

fof(fc17_glib_001,axiom,(
    ! [A,B,C,D] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v1_glib_001(B,A)
        & m3_glib_001(B,A)
        & m1_subset_1(C,k5_numbers)
        & m1_subset_1(D,k5_numbers) )
     => ( v1_relat_1(k9_glib_001(A,B,C,D))
        & v1_funct_1(k9_glib_001(A,B,C,D))
        & v1_finset_1(k9_glib_001(A,B,C,D))
        & v1_finseq_1(k9_glib_001(A,B,C,D))
        & v2_finseq_1(k9_glib_001(A,B,C,D))
        & v1_glib_001(k9_glib_001(A,B,C,D),A) ) ) )).

fof(fc18_glib_001,axiom,(
    ! [A,B,C,D] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v2_glib_001(B,A)
        & m3_glib_001(B,A)
        & m1_subset_1(C,k5_numbers)
        & m1_subset_1(D,k5_numbers) )
     => ( v1_relat_1(k9_glib_001(A,B,C,D))
        & v1_funct_1(k9_glib_001(A,B,C,D))
        & v1_finset_1(k9_glib_001(A,B,C,D))
        & v1_finseq_1(k9_glib_001(A,B,C,D))
        & v2_finseq_1(k9_glib_001(A,B,C,D))
        & v2_glib_001(k9_glib_001(A,B,C,D),A) ) ) )).

fof(fc19_glib_001,axiom,(
    ! [A,B,C,D] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v3_glib_001(B,A)
        & m3_glib_001(B,A)
        & m1_subset_1(C,k5_numbers)
        & m1_subset_1(D,k5_numbers) )
     => ( v1_relat_1(k9_glib_001(A,B,C,D))
        & v1_funct_1(k9_glib_001(A,B,C,D))
        & v1_finset_1(k9_glib_001(A,B,C,D))
        & v1_finseq_1(k9_glib_001(A,B,C,D))
        & v2_finseq_1(k9_glib_001(A,B,C,D))
        & v3_glib_001(k9_glib_001(A,B,C,D),A)
        & v4_glib_001(k9_glib_001(A,B,C,D),A)
        & v5_glib_001(k9_glib_001(A,B,C,D),A)
        & v6_glib_001(k9_glib_001(A,B,C,D),A) ) ) )).

fof(fc20_glib_001,axiom,(
    ! [A,B,C,D] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v4_glib_001(B,A)
        & m3_glib_001(B,A)
        & m1_subset_1(C,k5_numbers)
        & m1_subset_1(D,k5_numbers) )
     => ( v1_relat_1(k9_glib_001(A,B,C,D))
        & v1_funct_1(k9_glib_001(A,B,C,D))
        & v1_finset_1(k9_glib_001(A,B,C,D))
        & v1_finseq_1(k9_glib_001(A,B,C,D))
        & v2_finseq_1(k9_glib_001(A,B,C,D))
        & v4_glib_001(k9_glib_001(A,B,C,D),A) ) ) )).

fof(fc21_glib_001,axiom,(
    ! [A,B,C,D] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v5_glib_001(B,A)
        & m3_glib_001(B,A)
        & m1_subset_1(C,k5_numbers)
        & m1_subset_1(D,k5_numbers) )
     => ( v1_relat_1(k9_glib_001(A,B,C,D))
        & v1_funct_1(k9_glib_001(A,B,C,D))
        & v1_finset_1(k9_glib_001(A,B,C,D))
        & v1_finseq_1(k9_glib_001(A,B,C,D))
        & v2_finseq_1(k9_glib_001(A,B,C,D))
        & v4_glib_001(k9_glib_001(A,B,C,D),A)
        & v5_glib_001(k9_glib_001(A,B,C,D),A) ) ) )).

fof(rc3_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => ? [C] :
          ( m4_glib_001(C,A,B)
          & v1_relat_1(C)
          & v1_funct_1(C)
          & v1_finset_1(C)
          & v1_finseq_1(C)
          & v2_finseq_1(C)
          & v4_glib_001(C,A)
          & v5_glib_001(C,A) ) ) )).

fof(rc4_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & v2_glib_001(B,A)
        & m3_glib_001(B,A) )
     => ? [C] :
          ( m4_glib_001(C,A,B)
          & v1_relat_1(C)
          & v1_funct_1(C)
          & v1_finset_1(C)
          & v1_finseq_1(C)
          & v2_finseq_1(C)
          & v2_glib_001(C,A)
          & v4_glib_001(C,A)
          & v5_glib_001(C,A) ) ) )).

fof(fc22_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & v2_glib_000(A)
        & m1_glib_000(A) )
     => ( ~ v1_xboole_0(k22_glib_001(A))
        & v1_finset_1(k22_glib_001(A)) ) ) )).

fof(t1_glib_001,axiom,(
    ! [A] :
      ( ( ~ v1_abian(A)
        & m2_subset_1(A,k1_numbers,k5_numbers) )
     => ! [B] :
          ( ( ~ v1_abian(B)
            & m2_subset_1(B,k1_numbers,k5_numbers) )
         => ( ~ r1_xreal_0(B,A)
          <=> r1_xreal_0(k1_nat_1(A,np__2),B) ) ) ) )).

fof(t2_glib_001,axiom,(
    ! [A,B] :
      ( m2_subset_1(B,k1_numbers,k5_numbers)
     => ( r1_tarski(A,k2_finseq_1(B))
       => ! [C] :
            ( m2_subset_1(C,k1_numbers,k5_numbers)
           => ! [D] :
                ( m2_subset_1(D,k1_numbers,k5_numbers)
               => ( ( r2_hidden(C,k4_relset_1(k5_numbers,k5_numbers,k14_finseq_1(A)))
                    & D = k1_funct_1(k14_finseq_1(A),C) )
                 => r1_xreal_0(C,D) ) ) ) ) ) )).

fof(t3_glib_001,axiom,(
    ! [A,B] :
      ( m2_finseq_1(B,A)
     => ! [C] :
          ( m1_graph_2(C,A,B)
         => r1_xreal_0(k3_finseq_1(k15_finseq_1(C)),k3_finseq_1(B)) ) ) )).

fof(t4_glib_001,axiom,(
    ! [A,B] :
      ( m2_finseq_1(B,A)
     => ! [C] :
          ( m1_graph_2(C,A,B)
         => ! [D] :
              ( m2_subset_1(D,k1_numbers,k5_numbers)
             => ~ ( r2_hidden(D,k4_finseq_1(k15_finseq_1(C)))
                  & ! [E] :
                      ( m2_subset_1(E,k1_numbers,k5_numbers)
                     => ~ ( r2_hidden(E,k4_relset_1(k5_numbers,A,B))
                          & r1_xreal_0(D,E)
                          & k1_funct_1(k15_finseq_1(C),D) = k1_funct_1(B,E) ) ) ) ) ) ) )).

fof(t5_glib_001,axiom,(
    ! [A,B] :
      ( m2_finseq_1(B,A)
     => ! [C] :
          ( m1_graph_2(C,A,B)
         => k3_finseq_1(k15_finseq_1(C)) = k4_card_1(C) ) ) )).

fof(t6_glib_001,axiom,(
    ! [A,B] :
      ( m2_finseq_1(B,A)
     => ! [C] :
          ( m1_graph_2(C,A,B)
         => k4_finseq_1(k15_finseq_1(C)) = k4_relset_1(k5_numbers,k5_numbers,k14_finseq_1(k1_relat_1(C))) ) ) )).

fof(d1_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m2_finseq_1(B,k6_glib_000(A))
         => ( m1_glib_001(B,A)
          <=> ! [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
               => ~ ( r1_xreal_0(np__1,C)
                    & ~ r1_xreal_0(k3_finseq_1(B),C)
                    & ! [D] : ~ r1_glib_000(A,k1_funct_1(B,C),k1_funct_1(B,k1_nat_1(C,np__1)),D) ) ) ) ) ) )).

fof(d2_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m2_finseq_1(B,k7_glib_000(A))
         => ( m2_glib_001(B,A)
          <=> ? [C] :
                ( m2_finseq_1(C,k6_glib_000(A))
                & k3_finseq_1(C) = k1_nat_1(k3_finseq_1(B),np__1)
                & ! [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => ( ( r1_xreal_0(np__1,D)
                        & r1_xreal_0(D,k3_finseq_1(B)) )
                     => r1_glib_000(A,k1_funct_1(C,D),k1_funct_1(C,k1_nat_1(D,np__1)),k1_funct_1(B,D)) ) ) ) ) ) ) )).

fof(d3_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m2_finseq_1(B,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)))
         => ( m3_glib_001(B,A)
          <=> ( ~ v1_abian(k3_finseq_1(B))
              & r2_hidden(k1_funct_1(B,np__1),k6_glib_000(A))
              & ! [C] :
                  ( ( ~ v1_abian(C)
                    & m2_subset_1(C,k1_numbers,k5_numbers) )
                 => ( ~ r1_xreal_0(k3_finseq_1(B),C)
                   => r1_glib_000(A,k1_funct_1(B,C),k1_funct_1(B,k1_nat_1(C,np__2)),k1_funct_1(B,k1_nat_1(C,np__1))) ) ) ) ) ) ) )).

fof(d4_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m1_subset_1(B,k6_glib_000(A))
         => k1_glib_001(A,B) = k12_finseq_1(k6_glib_000(A),B) ) ) )).

fof(d5_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B,C,D] :
          ( ( r1_glib_000(A,B,C,D)
           => k2_glib_001(A,B,C,D) = k11_finseq_1(B,D,C) )
          & ( ~ r1_glib_000(A,B,C,D)
           => k2_glib_001(A,B,C,D) = k1_glib_001(A,k8_subset_1(k6_glib_000(A))) ) ) ) )).

fof(d6_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => k3_glib_001(A,B) = k1_funct_1(B,np__1) ) ) )).

fof(d7_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => k4_glib_001(A,B) = k1_funct_1(B,k3_finseq_1(B)) ) ) )).

fof(d8_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ( ( r1_xreal_0(C,k3_finseq_1(B))
                 => ( v1_abian(C)
                    | k5_glib_001(A,B,C) = k1_funct_1(B,C) ) )
                & ( ~ ( ~ v1_abian(C)
                      & r1_xreal_0(C,k3_finseq_1(B)) )
                 => k5_glib_001(A,B,C) = k3_glib_001(A,B) ) ) ) ) ) )).

fof(d9_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => k6_glib_001(A,B) = k4_finseq_5(k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B) ) ) )).

fof(d10_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ( ( k4_glib_001(A,B) = k3_glib_001(A,C)
                 => k7_glib_001(A,B,C) = k4_graph_2(k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B,C) )
                & ( k4_glib_001(A,B) != k3_glib_001(A,C)
                 => k7_glib_001(A,B,C) = B ) ) ) ) ) )).

fof(d11_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ( ( ( r1_xreal_0(C,D)
                        & r1_xreal_0(D,k3_finseq_1(B)) )
                     => ( v1_abian(C)
                        | v1_abian(D)
                        | k8_glib_001(A,B,C,D) = k2_graph_2(k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B,C,D) ) )
                    & ( ~ ( ~ v1_abian(C)
                          & ~ v1_abian(D)
                          & r1_xreal_0(C,D)
                          & r1_xreal_0(D,k3_finseq_1(B)) )
                     => k8_glib_001(A,B,C,D) = B ) ) ) ) ) ) )).

fof(d12_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ( ( ( r1_xreal_0(C,D)
                        & r1_xreal_0(D,k3_finseq_1(B))
                        & k1_funct_1(B,C) = k1_funct_1(B,D) )
                     => ( v1_abian(C)
                        | v1_abian(D)
                        | k9_glib_001(A,B,C,D) = k7_glib_001(A,k8_glib_001(A,B,np__1,C),k8_glib_001(A,B,D,k3_finseq_1(B))) ) )
                    & ( ~ ( ~ v1_abian(C)
                          & ~ v1_abian(D)
                          & r1_xreal_0(C,D)
                          & r1_xreal_0(D,k3_finseq_1(B))
                          & k1_funct_1(B,C) = k1_funct_1(B,D) )
                     => k9_glib_001(A,B,C,D) = B ) ) ) ) ) ) )).

fof(d13_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] : k10_glib_001(A,B,C) = k7_glib_001(A,B,k2_glib_001(A,k4_glib_001(A,B),k30_glib_000(A,k4_glib_001(A,B),C),C)) ) ) )).

fof(d14_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m1_glib_001(C,A)
             => ( C = k11_glib_001(A,B)
              <=> ( k1_nat_1(k3_finseq_1(B),np__1) = k2_nat_1(np__2,k3_finseq_1(C))
                  & ! [D] :
                      ( m2_subset_1(D,k1_numbers,k5_numbers)
                     => ( ( r1_xreal_0(np__1,D)
                          & r1_xreal_0(D,k3_finseq_1(C)) )
                       => k1_funct_1(C,D) = k1_funct_1(B,k6_xcmplx_0(k2_nat_1(np__2,D),np__1)) ) ) ) ) ) ) ) )).

fof(d15_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m2_glib_001(C,A)
             => ( C = k12_glib_001(A,B)
              <=> ( k3_finseq_1(B) = k1_nat_1(k2_nat_1(np__2,k3_finseq_1(C)),np__1)
                  & ! [D] :
                      ( m2_subset_1(D,k1_numbers,k5_numbers)
                     => ( ( r1_xreal_0(np__1,D)
                          & r1_xreal_0(D,k3_finseq_1(C)) )
                       => k1_funct_1(C,D) = k1_funct_1(B,k2_nat_1(np__2,D)) ) ) ) ) ) ) ) )).

fof(d16_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => k13_glib_001(A,B) = k5_relset_1(k5_numbers,k6_glib_000(A),k11_glib_001(A,B)) ) ) )).

fof(d17_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => k14_glib_001(A,B) = k5_relset_1(k5_numbers,k7_glib_000(A),k12_glib_001(A,B)) ) ) )).

fof(d18_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => k15_glib_001(A,B) = k3_finseq_1(k12_glib_001(A,B)) ) ) )).

fof(d19_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C,D] :
              ( ( ~ v1_abian(D)
                & m2_subset_1(D,k1_numbers,k5_numbers) )
             => ( ( r2_hidden(C,k13_glib_001(A,B))
                 => ( D = k16_glib_001(A,B,C)
                  <=> ( r1_xreal_0(D,k3_finseq_1(B))
                      & k1_funct_1(B,D) = C
                      & ! [E] :
                          ( ( ~ v1_abian(E)
                            & m2_subset_1(E,k1_numbers,k5_numbers) )
                         => ( ( r1_xreal_0(E,k3_finseq_1(B))
                              & k1_funct_1(B,E) = C )
                           => r1_xreal_0(D,E) ) ) ) ) )
                & ( ~ r2_hidden(C,k13_glib_001(A,B))
                 => ( D = k16_glib_001(A,B,C)
                  <=> D = k3_finseq_1(B) ) ) ) ) ) ) )).

fof(d20_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( ( ~ v1_abian(D)
                    & m2_subset_1(D,k1_numbers,k5_numbers) )
                 => ( ( r1_xreal_0(C,k3_finseq_1(B))
                     => ( v1_abian(C)
                        | ( D = k17_glib_001(A,B,C)
                        <=> ( r1_xreal_0(D,k3_finseq_1(B))
                            & k1_funct_1(B,D) = k1_funct_1(B,C)
                            & ! [E] :
                                ( ( ~ v1_abian(E)
                                  & m2_subset_1(E,k1_numbers,k5_numbers) )
                               => ( ( r1_xreal_0(E,k3_finseq_1(B))
                                    & k1_funct_1(B,E) = k1_funct_1(B,C) )
                                 => r1_xreal_0(D,E) ) ) ) ) ) )
                    & ( ~ ( ~ v1_abian(C)
                          & r1_xreal_0(C,k3_finseq_1(B)) )
                     => ( D = k17_glib_001(A,B,C)
                      <=> D = k3_finseq_1(B) ) ) ) ) ) ) ) )).

fof(d21_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C,D] :
              ( ( ~ v1_abian(D)
                & m2_subset_1(D,k1_numbers,k5_numbers) )
             => ( ( r2_hidden(C,k13_glib_001(A,B))
                 => ( D = k18_glib_001(A,B,C)
                  <=> ( r1_xreal_0(D,k3_finseq_1(B))
                      & k1_funct_1(B,D) = C
                      & ! [E] :
                          ( ( ~ v1_abian(E)
                            & m2_subset_1(E,k1_numbers,k5_numbers) )
                         => ( ( r1_xreal_0(E,k3_finseq_1(B))
                              & k1_funct_1(B,E) = C )
                           => r1_xreal_0(E,D) ) ) ) ) )
                & ( ~ r2_hidden(C,k13_glib_001(A,B))
                 => ( D = k18_glib_001(A,B,C)
                  <=> D = k3_finseq_1(B) ) ) ) ) ) ) )).

fof(d22_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( ( ~ v1_abian(D)
                    & m2_subset_1(D,k1_numbers,k5_numbers) )
                 => ( ( r1_xreal_0(C,k3_finseq_1(B))
                     => ( v1_abian(C)
                        | ( D = k19_glib_001(A,B,C)
                        <=> ( r1_xreal_0(D,k3_finseq_1(B))
                            & k1_funct_1(B,D) = k1_funct_1(B,C)
                            & ! [E] :
                                ( ( ~ v1_abian(E)
                                  & m2_subset_1(E,k1_numbers,k5_numbers) )
                               => ( ( r1_xreal_0(E,k3_finseq_1(B))
                                    & k1_funct_1(B,E) = k1_funct_1(B,C) )
                                 => r1_xreal_0(E,D) ) ) ) ) ) )
                    & ( ~ ( ~ v1_abian(C)
                          & r1_xreal_0(C,k3_finseq_1(B)) )
                     => ( D = k19_glib_001(A,B,C)
                      <=> D = k3_finseq_1(B) ) ) ) ) ) ) ) )).

fof(d23_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B,C,D] :
          ( m3_glib_001(D,A)
         => ( r1_glib_001(A,B,C,D)
          <=> ( k3_glib_001(A,D) = B
              & k4_glib_001(A,D) = C ) ) ) ) )).

fof(d24_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v1_glib_001(B,A)
          <=> k3_glib_001(A,B) = k4_glib_001(A,B) ) ) ) )).

fof(d25_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v2_glib_001(B,A)
          <=> ! [C] :
                ( ( ~ v1_abian(C)
                  & m2_subset_1(C,k1_numbers,k5_numbers) )
               => ( ~ r1_xreal_0(k3_finseq_1(B),C)
                 => k1_funct_1(k10_glib_000(A),k1_funct_1(B,k1_nat_1(C,np__1))) = k1_funct_1(B,C) ) ) ) ) ) )).

fof(d26_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v3_glib_001(B,A)
          <=> k15_glib_001(A,B) = np__0 ) ) ) )).

fof(d27_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v4_glib_001(B,A)
          <=> v2_funct_1(k12_glib_001(A,B)) ) ) ) )).

fof(d28_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v5_glib_001(B,A)
          <=> ( v4_glib_001(B,A)
              & ! [C] :
                  ( ( ~ v1_abian(C)
                    & m2_subset_1(C,k1_numbers,k5_numbers) )
                 => ! [D] :
                      ( ( ~ v1_abian(D)
                        & m2_subset_1(D,k1_numbers,k5_numbers) )
                     => ( ( r1_xreal_0(D,k3_finseq_1(B))
                          & k1_funct_1(B,C) = k1_funct_1(B,D) )
                       => ( r1_xreal_0(D,C)
                          | ( C = np__1
                            & D = k3_finseq_1(B) ) ) ) ) ) ) ) ) ) )).

fof(d29_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v6_glib_001(B,A)
          <=> ! [C] :
                ( ( ~ v1_abian(C)
                  & m2_subset_1(C,k1_numbers,k5_numbers) )
               => ! [D] :
                    ( ( ~ v1_abian(D)
                      & m2_subset_1(D,k1_numbers,k5_numbers) )
                   => ( ( r1_xreal_0(C,k3_finseq_1(B))
                        & r1_xreal_0(D,k3_finseq_1(B))
                        & k1_funct_1(B,C) = k1_funct_1(B,D) )
                     => C = D ) ) ) ) ) ) )).

fof(d30_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v7_glib_001(B,A)
          <=> ( v1_glib_001(B,A)
              & v4_glib_001(B,A)
              & ~ v3_glib_001(B,A) ) ) ) ) )).

fof(d31_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v8_glib_001(B,A)
          <=> ( v1_glib_001(B,A)
              & v5_glib_001(B,A)
              & ~ v3_glib_001(B,A) ) ) ) ) )).

fof(d32_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ( m4_glib_001(C,A,B)
              <=> ( r1_glib_001(A,k3_glib_001(A,B),k4_glib_001(A,B),C)
                  & ? [D] :
                      ( m1_graph_2(D,k7_glib_000(A),k12_glib_001(A,B))
                      & k12_glib_001(A,C) = k15_finseq_1(D) ) ) ) ) ) ) )).

fof(t7_glib_001,axiom,(
    $true )).

fof(t8_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ( r1_xreal_0(C,k3_finseq_1(B))
               => r2_hidden(k1_funct_1(B,C),k6_glib_000(A)) ) ) ) ) )).

fof(t9_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ( r2_hidden(C,k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B))
               => r2_hidden(k1_funct_1(B,C),k7_glib_000(A)) ) ) ) ) )).

fof(t10_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ~ ( r2_hidden(C,k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B))
                  & ! [D] :
                      ( ( ~ v1_abian(D)
                        & m2_subset_1(D,k1_numbers,k5_numbers) )
                     => ~ ( D = k6_xcmplx_0(C,np__1)
                          & r2_hidden(k6_xcmplx_0(C,np__1),k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B))
                          & r2_hidden(k1_nat_1(C,np__1),k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B))
                          & r1_glib_000(A,k1_funct_1(B,D),k1_funct_1(B,k1_nat_1(C,np__1)),k1_funct_1(B,C)) ) ) ) ) ) ) )).

fof(t11_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ( ~ r1_xreal_0(k3_finseq_1(B),C)
               => r2_hidden(k1_funct_1(B,k1_nat_1(C,np__1)),k29_glib_000(A,k5_glib_001(A,B,C))) ) ) ) ) )).

fof(t12_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ( r1_xreal_0(C,k3_finseq_1(B))
               => ( r1_xreal_0(C,np__1)
                  | r2_hidden(k1_funct_1(B,k6_xcmplx_0(C,np__1)),k29_glib_000(A,k5_glib_001(A,B,C))) ) ) ) ) ) )).

fof(t13_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ( ~ r1_xreal_0(k3_finseq_1(B),C)
               => ( r2_hidden(C,k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B))
                  & r2_hidden(k1_nat_1(C,np__1),k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B))
                  & r2_hidden(k1_nat_1(C,np__2),k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B)) ) ) ) ) ) )).

fof(t14_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m1_subset_1(B,k6_glib_000(A))
         => ( k3_finseq_1(k1_glib_001(A,B)) = np__1
            & k1_funct_1(k1_glib_001(A,B),np__1) = B
            & k3_glib_001(A,k1_glib_001(A,B)) = B
            & k4_glib_001(A,k1_glib_001(A,B)) = B
            & r1_glib_001(A,B,B,k1_glib_001(A,B)) ) ) ) )).

fof(t15_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B,C,D] :
          ( r1_glib_000(A,C,D,B)
         => k3_finseq_1(k2_glib_001(A,C,D,B)) = np__3 ) ) )).

fof(t16_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B,C,D] :
          ( r1_glib_000(A,C,D,B)
         => ( k3_glib_001(A,k2_glib_001(A,C,D,B)) = C
            & k4_glib_001(A,k2_glib_001(A,C,D,B)) = D
            & r1_glib_001(A,C,D,k2_glib_001(A,C,D,B)) ) ) ) )).

fof(t17_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v1_glib_000(B)
            & m1_glib_000(B) )
         => ! [C] :
              ( m3_glib_001(C,A)
             => ! [D] :
                  ( m3_glib_001(D,B)
                 => ( C = D
                   => ( k3_glib_001(A,C) = k3_glib_001(B,D)
                      & k4_glib_001(A,C) = k4_glib_001(B,D) ) ) ) ) ) ) )).

fof(t18_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C,D] :
              ( r1_glib_001(A,C,D,B)
            <=> ( k1_funct_1(B,np__1) = C
                & k1_funct_1(B,k3_finseq_1(B)) = D ) ) ) ) )).

fof(t19_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C,D] :
              ( r1_glib_001(A,C,D,B)
             => ( m1_subset_1(C,k6_glib_000(A))
                & m1_subset_1(D,k6_glib_000(A)) ) ) ) ) )).

fof(t20_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v1_glib_000(B)
            & m1_glib_000(B) )
         => ! [C,D,E] :
              ( m3_glib_001(E,A)
             => ! [F] :
                  ( m3_glib_001(F,B)
                 => ( E = F
                   => ( r1_glib_001(A,C,D,E)
                    <=> r1_glib_001(B,C,D,F) ) ) ) ) ) ) )).

fof(t21_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v1_glib_000(B)
            & m1_glib_000(B) )
         => ! [C] :
              ( m3_glib_001(C,A)
             => ! [D] :
                  ( m3_glib_001(D,B)
                 => ( C = D
                   => ! [E] :
                        ( m2_subset_1(E,k1_numbers,k5_numbers)
                       => k5_glib_001(A,C,E) = k5_glib_001(B,D,E) ) ) ) ) ) ) )).

fof(t22_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( k3_finseq_1(B) = k3_finseq_1(k6_glib_001(A,B))
            & k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B) = k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),k6_glib_001(A,B))
            & k5_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B) = k5_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),k6_glib_001(A,B)) ) ) ) )).

fof(t23_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( k3_glib_001(A,B) = k4_glib_001(A,k6_glib_001(A,B))
            & k4_glib_001(A,B) = k3_glib_001(A,k6_glib_001(A,B)) ) ) ) )).

fof(t24_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C,D] :
              ( r1_glib_001(A,C,D,B)
            <=> r1_glib_001(A,D,C,k6_glib_001(A,B)) ) ) ) )).

fof(t25_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ( r2_hidden(C,k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B))
               => ( k1_funct_1(B,C) = k1_funct_1(k6_glib_001(A,B),k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B),C),np__1))
                  & r2_hidden(k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B),C),np__1),k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),k6_glib_001(A,B))) ) ) ) ) ) )).

fof(t26_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ( r2_hidden(C,k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),k6_glib_001(A,B)))
               => ( k1_funct_1(k6_glib_001(A,B),C) = k1_funct_1(B,k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B),C),np__1))
                  & r2_hidden(k2_xcmplx_0(k6_xcmplx_0(k3_finseq_1(B),C),np__1),k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B)) ) ) ) ) ) )).

fof(t27_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => k6_glib_001(A,k6_glib_001(A,B)) = B ) ) )).

fof(t28_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v1_glib_000(B)
            & m1_glib_000(B) )
         => ! [C] :
              ( m3_glib_001(C,A)
             => ! [D] :
                  ( m3_glib_001(D,B)
                 => ( C = D
                   => k6_glib_001(A,C) = k6_glib_001(B,D) ) ) ) ) ) )).

fof(t29_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ( k4_glib_001(A,B) = k3_glib_001(A,C)
               => k1_nat_1(k3_finseq_1(k7_glib_001(A,B,C)),np__1) = k1_nat_1(k3_finseq_1(B),k3_finseq_1(C)) ) ) ) ) )).

fof(t30_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ( k4_glib_001(A,B) = k3_glib_001(A,C)
               => ( r1_xreal_0(k3_finseq_1(B),k3_finseq_1(k7_glib_001(A,B,C)))
                  & r1_xreal_0(k3_finseq_1(C),k3_finseq_1(k7_glib_001(A,B,C))) ) ) ) ) ) )).

fof(t31_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ( k4_glib_001(A,B) = k3_glib_001(A,C)
               => ( k3_glib_001(A,k7_glib_001(A,B,C)) = k3_glib_001(A,B)
                  & k4_glib_001(A,k7_glib_001(A,B,C)) = k4_glib_001(A,C)
                  & r1_glib_001(A,k3_glib_001(A,B),k4_glib_001(A,C),k7_glib_001(A,B,C)) ) ) ) ) ) )).

fof(t32_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ! [D,E,F] :
                  ( ( r1_glib_001(A,D,E,B)
                    & r1_glib_001(A,E,F,C) )
                 => r1_glib_001(A,D,F,k7_glib_001(A,B,C)) ) ) ) ) )).

fof(t33_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ( r2_hidden(D,k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B))
                   => ( k1_funct_1(k7_glib_001(A,B,C),D) = k1_funct_1(B,D)
                      & r2_hidden(D,k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),k7_glib_001(A,B,C))) ) ) ) ) ) ) )).

fof(t34_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ( k4_glib_001(A,B) = k3_glib_001(A,C)
               => ! [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => ( ~ r1_xreal_0(k3_finseq_1(C),D)
                     => ( k1_funct_1(k7_glib_001(A,B,C),k1_nat_1(k3_finseq_1(B),D)) = k1_funct_1(C,k1_nat_1(D,np__1))
                        & r2_hidden(k1_nat_1(k3_finseq_1(B),D),k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),k7_glib_001(A,B,C))) ) ) ) ) ) ) ) )).

fof(t35_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ~ ( r2_hidden(D,k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),k7_glib_001(A,B,C)))
                      & ~ r2_hidden(D,k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B))
                      & ! [E] :
                          ( m2_subset_1(E,k1_numbers,k5_numbers)
                         => ~ ( ~ r1_xreal_0(k3_finseq_1(C),E)
                              & D = k1_nat_1(k3_finseq_1(B),E) ) ) ) ) ) ) ) )).

fof(t36_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v1_glib_000(B)
            & m1_glib_000(B) )
         => ! [C] :
              ( m3_glib_001(C,A)
             => ! [D] :
                  ( m3_glib_001(D,A)
                 => ! [E] :
                      ( m3_glib_001(E,B)
                     => ! [F] :
                          ( m3_glib_001(F,B)
                         => ( ( C = E
                              & D = F )
                           => k7_glib_001(A,C,D) = k7_glib_001(B,E,F) ) ) ) ) ) ) ) )).

fof(t37_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ! [D] :
                  ( ( ~ v1_abian(D)
                    & m2_subset_1(D,k1_numbers,k5_numbers) )
                 => ( ( r1_xreal_0(C,D)
                      & r1_xreal_0(D,k3_finseq_1(B)) )
                   => ( k1_nat_1(k3_finseq_1(k8_glib_001(A,B,C,D)),C) = k1_nat_1(D,np__1)
                      & ! [E] :
                          ( m2_subset_1(E,k1_numbers,k5_numbers)
                         => ( ~ r1_xreal_0(k3_finseq_1(k8_glib_001(A,B,C,D)),E)
                           => ( k1_funct_1(k8_glib_001(A,B,C,D),k1_nat_1(E,np__1)) = k1_funct_1(B,k1_nat_1(C,E))
                              & r2_hidden(k1_nat_1(C,E),k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B)) ) ) ) ) ) ) ) ) ) )).

fof(t38_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ! [D] :
                  ( ( ~ v1_abian(D)
                    & m2_subset_1(D,k1_numbers,k5_numbers) )
                 => ( ( r1_xreal_0(C,D)
                      & r1_xreal_0(D,k3_finseq_1(B)) )
                   => ( k3_glib_001(A,k8_glib_001(A,B,C,D)) = k1_funct_1(B,C)
                      & k4_glib_001(A,k8_glib_001(A,B,C,D)) = k1_funct_1(B,D)
                      & r1_glib_001(A,k1_funct_1(B,C),k1_funct_1(B,D),k8_glib_001(A,B,C,D)) ) ) ) ) ) ) )).

fof(t39_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ! [D] :
                  ( ( ~ v1_abian(D)
                    & m2_subset_1(D,k1_numbers,k5_numbers) )
                 => ! [E] :
                      ( ( ~ v1_abian(E)
                        & m2_subset_1(E,k1_numbers,k5_numbers) )
                     => ( ( r1_xreal_0(C,D)
                          & r1_xreal_0(D,E)
                          & r1_xreal_0(E,k3_finseq_1(B)) )
                       => k7_glib_001(A,k8_glib_001(A,B,C,D),k8_glib_001(A,B,D,E)) = k8_glib_001(A,B,C,E) ) ) ) ) ) ) )).

fof(t40_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => k8_glib_001(A,B,np__1,k3_finseq_1(B)) = B ) ) )).

fof(t41_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ( ~ r1_xreal_0(k3_finseq_1(B),C)
               => k2_glib_001(A,k1_funct_1(B,C),k1_funct_1(B,k1_nat_1(C,np__2)),k1_funct_1(B,k1_nat_1(C,np__1))) = k8_glib_001(A,B,C,k1_nat_1(C,np__2)) ) ) ) ) )).

fof(t42_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ! [D] :
                  ( ( ~ v1_abian(D)
                    & m2_subset_1(D,k1_numbers,k5_numbers) )
                 => ( r1_xreal_0(C,D)
                   => ( r1_xreal_0(k3_finseq_1(B),D)
                      | k10_glib_001(A,k8_glib_001(A,B,C,D),k1_funct_1(B,k1_nat_1(D,np__1))) = k8_glib_001(A,B,C,k1_nat_1(D,np__2)) ) ) ) ) ) ) )).

fof(t43_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ( r1_xreal_0(C,k3_finseq_1(B))
               => k8_glib_001(A,B,C,C) = k12_finseq_1(k6_glib_000(A),k5_glib_001(A,B,C)) ) ) ) ) )).

fof(t44_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ( r1_xreal_0(C,D)
                   => ( v1_abian(C)
                      | k8_glib_001(A,k8_glib_001(A,B,np__1,D),np__1,C) = k8_glib_001(A,B,np__1,C) ) ) ) ) ) ) )).

fof(t45_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ! [D] :
                  ( ( ~ v1_abian(D)
                    & m2_subset_1(D,k1_numbers,k5_numbers) )
                 => ! [E] :
                      ( ( ~ v1_abian(E)
                        & m2_subset_1(E,k1_numbers,k5_numbers) )
                     => ( ( r1_xreal_0(D,E)
                          & r1_xreal_0(E,k3_finseq_1(B))
                          & k4_glib_001(A,B) = k3_glib_001(A,C) )
                       => k8_glib_001(A,k7_glib_001(A,B,C),D,E) = k8_glib_001(A,B,D,E) ) ) ) ) ) ) )).

fof(t46_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ( r1_xreal_0(C,k3_finseq_1(B))
               => k3_finseq_1(k8_glib_001(A,B,np__1,C)) = C ) ) ) ) )).

fof(t47_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ( ( r2_hidden(D,k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),k8_glib_001(A,B,np__1,C)))
                      & r1_xreal_0(C,k3_finseq_1(B)) )
                   => k1_funct_1(k8_glib_001(A,B,np__1,C),D) = k1_funct_1(B,D) ) ) ) ) ) )).

fof(t48_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ! [D] :
                  ( ( ~ v1_abian(D)
                    & m2_subset_1(D,k1_numbers,k5_numbers) )
                 => ! [E] :
                      ( m2_subset_1(E,k1_numbers,k5_numbers)
                     => ( ( r1_xreal_0(C,D)
                          & r1_xreal_0(D,k3_finseq_1(B))
                          & r2_hidden(E,k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),k8_glib_001(A,B,C,D))) )
                       => ( k1_funct_1(k8_glib_001(A,B,C,D),E) = k1_funct_1(B,k6_xcmplx_0(k1_nat_1(C,E),np__1))
                          & r2_hidden(k6_xcmplx_0(k1_nat_1(C,E),np__1),k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B)) ) ) ) ) ) ) ) )).

fof(t49_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v1_glib_000(B)
            & m1_glib_000(B) )
         => ! [C] :
              ( m3_glib_001(C,A)
             => ! [D] :
                  ( m3_glib_001(D,B)
                 => ! [E] :
                      ( m2_subset_1(E,k1_numbers,k5_numbers)
                     => ! [F] :
                          ( m2_subset_1(F,k1_numbers,k5_numbers)
                         => ( C = D
                           => k8_glib_001(A,C,E,F) = k8_glib_001(B,D,E,F) ) ) ) ) ) ) ) )).

fof(t50_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ! [D] :
                  ( ( ~ v1_abian(D)
                    & m2_subset_1(D,k1_numbers,k5_numbers) )
                 => ( ( r1_xreal_0(C,D)
                      & r1_xreal_0(D,k3_finseq_1(B))
                      & k1_funct_1(B,C) = k1_funct_1(B,D) )
                   => k1_nat_1(k3_finseq_1(k20_glib_001(A,B,C,D)),D) = k1_nat_1(k3_finseq_1(B),C) ) ) ) ) ) )).

fof(t51_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C,D,E] :
              ( m2_subset_1(E,k1_numbers,k5_numbers)
             => ! [F] :
                  ( m2_subset_1(F,k1_numbers,k5_numbers)
                 => ( r1_glib_001(A,C,D,B)
                   => r1_glib_001(A,C,D,k20_glib_001(A,B,E,F)) ) ) ) ) ) )).

fof(t52_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => r1_xreal_0(k3_finseq_1(k20_glib_001(A,B,C,D)),k3_finseq_1(B)) ) ) ) ) )).

fof(t53_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => k20_glib_001(A,B,C,C) = B ) ) ) )).

fof(t54_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ! [D] :
                  ( ( ~ v1_abian(D)
                    & m2_subset_1(D,k1_numbers,k5_numbers) )
                 => ( ( r1_xreal_0(C,D)
                      & r1_xreal_0(D,k3_finseq_1(B))
                      & k1_funct_1(B,C) = k1_funct_1(B,D) )
                   => k4_glib_001(A,k8_glib_001(A,B,np__1,C)) = k3_glib_001(A,k8_glib_001(A,B,D,k3_finseq_1(B))) ) ) ) ) ) )).

fof(t55_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ! [D] :
                  ( ( ~ v1_abian(D)
                    & m2_subset_1(D,k1_numbers,k5_numbers) )
                 => ( ( r1_xreal_0(C,D)
                      & r1_xreal_0(D,k3_finseq_1(B))
                      & k1_funct_1(B,C) = k1_funct_1(B,D) )
                   => ! [E] :
                        ( m2_subset_1(E,k1_numbers,k5_numbers)
                       => ( r2_hidden(E,k2_finseq_1(C))
                         => k1_funct_1(k20_glib_001(A,B,C,D),E) = k1_funct_1(B,E) ) ) ) ) ) ) ) )).

fof(t56_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ! [D] :
                  ( ( ~ v1_abian(D)
                    & m2_subset_1(D,k1_numbers,k5_numbers) )
                 => ( ( r1_xreal_0(C,D)
                      & r1_xreal_0(D,k3_finseq_1(B))
                      & k1_funct_1(B,C) = k1_funct_1(B,D) )
                   => ! [E] :
                        ( m2_subset_1(E,k1_numbers,k5_numbers)
                       => ( ( r1_xreal_0(C,E)
                            & r1_xreal_0(E,k3_finseq_1(k20_glib_001(A,B,C,D))) )
                         => ( k1_funct_1(k20_glib_001(A,B,C,D),E) = k1_funct_1(B,k2_xcmplx_0(k6_xcmplx_0(E,C),D))
                            & m2_subset_1(k2_xcmplx_0(k6_xcmplx_0(E,C),D),k1_numbers,k5_numbers)
                            & r1_xreal_0(k2_xcmplx_0(k6_xcmplx_0(E,C),D),k3_finseq_1(B)) ) ) ) ) ) ) ) ) )).

fof(t57_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ! [D] :
                  ( ( ~ v1_abian(D)
                    & m2_subset_1(D,k1_numbers,k5_numbers) )
                 => ( ( r1_xreal_0(C,D)
                      & r1_xreal_0(D,k3_finseq_1(B))
                      & k1_funct_1(B,C) = k1_funct_1(B,D) )
                   => k3_finseq_1(k20_glib_001(A,B,C,D)) = k6_xcmplx_0(k1_nat_1(k3_finseq_1(B),C),D) ) ) ) ) ) )).

fof(t58_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ( k1_funct_1(B,C) = k4_glib_001(A,B)
               => k20_glib_001(A,B,C,k3_finseq_1(B)) = k8_glib_001(A,B,np__1,C) ) ) ) ) )).

fof(t59_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ( k3_glib_001(A,B) = k1_funct_1(B,C)
               => k20_glib_001(A,B,np__1,C) = k8_glib_001(A,B,C,k3_finseq_1(B)) ) ) ) ) )).

fof(t60_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ( k3_glib_001(A,k20_glib_001(A,B,C,D)) = k3_glib_001(A,B)
                    & k4_glib_001(A,k20_glib_001(A,B,C,D)) = k4_glib_001(A,B) ) ) ) ) ) )).

fof(t61_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ! [D] :
                  ( ( ~ v1_abian(D)
                    & m2_subset_1(D,k1_numbers,k5_numbers) )
                 => ! [E] :
                      ( m2_subset_1(E,k1_numbers,k5_numbers)
                     => ~ ( r1_xreal_0(C,D)
                          & r1_xreal_0(D,k3_finseq_1(B))
                          & k1_funct_1(B,C) = k1_funct_1(B,D)
                          & r2_hidden(E,k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),k20_glib_001(A,B,C,D)))
                          & ~ r2_hidden(E,k2_finseq_1(C))
                          & ~ ( r1_xreal_0(C,E)
                              & r1_xreal_0(E,k3_finseq_1(k20_glib_001(A,B,C,D))) ) ) ) ) ) ) ) )).

fof(t62_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v1_glib_000(B)
            & m1_glib_000(B) )
         => ! [C] :
              ( m3_glib_001(C,A)
             => ! [D] :
                  ( m3_glib_001(D,B)
                 => ! [E] :
                      ( m2_subset_1(E,k1_numbers,k5_numbers)
                     => ! [F] :
                          ( m2_subset_1(F,k1_numbers,k5_numbers)
                         => ( C = D
                           => k20_glib_001(A,C,E,F) = k20_glib_001(B,D,E,F) ) ) ) ) ) ) ) )).

fof(t63_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C,D] :
              ( r1_glib_000(A,k4_glib_001(A,B),D,C)
             => k10_glib_001(A,B,C) = k7_finseq_1(B,k10_finseq_1(C,D)) ) ) ) )).

fof(t64_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C,D] :
              ( r1_glib_000(A,k4_glib_001(A,B),D,C)
             => ( k3_glib_001(A,k10_glib_001(A,B,C)) = k3_glib_001(A,B)
                & k4_glib_001(A,k10_glib_001(A,B,C)) = D
                & r1_glib_001(A,k3_glib_001(A,B),D,k10_glib_001(A,B,C)) ) ) ) ) )).

fof(t65_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C,D] :
              ( r1_glib_000(A,k4_glib_001(A,B),D,C)
             => k3_finseq_1(k10_glib_001(A,B,C)) = k1_nat_1(k3_finseq_1(B),np__2) ) ) ) )).

fof(t66_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C,D] :
              ( r1_glib_000(A,k4_glib_001(A,B),D,C)
             => ( k1_funct_1(k10_glib_001(A,B,C),k1_nat_1(k3_finseq_1(B),np__1)) = C
                & k1_funct_1(k10_glib_001(A,B,C),k1_nat_1(k3_finseq_1(B),np__2)) = D
                & ! [E] :
                    ( m2_subset_1(E,k1_numbers,k5_numbers)
                   => ( r2_hidden(E,k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B))
                     => k1_funct_1(k10_glib_001(A,B,C),E) = k1_funct_1(B,E) ) ) ) ) ) ) )).

fof(t67_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C,D,E,F] :
              ( ( r1_glib_001(A,C,D,B)
                & r1_glib_000(A,D,F,E) )
             => r1_glib_001(A,C,F,k10_glib_001(A,B,E)) ) ) ) )).

fof(t68_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => r1_xreal_0(np__1,k3_finseq_1(k11_glib_001(A,B))) ) ) )).

fof(t69_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ( r1_xreal_0(C,k3_finseq_1(B))
               => ( k6_xcmplx_0(k2_nat_1(np__2,k3_nat_1(k1_nat_1(C,np__1),np__2)),np__1) = C
                  & r1_xreal_0(np__1,k3_nat_1(k1_nat_1(C,np__1),np__2))
                  & r1_xreal_0(k3_nat_1(k1_nat_1(C,np__1),np__2),k3_finseq_1(k11_glib_001(A,B))) ) ) ) ) ) )).

fof(t70_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m1_subset_1(B,k6_glib_000(A))
         => k11_glib_001(A,k1_glib_001(A,B)) = k12_finseq_1(k6_glib_000(A),B) ) ) )).

fof(t71_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B,C,D] :
          ( r1_glib_000(A,C,D,B)
         => k11_glib_001(A,k2_glib_001(A,C,D,B)) = k10_finseq_1(C,D) ) ) )).

fof(t72_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( k3_glib_001(A,B) = k1_funct_1(k11_glib_001(A,B),np__1)
            & k4_glib_001(A,B) = k1_funct_1(k11_glib_001(A,B),k3_finseq_1(k11_glib_001(A,B))) ) ) ) )).

fof(t73_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ( r1_xreal_0(C,k3_finseq_1(B))
               => k5_glib_001(A,B,C) = k1_funct_1(k11_glib_001(A,B),k3_nat_1(k1_nat_1(C,np__1),np__2)) ) ) ) ) )).

fof(t74_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ( r2_hidden(C,k4_relset_1(k5_numbers,k6_glib_000(A),k11_glib_001(A,B)))
              <=> r2_hidden(k6_xcmplx_0(k2_nat_1(np__2,C),np__1),k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B)) ) ) ) ) )).

fof(t75_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => r1_tarski(k11_glib_001(A,k8_glib_001(A,B,np__1,C)),k11_glib_001(A,B)) ) ) ) )).

fof(t76_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C,D] :
              ( r1_glib_000(A,k4_glib_001(A,B),D,C)
             => k11_glib_001(A,k10_glib_001(A,B,C)) = k7_finseq_1(k11_glib_001(A,B),k9_finseq_1(D)) ) ) ) )).

fof(t77_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v1_glib_000(B)
            & m1_glib_000(B) )
         => ! [C] :
              ( m3_glib_001(C,A)
             => ! [D] :
                  ( m3_glib_001(D,B)
                 => ( C = D
                   => k11_glib_001(A,C) = k11_glib_001(B,D) ) ) ) ) ) )).

fof(t78_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ( ( r1_xreal_0(np__1,C)
                  & r1_xreal_0(C,k3_finseq_1(B)) )
               => ( r2_hidden(k3_nat_1(C,np__2),k4_relset_1(k5_numbers,k7_glib_000(A),k12_glib_001(A,B)))
                  & k1_funct_1(B,C) = k1_funct_1(k12_glib_001(A,B),k3_nat_1(C,np__2)) ) ) ) ) ) )).

fof(t79_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ( r2_hidden(C,k4_relset_1(k5_numbers,k7_glib_000(A),k12_glib_001(A,B)))
              <=> r2_hidden(k2_nat_1(np__2,C),k4_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B)) ) ) ) ) )).

fof(t80_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ( r2_hidden(C,k4_relset_1(k5_numbers,k7_glib_000(A),k12_glib_001(A,B)))
               => r2_hidden(k1_funct_1(k12_glib_001(A,B),C),k7_glib_000(A)) ) ) ) ) )).

fof(t81_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ? [C] :
              ( v1_abian(C)
              & m2_subset_1(C,k1_numbers,k5_numbers)
              & C = k6_xcmplx_0(k3_finseq_1(B),np__1)
              & k3_finseq_1(k12_glib_001(A,B)) = k3_nat_1(C,np__2) ) ) ) )).

fof(t82_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => r1_tarski(k12_glib_001(A,k8_glib_001(A,B,np__1,C)),k12_glib_001(A,B)) ) ) ) )).

fof(t83_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C,D] :
              ( r1_glib_000(A,k4_glib_001(A,B),D,C)
             => k12_glib_001(A,k10_glib_001(A,B,C)) = k7_finseq_1(k12_glib_001(A,B),k9_finseq_1(C)) ) ) ) )).

fof(t84_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B,C,D] :
          ( r1_glib_000(A,C,D,B)
        <=> k12_glib_001(A,k2_glib_001(A,C,D,B)) = k9_finseq_1(B) ) ) )).

fof(t85_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => k12_glib_001(A,k6_glib_001(A,B)) = k3_finseq_5(k12_glib_001(A,B)) ) ) )).

fof(t86_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ( k4_glib_001(A,B) = k3_glib_001(A,C)
               => k12_glib_001(A,k7_glib_001(A,B,C)) = k8_finseq_1(k7_glib_000(A),k12_glib_001(A,B),k12_glib_001(A,C)) ) ) ) ) )).

fof(t87_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v1_glib_000(B)
            & m1_glib_000(B) )
         => ! [C] :
              ( m3_glib_001(C,A)
             => ! [D] :
                  ( m3_glib_001(D,B)
                 => ( C = D
                   => k12_glib_001(A,C) = k12_glib_001(B,D) ) ) ) ) ) )).

fof(t88_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( r2_hidden(C,k13_glib_001(A,B))
            <=> ? [D] :
                  ( ~ v1_abian(D)
                  & m2_subset_1(D,k1_numbers,k5_numbers)
                  & r1_xreal_0(D,k3_finseq_1(B))
                  & k1_funct_1(B,D) = C ) ) ) ) )).

fof(t89_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( r2_hidden(k3_glib_001(A,B),k13_glib_001(A,B))
            & r2_hidden(k4_glib_001(A,B),k13_glib_001(A,B)) ) ) ) )).

fof(t90_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ( r1_xreal_0(C,k3_finseq_1(B))
               => r2_hidden(k5_glib_001(A,B,C),k13_glib_001(A,B)) ) ) ) ) )).

fof(t91_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m1_subset_1(B,k6_glib_000(A))
         => k13_glib_001(A,k1_glib_001(A,B)) = k6_domain_1(k6_glib_000(A),B) ) ) )).

fof(t92_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B,C,D] :
          ( r1_glib_000(A,C,D,B)
         => k13_glib_001(A,k2_glib_001(A,C,D,B)) = k2_tarski(C,D) ) ) )).

fof(t93_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => k13_glib_001(A,B) = k13_glib_001(A,k6_glib_001(A,B)) ) ) )).

fof(t94_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ( k4_glib_001(A,B) = k3_glib_001(A,C)
               => k13_glib_001(A,k7_glib_001(A,B,C)) = k4_subset_1(k6_glib_000(A),k13_glib_001(A,B),k13_glib_001(A,C)) ) ) ) ) )).

fof(t95_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ! [D] :
                  ( ( ~ v1_abian(D)
                    & m2_subset_1(D,k1_numbers,k5_numbers) )
                 => ( ( r1_xreal_0(C,D)
                      & r1_xreal_0(D,k3_finseq_1(B)) )
                   => r1_tarski(k13_glib_001(A,k8_glib_001(A,B,C,D)),k13_glib_001(A,B)) ) ) ) ) ) )).

fof(t96_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C,D] :
              ( r1_glib_000(A,k4_glib_001(A,B),D,C)
             => k13_glib_001(A,k10_glib_001(A,B,C)) = k2_xboole_0(k13_glib_001(A,B),k1_tarski(D)) ) ) ) )).

fof(t97_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & v2_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C,D] :
              ( r1_glib_000(A,k4_glib_001(A,B),D,C)
             => ( r2_hidden(D,k13_glib_001(A,B))
                | k4_card_1(k13_glib_001(A,k10_glib_001(A,B,C))) = k1_nat_1(k4_card_1(k13_glib_001(A,B)),np__1) ) ) ) ) )).

fof(t98_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C,D] :
              ~ ( r2_hidden(C,k13_glib_001(A,B))
                & r2_hidden(D,k13_glib_001(A,B))
                & ! [E] :
                    ( m3_glib_001(E,A)
                   => ~ r1_glib_001(A,C,D,E) ) ) ) ) )).

fof(t99_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v1_glib_000(B)
            & m1_glib_000(B) )
         => ! [C] :
              ( m3_glib_001(C,A)
             => ! [D] :
                  ( m3_glib_001(D,B)
                 => ( C = D
                   => k13_glib_001(A,C) = k13_glib_001(B,D) ) ) ) ) ) )).

fof(t100_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( r2_hidden(C,k14_glib_001(A,B))
            <=> ? [D] :
                  ( v1_abian(D)
                  & m2_subset_1(D,k1_numbers,k5_numbers)
                  & r1_xreal_0(np__1,D)
                  & r1_xreal_0(D,k3_finseq_1(B))
                  & k1_funct_1(B,D) = C ) ) ) ) )).

fof(t101_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( r2_hidden(C,k14_glib_001(A,B))
            <=> ? [D] :
                  ( ~ v1_abian(D)
                  & m2_subset_1(D,k1_numbers,k5_numbers)
                  & ~ r1_xreal_0(k3_finseq_1(B),D)
                  & k1_funct_1(B,k1_nat_1(D,np__1)) = C ) ) ) ) )).

fof(t102_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => k5_relset_1(k5_numbers,k2_xboole_0(k6_glib_000(A),k7_glib_000(A)),B) = k2_xboole_0(k13_glib_001(A,B),k14_glib_001(A,B)) ) ) )).

fof(t103_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ( k4_glib_001(A,B) = k3_glib_001(A,C)
               => k14_glib_001(A,k7_glib_001(A,B,C)) = k4_subset_1(k7_glib_000(A),k14_glib_001(A,B),k14_glib_001(A,C)) ) ) ) ) )).

fof(t104_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ~ ( r2_hidden(C,k14_glib_001(A,B))
                & ! [D] :
                    ( m1_subset_1(D,k6_glib_000(A))
                   => ! [E] :
                        ( m1_subset_1(E,k6_glib_000(A))
                       => ! [F] :
                            ( ( ~ v1_abian(F)
                              & m2_subset_1(F,k1_numbers,k5_numbers) )
                           => ~ ( r1_xreal_0(k1_nat_1(F,np__2),k3_finseq_1(B))
                                & D = k1_funct_1(B,F)
                                & C = k1_funct_1(B,k1_nat_1(F,np__1))
                                & E = k1_funct_1(B,k1_nat_1(F,np__2))
                                & r1_glib_000(A,D,E,C) ) ) ) ) ) ) ) )).

fof(t105_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( r2_hidden(C,k14_glib_001(A,B))
            <=> ? [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                  & r2_hidden(D,k4_relset_1(k5_numbers,k7_glib_000(A),k12_glib_001(A,B)))
                  & k1_funct_1(k12_glib_001(A,B),D) = C ) ) ) ) )).

fof(t106_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C,D,E] :
              ( ( r2_hidden(C,k14_glib_001(A,B))
                & r1_glib_000(A,D,E,C) )
             => ( r2_hidden(D,k13_glib_001(A,B))
                & r2_hidden(E,k13_glib_001(A,B)) ) ) ) ) )).

fof(t107_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => r1_tarski(k14_glib_001(A,k8_glib_001(A,B,C,D)),k14_glib_001(A,B)) ) ) ) ) )).

fof(t108_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => k14_glib_001(A,B) = k14_glib_001(A,k6_glib_001(A,B)) ) ) )).

fof(t109_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B,C,D] :
          ( r1_glib_000(A,C,D,B)
        <=> k14_glib_001(A,k2_glib_001(A,C,D,B)) = k1_tarski(B) ) ) )).

fof(t110_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => r1_tarski(k14_glib_001(A,B),k22_glib_000(A,k13_glib_001(A,B))) ) ) )).

fof(t111_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v1_glib_000(B)
            & m1_glib_000(B) )
         => ! [C] :
              ( m3_glib_001(C,A)
             => ! [D] :
                  ( m3_glib_001(D,B)
                 => ( C = D
                   => k14_glib_001(A,C) = k14_glib_001(B,D) ) ) ) ) ) )).

fof(t112_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C,D] :
              ( r1_glib_000(A,k4_glib_001(A,B),D,C)
             => k14_glib_001(A,k10_glib_001(A,B,C)) = k2_xboole_0(k14_glib_001(A,B),k1_tarski(C)) ) ) ) )).

fof(t113_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => k3_finseq_1(B) = k1_nat_1(k2_nat_1(np__2,k15_glib_001(A,B)),np__1) ) ) )).

fof(t114_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ( k3_finseq_1(B) = k3_finseq_1(C)
              <=> k15_glib_001(A,B) = k15_glib_001(A,C) ) ) ) ) )).

fof(t115_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v1_glib_000(B)
            & m1_glib_000(B) )
         => ! [C] :
              ( m3_glib_001(C,A)
             => ! [D] :
                  ( m3_glib_001(D,B)
                 => ( C = D
                   => k15_glib_001(A,C) = k15_glib_001(B,D) ) ) ) ) ) )).

fof(t116_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ( r1_xreal_0(C,k3_finseq_1(B))
               => ( r1_xreal_0(k16_glib_001(A,B,k1_funct_1(B,C)),C)
                  & r1_xreal_0(C,k18_glib_001(A,B,k1_funct_1(B,C))) ) ) ) ) ) )).

fof(t117_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v1_glib_000(B)
            & m1_glib_000(B) )
         => ! [C] :
              ( m3_glib_001(C,A)
             => ! [D] :
                  ( m3_glib_001(D,B)
                 => ! [E] :
                      ( C = D
                     => ( k16_glib_001(A,C,E) = k16_glib_001(B,D,E)
                        & k18_glib_001(A,C,E) = k18_glib_001(B,D,E) ) ) ) ) ) ) )).

fof(t118_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ( r1_xreal_0(C,k3_finseq_1(B))
               => ( r1_xreal_0(k17_glib_001(A,B,C),C)
                  & r1_xreal_0(C,k19_glib_001(A,B,C)) ) ) ) ) ) )).

fof(t119_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v1_glib_001(B,A)
          <=> k1_funct_1(B,np__1) = k1_funct_1(B,k3_finseq_1(B)) ) ) ) )).

fof(t120_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v1_glib_001(B,A)
          <=> ? [C] : r1_glib_001(A,C,C,B) ) ) ) )).

fof(t121_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v1_glib_001(B,A)
          <=> v1_glib_001(k6_glib_001(A,B),A) ) ) ) )).

fof(t122_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v1_glib_000(B)
            & m1_glib_000(B) )
         => ! [C] :
              ( m3_glib_001(C,A)
             => ! [D] :
                  ( m3_glib_001(D,B)
                 => ( ( C = D
                      & v1_glib_001(C,A) )
                   => v1_glib_001(D,B) ) ) ) ) ) )).

fof(t123_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v2_glib_001(B,A)
          <=> ! [C] :
                ( ( ~ v1_abian(C)
                  & m2_subset_1(C,k1_numbers,k5_numbers) )
               => ( ~ r1_xreal_0(k3_finseq_1(B),C)
                 => r2_glib_000(A,k1_funct_1(B,C),k1_funct_1(B,k1_nat_1(C,np__2)),k1_funct_1(B,k1_nat_1(C,np__1))) ) ) ) ) ) )).

fof(t124_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C,D,E,F] :
              ( ( v2_glib_001(B,A)
                & r1_glib_001(A,C,D,B)
                & r2_glib_000(A,D,F,E) )
             => ( v2_glib_001(k10_glib_001(A,B,E),A)
                & r1_glib_001(A,C,F,k10_glib_001(A,B,E)) ) ) ) ) )).

fof(t125_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v2_glib_001(B,A)
            & m3_glib_001(B,A) )
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => v2_glib_001(k8_glib_001(A,B,C,D),A) ) ) ) ) )).

fof(t126_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( ~ v3_glib_001(B,A)
          <=> r1_xreal_0(np__3,k3_finseq_1(B)) ) ) ) )).

fof(t127_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( ~ ( ~ v3_glib_001(B,A)
                & k3_finseq_1(B) = np__1 )
            & ~ ( k3_finseq_1(B) != np__1
                & v3_glib_001(B,A) ) ) ) ) )).

fof(t128_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ~ ( k3_glib_001(A,B) != k4_glib_001(A,B)
              & v3_glib_001(B,A) ) ) ) )).

fof(t129_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v3_glib_001(B,A)
          <=> ? [C] :
                ( m1_subset_1(C,k6_glib_000(A))
                & B = k1_glib_001(A,C) ) ) ) ) )).

fof(t130_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v3_glib_001(B,A)
          <=> v3_glib_001(k6_glib_001(A,B),A) ) ) ) )).

fof(t131_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ( v3_glib_001(B,A)
               => k7_glib_001(A,C,B) = C ) ) ) ) )).

fof(t132_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( ( ~ v1_abian(C)
                & m2_subset_1(C,k1_numbers,k5_numbers) )
             => ! [D] :
                  ( ( ~ v1_abian(D)
                    & m2_subset_1(D,k1_numbers,k5_numbers) )
                 => ( ( r1_xreal_0(C,D)
                      & r1_xreal_0(D,k3_finseq_1(B)) )
                   => ( v3_glib_001(k8_glib_001(A,B,C,D),A)
                    <=> C = D ) ) ) ) ) ) )).

fof(t133_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C,D] :
              ~ ( r1_glib_000(A,k4_glib_001(A,B),D,C)
                & v3_glib_001(k10_glib_001(A,B,C),A) ) ) ) )).

fof(t134_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ~ ( ~ v3_glib_001(B,A)
              & ! [C] :
                  ( ( ~ v1_abian(C)
                    & m2_subset_1(C,k1_numbers,k5_numbers) )
                 => ~ ( C = k6_xcmplx_0(k3_finseq_1(B),np__2)
                      & k10_glib_001(A,k8_glib_001(A,B,np__1,C),k1_funct_1(B,k1_nat_1(C,np__1))) = B ) ) ) ) ) )).

fof(t135_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ( r1_tarski(k14_glib_001(A,B),k14_glib_001(A,C))
               => ( v3_glib_001(B,A)
                  | r1_tarski(k13_glib_001(A,B),k13_glib_001(A,C)) ) ) ) ) ) )).

fof(t136_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( ~ v3_glib_001(B,A)
           => ! [C] :
                ( m1_subset_1(C,k6_glib_000(A))
               => ~ ( r2_hidden(C,k13_glib_001(A,B))
                    & v10_glib_000(C,A) ) ) ) ) ) )).

fof(t137_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v3_glib_001(B,A)
          <=> k14_glib_001(A,B) = k1_xboole_0 ) ) ) )).

fof(t138_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v1_glib_000(B)
            & m1_glib_000(B) )
         => ! [C] :
              ( m3_glib_001(C,A)
             => ! [D] :
                  ( m3_glib_001(D,B)
                 => ( ( C = D
                      & v3_glib_001(C,A) )
                   => v3_glib_001(D,B) ) ) ) ) ) )).

fof(t139_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v4_glib_001(B,A)
          <=> ! [C] :
                ( ( v1_abian(C)
                  & m2_subset_1(C,k1_numbers,k5_numbers) )
               => ! [D] :
                    ( ( v1_abian(D)
                      & m2_subset_1(D,k1_numbers,k5_numbers) )
                   => ~ ( r1_xreal_0(np__1,C)
                        & ~ r1_xreal_0(D,C)
                        & r1_xreal_0(D,k3_finseq_1(B))
                        & k1_funct_1(B,C) = k1_funct_1(B,D) ) ) ) ) ) ) )).

fof(t140_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( r1_xreal_0(k3_finseq_1(B),np__3)
           => v4_glib_001(B,A) ) ) ) )).

fof(t141_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v4_glib_001(B,A)
          <=> v4_glib_001(k6_glib_001(A,B),A) ) ) ) )).

fof(t142_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v4_glib_001(B,A)
            & m3_glib_001(B,A) )
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => v4_glib_001(k8_glib_001(A,B,C,D),A) ) ) ) ) )).

fof(t143_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v4_glib_001(B,A)
            & m3_glib_001(B,A) )
         => ! [C] :
              ( r2_hidden(C,k29_glib_000(A,k4_glib_001(A,B)))
             => ( r2_hidden(C,k14_glib_001(A,B))
                | v4_glib_001(k10_glib_001(A,B,C),A) ) ) ) ) )).

fof(t144_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v4_glib_001(B,A)
            & m3_glib_001(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k6_glib_000(A))
             => ~ ( r2_hidden(C,k13_glib_001(A,B))
                  & v11_glib_000(C,A)
                  & C != k3_glib_001(A,B)
                  & C != k4_glib_001(A,B) ) ) ) ) )).

fof(t145_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & v2_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v4_glib_001(B,A)
            & m3_glib_001(B,A) )
         => r1_xreal_0(k3_finseq_1(k12_glib_001(A,B)),k18_glib_000(A)) ) ) )).

fof(t146_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( r1_xreal_0(k3_finseq_1(B),np__3)
           => v5_glib_001(B,A) ) ) ) )).

fof(t147_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( ! [C] :
                ( ( ~ v1_abian(C)
                  & m2_subset_1(C,k1_numbers,k5_numbers) )
               => ! [D] :
                    ( ( ~ v1_abian(D)
                      & m2_subset_1(D,k1_numbers,k5_numbers) )
                   => ( ( r1_xreal_0(C,k3_finseq_1(B))
                        & r1_xreal_0(D,k3_finseq_1(B))
                        & k1_funct_1(B,C) = k1_funct_1(B,D) )
                     => C = D ) ) )
           => v5_glib_001(B,A) ) ) ) )).

fof(t148_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v5_glib_001(B,A)
            & m3_glib_001(B,A) )
         => ( ~ v1_glib_001(B,A)
           => ! [C] :
                ( ( ~ v1_abian(C)
                  & m2_subset_1(C,k1_numbers,k5_numbers) )
               => ! [D] :
                    ( ( ~ v1_abian(D)
                      & m2_subset_1(D,k1_numbers,k5_numbers) )
                   => ~ ( ~ r1_xreal_0(D,C)
                        & r1_xreal_0(D,k3_finseq_1(B))
                        & k1_funct_1(B,C) = k1_funct_1(B,D) ) ) ) ) ) ) )).

fof(t149_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( v5_glib_001(B,A)
          <=> v5_glib_001(k6_glib_001(A,B),A) ) ) ) )).

fof(t150_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v5_glib_001(B,A)
            & m3_glib_001(B,A) )
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => v5_glib_001(k8_glib_001(A,B,C,D),A) ) ) ) ) )).

fof(t151_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v5_glib_001(B,A)
            & m3_glib_001(B,A) )
         => ! [C,D] :
              ( ( r1_glib_000(A,k4_glib_001(A,B),D,C)
                & ! [E] :
                    ( ( ~ v1_abian(E)
                      & m2_subset_1(E,k1_numbers,k5_numbers) )
                   => ~ ( ~ r1_xreal_0(E,np__1)
                        & r1_xreal_0(E,k3_finseq_1(B))
                        & k1_funct_1(B,E) = D ) ) )
             => ( r2_hidden(C,k14_glib_001(A,B))
                | ( ~ v3_glib_001(B,A)
                  & v1_glib_001(B,A) )
                | v5_glib_001(k10_glib_001(A,B,C),A) ) ) ) ) )).

fof(t152_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v5_glib_001(B,A)
            & m3_glib_001(B,A) )
         => ! [C,D] :
              ( r1_glib_000(A,k4_glib_001(A,B),D,C)
             => ( r2_hidden(D,k13_glib_001(A,B))
                | ( ~ v3_glib_001(B,A)
                  & v1_glib_001(B,A) )
                | v5_glib_001(k10_glib_001(A,B,C),A) ) ) ) ) )).

fof(t153_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( ! [C] :
                ( ( ~ v1_abian(C)
                  & m2_subset_1(C,k1_numbers,k5_numbers) )
               => ( r1_xreal_0(C,k3_finseq_1(B))
                 => k16_glib_001(A,B,k1_funct_1(B,C)) = k18_glib_001(A,B,k1_funct_1(B,C)) ) )
           => v5_glib_001(B,A) ) ) ) )).

fof(t154_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ( ! [C] :
                ( ( ~ v1_abian(C)
                  & m2_subset_1(C,k1_numbers,k5_numbers) )
               => ( r1_xreal_0(C,k3_finseq_1(B))
                 => k19_glib_001(A,B,C) = C ) )
           => v5_glib_001(B,A) ) ) ) )).

fof(t155_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & v2_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v5_glib_001(B,A)
            & m3_glib_001(B,A) )
         => r1_xreal_0(k3_finseq_1(k11_glib_001(A,B)),k1_nat_1(k16_glib_000(A),np__1)) ) ) )).

fof(t156_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v6_glib_001(B,A)
            & m3_glib_001(B,A) )
         => ! [C,D] :
              ( r1_glib_000(A,k4_glib_001(A,B),D,C)
             => ( r2_hidden(D,k13_glib_001(A,B))
                | v6_glib_001(k10_glib_001(A,B,C),A) ) ) ) ) )).

fof(t157_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B,C] :
          ( r1_glib_000(A,C,C,B)
         => v8_glib_001(k2_glib_001(A,C,C,B),A) ) ) )).

fof(t158_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C,D,E] :
              ~ ( r1_glib_000(A,D,E,C)
                & r2_hidden(C,k14_glib_001(A,B))
                & v8_glib_001(B,A)
                & ! [F] :
                    ( m3_glib_001(F,A)
                   => ~ ( r1_glib_001(A,D,E,F)
                        & ~ r2_hidden(C,k14_glib_001(A,F)) ) ) ) ) ) )).

fof(t159_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => m4_glib_001(B,A,B) ) ) )).

fof(t160_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m4_glib_001(C,A,B)
             => ! [D] :
                  ( m4_glib_001(D,A,C)
                 => m4_glib_001(D,A,B) ) ) ) ) )).

fof(t161_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ! [D,E] :
                  ( m4_glib_001(B,A,C)
                 => ( r1_glib_001(A,D,E,B)
                  <=> r1_glib_001(A,D,E,C) ) ) ) ) ) )).

fof(t162_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ( m4_glib_001(B,A,C)
               => ( k3_glib_001(A,B) = k3_glib_001(A,C)
                  & k4_glib_001(A,B) = k4_glib_001(A,C) ) ) ) ) ) )).

fof(t163_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ( m4_glib_001(B,A,C)
               => r1_xreal_0(k3_finseq_1(B),k3_finseq_1(C)) ) ) ) ) )).

fof(t164_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ( m4_glib_001(B,A,C)
               => ( r1_tarski(k14_glib_001(A,B),k14_glib_001(A,C))
                  & r1_tarski(k13_glib_001(A,B),k13_glib_001(A,C)) ) ) ) ) ) )).

fof(t165_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ( m4_glib_001(B,A,C)
               => ! [D] :
                    ( ( ~ v1_abian(D)
                      & m2_subset_1(D,k1_numbers,k5_numbers) )
                   => ~ ( r1_xreal_0(D,k3_finseq_1(B))
                        & ! [E] :
                            ( ( ~ v1_abian(E)
                              & m2_subset_1(E,k1_numbers,k5_numbers) )
                           => ~ ( r1_xreal_0(D,E)
                                & r1_xreal_0(E,k3_finseq_1(C))
                                & k1_funct_1(B,D) = k1_funct_1(C,E) ) ) ) ) ) ) ) ) )).

fof(t166_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ( m4_glib_001(B,A,C)
               => ! [D] :
                    ( ( v1_abian(D)
                      & m2_subset_1(D,k1_numbers,k5_numbers) )
                   => ~ ( r1_xreal_0(np__1,D)
                        & r1_xreal_0(D,k3_finseq_1(B))
                        & ! [E] :
                            ( ( v1_abian(E)
                              & m2_subset_1(E,k1_numbers,k5_numbers) )
                           => ~ ( r1_xreal_0(D,E)
                                & r1_xreal_0(E,k3_finseq_1(C))
                                & k1_funct_1(B,D) = k1_funct_1(C,E) ) ) ) ) ) ) ) ) )).

fof(t167_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v4_glib_001(B,A)
            & m3_glib_001(B,A) )
         => ~ ( ~ v3_glib_001(B,A)
              & ! [C] :
                  ( ( v5_glib_001(C,A)
                    & m4_glib_001(C,A,B) )
                 => v3_glib_001(C,A) ) ) ) ) )).

fof(t168_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m2_glib_000(B,A)
         => ! [C] :
              ( m3_glib_001(C,B)
             => m3_glib_001(C,A) ) ) ) )).

fof(t169_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m2_glib_000(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ( ( v3_glib_001(C,A)
                  & r2_hidden(k3_glib_001(A,C),k25_glib_000(A,B)) )
               => m3_glib_001(C,B) ) ) ) ) )).

fof(t170_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m2_glib_000(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ( r1_tarski(k14_glib_001(A,C),k26_glib_000(A,B))
               => ( v3_glib_001(C,A)
                  | m3_glib_001(C,B) ) ) ) ) ) )).

fof(t171_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m2_glib_000(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ( ( r1_tarski(k13_glib_001(A,C),k25_glib_000(A,B))
                  & r1_tarski(k14_glib_001(A,C),k26_glib_000(A,B)) )
               => m3_glib_001(C,B) ) ) ) ) )).

fof(t172_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & ~ v4_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C] :
              ( m1_subset_1(C,k6_glib_000(A))
             => ! [D] :
                  ( m3_glib_000(D,A,k1_card_fil(k6_glib_000(A),k1_tarski(C)),k22_glib_000(A,k1_card_fil(k6_glib_000(A),k1_tarski(C))))
                 => ( ~ r2_hidden(C,k13_glib_001(A,B))
                   => m3_glib_001(B,D) ) ) ) ) ) )).

fof(t173_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => ! [C,D] :
              ( m3_glib_000(D,A,k6_glib_000(A),k1_card_fil(k7_glib_000(A),k1_tarski(C)))
             => ( ~ r2_hidden(C,k14_glib_001(A,B))
               => m3_glib_001(B,D) ) ) ) ) )).

fof(t174_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m2_glib_000(B,A)
         => ! [C,D,E] :
              ( r1_glib_000(B,C,D,E)
             => k2_glib_001(A,C,D,E) = k2_glib_001(B,C,D,E) ) ) ) )).

fof(t175_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m2_glib_000(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ! [D] :
                  ( m3_glib_001(D,B)
                 => ! [E] :
                      ( ( C = D
                        & r2_hidden(E,k29_glib_000(B,k4_glib_001(B,D))) )
                     => k10_glib_001(A,C,E) = k10_glib_001(B,D,E) ) ) ) ) ) )).

fof(t176_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m2_glib_000(B,A)
         => ! [C] :
              ( m3_glib_001(C,B)
             => ( ( v1_glib_001(C,B)
                 => ( v1_glib_001(C,A)
                    & m3_glib_001(C,A) ) )
                & ( v2_glib_001(C,B)
                 => ( v2_glib_001(C,A)
                    & m3_glib_001(C,A) ) )
                & ( v3_glib_001(C,B)
                 => ( v3_glib_001(C,A)
                    & m3_glib_001(C,A) ) )
                & ( v4_glib_001(C,B)
                 => ( v4_glib_001(C,A)
                    & m3_glib_001(C,A) ) )
                & ( v5_glib_001(C,B)
                 => ( v5_glib_001(C,A)
                    & m3_glib_001(C,A) ) )
                & ( v6_glib_001(C,B)
                 => ( v6_glib_001(C,A)
                    & m3_glib_001(C,A) ) ) ) ) ) ) )).

fof(t177_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m2_glib_000(B,A)
         => ! [C] :
              ( m3_glib_001(C,A)
             => ! [D] :
                  ( m3_glib_001(D,B)
                 => ( C = D
                   => ( ( v1_glib_001(C,A)
                       => v1_glib_001(D,B) )
                      & ( v1_glib_001(D,B)
                       => v1_glib_001(C,A) )
                      & ( v2_glib_001(C,A)
                       => v2_glib_001(D,B) )
                      & ( v2_glib_001(D,B)
                       => v2_glib_001(C,A) )
                      & ( v3_glib_001(C,A)
                       => v3_glib_001(D,B) )
                      & ( v3_glib_001(D,B)
                       => v3_glib_001(C,A) )
                      & ( v4_glib_001(C,A)
                       => v4_glib_001(D,B) )
                      & ( v4_glib_001(D,B)
                       => v4_glib_001(C,A) )
                      & ( v5_glib_001(C,A)
                       => v5_glib_001(D,B) )
                      & ( v5_glib_001(D,B)
                       => v5_glib_001(C,A) )
                      & ( v6_glib_001(C,A)
                       => v6_glib_001(D,B) )
                      & ( v6_glib_001(D,B)
                       => v6_glib_001(C,A) ) ) ) ) ) ) ) )).

fof(t178_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v1_glib_000(B)
            & m1_glib_000(B) )
         => ! [C] :
              ( ( r5_glib_000(A,B)
                & m1_glib_001(C,A) )
             => m1_glib_001(C,B) ) ) ) )).

fof(t179_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v1_glib_000(B)
            & m1_glib_000(B) )
         => ! [C] :
              ( ( r5_glib_000(A,B)
                & m2_glib_001(C,A) )
             => m2_glib_001(C,B) ) ) ) )).

fof(t180_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v1_glib_000(B)
            & m1_glib_000(B) )
         => ! [C] :
              ( ( r5_glib_000(A,B)
                & m3_glib_001(C,A) )
             => m3_glib_001(C,B) ) ) ) )).

fof(t181_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v1_glib_000(B)
            & m1_glib_000(B) )
         => ! [C,D,E] :
              ( r5_glib_000(A,B)
             => k2_glib_001(A,C,E,D) = k2_glib_001(B,C,E,D) ) ) ) )).

fof(t182_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( ( v1_glib_000(B)
            & m1_glib_000(B) )
         => ! [C] :
              ( m3_glib_001(C,A)
             => ! [D] :
                  ( m3_glib_001(D,B)
                 => ( ( r5_glib_000(A,B)
                      & C = D )
                   => ( ( v1_glib_001(C,A)
                       => v1_glib_001(D,B) )
                      & ( v1_glib_001(D,B)
                       => v1_glib_001(C,A) )
                      & ( v2_glib_001(C,A)
                       => v2_glib_001(D,B) )
                      & ( v2_glib_001(D,B)
                       => v2_glib_001(C,A) )
                      & ( v3_glib_001(C,A)
                       => v3_glib_001(D,B) )
                      & ( v3_glib_001(D,B)
                       => v3_glib_001(C,A) )
                      & ( v4_glib_001(C,A)
                       => v4_glib_001(D,B) )
                      & ( v4_glib_001(D,B)
                       => v4_glib_001(C,A) )
                      & ( v5_glib_001(C,A)
                       => v5_glib_001(D,B) )
                      & ( v5_glib_001(D,B)
                       => v5_glib_001(C,A) )
                      & ( v6_glib_001(C,A)
                       => v6_glib_001(D,B) )
                      & ( v6_glib_001(D,B)
                       => v6_glib_001(C,A) ) ) ) ) ) ) ) )).

fof(dt_m1_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m1_glib_001(B,A)
         => m2_finseq_1(B,k6_glib_000(A)) ) ) )).

fof(existence_m1_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ? [B] : m1_glib_001(B,A) ) )).

fof(dt_m2_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m2_glib_001(B,A)
         => m2_finseq_1(B,k7_glib_000(A)) ) ) )).

fof(existence_m2_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ? [B] : m2_glib_001(B,A) ) )).

fof(dt_m3_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ! [B] :
          ( m3_glib_001(B,A)
         => m2_finseq_1(B,k2_xboole_0(k6_glib_000(A),k7_glib_000(A))) ) ) )).

fof(existence_m3_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ? [B] : m3_glib_001(B,A) ) )).

fof(dt_m4_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => ! [C] :
          ( m4_glib_001(C,A,B)
         => m3_glib_001(C,A) ) ) )).

fof(existence_m4_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => ? [C] : m4_glib_001(C,A,B) ) )).

fof(dt_m5_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(k21_glib_001(A))) )
     => ! [C] :
          ( m5_glib_001(C,A,B)
         => m3_glib_001(C,A) ) ) )).

fof(existence_m5_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(k21_glib_001(A))) )
     => ? [C] : m5_glib_001(C,A,B) ) )).

fof(redefinition_m5_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(k21_glib_001(A))) )
     => ! [C] :
          ( m5_glib_001(C,A,B)
        <=> m1_subset_1(C,B) ) ) )).

fof(dt_m6_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(k22_glib_001(A))) )
     => ! [C] :
          ( m6_glib_001(C,A,B)
         => ( v4_glib_001(C,A)
            & m3_glib_001(C,A) ) ) ) )).

fof(existence_m6_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(k22_glib_001(A))) )
     => ? [C] : m6_glib_001(C,A,B) ) )).

fof(redefinition_m6_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(k22_glib_001(A))) )
     => ! [C] :
          ( m6_glib_001(C,A,B)
        <=> m1_subset_1(C,B) ) ) )).

fof(dt_m7_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(k23_glib_001(A))) )
     => ! [C] :
          ( m7_glib_001(C,A,B)
         => ( v5_glib_001(C,A)
            & m3_glib_001(C,A) ) ) ) )).

fof(existence_m7_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(k23_glib_001(A))) )
     => ? [C] : m7_glib_001(C,A,B) ) )).

fof(redefinition_m7_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(k23_glib_001(A))) )
     => ! [C] :
          ( m7_glib_001(C,A,B)
        <=> m1_subset_1(C,B) ) ) )).

fof(dt_m8_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(k24_glib_001(A))) )
     => ! [C] :
          ( m8_glib_001(C,A,B)
         => ( v2_glib_001(C,A)
            & m3_glib_001(C,A) ) ) ) )).

fof(existence_m8_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(k24_glib_001(A))) )
     => ? [C] : m8_glib_001(C,A,B) ) )).

fof(redefinition_m8_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(k24_glib_001(A))) )
     => ! [C] :
          ( m8_glib_001(C,A,B)
        <=> m1_subset_1(C,B) ) ) )).

fof(dt_m9_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(k25_glib_001(A))) )
     => ! [C] :
          ( m9_glib_001(C,A,B)
         => ( v2_glib_001(C,A)
            & v4_glib_001(C,A)
            & m3_glib_001(C,A) ) ) ) )).

fof(existence_m9_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(k25_glib_001(A))) )
     => ? [C] : m9_glib_001(C,A,B) ) )).

fof(redefinition_m9_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(k25_glib_001(A))) )
     => ! [C] :
          ( m9_glib_001(C,A,B)
        <=> m1_subset_1(C,B) ) ) )).

fof(dt_m10_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(k26_glib_001(A))) )
     => ! [C] :
          ( m10_glib_001(C,A,B)
         => ( v2_glib_001(C,A)
            & v5_glib_001(C,A)
            & m3_glib_001(C,A) ) ) ) )).

fof(existence_m10_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(k26_glib_001(A))) )
     => ? [C] : m10_glib_001(C,A,B) ) )).

fof(redefinition_m10_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & ~ v1_xboole_0(B)
        & m1_subset_1(B,k1_zfmisc_1(k26_glib_001(A))) )
     => ! [C] :
          ( m10_glib_001(C,A,B)
        <=> m1_subset_1(C,B) ) ) )).

fof(dt_k1_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m1_subset_1(B,k6_glib_000(A)) )
     => m3_glib_001(k1_glib_001(A,B),A) ) )).

fof(dt_k2_glib_001,axiom,(
    ! [A,B,C,D] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => m3_glib_001(k2_glib_001(A,B,C,D),A) ) )).

fof(dt_k3_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => m1_subset_1(k3_glib_001(A,B),k6_glib_000(A)) ) )).

fof(dt_k4_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => m1_subset_1(k4_glib_001(A,B),k6_glib_000(A)) ) )).

fof(dt_k5_glib_001,axiom,(
    ! [A,B,C] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A)
        & m1_subset_1(C,k5_numbers) )
     => m1_subset_1(k5_glib_001(A,B,C),k6_glib_000(A)) ) )).

fof(dt_k6_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => m3_glib_001(k6_glib_001(A,B),A) ) )).

fof(dt_k7_glib_001,axiom,(
    ! [A,B,C] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A)
        & m3_glib_001(C,A) )
     => m3_glib_001(k7_glib_001(A,B,C),A) ) )).

fof(dt_k8_glib_001,axiom,(
    ! [A,B,C,D] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A)
        & m1_subset_1(C,k5_numbers)
        & m1_subset_1(D,k5_numbers) )
     => m3_glib_001(k8_glib_001(A,B,C,D),A) ) )).

fof(dt_k9_glib_001,axiom,(
    ! [A,B,C,D] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A)
        & m1_subset_1(C,k5_numbers)
        & m1_subset_1(D,k5_numbers) )
     => m3_glib_001(k9_glib_001(A,B,C,D),A) ) )).

fof(dt_k10_glib_001,axiom,(
    ! [A,B,C] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => m3_glib_001(k10_glib_001(A,B,C),A) ) )).

fof(dt_k11_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => m1_glib_001(k11_glib_001(A,B),A) ) )).

fof(dt_k12_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => m2_glib_001(k12_glib_001(A,B),A) ) )).

fof(dt_k13_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => ( v1_finset_1(k13_glib_001(A,B))
        & m1_subset_1(k13_glib_001(A,B),k1_zfmisc_1(k6_glib_000(A))) ) ) )).

fof(dt_k14_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => ( v1_finset_1(k14_glib_001(A,B))
        & m1_subset_1(k14_glib_001(A,B),k1_zfmisc_1(k7_glib_000(A))) ) ) )).

fof(dt_k15_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => m2_subset_1(k15_glib_001(A,B),k1_numbers,k5_numbers) ) )).

fof(dt_k16_glib_001,axiom,(
    ! [A,B,C] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => ( ~ v1_abian(k16_glib_001(A,B,C))
        & m2_subset_1(k16_glib_001(A,B,C),k1_numbers,k5_numbers) ) ) )).

fof(dt_k17_glib_001,axiom,(
    ! [A,B,C] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A)
        & m1_subset_1(C,k5_numbers) )
     => ( ~ v1_abian(k17_glib_001(A,B,C))
        & m2_subset_1(k17_glib_001(A,B,C),k1_numbers,k5_numbers) ) ) )).

fof(dt_k18_glib_001,axiom,(
    ! [A,B,C] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A) )
     => ( ~ v1_abian(k18_glib_001(A,B,C))
        & m2_subset_1(k18_glib_001(A,B,C),k1_numbers,k5_numbers) ) ) )).

fof(dt_k19_glib_001,axiom,(
    ! [A,B,C] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A)
        & m1_subset_1(C,k5_numbers) )
     => ( ~ v1_abian(k19_glib_001(A,B,C))
        & m2_subset_1(k19_glib_001(A,B,C),k1_numbers,k5_numbers) ) ) )).

fof(dt_k20_glib_001,axiom,(
    ! [A,B,C,D] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A)
        & m1_subset_1(C,k5_numbers)
        & m1_subset_1(D,k5_numbers) )
     => m4_glib_001(k20_glib_001(A,B,C,D),A,B) ) )).

fof(redefinition_k20_glib_001,axiom,(
    ! [A,B,C,D] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A)
        & m3_glib_001(B,A)
        & m1_subset_1(C,k5_numbers)
        & m1_subset_1(D,k5_numbers) )
     => k20_glib_001(A,B,C,D) = k9_glib_001(A,B,C,D) ) )).

fof(dt_k21_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ( ~ v1_xboole_0(k21_glib_001(A))
        & m1_subset_1(k21_glib_001(A),k1_zfmisc_1(k3_finseq_2(k2_xboole_0(k6_glib_000(A),k7_glib_000(A))))) ) ) )).

fof(dt_k22_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ( ~ v1_xboole_0(k22_glib_001(A))
        & m1_subset_1(k22_glib_001(A),k1_zfmisc_1(k21_glib_001(A))) ) ) )).

fof(dt_k23_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ( ~ v1_xboole_0(k23_glib_001(A))
        & m1_subset_1(k23_glib_001(A),k1_zfmisc_1(k22_glib_001(A))) ) ) )).

fof(dt_k24_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ( ~ v1_xboole_0(k24_glib_001(A))
        & m1_subset_1(k24_glib_001(A),k1_zfmisc_1(k21_glib_001(A))) ) ) )).

fof(dt_k25_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ( ~ v1_xboole_0(k25_glib_001(A))
        & m1_subset_1(k25_glib_001(A),k1_zfmisc_1(k22_glib_001(A))) ) ) )).

fof(dt_k26_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => ( ~ v1_xboole_0(k26_glib_001(A))
        & m1_subset_1(k26_glib_001(A),k1_zfmisc_1(k25_glib_001(A))) ) ) )).

fof(d33_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => k21_glib_001(A) = a_1_0_glib_001(A) ) )).

fof(d34_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => k22_glib_001(A) = a_1_1_glib_001(A) ) )).

fof(d35_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => k23_glib_001(A) = a_1_2_glib_001(A) ) )).

fof(d36_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => k24_glib_001(A) = a_1_3_glib_001(A) ) )).

fof(d37_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => k25_glib_001(A) = a_1_4_glib_001(A) ) )).

fof(d38_glib_001,axiom,(
    ! [A] :
      ( ( v1_glib_000(A)
        & m1_glib_000(A) )
     => k26_glib_001(A) = a_1_5_glib_001(A) ) )).

fof(fraenkel_a_1_0_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(B)
        & m1_glib_000(B) )
     => ( r2_hidden(A,a_1_0_glib_001(B))
      <=> ? [C] :
            ( m3_glib_001(C,B)
            & A = C ) ) ) )).

fof(fraenkel_a_1_1_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(B)
        & m1_glib_000(B) )
     => ( r2_hidden(A,a_1_1_glib_001(B))
      <=> ? [C] :
            ( v4_glib_001(C,B)
            & m3_glib_001(C,B)
            & A = C ) ) ) )).

fof(fraenkel_a_1_2_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(B)
        & m1_glib_000(B) )
     => ( r2_hidden(A,a_1_2_glib_001(B))
      <=> ? [C] :
            ( v5_glib_001(C,B)
            & m3_glib_001(C,B)
            & A = C ) ) ) )).

fof(fraenkel_a_1_3_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(B)
        & m1_glib_000(B) )
     => ( r2_hidden(A,a_1_3_glib_001(B))
      <=> ? [C] :
            ( v2_glib_001(C,B)
            & m3_glib_001(C,B)
            & A = C ) ) ) )).

fof(fraenkel_a_1_4_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(B)
        & m1_glib_000(B) )
     => ( r2_hidden(A,a_1_4_glib_001(B))
      <=> ? [C] :
            ( v2_glib_001(C,B)
            & v4_glib_001(C,B)
            & m3_glib_001(C,B)
            & A = C ) ) ) )).

fof(fraenkel_a_1_5_glib_001,axiom,(
    ! [A,B] :
      ( ( v1_glib_000(B)
        & m1_glib_000(B) )
     => ( r2_hidden(A,a_1_5_glib_001(B))
      <=> ? [C] :
            ( v2_glib_001(C,B)
            & v5_glib_001(C,B)
            & m3_glib_001(C,B)
            & A = C ) ) ) )).
%------------------------------------------------------------------------------