SET007 Axioms: SET007+727.ax


%------------------------------------------------------------------------------
% File     : SET007+727 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : Automatic Generation of Mizar Documentation for Circuits
% 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    : circcmb3 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :  148 (   8 unit)
%            Number of atoms       : 1624 ( 178 equality)
%            Maximal formula depth :   30 (  11 average)
%            Number of connectives : 1738 ( 262 ~  ;  25  |; 906  &)
%                                         (  20 <=>; 525 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   58 (   1 propositional; 0-4 arity)
%            Number of functors    :  155 (  87 constant; 0-5 arity)
%            Number of variables   :  621 (   1 singleton; 585 !;  36 ?)
%            Maximal term depth    :    6 (   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(cc1_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( l3_msualg_1(B,A)
         => ( ( v5_msualg_1(B,A)
              & v4_msafree2(B,A)
              & v3_circcmb3(B,A) )
           => ( v5_msualg_1(B,A)
              & v4_msafree2(B,A)
              & v2_circcmb3(B,A) ) ) ) ) )).

fof(fc1_circcmb3,axiom,(
    ! [A,B] :
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A) )
     => ( ~ v3_struct_0(k7_circcomb(B,A))
        & v6_group_1(k7_circcomb(B,A))
        & v1_msualg_1(k7_circcomb(B,A))
        & ~ v2_msualg_1(k7_circcomb(B,A))
        & v2_msafree2(k7_circcomb(B,A))
        & v1_circcomb(k7_circcomb(B,A))
        & v2_circcomb(k7_circcomb(B,A)) ) ) )).

fof(cc2_circcmb3,axiom,(
    ! [A] :
      ( l1_msualg_1(A)
     => ( v4_circcmb3(A)
       => ( ~ v3_struct_0(A)
          & v6_group_1(A)
          & v1_msualg_1(A)
          & ~ v2_msualg_1(A)
          & v2_msafree2(A)
          & v1_circcomb(A)
          & v2_circcomb(A) ) ) ) )).

fof(cc3_circcmb3,axiom,(
    ! [A] :
      ( l1_msualg_1(A)
     => ( ( ~ v3_struct_0(A)
          & v4_circcmb3(A) )
       => ( ~ v3_struct_0(A)
          & v5_circcomb(A) ) ) ) )).

fof(fc2_circcmb3,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & m1_subset_1(B,k5_numbers)
        & m1_circcomb(C,B)
        & v1_funct_1(D)
        & v1_funct_2(D,k4_finseq_2(B,A),A)
        & m1_relset_1(D,k4_finseq_2(B,A),A) )
     => ( ~ v3_struct_0(k7_circcomb(D,C))
        & v6_group_1(k7_circcomb(D,C))
        & v1_msualg_1(k7_circcomb(D,C))
        & ~ v2_msualg_1(k7_circcomb(D,C))
        & v2_msafree2(k7_circcomb(D,C))
        & v1_circcomb(k7_circcomb(D,C))
        & v2_circcomb(k7_circcomb(D,C))
        & v5_circcomb(k7_circcomb(D,C))
        & v4_circcmb3(k7_circcomb(D,C)) ) ) )).

fof(rc1_circcmb3,axiom,(
    ? [A] :
      ( l1_msualg_1(A)
      & ~ v3_struct_0(A)
      & v6_group_1(A)
      & v1_msualg_1(A)
      & ~ v2_msualg_1(A)
      & v2_msafree2(A)
      & v1_circcomb(A)
      & v2_circcomb(A)
      & v5_circcomb(A)
      & v4_circcmb3(A) ) )).

fof(cc4_circcmb3,axiom,(
    ! [A] :
      ( ( v4_circcmb3(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( l3_msualg_1(B,A)
         => ( ( v4_msafree2(B,A)
              & v5_circcmb3(B,A) )
           => ( v4_msualg_1(B,A)
              & v5_msualg_1(B,A)
              & v4_msafree2(B,A) ) ) ) ) )).

fof(fc3_circcmb3,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & m1_subset_1(B,k5_numbers)
        & m1_circcomb(C,B)
        & v1_funct_1(D)
        & v1_funct_2(D,k4_finseq_2(B,A),A)
        & m1_relset_1(D,k4_finseq_2(B,A),A) )
     => ( v4_msualg_1(k9_circcomb(B,A,D,C),k7_circcomb(D,C))
        & v5_msualg_1(k9_circcomb(B,A,D,C),k7_circcomb(D,C))
        & v3_msafree2(k9_circcomb(B,A,D,C),k7_circcomb(D,C))
        & v4_msafree2(k9_circcomb(B,A,D,C),k7_circcomb(D,C))
        & v4_circcomb(k9_circcomb(B,A,D,C),k7_circcomb(D,C))
        & v5_circcmb3(k9_circcomb(B,A,D,C),k7_circcomb(D,C)) ) ) )).

fof(rc2_circcmb3,axiom,(
    ! [A] :
      ( ( v4_circcmb3(A)
        & l1_msualg_1(A) )
     => ? [B] :
          ( l3_msualg_1(B,A)
          & v4_msualg_1(B,A)
          & v5_msualg_1(B,A)
          & v4_msafree2(B,A)
          & v5_circcmb3(B,A) ) ) )).

fof(fc4_circcmb3,axiom,(
    ! [A] :
      ( ( v4_circcmb3(A)
        & l1_msualg_1(A) )
     => ( ~ v1_xboole_0(k5_circcmb3(A))
        & v1_facirc_1(k5_circcmb3(A)) ) ) )).

fof(cc5_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( l3_msualg_1(B,A)
         => ( ( v5_msualg_1(B,A)
              & v4_msafree2(B,A)
              & v5_circcmb3(B,A) )
           => ( v5_msualg_1(B,A)
              & v4_msafree2(B,A)
              & v2_circcmb3(B,A)
              & v3_circcmb3(B,A) ) ) ) ) )).

fof(rc3_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A) )
     => ? [B] :
          ( m1_circcmb3(B,A)
          & ~ v3_struct_0(B)
          & v6_group_1(B)
          & v1_msualg_1(B)
          & ~ v2_msualg_1(B)
          & v2_msafree2(B)
          & v1_circcomb(B)
          & v2_circcomb(B)
          & v5_circcomb(B)
          & v4_circcmb3(B) ) ) )).

fof(cc6_circcmb3,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & m1_circcmb3(B,A) )
     => ! [C] :
          ( m2_circcmb3(C,A,B)
         => ( v5_msualg_1(C,B)
            & v4_circcomb(C,B) ) ) ) )).

fof(rc4_circcmb3,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & v4_circcmb3(B)
        & m1_circcmb3(B,A) )
     => ? [C] :
          ( m2_circcmb3(C,A,B)
          & v4_msualg_1(C,B)
          & v5_msualg_1(C,B)
          & v4_msafree2(C,B)
          & v4_circcomb(C,B)
          & v2_circcmb3(C,B)
          & v3_circcmb3(C,B)
          & v5_circcmb3(C,B) ) ) )).

fof(rc5_circcmb3,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & m1_circcmb3(B,A) )
     => ? [C] :
          ( m2_circcmb3(C,A,B)
          & v4_msualg_1(C,B)
          & v5_msualg_1(C,B)
          & v4_msafree2(C,B)
          & v4_circcomb(C,B) ) ) )).

fof(fc5_circcmb3,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v6_group_1(A)
        & l1_msualg_1(A)
        & ~ v3_struct_0(B)
        & v6_group_1(B)
        & l1_msualg_1(B) )
     => ( ~ v3_struct_0(k3_circcomb(A,B))
        & v6_group_1(k3_circcomb(A,B))
        & v1_msualg_1(k3_circcomb(A,B)) ) ) )).

fof(fc6_circcmb3,axiom,(
    ! [A,B,C] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & m1_circcmb3(B,A)
        & m1_circcmb3(C,A) )
     => ( ~ v3_struct_0(k3_circcomb(B,C))
        & v1_msualg_1(k3_circcomb(B,C))
        & ~ v2_msualg_1(k3_circcomb(B,C))
        & v2_msafree2(k3_circcomb(B,C))
        & v1_circcomb(k3_circcomb(B,C))
        & v2_circcomb(k3_circcomb(B,C))
        & v5_circcomb(k3_circcomb(B,C)) ) ) )).

fof(cc7_circcmb3,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & v6_group_1(B)
        & m1_circcmb3(B,A) )
     => ! [C] :
          ( m2_circcmb3(C,A,B)
         => ( v5_msualg_1(C,B)
            & v4_circcomb(C,B)
            & v3_circcmb3(C,B) ) ) ) )).

fof(fc7_circcmb3,axiom,
    ( ~ v1_xboole_0(k5_ordinal2)
    & v1_ordinal1(k5_ordinal2)
    & v2_ordinal1(k5_ordinal2)
    & v3_ordinal1(k5_ordinal2)
    & v1_membered(k5_ordinal2)
    & v2_membered(k5_ordinal2)
    & v3_membered(k5_ordinal2)
    & v4_membered(k5_ordinal2)
    & v5_membered(k5_ordinal2)
    & ~ v2_facirc_1(k5_ordinal2) )).

fof(cc8_circcmb3,axiom,(
    ! [A] :
      ( ~ v2_facirc_1(A)
     => ! [B] :
          ( m1_subset_1(B,k1_zfmisc_1(A))
         => ~ v2_facirc_1(B) ) ) )).

fof(cc9_circcmb3,axiom,(
    ! [A] :
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v7_seqm_3(A) )
     => ( v1_relat_1(A)
        & v1_funct_1(A)
        & v3_facirc_1(A) ) ) )).

fof(cc10_circcmb3,axiom,(
    ! [A] :
      ( m1_finseq_1(A,k5_numbers)
     => v7_seqm_3(A) ) )).

fof(rc6_circcmb3,axiom,(
    ? [A] :
      ( v1_relat_1(A)
      & v1_funct_1(A)
      & v2_funct_1(A)
      & v1_finset_1(A)
      & v1_finseq_1(A)
      & v3_facirc_1(A)
      & v7_seqm_3(A) ) )).

fof(rc7_circcmb3,axiom,(
    ! [A] :
      ( m1_subset_1(A,k5_numbers)
     => ? [B] :
          ( m1_circcomb(B,A)
          & v1_relat_1(B)
          & v1_funct_1(B)
          & v2_funct_1(B)
          & v1_finset_1(B)
          & v1_finseq_1(B)
          & v3_facirc_1(B)
          & v7_seqm_3(B) ) ) )).

fof(fc8_circcmb3,axiom,(
    ! [A,B] :
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v1_finseq_1(A)
        & v3_facirc_1(A) )
     => ( ~ v3_struct_0(k7_circcomb(B,A))
        & v6_group_1(k7_circcomb(B,A))
        & v1_msualg_1(k7_circcomb(B,A))
        & ~ v2_msualg_1(k7_circcomb(B,A))
        & v2_msafree2(k7_circcomb(B,A))
        & v1_circcomb(k7_circcomb(B,A))
        & v2_circcomb(k7_circcomb(B,A))
        & v6_circcmb3(k7_circcomb(B,A)) ) ) )).

fof(rc8_circcmb3,axiom,(
    ? [A] :
      ( l1_msualg_1(A)
      & ~ v3_struct_0(A)
      & v6_group_1(A)
      & v1_msualg_1(A)
      & ~ v2_msualg_1(A)
      & v2_msafree2(A)
      & v1_circcomb(A)
      & v2_circcomb(A)
      & v5_circcomb(A)
      & v4_circcmb3(A)
      & v6_circcmb3(A) ) )).

fof(rc9_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A) )
     => ? [B] :
          ( m1_circcmb3(B,A)
          & ~ v3_struct_0(B)
          & v6_group_1(B)
          & v1_msualg_1(B)
          & ~ v2_msualg_1(B)
          & v2_msafree2(B)
          & v1_circcomb(B)
          & v2_circcomb(B)
          & v5_circcomb(B)
          & v4_circcmb3(B)
          & v6_circcmb3(B) ) ) )).

fof(fc9_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v6_circcmb3(A)
        & l1_msualg_1(A) )
     => ~ v2_facirc_1(k2_msafree2(A)) ) )).

fof(fc10_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v1_circcomb(A)
        & v2_circcomb(A)
        & l1_msualg_1(A) )
     => v1_relat_1(k3_msafree2(A)) ) )).

fof(fc11_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v1_circcomb(A)
        & v5_circcomb(A)
        & l1_msualg_1(A) )
     => v1_relat_1(k3_msafree2(A)) ) )).

fof(fc12_circcmb3,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & v1_circcomb(A)
        & v2_circcomb(A)
        & v6_circcmb3(A)
        & l1_msualg_1(A)
        & ~ v3_struct_0(B)
        & v1_circcomb(B)
        & v2_circcomb(B)
        & v6_circcmb3(B)
        & l1_msualg_1(B) )
     => ( ~ v3_struct_0(k3_circcomb(A,B))
        & v1_msualg_1(k3_circcomb(A,B))
        & v2_msafree2(k3_circcomb(A,B))
        & v1_circcomb(k3_circcomb(A,B))
        & v2_circcomb(k3_circcomb(A,B))
        & v6_circcmb3(k3_circcomb(A,B)) ) ) )).

fof(fc13_circcmb3,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & v6_circcmb3(B)
        & m1_circcmb3(B,A)
        & m1_subset_1(C,u1_struct_0(B))
        & v1_funct_1(D)
        & v1_funct_2(D,k4_finseq_2(np__1,A),A)
        & m1_relset_1(D,k4_finseq_2(np__1,A),A) )
     => ( ~ v3_struct_0(k3_circcomb(B,k7_circcomb(D,k13_binarith(u1_struct_0(B),C))))
        & v1_msualg_1(k3_circcomb(B,k7_circcomb(D,k13_binarith(u1_struct_0(B),C))))
        & ~ v2_msualg_1(k3_circcomb(B,k7_circcomb(D,k13_binarith(u1_struct_0(B),C))))
        & v2_msafree2(k3_circcomb(B,k7_circcomb(D,k13_binarith(u1_struct_0(B),C))))
        & v1_circcomb(k3_circcomb(B,k7_circcomb(D,k13_binarith(u1_struct_0(B),C))))
        & v2_circcomb(k3_circcomb(B,k7_circcomb(D,k13_binarith(u1_struct_0(B),C))))
        & v6_circcmb3(k3_circcomb(B,k7_circcomb(D,k13_binarith(u1_struct_0(B),C)))) ) ) )).

fof(fc14_circcmb3,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & v6_circcmb3(B)
        & m1_circcmb3(B,A)
        & ~ v1_facirc_1(C)
        & v1_funct_1(D)
        & v1_funct_2(D,k4_finseq_2(np__1,A),A)
        & m1_relset_1(D,k4_finseq_2(np__1,A),A) )
     => ( ~ v3_struct_0(k3_circcomb(B,k6_circcmb3(np__1,A,D,k5_facirc_1(C))))
        & v1_msualg_1(k3_circcomb(B,k6_circcmb3(np__1,A,D,k5_facirc_1(C))))
        & ~ v2_msualg_1(k3_circcomb(B,k6_circcmb3(np__1,A,D,k5_facirc_1(C))))
        & v2_msafree2(k3_circcomb(B,k6_circcmb3(np__1,A,D,k5_facirc_1(C))))
        & v1_circcomb(k3_circcomb(B,k6_circcmb3(np__1,A,D,k5_facirc_1(C))))
        & v2_circcomb(k3_circcomb(B,k6_circcmb3(np__1,A,D,k5_facirc_1(C))))
        & v5_circcomb(k3_circcomb(B,k6_circcmb3(np__1,A,D,k5_facirc_1(C))))
        & v6_circcmb3(k3_circcomb(B,k6_circcmb3(np__1,A,D,k5_facirc_1(C)))) ) ) )).

fof(fc15_circcmb3,axiom,(
    ! [A,B,C,D,E] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & v6_circcmb3(B)
        & m1_circcmb3(B,A)
        & m1_subset_1(C,u1_struct_0(B))
        & ~ v1_facirc_1(D)
        & v1_funct_1(E)
        & v1_funct_2(E,k4_finseq_2(np__2,A),A)
        & m1_relset_1(E,k4_finseq_2(np__2,A),A) )
     => ( ~ v3_struct_0(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(C,D))))
        & v1_msualg_1(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(C,D))))
        & ~ v2_msualg_1(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(C,D))))
        & v2_msafree2(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(C,D))))
        & v1_circcomb(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(C,D))))
        & v2_circcomb(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(C,D))))
        & v5_circcomb(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(C,D))))
        & v6_circcmb3(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(C,D)))) ) ) )).

fof(fc16_circcmb3,axiom,(
    ! [A,B,C,D,E] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & v6_circcmb3(B)
        & m1_circcmb3(B,A)
        & m1_subset_1(C,u1_struct_0(B))
        & ~ v1_facirc_1(D)
        & v1_funct_1(E)
        & v1_funct_2(E,k4_finseq_2(np__2,A),A)
        & m1_relset_1(E,k4_finseq_2(np__2,A),A) )
     => ( ~ v3_struct_0(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(D,C))))
        & v1_msualg_1(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(D,C))))
        & ~ v2_msualg_1(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(D,C))))
        & v2_msafree2(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(D,C))))
        & v1_circcomb(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(D,C))))
        & v2_circcomb(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(D,C))))
        & v5_circcomb(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(D,C))))
        & v6_circcmb3(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(D,C)))) ) ) )).

fof(fc17_circcmb3,axiom,(
    ! [A,B,C,D,E] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & v6_circcmb3(B)
        & m1_circcmb3(B,A)
        & m1_subset_1(C,u1_struct_0(B))
        & m1_subset_1(D,u1_struct_0(B))
        & v1_funct_1(E)
        & v1_funct_2(E,k4_finseq_2(np__2,A),A)
        & m1_relset_1(E,k4_finseq_2(np__2,A),A) )
     => ( ~ v3_struct_0(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(C,D))))
        & v1_msualg_1(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(C,D))))
        & ~ v2_msualg_1(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(C,D))))
        & v2_msafree2(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(C,D))))
        & v1_circcomb(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(C,D))))
        & v2_circcomb(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(C,D))))
        & v5_circcomb(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(C,D))))
        & v6_circcmb3(k3_circcomb(B,k6_circcmb3(np__2,A,E,k6_facirc_1(C,D)))) ) ) )).

fof(fc18_circcmb3,axiom,(
    ! [A,B,C,D,E,F] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & v6_circcmb3(B)
        & m1_circcmb3(B,A)
        & m1_subset_1(C,u1_struct_0(B))
        & m1_subset_1(D,u1_struct_0(B))
        & ~ v1_facirc_1(E)
        & v1_funct_1(F)
        & v1_funct_2(F,k4_finseq_2(np__3,A),A)
        & m1_relset_1(F,k4_finseq_2(np__3,A),A) )
     => ( ~ v3_struct_0(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E))))
        & v1_msualg_1(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E))))
        & ~ v2_msualg_1(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E))))
        & v2_msafree2(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E))))
        & v1_circcomb(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E))))
        & v2_circcomb(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E))))
        & v5_circcomb(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E))))
        & v6_circcmb3(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E)))) ) ) )).

fof(fc19_circcmb3,axiom,(
    ! [A,B,C,D,E,F] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & v6_circcmb3(B)
        & m1_circcmb3(B,A)
        & m1_subset_1(C,u1_struct_0(B))
        & m1_subset_1(D,u1_struct_0(B))
        & ~ v1_facirc_1(E)
        & v1_funct_1(F)
        & v1_funct_2(F,k4_finseq_2(np__3,A),A)
        & m1_relset_1(F,k4_finseq_2(np__3,A),A) )
     => ( ~ v3_struct_0(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,E,D))))
        & v1_msualg_1(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,E,D))))
        & ~ v2_msualg_1(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,E,D))))
        & v2_msafree2(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,E,D))))
        & v1_circcomb(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,E,D))))
        & v2_circcomb(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,E,D))))
        & v5_circcomb(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,E,D))))
        & v6_circcmb3(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,E,D)))) ) ) )).

fof(fc20_circcmb3,axiom,(
    ! [A,B,C,D,E,F] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & v6_circcmb3(B)
        & m1_circcmb3(B,A)
        & m1_subset_1(C,u1_struct_0(B))
        & m1_subset_1(D,u1_struct_0(B))
        & ~ v1_facirc_1(E)
        & v1_funct_1(F)
        & v1_funct_2(F,k4_finseq_2(np__3,A),A)
        & m1_relset_1(F,k4_finseq_2(np__3,A),A) )
     => ( ~ v3_struct_0(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(E,C,D))))
        & v1_msualg_1(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(E,C,D))))
        & ~ v2_msualg_1(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(E,C,D))))
        & v2_msafree2(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(E,C,D))))
        & v1_circcomb(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(E,C,D))))
        & v2_circcomb(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(E,C,D))))
        & v5_circcomb(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(E,C,D))))
        & v6_circcmb3(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(E,C,D)))) ) ) )).

fof(fc21_circcmb3,axiom,(
    ! [A,B,C,D,E,F] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & v6_circcmb3(B)
        & m1_circcmb3(B,A)
        & m1_subset_1(C,u1_struct_0(B))
        & ~ v1_facirc_1(D)
        & ~ v1_facirc_1(E)
        & v1_funct_1(F)
        & v1_funct_2(F,k4_finseq_2(np__3,A),A)
        & m1_relset_1(F,k4_finseq_2(np__3,A),A) )
     => ( ~ v3_struct_0(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E))))
        & v1_msualg_1(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E))))
        & ~ v2_msualg_1(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E))))
        & v2_msafree2(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E))))
        & v1_circcomb(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E))))
        & v2_circcomb(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E))))
        & v5_circcomb(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E))))
        & v6_circcmb3(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E)))) ) ) )).

fof(fc22_circcmb3,axiom,(
    ! [A,B,C,D,E,F] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & v6_circcmb3(B)
        & m1_circcmb3(B,A)
        & m1_subset_1(C,u1_struct_0(B))
        & ~ v1_facirc_1(D)
        & ~ v1_facirc_1(E)
        & v1_funct_1(F)
        & v1_funct_2(F,k4_finseq_2(np__3,A),A)
        & m1_relset_1(F,k4_finseq_2(np__3,A),A) )
     => ( ~ v3_struct_0(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(D,C,E))))
        & v1_msualg_1(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(D,C,E))))
        & ~ v2_msualg_1(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(D,C,E))))
        & v2_msafree2(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(D,C,E))))
        & v1_circcomb(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(D,C,E))))
        & v2_circcomb(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(D,C,E))))
        & v5_circcomb(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(D,C,E))))
        & v6_circcmb3(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(D,C,E)))) ) ) )).

fof(fc23_circcmb3,axiom,(
    ! [A,B,C,D,E,F] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & v6_circcmb3(B)
        & m1_circcmb3(B,A)
        & m1_subset_1(C,u1_struct_0(B))
        & ~ v1_facirc_1(D)
        & ~ v1_facirc_1(E)
        & v1_funct_1(F)
        & v1_funct_2(F,k4_finseq_2(np__3,A),A)
        & m1_relset_1(F,k4_finseq_2(np__3,A),A) )
     => ( ~ v3_struct_0(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(D,E,C))))
        & v1_msualg_1(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(D,E,C))))
        & ~ v2_msualg_1(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(D,E,C))))
        & v2_msafree2(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(D,E,C))))
        & v1_circcomb(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(D,E,C))))
        & v2_circcomb(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(D,E,C))))
        & v5_circcomb(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(D,E,C))))
        & v6_circcmb3(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(D,E,C)))) ) ) )).

fof(fc24_circcmb3,axiom,(
    ! [A,B,C,D,E,F] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & v6_circcmb3(B)
        & m1_circcmb3(B,A)
        & m1_subset_1(C,u1_struct_0(B))
        & m1_subset_1(D,u1_struct_0(B))
        & m1_subset_1(E,u1_struct_0(B))
        & v1_funct_1(F)
        & v1_funct_2(F,k4_finseq_2(np__3,A),A)
        & m1_relset_1(F,k4_finseq_2(np__3,A),A) )
     => ( ~ v3_struct_0(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E))))
        & v1_msualg_1(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E))))
        & ~ v2_msualg_1(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E))))
        & v2_msafree2(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E))))
        & v1_circcomb(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E))))
        & v2_circcomb(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E))))
        & v5_circcomb(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E))))
        & v6_circcmb3(k3_circcomb(B,k6_circcmb3(np__3,A,F,k7_facirc_1(C,D,E)))) ) ) )).

fof(t1_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => ! [D] :
                  ( r2_hidden(D,k2_msafree2(A))
                 => ! [E] :
                      ( m2_subset_1(E,k1_numbers,k5_numbers)
                     => k1_funct_1(k9_facirc_1(A,B,C,E),D) = k1_funct_1(C,D) ) ) ) ) ) )).

fof(d1_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => ( v1_circcmb3(C,A,B)
              <=> ? [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                    & v1_circuit2(k9_facirc_1(A,B,C,D),A,B) ) ) ) ) ) )).

fof(d2_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ( v2_circcmb3(B,A)
          <=> ! [C] :
                ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
               => v1_circcmb3(C,A,B) ) ) ) ) )).

fof(d3_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ( v3_circcmb3(B,A)
          <=> ? [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
                & ! [D] :
                    ( m1_subset_1(D,k4_card_3(u4_msualg_1(A,B)))
                   => v1_circuit2(k9_facirc_1(A,B,D,C),A,B) ) ) ) ) ) )).

fof(d4_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => ( v1_circcmb3(C,A,B)
               => ! [D] :
                    ( m1_subset_1(D,k4_card_3(u4_msualg_1(A,B)))
                   => ( D = k1_circcmb3(A,B,C)
                    <=> ( v1_circuit2(D,A,B)
                        & ? [E] :
                            ( m2_subset_1(E,k1_numbers,k5_numbers)
                            & D = k9_facirc_1(A,B,C,E) ) ) ) ) ) ) ) ) )).

fof(d5_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => ( v1_circcmb3(C,A,B)
               => ! [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => ( D = k2_circcmb3(A,B,C)
                    <=> ( v1_circuit2(k9_facirc_1(A,B,C,D),A,B)
                        & ! [E] :
                            ( m2_subset_1(E,k1_numbers,k5_numbers)
                           => ~ ( ~ r1_xreal_0(D,E)
                                & v1_circuit2(k9_facirc_1(A,B,C,E),A,B) ) ) ) ) ) ) ) ) ) )).

fof(t2_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => ( v1_circcmb3(C,A,B)
               => k1_circcmb3(A,B,C) = k9_facirc_1(A,B,C,k2_circcmb3(A,B,C)) ) ) ) ) )).

fof(t3_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ( v1_circuit2(k9_facirc_1(A,B,C,D),A,B)
                   => r1_xreal_0(k2_circcmb3(A,B,C),D) ) ) ) ) ) )).

fof(t4_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ( v1_circuit2(k9_facirc_1(A,B,C,D),A,B)
                   => k1_circcmb3(A,B,C) = k9_facirc_1(A,B,C,D) ) ) ) ) ) )).

fof(t5_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ( ( v1_circcmb3(C,A,B)
                      & r1_xreal_0(k2_circcmb3(A,B,C),D) )
                   => k1_circcmb3(A,B,C) = k9_facirc_1(A,B,C,D) ) ) ) ) ) )).

fof(t6_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => ( v1_circcmb3(C,A,B)
               => ! [D] :
                    ( r2_hidden(D,k2_msafree2(A))
                   => k1_funct_1(k1_circcmb3(A,B,C),D) = k1_funct_1(C,D) ) ) ) ) ) )).

fof(t7_circcmb3,axiom,(
    $true )).

fof(t8_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & ~ v2_msualg_1(B)
            & v2_msafree2(B)
            & l1_msualg_1(B) )
         => ( ( r1_xboole_0(k2_msafree2(A),k4_msafree2(B))
              & r1_xboole_0(k2_msafree2(B),k4_msafree2(A)) )
           => ! [C] :
                ( ( ~ v3_struct_0(C)
                  & ~ v2_msualg_1(C)
                  & v2_msafree2(C)
                  & l1_msualg_1(C) )
               => ( C = k3_circcomb(A,B)
                 => ! [D] :
                      ( ( v5_msualg_1(D,A)
                        & v4_msafree2(D,A)
                        & l3_msualg_1(D,A) )
                     => ! [E] :
                          ( ( v5_msualg_1(E,B)
                            & v4_msafree2(E,B)
                            & l3_msualg_1(E,B) )
                         => ( r2_circcomb(A,B,D,E)
                           => ! [F] :
                                ( ( v5_msualg_1(F,C)
                                  & v4_msafree2(F,C)
                                  & l3_msualg_1(F,C) )
                               => ( F = k4_circcomb(A,B,D,E)
                                 => ! [G] :
                                      ( m1_subset_1(G,k4_card_3(u4_msualg_1(C,F)))
                                     => ! [H] :
                                          ( m1_subset_1(H,k4_card_3(u4_msualg_1(A,D)))
                                         => ! [I] :
                                              ( m1_subset_1(I,k4_card_3(u4_msualg_1(B,E)))
                                             => ( ( H = k7_relat_1(G,u1_struct_0(A))
                                                  & I = k7_relat_1(G,u1_struct_0(B))
                                                  & v1_circcmb3(H,A,D)
                                                  & v1_circcmb3(I,B,E) )
                                               => v1_circcmb3(G,C,F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t9_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & ~ v2_msualg_1(B)
            & v2_msafree2(B)
            & l1_msualg_1(B) )
         => ( ( r1_xboole_0(k2_msafree2(A),k4_msafree2(B))
              & r1_xboole_0(k2_msafree2(B),k4_msafree2(A)) )
           => ! [C] :
                ( ( ~ v3_struct_0(C)
                  & ~ v2_msualg_1(C)
                  & v2_msafree2(C)
                  & l1_msualg_1(C) )
               => ( C = k3_circcomb(A,B)
                 => ! [D] :
                      ( ( v5_msualg_1(D,A)
                        & v4_msafree2(D,A)
                        & l3_msualg_1(D,A) )
                     => ! [E] :
                          ( ( v5_msualg_1(E,B)
                            & v4_msafree2(E,B)
                            & l3_msualg_1(E,B) )
                         => ( r2_circcomb(A,B,D,E)
                           => ! [F] :
                                ( ( v5_msualg_1(F,C)
                                  & v4_msafree2(F,C)
                                  & l3_msualg_1(F,C) )
                               => ( F = k4_circcomb(A,B,D,E)
                                 => ! [G] :
                                      ( m1_subset_1(G,k4_card_3(u4_msualg_1(C,F)))
                                     => ! [H] :
                                          ( m1_subset_1(H,k4_card_3(u4_msualg_1(A,D)))
                                         => ( ( H = k7_relat_1(G,u1_struct_0(A))
                                              & v1_circcmb3(H,A,D) )
                                           => ! [I] :
                                                ( m1_subset_1(I,k4_card_3(u4_msualg_1(B,E)))
                                               => ( ( I = k7_relat_1(G,u1_struct_0(B))
                                                    & v1_circcmb3(I,B,E) )
                                                 => k2_circcmb3(C,F,G) = k1_limfunc1(k2_circcmb3(A,D,H),k2_circcmb3(B,E,I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t10_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & ~ v2_msualg_1(B)
            & v2_msafree2(B)
            & l1_msualg_1(B) )
         => ( r1_xboole_0(k2_msafree2(A),k4_msafree2(B))
           => ! [C] :
                ( ( ~ v3_struct_0(C)
                  & ~ v2_msualg_1(C)
                  & v2_msafree2(C)
                  & l1_msualg_1(C) )
               => ( C = k3_circcomb(A,B)
                 => ! [D] :
                      ( ( v5_msualg_1(D,A)
                        & v4_msafree2(D,A)
                        & l3_msualg_1(D,A) )
                     => ! [E] :
                          ( ( v5_msualg_1(E,B)
                            & v4_msafree2(E,B)
                            & l3_msualg_1(E,B) )
                         => ( r2_circcomb(A,B,D,E)
                           => ! [F] :
                                ( ( v5_msualg_1(F,C)
                                  & v4_msafree2(F,C)
                                  & l3_msualg_1(F,C) )
                               => ( F = k4_circcomb(A,B,D,E)
                                 => ! [G] :
                                      ( m1_subset_1(G,k4_card_3(u4_msualg_1(C,F)))
                                     => ! [H] :
                                          ( m1_subset_1(H,k4_card_3(u4_msualg_1(A,D)))
                                         => ( ( H = k7_relat_1(G,u1_struct_0(A))
                                              & v1_circcmb3(H,A,D) )
                                           => ! [I] :
                                                ( m1_subset_1(I,k4_card_3(u4_msualg_1(B,E)))
                                               => ( ( I = k7_relat_1(k9_facirc_1(C,F,G,k2_circcmb3(A,D,H)),u1_struct_0(B))
                                                    & v1_circcmb3(I,B,E) )
                                                 => v1_circcmb3(G,C,F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t11_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & ~ v2_msualg_1(B)
            & v2_msafree2(B)
            & l1_msualg_1(B) )
         => ( r1_xboole_0(k2_msafree2(A),k4_msafree2(B))
           => ! [C] :
                ( ( ~ v3_struct_0(C)
                  & ~ v2_msualg_1(C)
                  & v2_msafree2(C)
                  & l1_msualg_1(C) )
               => ( C = k3_circcomb(A,B)
                 => ! [D] :
                      ( ( v5_msualg_1(D,A)
                        & v4_msafree2(D,A)
                        & l3_msualg_1(D,A) )
                     => ! [E] :
                          ( ( v5_msualg_1(E,B)
                            & v4_msafree2(E,B)
                            & l3_msualg_1(E,B) )
                         => ( r2_circcomb(A,B,D,E)
                           => ! [F] :
                                ( ( v5_msualg_1(F,C)
                                  & v4_msafree2(F,C)
                                  & l3_msualg_1(F,C) )
                               => ( F = k4_circcomb(A,B,D,E)
                                 => ! [G] :
                                      ( m1_subset_1(G,k4_card_3(u4_msualg_1(C,F)))
                                     => ! [H] :
                                          ( m1_subset_1(H,k4_card_3(u4_msualg_1(A,D)))
                                         => ( ( H = k7_relat_1(G,u1_struct_0(A))
                                              & v1_circcmb3(H,A,D) )
                                           => ! [I] :
                                                ( m1_subset_1(I,k4_card_3(u4_msualg_1(B,E)))
                                               => ( ( I = k7_relat_1(k9_facirc_1(C,F,G,k2_circcmb3(A,D,H)),u1_struct_0(B))
                                                    & v1_circcmb3(I,B,E) )
                                                 => k2_circcmb3(C,F,G) = k1_nat_1(k2_circcmb3(A,D,H),k2_circcmb3(B,E,I)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t12_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & ~ v2_msualg_1(B)
            & v2_msafree2(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & ~ v2_msualg_1(C)
                & v2_msafree2(C)
                & l1_msualg_1(C) )
             => ( ( r1_xboole_0(k2_msafree2(A),k4_msafree2(B))
                  & C = k3_circcomb(A,B) )
               => ! [D] :
                    ( ( v5_msualg_1(D,A)
                      & v4_msafree2(D,A)
                      & l3_msualg_1(D,A) )
                   => ! [E] :
                        ( ( v5_msualg_1(E,B)
                          & v4_msafree2(E,B)
                          & l3_msualg_1(E,B) )
                       => ! [F] :
                            ( ( v5_msualg_1(F,C)
                              & v4_msafree2(F,C)
                              & l3_msualg_1(F,C) )
                           => ( ( r2_circcomb(A,B,D,E)
                                & F = k4_circcomb(A,B,D,E) )
                             => ! [G] :
                                  ( m1_subset_1(G,k4_card_3(u4_msualg_1(C,F)))
                                 => ! [H] :
                                      ( m1_subset_1(H,k4_card_3(u4_msualg_1(A,D)))
                                     => ( ( H = k7_relat_1(G,u1_struct_0(A))
                                          & v1_circcmb3(H,A,D) )
                                       => ! [I] :
                                            ( m1_subset_1(I,k4_card_3(u4_msualg_1(B,E)))
                                           => ( ( I = k7_relat_1(k9_facirc_1(C,F,G,k2_circcmb3(A,D,H)),u1_struct_0(B))
                                                & v1_circcmb3(I,B,E) )
                                             => k7_relat_1(k1_circcmb3(C,F,G),u1_struct_0(A)) = k1_circcmb3(A,D,H) ) ) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t13_circcmb3,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(B)
        & v1_finset_1(B) )
     => ! [C] :
          ( m2_subset_1(C,k1_numbers,k5_numbers)
         => ! [D] :
              ( m1_circcomb(D,C)
             => ! [E] :
                  ( ( v1_funct_1(E)
                    & v1_funct_2(E,k4_finseq_2(C,B),B)
                    & m2_relset_1(E,k4_finseq_2(C,B),B) )
                 => ! [F] :
                      ( m1_subset_1(F,k4_card_3(u4_msualg_1(k7_circcomb(E,D),k9_circcomb(C,B,E,D))))
                     => m2_finseq_2(k5_relat_1(D,F),B,k4_finseq_2(C,B)) ) ) ) ) ) )).

fof(t14_circcmb3,axiom,(
    ! [A,B,C,D] : k2_relat_1(k1_scmpds_1(A,B,C,D)) = k2_enumset1(A,B,C,D) )).

fof(t15_circcmb3,axiom,(
    ! [A,B,C,D,E] : k2_relat_1(k2_scmpds_1(A,B,C,D,E)) = k3_enumset1(A,B,C,D,E) )).

fof(d6_circcmb3,axiom,(
    ! [A] :
      ( l1_msualg_1(A)
     => ( v4_circcmb3(A)
      <=> ? [B] :
            ( ~ v1_xboole_0(B)
            & v1_finset_1(B)
            & ? [C] :
                ( m2_subset_1(C,k1_numbers,k5_numbers)
                & ? [D] :
                    ( m1_circcomb(D,C)
                    & ? [E] :
                        ( v1_funct_1(E)
                        & v1_funct_2(E,k4_finseq_2(C,B),B)
                        & m2_relset_1(E,k4_finseq_2(C,B),B)
                        & A = k7_circcomb(E,D) ) ) ) ) ) ) )).

fof(d7_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( l3_msualg_1(B,A)
         => ( v5_circcmb3(B,A)
          <=> ? [C] :
                ( ~ v1_xboole_0(C)
                & v1_finset_1(C)
                & ? [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                    & ? [E] :
                        ( m1_circcomb(E,D)
                        & ? [F] :
                            ( v1_funct_1(F)
                            & v1_funct_2(F,k4_finseq_2(D,C),C)
                            & m2_relset_1(F,k4_finseq_2(D,C),C)
                            & A = k7_circcomb(F,E)
                            & B = k9_circcomb(D,C,F,E) ) ) ) ) ) ) ) )).

fof(d8_circcmb3,axiom,(
    ! [A] :
      ( ( v4_circcmb3(A)
        & l1_msualg_1(A) )
     => k5_circcmb3(A) = k3_tarski(u1_msualg_1(A)) ) )).

fof(t16_circcmb3,axiom,(
    ! [A] :
      ( ( v4_circcmb3(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v1_relat_1(B)
            & v1_funct_1(B)
            & v1_finseq_1(B) )
         => ! [C] :
              ( A = k7_circcomb(C,B)
             => k5_circcmb3(A) = k4_tarski(B,C) ) ) ) )).

fof(t17_circcmb3,axiom,(
    ! [A] :
      ( ( v4_circcmb3(A)
        & l1_msualg_1(A) )
     => k4_msafree2(A) = k1_struct_0(A,k5_circcmb3(A)) ) )).

fof(t18_circcmb3,axiom,(
    ! [A] :
      ( ( v4_circcmb3(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v4_msafree2(B,A)
            & v5_circcmb3(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & v1_finset_1(D) )
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,k4_finseq_2(C,D),D)
                        & m2_relset_1(E,k4_finseq_2(C,D),D) )
                     => ! [F] :
                          ( m1_circcomb(F,C)
                         => ( B = k9_circcomb(C,D,E,F)
                           => A = k7_circcomb(E,F) ) ) ) ) ) ) ) )).

fof(t19_circcmb3,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v1_finset_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k4_finseq_2(A,B),B)
                & m2_relset_1(C,k4_finseq_2(A,B),B) )
             => ! [D] :
                  ( m1_circcomb(D,A)
                 => ! [E] :
                      ( m1_subset_1(E,k4_card_3(u4_msualg_1(k7_circcomb(C,D),k9_circcomb(A,B,C,D))))
                     => k1_funct_1(k6_circuit2(k7_circcomb(C,D),k9_circcomb(A,B,C,D),E),k5_circcmb3(k7_circcomb(C,D))) = k1_funct_1(C,k5_relat_1(D,E)) ) ) ) ) ) )).

fof(t20_circcmb3,axiom,(
    ! [A] :
      ( ( v4_circcmb3(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v4_msafree2(B,A)
            & v5_circcmb3(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => v1_circuit2(k6_circuit2(A,B,C),A,B) ) ) ) )).

fof(t21_circcmb3,axiom,(
    ! [A] :
      ( ( v4_circcmb3(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v4_msafree2(B,A)
            & v5_circcmb3(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => k1_circcmb3(A,B,C) = k6_circuit2(A,B,C) ) ) ) )).

fof(t22_circcmb3,axiom,(
    ! [A] :
      ( ( v4_circcmb3(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v4_msafree2(B,A)
            & v5_circcmb3(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => r1_xreal_0(k2_circcmb3(A,B,C),np__1) ) ) ) )).

fof(t23_circcmb3,axiom,(
    ! [A] :
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v5_seqm_3(A) )
     => A = k2_pre_circ(k1_relat_1(A),k1_yellow_6(A)) ) )).

fof(t24_circcmb3,axiom,(
    ! [A] :
      ( ~ v1_xboole_0(A)
     => ! [B] :
          ( ~ v1_xboole_0(B)
         => ! [C] :
              ( m2_subset_1(C,k1_numbers,k5_numbers)
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ( k4_finseq_2(C,A) = k4_finseq_2(D,B)
                   => ( C = np__0
                      | ( A = B
                        & C = D ) ) ) ) ) ) ) )).

fof(t25_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(A))
             => m1_subset_1(C,u1_struct_0(k3_circcomb(A,B))) ) ) ) )).

fof(t26_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( m1_subset_1(C,u1_struct_0(B))
             => m1_subset_1(C,u1_struct_0(k3_circcomb(A,B))) ) ) ) )).

fof(d9_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & ~ v2_msualg_1(B)
            & v1_circcomb(B)
            & v2_circcomb(B)
            & v5_circcomb(B)
            & l1_msualg_1(B) )
         => ( m1_circcmb3(B,A)
          <=> ? [C] :
                ( v4_msafree2(C,B)
                & l3_msualg_1(C,B)
                & v5_seqm_3(u4_msualg_1(B,C))
                & k1_yellow_6(u4_msualg_1(B,C)) = A
                & v4_circcomb(C,B) ) ) ) ) )).

fof(t27_circcmb3,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v1_finset_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k4_finseq_2(A,B),B)
                & m2_relset_1(C,k4_finseq_2(A,B),B) )
             => ! [D] :
                  ( m1_circcomb(D,A)
                 => m1_circcmb3(k7_circcomb(C,D),B) ) ) ) ) )).

fof(d10_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A) )
     => ! [B] :
          ( m1_circcmb3(B,A)
         => ! [C] :
              ( ( v4_msafree2(C,B)
                & l3_msualg_1(C,B) )
             => ( m2_circcmb3(C,A,B)
              <=> ( v4_circcomb(C,B)
                  & v5_seqm_3(u4_msualg_1(B,C))
                  & k1_yellow_6(u4_msualg_1(B,C)) = A ) ) ) ) ) )).

fof(t28_circcmb3,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v1_finset_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k4_finseq_2(A,B),B)
                & m2_relset_1(C,k4_finseq_2(A,B),B) )
             => ! [D] :
                  ( m1_circcomb(D,A)
                 => m2_circcmb3(k9_circcomb(A,B,C,D),B,k6_circcmb3(A,B,C,D)) ) ) ) ) )).

fof(t29_circcmb3,axiom,(
    $true )).

fof(t30_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A) )
     => ! [B] :
          ( m1_circcmb3(B,A)
         => ! [C] :
              ( m1_circcmb3(C,A)
             => ! [D] :
                  ( m2_circcmb3(D,A,B)
                 => ! [E] :
                      ( m2_circcmb3(E,A,C)
                     => r2_circcomb(B,C,D,E) ) ) ) ) ) )).

fof(t31_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A) )
     => ! [B] :
          ( m1_circcmb3(B,A)
         => ! [C] :
              ( m1_circcmb3(C,A)
             => ! [D] :
                  ( m2_circcmb3(D,A,B)
                 => ! [E] :
                      ( m2_circcmb3(E,A,C)
                     => ( v4_msafree2(k4_circcomb(B,C,D,E),k3_circcomb(B,C))
                        & l3_msualg_1(k4_circcomb(B,C,D,E),k3_circcomb(B,C)) ) ) ) ) ) ) )).

fof(t32_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A) )
     => ! [B] :
          ( m1_circcmb3(B,A)
         => ! [C] :
              ( m1_circcmb3(C,A)
             => ! [D] :
                  ( m2_circcmb3(D,A,B)
                 => ! [E] :
                      ( m2_circcmb3(E,A,C)
                     => v4_circcomb(k4_circcomb(B,C,D,E),k3_circcomb(B,C)) ) ) ) ) ) )).

fof(t33_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A) )
     => ! [B] :
          ( m1_circcmb3(B,A)
         => ! [C] :
              ( m1_circcmb3(C,A)
             => ! [D] :
                  ( m2_circcmb3(D,A,B)
                 => ! [E] :
                      ( m2_circcmb3(E,A,C)
                     => ( v5_seqm_3(u4_msualg_1(k3_circcomb(B,C),k4_circcomb(B,C,D,E)))
                        & k1_yellow_6(u4_msualg_1(k3_circcomb(B,C),k4_circcomb(B,C,D,E))) = A ) ) ) ) ) ) )).

fof(t34_circcmb3,axiom,(
    ! [A,B] :
      ( r2_hidden(k6_classes1(A),k6_classes1(k4_tarski(A,B)))
      & r2_hidden(k6_classes1(B),k6_classes1(k4_tarski(A,B))) ) )).

fof(t35_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v6_group_1(A)
        & ~ v2_msualg_1(A)
        & v1_circcomb(A)
        & v2_circcomb(A)
        & v5_circcomb(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ( v4_circcomb(B,A)
           => v3_circcmb3(B,A) ) ) ) )).

fof(t36_circcmb3,axiom,(
    ! [A] :
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B] :
          ( r2_hidden(B,k1_relat_1(A))
         => k5_relat_1(k5_facirc_1(B),A) = k5_facirc_1(k1_funct_1(A,B)) ) ) )).

fof(t37_circcmb3,axiom,(
    ! [A] :
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B,C,D,E] :
          ( ( r2_hidden(B,k1_relat_1(A))
            & r2_hidden(C,k1_relat_1(A))
            & r2_hidden(D,k1_relat_1(A))
            & r2_hidden(E,k1_relat_1(A)) )
         => k5_relat_1(k3_circcmb3(B,C,D,E),A) = k3_circcmb3(k1_funct_1(A,B),k1_funct_1(A,C),k1_funct_1(A,D),k1_funct_1(A,E)) ) ) )).

fof(t38_circcmb3,axiom,(
    ! [A] :
      ( ( v1_relat_1(A)
        & v1_funct_1(A) )
     => ! [B,C,D,E,F] :
          ( ( r2_hidden(B,k1_relat_1(A))
            & r2_hidden(C,k1_relat_1(A))
            & r2_hidden(D,k1_relat_1(A))
            & r2_hidden(E,k1_relat_1(A))
            & r2_hidden(F,k1_relat_1(A)) )
         => k5_relat_1(k4_circcmb3(B,C,D,E,F),A) = k4_circcmb3(k1_funct_1(A,B),k1_funct_1(A,C),k1_funct_1(A,D),k1_funct_1(A,E),k1_funct_1(A,F)) ) ) )).

fof(t39_circcmb3,axiom,(
    ! [A] :
      ( m2_subset_1(A,k1_numbers,k5_numbers)
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v1_finset_1(B) )
         => ! [C] :
              ( ( v1_funct_1(C)
                & v1_funct_2(C,k4_finseq_2(A,B),B)
                & m2_relset_1(C,k4_finseq_2(A,B),B) )
             => ! [D] :
                  ( m1_circcomb(D,A)
                 => ! [E] :
                      ( m1_circcmb3(E,B)
                     => ( r1_tarski(k2_relat_1(D),u1_struct_0(E))
                       => ( r2_hidden(k5_circcmb3(k6_circcmb3(A,B,C,D)),k2_msafree2(E))
                          | k2_msafree2(k8_circcmb3(B,E,k6_circcmb3(A,B,C,D))) = k2_msafree2(E) ) ) ) ) ) ) ) )).

fof(t40_circcmb3,axiom,(
    ! [A,B,C] :
      ( ( ~ v1_xboole_0(C)
        & v1_finset_1(C) )
     => ! [D] :
          ( m2_subset_1(D,k1_numbers,k5_numbers)
         => ! [E] :
              ( ( v1_funct_1(E)
                & v1_funct_2(E,k4_finseq_2(D,C),C)
                & m2_relset_1(E,k4_finseq_2(D,C),C) )
             => ! [F] :
                  ( m1_circcomb(F,D)
                 => ! [G] :
                      ( m1_circcmb3(G,C)
                     => ( ( k2_relat_1(F) = k2_xboole_0(A,B)
                          & r1_tarski(A,u1_struct_0(G))
                          & r1_xboole_0(B,k4_msafree2(G)) )
                       => ( r2_hidden(k5_circcmb3(k6_circcmb3(D,C,E,F)),k2_msafree2(G))
                          | k2_msafree2(k8_circcmb3(C,G,k6_circcmb3(D,C,E,F))) = k2_xboole_0(k2_msafree2(G),B) ) ) ) ) ) ) ) )).

fof(t41_circcmb3,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(B)
        & v1_finset_1(B) )
     => ! [C] :
          ( ( v1_funct_1(C)
            & v1_funct_2(C,k4_finseq_2(np__1,B),B)
            & m2_relset_1(C,k4_finseq_2(np__1,B),B) )
         => ! [D] :
              ( m1_circcmb3(D,B)
             => ( r2_hidden(A,u1_struct_0(D))
               => ( r2_hidden(k5_circcmb3(k6_circcmb3(np__1,B,C,k5_facirc_1(A))),k2_msafree2(D))
                  | k2_msafree2(k8_circcmb3(B,D,k6_circcmb3(np__1,B,C,k5_facirc_1(A)))) = k2_msafree2(D) ) ) ) ) ) )).

fof(t42_circcmb3,axiom,(
    ! [A,B,C] :
      ( ( ~ v1_xboole_0(C)
        & v1_finset_1(C) )
     => ! [D] :
          ( ( v1_funct_1(D)
            & v1_funct_2(D,k4_finseq_2(np__2,C),C)
            & m2_relset_1(D,k4_finseq_2(np__2,C),C) )
         => ! [E] :
              ( m1_circcmb3(E,C)
             => ( r2_hidden(A,u1_struct_0(E))
               => ( r2_hidden(B,k4_msafree2(E))
                  | r2_hidden(k5_circcmb3(k6_circcmb3(np__2,C,D,k6_facirc_1(A,B))),k2_msafree2(E))
                  | k2_msafree2(k8_circcmb3(C,E,k6_circcmb3(np__2,C,D,k6_facirc_1(A,B)))) = k2_xboole_0(k2_msafree2(E),k1_tarski(B)) ) ) ) ) ) )).

fof(t43_circcmb3,axiom,(
    ! [A,B,C] :
      ( ( ~ v1_xboole_0(C)
        & v1_finset_1(C) )
     => ! [D] :
          ( ( v1_funct_1(D)
            & v1_funct_2(D,k4_finseq_2(np__2,C),C)
            & m2_relset_1(D,k4_finseq_2(np__2,C),C) )
         => ! [E] :
              ( m1_circcmb3(E,C)
             => ( r2_hidden(B,u1_struct_0(E))
               => ( r2_hidden(A,k4_msafree2(E))
                  | r2_hidden(k5_circcmb3(k6_circcmb3(np__2,C,D,k6_facirc_1(A,B))),k2_msafree2(E))
                  | k2_msafree2(k8_circcmb3(C,E,k6_circcmb3(np__2,C,D,k6_facirc_1(A,B)))) = k2_xboole_0(k2_msafree2(E),k1_tarski(A)) ) ) ) ) ) )).

fof(t44_circcmb3,axiom,(
    ! [A,B,C] :
      ( ( ~ v1_xboole_0(C)
        & v1_finset_1(C) )
     => ! [D] :
          ( ( v1_funct_1(D)
            & v1_funct_2(D,k4_finseq_2(np__2,C),C)
            & m2_relset_1(D,k4_finseq_2(np__2,C),C) )
         => ! [E] :
              ( m1_circcmb3(E,C)
             => ( ( r2_hidden(A,u1_struct_0(E))
                  & r2_hidden(B,u1_struct_0(E)) )
               => ( r2_hidden(k5_circcmb3(k6_circcmb3(np__2,C,D,k6_facirc_1(A,B))),k2_msafree2(E))
                  | k2_msafree2(k8_circcmb3(C,E,k6_circcmb3(np__2,C,D,k6_facirc_1(A,B)))) = k2_msafree2(E) ) ) ) ) ) )).

fof(t45_circcmb3,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(D)
        & v1_finset_1(D) )
     => ! [E] :
          ( ( v1_funct_1(E)
            & v1_funct_2(E,k4_finseq_2(np__3,D),D)
            & m2_relset_1(E,k4_finseq_2(np__3,D),D) )
         => ! [F] :
              ( m1_circcmb3(F,D)
             => ( r2_hidden(A,u1_struct_0(F))
               => ( r2_hidden(B,k4_msafree2(F))
                  | r2_hidden(C,k4_msafree2(F))
                  | r2_hidden(k5_circcmb3(k6_circcmb3(np__3,D,E,k7_facirc_1(A,B,C))),k2_msafree2(F))
                  | k2_msafree2(k8_circcmb3(D,F,k6_circcmb3(np__3,D,E,k7_facirc_1(A,B,C)))) = k2_xboole_0(k2_msafree2(F),k2_tarski(B,C)) ) ) ) ) ) )).

fof(t46_circcmb3,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(D)
        & v1_finset_1(D) )
     => ! [E] :
          ( ( v1_funct_1(E)
            & v1_funct_2(E,k4_finseq_2(np__3,D),D)
            & m2_relset_1(E,k4_finseq_2(np__3,D),D) )
         => ! [F] :
              ( m1_circcmb3(F,D)
             => ( r2_hidden(B,u1_struct_0(F))
               => ( r2_hidden(A,k4_msafree2(F))
                  | r2_hidden(C,k4_msafree2(F))
                  | r2_hidden(k5_circcmb3(k6_circcmb3(np__3,D,E,k7_facirc_1(A,B,C))),k2_msafree2(F))
                  | k2_msafree2(k8_circcmb3(D,F,k6_circcmb3(np__3,D,E,k7_facirc_1(A,B,C)))) = k2_xboole_0(k2_msafree2(F),k2_tarski(A,C)) ) ) ) ) ) )).

fof(t47_circcmb3,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(D)
        & v1_finset_1(D) )
     => ! [E] :
          ( ( v1_funct_1(E)
            & v1_funct_2(E,k4_finseq_2(np__3,D),D)
            & m2_relset_1(E,k4_finseq_2(np__3,D),D) )
         => ! [F] :
              ( m1_circcmb3(F,D)
             => ( r2_hidden(C,u1_struct_0(F))
               => ( r2_hidden(A,k4_msafree2(F))
                  | r2_hidden(B,k4_msafree2(F))
                  | r2_hidden(k5_circcmb3(k6_circcmb3(np__3,D,E,k7_facirc_1(A,B,C))),k2_msafree2(F))
                  | k2_msafree2(k8_circcmb3(D,F,k6_circcmb3(np__3,D,E,k7_facirc_1(A,B,C)))) = k2_xboole_0(k2_msafree2(F),k2_tarski(A,B)) ) ) ) ) ) )).

fof(t48_circcmb3,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(D)
        & v1_finset_1(D) )
     => ! [E] :
          ( ( v1_funct_1(E)
            & v1_funct_2(E,k4_finseq_2(np__3,D),D)
            & m2_relset_1(E,k4_finseq_2(np__3,D),D) )
         => ! [F] :
              ( m1_circcmb3(F,D)
             => ( ( r2_hidden(A,u1_struct_0(F))
                  & r2_hidden(B,u1_struct_0(F)) )
               => ( r2_hidden(C,k4_msafree2(F))
                  | r2_hidden(k5_circcmb3(k6_circcmb3(np__3,D,E,k7_facirc_1(A,B,C))),k2_msafree2(F))
                  | k2_msafree2(k8_circcmb3(D,F,k6_circcmb3(np__3,D,E,k7_facirc_1(A,B,C)))) = k2_xboole_0(k2_msafree2(F),k1_tarski(C)) ) ) ) ) ) )).

fof(t49_circcmb3,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(D)
        & v1_finset_1(D) )
     => ! [E] :
          ( ( v1_funct_1(E)
            & v1_funct_2(E,k4_finseq_2(np__3,D),D)
            & m2_relset_1(E,k4_finseq_2(np__3,D),D) )
         => ! [F] :
              ( m1_circcmb3(F,D)
             => ( ( r2_hidden(A,u1_struct_0(F))
                  & r2_hidden(C,u1_struct_0(F)) )
               => ( r2_hidden(B,k4_msafree2(F))
                  | r2_hidden(k5_circcmb3(k6_circcmb3(np__3,D,E,k7_facirc_1(A,B,C))),k2_msafree2(F))
                  | k2_msafree2(k8_circcmb3(D,F,k6_circcmb3(np__3,D,E,k7_facirc_1(A,B,C)))) = k2_xboole_0(k2_msafree2(F),k1_tarski(B)) ) ) ) ) ) )).

fof(t50_circcmb3,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(D)
        & v1_finset_1(D) )
     => ! [E] :
          ( ( v1_funct_1(E)
            & v1_funct_2(E,k4_finseq_2(np__3,D),D)
            & m2_relset_1(E,k4_finseq_2(np__3,D),D) )
         => ! [F] :
              ( m1_circcmb3(F,D)
             => ( ( r2_hidden(B,u1_struct_0(F))
                  & r2_hidden(C,u1_struct_0(F)) )
               => ( r2_hidden(A,k4_msafree2(F))
                  | r2_hidden(k5_circcmb3(k6_circcmb3(np__3,D,E,k7_facirc_1(A,B,C))),k2_msafree2(F))
                  | k2_msafree2(k8_circcmb3(D,F,k6_circcmb3(np__3,D,E,k7_facirc_1(A,B,C)))) = k2_xboole_0(k2_msafree2(F),k1_tarski(A)) ) ) ) ) ) )).

fof(t51_circcmb3,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(D)
        & v1_finset_1(D) )
     => ! [E] :
          ( ( v1_funct_1(E)
            & v1_funct_2(E,k4_finseq_2(np__3,D),D)
            & m2_relset_1(E,k4_finseq_2(np__3,D),D) )
         => ! [F] :
              ( m1_circcmb3(F,D)
             => ( ( r2_hidden(A,u1_struct_0(F))
                  & r2_hidden(B,u1_struct_0(F))
                  & r2_hidden(C,u1_struct_0(F)) )
               => ( r2_hidden(k5_circcmb3(k6_circcmb3(np__3,D,E,k7_facirc_1(A,B,C))),k2_msafree2(F))
                  | k2_msafree2(k8_circcmb3(D,F,k6_circcmb3(np__3,D,E,k7_facirc_1(A,B,C)))) = k2_msafree2(F) ) ) ) ) ) )).

fof(t52_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A) )
     => ! [B] :
          ( ( v6_group_1(B)
            & m1_circcmb3(B,A) )
         => ! [C] :
              ( m2_circcmb3(C,A,B)
             => ! [D] :
                  ( m2_subset_1(D,k1_numbers,k5_numbers)
                 => ! [E] :
                      ( ( v1_funct_1(E)
                        & v1_funct_2(E,k4_finseq_2(D,A),A)
                        & m2_relset_1(E,k4_finseq_2(D,A),A) )
                     => ! [F] :
                          ( m1_circcomb(F,D)
                         => ( ~ r2_hidden(k5_circcmb3(k6_circcmb3(D,A,E,F)),k2_msafree2(B))
                           => ! [G] :
                                ( m1_subset_1(G,k4_card_3(u4_msualg_1(k8_circcmb3(A,B,k6_circcmb3(D,A,E,F)),k9_circcmb3(A,B,k6_circcmb3(D,A,E,F),C,k7_circcmb3(D,A,E,F)))))
                               => ! [H] :
                                    ( m1_subset_1(H,k4_card_3(u4_msualg_1(B,C)))
                                   => ( H = k7_relat_1(G,u1_struct_0(B))
                                     => r1_xreal_0(k2_circcmb3(k8_circcmb3(A,B,k6_circcmb3(D,A,E,F)),k9_circcmb3(A,B,k6_circcmb3(D,A,E,F),C,k7_circcmb3(D,A,E,F)),G),k1_nat_1(np__1,k2_circcmb3(B,C,H))) ) ) ) ) ) ) ) ) ) ) )).

fof(d11_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ( v6_circcmb3(A)
      <=> ~ v2_facirc_1(k2_msafree2(A)) ) ) )).

fof(t53_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & v6_circcmb3(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( m1_subset_1(B,u1_struct_0(A))
         => ( v1_facirc_1(B)
           => r2_hidden(B,k3_msafree2(A)) ) ) ) )).

fof(t54_circcmb3,axiom,(
    ! [A] :
      ( ~ v1_facirc_1(A)
     => ! [B] :
          ( v1_relat_1(B)
         => ~ r2_hidden(A,B) ) ) )).

fof(t55_circcmb3,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(B)
        & v1_finset_1(B) )
     => ! [C] :
          ( ( v1_funct_1(C)
            & v1_funct_2(C,k4_finseq_2(np__1,B),B)
            & m2_relset_1(C,k4_finseq_2(np__1,B),B) )
         => ! [D] :
              ( ( v6_circcmb3(D)
                & m1_circcmb3(D,B) )
             => ( ~ ( ~ r2_hidden(A,u1_struct_0(D))
                    & v1_facirc_1(A) )
               => v6_circcmb3(k8_circcmb3(B,D,k6_circcmb3(np__1,B,C,k5_facirc_1(A)))) ) ) ) ) )).

fof(t56_circcmb3,axiom,(
    ! [A,B,C] :
      ( ( ~ v1_xboole_0(C)
        & v1_finset_1(C) )
     => ! [D] :
          ( ( v1_funct_1(D)
            & v1_funct_2(D,k4_finseq_2(np__2,C),C)
            & m2_relset_1(D,k4_finseq_2(np__2,C),C) )
         => ! [E] :
              ( ( v6_circcmb3(E)
                & m1_circcmb3(E,C) )
             => ~ ( ~ ( ~ r2_hidden(A,u1_struct_0(E))
                      & v1_facirc_1(A) )
                  & ~ ( ~ r2_hidden(B,u1_struct_0(E))
                      & v1_facirc_1(B) )
                  & ~ v6_circcmb3(k8_circcmb3(C,E,k6_circcmb3(np__2,C,D,k6_facirc_1(A,B)))) ) ) ) ) )).

fof(t57_circcmb3,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v1_xboole_0(D)
        & v1_finset_1(D) )
     => ! [E] :
          ( ( v1_funct_1(E)
            & v1_funct_2(E,k4_finseq_2(np__3,D),D)
            & m2_relset_1(E,k4_finseq_2(np__3,D),D) )
         => ! [F] :
              ( ( v6_circcmb3(F)
                & m1_circcmb3(F,D) )
             => ~ ( ~ ( ~ r2_hidden(A,u1_struct_0(F))
                      & v1_facirc_1(A) )
                  & ~ ( ~ r2_hidden(B,u1_struct_0(F))
                      & v1_facirc_1(B) )
                  & ~ ( ~ r2_hidden(C,u1_struct_0(F))
                      & v1_facirc_1(C) )
                  & ~ v6_circcmb3(k8_circcmb3(D,F,k6_circcmb3(np__3,D,E,k7_facirc_1(A,B,C)))) ) ) ) ) )).

fof(s1_circcmb3,axiom,(
    ? [A] :
      ( v4_circcmb3(A)
      & l1_msualg_1(A)
      & ? [B] :
          ( v4_msafree2(B,A)
          & v5_circcmb3(B,A)
          & l3_msualg_1(B,A)
          & k2_msafree2(A) = k1_tarski(f1_s1_circcmb3)
          & ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => k1_funct_1(k1_circcmb3(A,B,C),k5_circcmb3(A)) = f3_s1_circcmb3(k1_funct_1(C,f1_s1_circcmb3)) ) ) ) )).

fof(s2_circcmb3,axiom,(
    ? [A] :
      ( v4_circcmb3(A)
      & l1_msualg_1(A)
      & ? [B] :
          ( v4_msafree2(B,A)
          & v5_circcmb3(B,A)
          & l3_msualg_1(B,A)
          & k2_msafree2(A) = k2_tarski(f1_s2_circcmb3,f2_s2_circcmb3)
          & ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => k1_funct_1(k1_circcmb3(A,B,C),k5_circcmb3(A)) = f4_s2_circcmb3(k1_funct_1(C,f1_s2_circcmb3),k1_funct_1(C,f2_s2_circcmb3)) ) ) ) )).

fof(s3_circcmb3,axiom,(
    ? [A] :
      ( v4_circcmb3(A)
      & l1_msualg_1(A)
      & ? [B] :
          ( v4_msafree2(B,A)
          & v5_circcmb3(B,A)
          & l3_msualg_1(B,A)
          & k2_msafree2(A) = k1_enumset1(f1_s3_circcmb3,f2_s3_circcmb3,f3_s3_circcmb3)
          & ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => k1_funct_1(k1_circcmb3(A,B,C),k5_circcmb3(A)) = f5_s3_circcmb3(k1_funct_1(C,f1_s3_circcmb3),k1_funct_1(C,f2_s3_circcmb3),k1_funct_1(C,f3_s3_circcmb3)) ) ) ) )).

fof(s4_circcmb3,axiom,(
    ? [A] :
      ( v4_circcmb3(A)
      & l1_msualg_1(A)
      & ? [B] :
          ( v4_msafree2(B,A)
          & v5_circcmb3(B,A)
          & l3_msualg_1(B,A)
          & k2_msafree2(A) = k2_enumset1(f1_s4_circcmb3,f2_s4_circcmb3,f3_s4_circcmb3,f4_s4_circcmb3)
          & ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => k1_funct_1(k1_circcmb3(A,B,C),k5_circcmb3(A)) = f6_s4_circcmb3(k1_funct_1(C,f1_s4_circcmb3),k1_funct_1(C,f2_s4_circcmb3),k1_funct_1(C,f3_s4_circcmb3),k1_funct_1(C,f4_s4_circcmb3)) ) ) ) )).

fof(s5_circcmb3,axiom,(
    ? [A] :
      ( v4_circcmb3(A)
      & l1_msualg_1(A)
      & ? [B] :
          ( v4_msafree2(B,A)
          & v5_circcmb3(B,A)
          & l3_msualg_1(B,A)
          & k2_msafree2(A) = k3_enumset1(f1_s5_circcmb3,f2_s5_circcmb3,f3_s5_circcmb3,f4_s5_circcmb3,f5_s5_circcmb3)
          & ! [C] :
              ( m1_subset_1(C,k4_card_3(u4_msualg_1(A,B)))
             => k1_funct_1(k1_circcmb3(A,B,C),k5_circcmb3(A)) = f7_s5_circcmb3(k1_funct_1(C,f1_s5_circcmb3),k1_funct_1(C,f2_s5_circcmb3),k1_funct_1(C,f3_s5_circcmb3),k1_funct_1(C,f4_s5_circcmb3),k1_funct_1(C,f5_s5_circcmb3)) ) ) ) )).

fof(s6_circcmb3,axiom,
    ( ? [A] :
        ( v1_funct_1(A)
        & v1_funct_2(A,k4_finseq_2(np__1,f1_s6_circcmb3),f1_s6_circcmb3)
        & m2_relset_1(A,k4_finseq_2(np__1,f1_s6_circcmb3),f1_s6_circcmb3)
        & ! [B] :
            ( m1_subset_1(B,f1_s6_circcmb3)
           => k8_funct_2(k4_finseq_2(np__1,f1_s6_circcmb3),f1_s6_circcmb3,A,k13_binarith(f1_s6_circcmb3,B)) = f2_s6_circcmb3(B) ) )
    & ! [A] :
        ( ( v1_funct_1(A)
          & v1_funct_2(A,k4_finseq_2(np__1,f1_s6_circcmb3),f1_s6_circcmb3)
          & m2_relset_1(A,k4_finseq_2(np__1,f1_s6_circcmb3),f1_s6_circcmb3) )
       => ! [B] :
            ( ( v1_funct_1(B)
              & v1_funct_2(B,k4_finseq_2(np__1,f1_s6_circcmb3),f1_s6_circcmb3)
              & m2_relset_1(B,k4_finseq_2(np__1,f1_s6_circcmb3),f1_s6_circcmb3) )
           => ( ( ! [C] :
                    ( m1_subset_1(C,f1_s6_circcmb3)
                   => k8_funct_2(k4_finseq_2(np__1,f1_s6_circcmb3),f1_s6_circcmb3,A,k13_binarith(f1_s6_circcmb3,C)) = f2_s6_circcmb3(C) )
                & ! [C] :
                    ( m1_subset_1(C,f1_s6_circcmb3)
                   => k8_funct_2(k4_finseq_2(np__1,f1_s6_circcmb3),f1_s6_circcmb3,B,k13_binarith(f1_s6_circcmb3,C)) = f2_s6_circcmb3(C) ) )
             => A = B ) ) ) )).

fof(s7_circcmb3,axiom,
    ( ? [A] :
        ( v1_funct_1(A)
        & v1_funct_2(A,k4_finseq_2(np__2,f1_s7_circcmb3),f1_s7_circcmb3)
        & m2_relset_1(A,k4_finseq_2(np__2,f1_s7_circcmb3),f1_s7_circcmb3)
        & ! [B] :
            ( m1_subset_1(B,f1_s7_circcmb3)
           => ! [C] :
                ( m1_subset_1(C,f1_s7_circcmb3)
               => k1_funct_1(A,k6_facirc_1(B,C)) = f2_s7_circcmb3(B,C) ) ) )
    & ! [A] :
        ( ( v1_funct_1(A)
          & v1_funct_2(A,k4_finseq_2(np__2,f1_s7_circcmb3),f1_s7_circcmb3)
          & m2_relset_1(A,k4_finseq_2(np__2,f1_s7_circcmb3),f1_s7_circcmb3) )
       => ! [B] :
            ( ( v1_funct_1(B)
              & v1_funct_2(B,k4_finseq_2(np__2,f1_s7_circcmb3),f1_s7_circcmb3)
              & m2_relset_1(B,k4_finseq_2(np__2,f1_s7_circcmb3),f1_s7_circcmb3) )
           => ( ( ! [C] :
                    ( m1_subset_1(C,f1_s7_circcmb3)
                   => ! [D] :
                        ( m1_subset_1(D,f1_s7_circcmb3)
                       => k1_funct_1(A,k6_facirc_1(C,D)) = f2_s7_circcmb3(C,D) ) )
                & ! [C] :
                    ( m1_subset_1(C,f1_s7_circcmb3)
                   => ! [D] :
                        ( m1_subset_1(D,f1_s7_circcmb3)
                       => k1_funct_1(B,k6_facirc_1(C,D)) = f2_s7_circcmb3(C,D) ) ) )
             => A = B ) ) ) )).

fof(s8_circcmb3,axiom,
    ( ? [A] :
        ( v1_funct_1(A)
        & v1_funct_2(A,k4_finseq_2(np__3,f1_s8_circcmb3),f1_s8_circcmb3)
        & m2_relset_1(A,k4_finseq_2(np__3,f1_s8_circcmb3),f1_s8_circcmb3)
        & ! [B] :
            ( m1_subset_1(B,f1_s8_circcmb3)
           => ! [C] :
                ( m1_subset_1(C,f1_s8_circcmb3)
               => ! [D] :
                    ( m1_subset_1(D,f1_s8_circcmb3)
                   => k1_funct_1(A,k7_facirc_1(B,C,D)) = f2_s8_circcmb3(B,C,D) ) ) ) )
    & ! [A] :
        ( ( v1_funct_1(A)
          & v1_funct_2(A,k4_finseq_2(np__3,f1_s8_circcmb3),f1_s8_circcmb3)
          & m2_relset_1(A,k4_finseq_2(np__3,f1_s8_circcmb3),f1_s8_circcmb3) )
       => ! [B] :
            ( ( v1_funct_1(B)
              & v1_funct_2(B,k4_finseq_2(np__3,f1_s8_circcmb3),f1_s8_circcmb3)
              & m2_relset_1(B,k4_finseq_2(np__3,f1_s8_circcmb3),f1_s8_circcmb3) )
           => ( ( ! [C] :
                    ( m1_subset_1(C,f1_s8_circcmb3)
                   => ! [D] :
                        ( m1_subset_1(D,f1_s8_circcmb3)
                       => ! [E] :
                            ( m1_subset_1(E,f1_s8_circcmb3)
                           => k1_funct_1(A,k7_facirc_1(C,D,E)) = f2_s8_circcmb3(C,D,E) ) ) )
                & ! [C] :
                    ( m1_subset_1(C,f1_s8_circcmb3)
                   => ! [D] :
                        ( m1_subset_1(D,f1_s8_circcmb3)
                       => ! [E] :
                            ( m1_subset_1(E,f1_s8_circcmb3)
                           => k1_funct_1(B,k7_facirc_1(C,D,E)) = f2_s8_circcmb3(C,D,E) ) ) ) )
             => A = B ) ) ) )).

fof(s9_circcmb3,axiom,
    ( ! [A] :
        ( ( v1_funct_1(A)
          & v1_funct_2(A,k4_finseq_2(np__1,f2_s9_circcmb3),f2_s9_circcmb3)
          & m2_relset_1(A,k4_finseq_2(np__1,f2_s9_circcmb3),f2_s9_circcmb3) )
       => ( A = f4_s9_circcmb3
        <=> ! [B] :
              ( m1_subset_1(B,f2_s9_circcmb3)
             => k8_funct_2(k4_finseq_2(np__1,f2_s9_circcmb3),f2_s9_circcmb3,A,k13_binarith(f2_s9_circcmb3,B)) = f3_s9_circcmb3(B) ) ) )
   => ! [A] :
        ( m1_subset_1(A,k4_card_3(u4_msualg_1(k7_circcomb(f4_s9_circcmb3,k5_facirc_1(f1_s9_circcmb3)),k7_circcmb3(np__1,f2_s9_circcmb3,f4_s9_circcmb3,k5_facirc_1(f1_s9_circcmb3)))))
       => ! [B] :
            ( m1_subset_1(B,f2_s9_circcmb3)
           => ( B = k1_funct_1(A,f1_s9_circcmb3)
             => k1_funct_1(k1_circcmb3(k7_circcomb(f4_s9_circcmb3,k5_facirc_1(f1_s9_circcmb3)),k7_circcmb3(np__1,f2_s9_circcmb3,f4_s9_circcmb3,k5_facirc_1(f1_s9_circcmb3)),A),k5_circcmb3(k6_circcmb3(np__1,f2_s9_circcmb3,f4_s9_circcmb3,k5_facirc_1(f1_s9_circcmb3)))) = f3_s9_circcmb3(B) ) ) ) )).

fof(s10_circcmb3,axiom,
    ( ! [A] :
        ( ( v1_funct_1(A)
          & v1_funct_2(A,k4_finseq_2(np__2,f3_s10_circcmb3),f3_s10_circcmb3)
          & m2_relset_1(A,k4_finseq_2(np__2,f3_s10_circcmb3),f3_s10_circcmb3) )
       => ( A = f5_s10_circcmb3
        <=> ! [B] :
              ( m1_subset_1(B,f3_s10_circcmb3)
             => ! [C] :
                  ( m1_subset_1(C,f3_s10_circcmb3)
                 => k1_funct_1(A,k6_facirc_1(B,C)) = f4_s10_circcmb3(B,C) ) ) ) )
   => ! [A] :
        ( m1_subset_1(A,k4_card_3(u4_msualg_1(k7_circcomb(f5_s10_circcmb3,k6_facirc_1(f1_s10_circcmb3,f2_s10_circcmb3)),k7_circcmb3(np__2,f3_s10_circcmb3,f5_s10_circcmb3,k6_facirc_1(f1_s10_circcmb3,f2_s10_circcmb3)))))
       => ! [B] :
            ( m1_subset_1(B,f3_s10_circcmb3)
           => ! [C] :
                ( m1_subset_1(C,f3_s10_circcmb3)
               => ( ( B = k1_funct_1(A,f1_s10_circcmb3)
                    & C = k1_funct_1(A,f2_s10_circcmb3) )
                 => k1_funct_1(k1_circcmb3(k7_circcomb(f5_s10_circcmb3,k6_facirc_1(f1_s10_circcmb3,f2_s10_circcmb3)),k7_circcmb3(np__2,f3_s10_circcmb3,f5_s10_circcmb3,k6_facirc_1(f1_s10_circcmb3,f2_s10_circcmb3)),A),k5_circcmb3(k6_circcmb3(np__2,f3_s10_circcmb3,f5_s10_circcmb3,k6_facirc_1(f1_s10_circcmb3,f2_s10_circcmb3)))) = f4_s10_circcmb3(B,C) ) ) ) ) )).

fof(s11_circcmb3,axiom,
    ( ! [A] :
        ( ( v1_funct_1(A)
          & v1_funct_2(A,k4_finseq_2(np__3,f4_s11_circcmb3),f4_s11_circcmb3)
          & m2_relset_1(A,k4_finseq_2(np__3,f4_s11_circcmb3),f4_s11_circcmb3) )
       => ( A = f6_s11_circcmb3
        <=> ! [B] :
              ( m1_subset_1(B,f4_s11_circcmb3)
             => ! [C] :
                  ( m1_subset_1(C,f4_s11_circcmb3)
                 => ! [D] :
                      ( m1_subset_1(D,f4_s11_circcmb3)
                     => k1_funct_1(A,k7_facirc_1(B,C,D)) = f5_s11_circcmb3(B,C,D) ) ) ) ) )
   => ! [A] :
        ( m1_subset_1(A,k4_card_3(u4_msualg_1(k7_circcomb(f6_s11_circcmb3,k7_facirc_1(f1_s11_circcmb3,f2_s11_circcmb3,f3_s11_circcmb3)),k7_circcmb3(np__3,f4_s11_circcmb3,f6_s11_circcmb3,k7_facirc_1(f1_s11_circcmb3,f2_s11_circcmb3,f3_s11_circcmb3)))))
       => ! [B] :
            ( m1_subset_1(B,f4_s11_circcmb3)
           => ! [C] :
                ( m1_subset_1(C,f4_s11_circcmb3)
               => ! [D] :
                    ( m1_subset_1(D,f4_s11_circcmb3)
                   => ( ( B = k1_funct_1(A,f1_s11_circcmb3)
                        & C = k1_funct_1(A,f2_s11_circcmb3)
                        & D = k1_funct_1(A,f3_s11_circcmb3) )
                     => k1_funct_1(k1_circcmb3(k7_circcomb(f6_s11_circcmb3,k7_facirc_1(f1_s11_circcmb3,f2_s11_circcmb3,f3_s11_circcmb3)),k7_circcmb3(np__3,f4_s11_circcmb3,f6_s11_circcmb3,k7_facirc_1(f1_s11_circcmb3,f2_s11_circcmb3,f3_s11_circcmb3)),A),k5_circcmb3(k6_circcmb3(np__3,f4_s11_circcmb3,f6_s11_circcmb3,k7_facirc_1(f1_s11_circcmb3,f2_s11_circcmb3,f3_s11_circcmb3)))) = f5_s11_circcmb3(B,C,D) ) ) ) ) ) )).

fof(s12_circcmb3,axiom,
    ( ! [A] :
        ( ( v1_funct_1(A)
          & v1_funct_2(A,k4_finseq_2(np__4,f5_s12_circcmb3),f5_s12_circcmb3)
          & m2_relset_1(A,k4_finseq_2(np__4,f5_s12_circcmb3),f5_s12_circcmb3) )
       => ( A = f7_s12_circcmb3
        <=> ! [B] :
              ( m1_subset_1(B,f5_s12_circcmb3)
             => ! [C] :
                  ( m1_subset_1(C,f5_s12_circcmb3)
                 => ! [D] :
                      ( m1_subset_1(D,f5_s12_circcmb3)
                     => ! [E] :
                          ( m1_subset_1(E,f5_s12_circcmb3)
                         => k1_funct_1(A,k3_circcmb3(B,C,D,E)) = f6_s12_circcmb3(B,C,D,E) ) ) ) ) ) )
   => ! [A] :
        ( m1_subset_1(A,k4_card_3(u4_msualg_1(k7_circcomb(f7_s12_circcmb3,k3_circcmb3(f1_s12_circcmb3,f2_s12_circcmb3,f3_s12_circcmb3,f4_s12_circcmb3)),k7_circcmb3(np__4,f5_s12_circcmb3,f7_s12_circcmb3,k3_circcmb3(f1_s12_circcmb3,f2_s12_circcmb3,f3_s12_circcmb3,f4_s12_circcmb3)))))
       => ! [B] :
            ( m1_subset_1(B,f5_s12_circcmb3)
           => ! [C] :
                ( m1_subset_1(C,f5_s12_circcmb3)
               => ! [D] :
                    ( m1_subset_1(D,f5_s12_circcmb3)
                   => ! [E] :
                        ( m1_subset_1(E,f5_s12_circcmb3)
                       => ( ( B = k1_funct_1(A,f1_s12_circcmb3)
                            & C = k1_funct_1(A,f2_s12_circcmb3)
                            & D = k1_funct_1(A,f3_s12_circcmb3)
                            & E = k1_funct_1(A,f4_s12_circcmb3) )
                         => k1_funct_1(k1_circcmb3(k7_circcomb(f7_s12_circcmb3,k3_circcmb3(f1_s12_circcmb3,f2_s12_circcmb3,f3_s12_circcmb3,f4_s12_circcmb3)),k7_circcmb3(np__4,f5_s12_circcmb3,f7_s12_circcmb3,k3_circcmb3(f1_s12_circcmb3,f2_s12_circcmb3,f3_s12_circcmb3,f4_s12_circcmb3)),A),k5_circcmb3(k6_circcmb3(np__4,f5_s12_circcmb3,f7_s12_circcmb3,k3_circcmb3(f1_s12_circcmb3,f2_s12_circcmb3,f3_s12_circcmb3,f4_s12_circcmb3)))) = f6_s12_circcmb3(B,C,D,E) ) ) ) ) ) ) )).

fof(s13_circcmb3,axiom,
    ( ! [A] :
        ( ( v1_funct_1(A)
          & v1_funct_2(A,k4_finseq_2(np__5,f6_s13_circcmb3),f6_s13_circcmb3)
          & m2_relset_1(A,k4_finseq_2(np__5,f6_s13_circcmb3),f6_s13_circcmb3) )
       => ( A = f8_s13_circcmb3
        <=> ! [B] :
              ( m1_subset_1(B,f6_s13_circcmb3)
             => ! [C] :
                  ( m1_subset_1(C,f6_s13_circcmb3)
                 => ! [D] :
                      ( m1_subset_1(D,f6_s13_circcmb3)
                     => ! [E] :
                          ( m1_subset_1(E,f6_s13_circcmb3)
                         => ! [F] :
                              ( m1_subset_1(F,f6_s13_circcmb3)
                             => k1_funct_1(A,k4_circcmb3(B,C,D,E,F)) = f7_s13_circcmb3(B,C,D,E,F) ) ) ) ) ) ) )
   => ! [A] :
        ( m1_subset_1(A,k4_card_3(u4_msualg_1(k7_circcomb(f8_s13_circcmb3,k4_circcmb3(f1_s13_circcmb3,f2_s13_circcmb3,f3_s13_circcmb3,f4_s13_circcmb3,f5_s13_circcmb3)),k7_circcmb3(np__5,f6_s13_circcmb3,f8_s13_circcmb3,k4_circcmb3(f1_s13_circcmb3,f2_s13_circcmb3,f3_s13_circcmb3,f4_s13_circcmb3,f5_s13_circcmb3)))))
       => ! [B] :
            ( m1_subset_1(B,f6_s13_circcmb3)
           => ! [C] :
                ( m1_subset_1(C,f6_s13_circcmb3)
               => ! [D] :
                    ( m1_subset_1(D,f6_s13_circcmb3)
                   => ! [E] :
                        ( m1_subset_1(E,f6_s13_circcmb3)
                       => ! [F] :
                            ( m1_subset_1(F,f6_s13_circcmb3)
                           => ( ( B = k1_funct_1(A,f1_s13_circcmb3)
                                & C = k1_funct_1(A,f2_s13_circcmb3)
                                & D = k1_funct_1(A,f3_s13_circcmb3)
                                & E = k1_funct_1(A,f4_s13_circcmb3)
                                & F = k1_funct_1(A,f5_s13_circcmb3) )
                             => k1_funct_1(k1_circcmb3(k7_circcomb(f8_s13_circcmb3,k4_circcmb3(f1_s13_circcmb3,f2_s13_circcmb3,f3_s13_circcmb3,f4_s13_circcmb3,f5_s13_circcmb3)),k7_circcmb3(np__5,f6_s13_circcmb3,f8_s13_circcmb3,k4_circcmb3(f1_s13_circcmb3,f2_s13_circcmb3,f3_s13_circcmb3,f4_s13_circcmb3,f5_s13_circcmb3)),A),k5_circcmb3(k6_circcmb3(np__5,f6_s13_circcmb3,f8_s13_circcmb3,k4_circcmb3(f1_s13_circcmb3,f2_s13_circcmb3,f3_s13_circcmb3,f4_s13_circcmb3,f5_s13_circcmb3)))) = f7_s13_circcmb3(B,C,D,E,F) ) ) ) ) ) ) ) )).

fof(s14_circcmb3,axiom,
    ( ( ! [A] :
          ( ( v1_funct_1(A)
            & v1_funct_2(A,k4_finseq_2(np__1,f2_s14_circcmb3),f2_s14_circcmb3)
            & m2_relset_1(A,k4_finseq_2(np__1,f2_s14_circcmb3),f2_s14_circcmb3) )
         => ( A = f6_s14_circcmb3
          <=> ! [B] :
                ( m1_subset_1(B,f2_s14_circcmb3)
               => k8_funct_2(k4_finseq_2(np__1,f2_s14_circcmb3),f2_s14_circcmb3,A,k13_binarith(f2_s14_circcmb3,B)) = f3_s14_circcmb3(B) ) ) )
      & ~ r2_hidden(k5_circcmb3(k6_circcmb3(np__1,f2_s14_circcmb3,f6_s14_circcmb3,k5_facirc_1(f1_s14_circcmb3))),k2_msafree2(f4_s14_circcmb3)) )
   => ! [A] :
        ( m1_subset_1(A,k4_card_3(u4_msualg_1(k8_circcmb3(f2_s14_circcmb3,f4_s14_circcmb3,k6_circcmb3(np__1,f2_s14_circcmb3,f6_s14_circcmb3,k5_facirc_1(f1_s14_circcmb3))),k9_circcmb3(f2_s14_circcmb3,f4_s14_circcmb3,k6_circcmb3(np__1,f2_s14_circcmb3,f6_s14_circcmb3,k5_facirc_1(f1_s14_circcmb3)),f5_s14_circcmb3,k7_circcmb3(np__1,f2_s14_circcmb3,f6_s14_circcmb3,k5_facirc_1(f1_s14_circcmb3))))))
       => ! [B] :
            ( m1_subset_1(B,k4_card_3(u4_msualg_1(f4_s14_circcmb3,f5_s14_circcmb3)))
           => ( B = k7_relat_1(A,u1_struct_0(f4_s14_circcmb3))
             => ! [C] :
                  ( m1_subset_1(C,f2_s14_circcmb3)
                 => ~ ( ( r2_hidden(f1_s14_circcmb3,k4_msafree2(f4_s14_circcmb3))
                       => C = k1_funct_1(k1_circcmb3(f4_s14_circcmb3,f5_s14_circcmb3,B),f1_s14_circcmb3) )
                      & ( ~ r2_hidden(f1_s14_circcmb3,k4_msafree2(f4_s14_circcmb3))
                       => C = k1_funct_1(A,f1_s14_circcmb3) )
                      & k1_funct_1(k1_circcmb3(k8_circcmb3(f2_s14_circcmb3,f4_s14_circcmb3,k6_circcmb3(np__1,f2_s14_circcmb3,f6_s14_circcmb3,k5_facirc_1(f1_s14_circcmb3))),k9_circcmb3(f2_s14_circcmb3,f4_s14_circcmb3,k6_circcmb3(np__1,f2_s14_circcmb3,f6_s14_circcmb3,k5_facirc_1(f1_s14_circcmb3)),f5_s14_circcmb3,k7_circcmb3(np__1,f2_s14_circcmb3,f6_s14_circcmb3,k5_facirc_1(f1_s14_circcmb3))),A),k5_circcmb3(k6_circcmb3(np__1,f2_s14_circcmb3,f6_s14_circcmb3,k5_facirc_1(f1_s14_circcmb3)))) != f3_s14_circcmb3(C) ) ) ) ) ) )).

fof(s15_circcmb3,axiom,
    ( ( ! [A] :
          ( ( v1_funct_1(A)
            & v1_funct_2(A,k4_finseq_2(np__2,f3_s15_circcmb3),f3_s15_circcmb3)
            & m2_relset_1(A,k4_finseq_2(np__2,f3_s15_circcmb3),f3_s15_circcmb3) )
         => ( A = f7_s15_circcmb3
          <=> ! [B] :
                ( m1_subset_1(B,f3_s15_circcmb3)
               => ! [C] :
                    ( m1_subset_1(C,f3_s15_circcmb3)
                   => k1_funct_1(A,k6_facirc_1(B,C)) = f4_s15_circcmb3(B,C) ) ) ) )
      & ~ r2_hidden(k5_circcmb3(k6_circcmb3(np__2,f3_s15_circcmb3,f7_s15_circcmb3,k6_facirc_1(f1_s15_circcmb3,f2_s15_circcmb3))),k2_msafree2(f5_s15_circcmb3)) )
   => ! [A] :
        ( m1_subset_1(A,k4_card_3(u4_msualg_1(k8_circcmb3(f3_s15_circcmb3,f5_s15_circcmb3,k6_circcmb3(np__2,f3_s15_circcmb3,f7_s15_circcmb3,k6_facirc_1(f1_s15_circcmb3,f2_s15_circcmb3))),k9_circcmb3(f3_s15_circcmb3,f5_s15_circcmb3,k6_circcmb3(np__2,f3_s15_circcmb3,f7_s15_circcmb3,k6_facirc_1(f1_s15_circcmb3,f2_s15_circcmb3)),f6_s15_circcmb3,k7_circcmb3(np__2,f3_s15_circcmb3,f7_s15_circcmb3,k6_facirc_1(f1_s15_circcmb3,f2_s15_circcmb3))))))
       => ! [B] :
            ( m1_subset_1(B,k4_card_3(u4_msualg_1(f5_s15_circcmb3,f6_s15_circcmb3)))
           => ( B = k7_relat_1(A,u1_struct_0(f5_s15_circcmb3))
             => ! [C] :
                  ( m1_subset_1(C,f3_s15_circcmb3)
                 => ! [D] :
                      ( m1_subset_1(D,f3_s15_circcmb3)
                     => ~ ( ( r2_hidden(f1_s15_circcmb3,k4_msafree2(f5_s15_circcmb3))
                           => C = k1_funct_1(k1_circcmb3(f5_s15_circcmb3,f6_s15_circcmb3,B),f1_s15_circcmb3) )
                          & ( ~ r2_hidden(f1_s15_circcmb3,k4_msafree2(f5_s15_circcmb3))
                           => C = k1_funct_1(A,f1_s15_circcmb3) )
                          & ( r2_hidden(f2_s15_circcmb3,k4_msafree2(f5_s15_circcmb3))
                           => D = k1_funct_1(k1_circcmb3(f5_s15_circcmb3,f6_s15_circcmb3,B),f2_s15_circcmb3) )
                          & ( ~ r2_hidden(f2_s15_circcmb3,k4_msafree2(f5_s15_circcmb3))
                           => D = k1_funct_1(A,f2_s15_circcmb3) )
                          & k1_funct_1(k1_circcmb3(k8_circcmb3(f3_s15_circcmb3,f5_s15_circcmb3,k6_circcmb3(np__2,f3_s15_circcmb3,f7_s15_circcmb3,k6_facirc_1(f1_s15_circcmb3,f2_s15_circcmb3))),k9_circcmb3(f3_s15_circcmb3,f5_s15_circcmb3,k6_circcmb3(np__2,f3_s15_circcmb3,f7_s15_circcmb3,k6_facirc_1(f1_s15_circcmb3,f2_s15_circcmb3)),f6_s15_circcmb3,k7_circcmb3(np__2,f3_s15_circcmb3,f7_s15_circcmb3,k6_facirc_1(f1_s15_circcmb3,f2_s15_circcmb3))),A),k5_circcmb3(k6_circcmb3(np__2,f3_s15_circcmb3,f7_s15_circcmb3,k6_facirc_1(f1_s15_circcmb3,f2_s15_circcmb3)))) != f4_s15_circcmb3(C,D) ) ) ) ) ) ) )).

fof(s16_circcmb3,axiom,
    ( ( ! [A] :
          ( ( v1_funct_1(A)
            & v1_funct_2(A,k4_finseq_2(np__3,f4_s16_circcmb3),f4_s16_circcmb3)
            & m2_relset_1(A,k4_finseq_2(np__3,f4_s16_circcmb3),f4_s16_circcmb3) )
         => ( A = f8_s16_circcmb3
          <=> ! [B] :
                ( m1_subset_1(B,f4_s16_circcmb3)
               => ! [C] :
                    ( m1_subset_1(C,f4_s16_circcmb3)
                   => ! [D] :
                        ( m1_subset_1(D,f4_s16_circcmb3)
                       => k1_funct_1(A,k7_facirc_1(B,C,D)) = f5_s16_circcmb3(B,C,D) ) ) ) ) )
      & ~ r2_hidden(k5_circcmb3(k6_circcmb3(np__3,f4_s16_circcmb3,f8_s16_circcmb3,k7_facirc_1(f1_s16_circcmb3,f2_s16_circcmb3,f3_s16_circcmb3))),k2_msafree2(f6_s16_circcmb3)) )
   => ! [A] :
        ( m1_subset_1(A,k4_card_3(u4_msualg_1(k8_circcmb3(f4_s16_circcmb3,f6_s16_circcmb3,k6_circcmb3(np__3,f4_s16_circcmb3,f8_s16_circcmb3,k7_facirc_1(f1_s16_circcmb3,f2_s16_circcmb3,f3_s16_circcmb3))),k9_circcmb3(f4_s16_circcmb3,f6_s16_circcmb3,k6_circcmb3(np__3,f4_s16_circcmb3,f8_s16_circcmb3,k7_facirc_1(f1_s16_circcmb3,f2_s16_circcmb3,f3_s16_circcmb3)),f7_s16_circcmb3,k7_circcmb3(np__3,f4_s16_circcmb3,f8_s16_circcmb3,k7_facirc_1(f1_s16_circcmb3,f2_s16_circcmb3,f3_s16_circcmb3))))))
       => ! [B] :
            ( m1_subset_1(B,k4_card_3(u4_msualg_1(f6_s16_circcmb3,f7_s16_circcmb3)))
           => ( B = k7_relat_1(A,u1_struct_0(f6_s16_circcmb3))
             => ! [C] :
                  ( m1_subset_1(C,f4_s16_circcmb3)
                 => ! [D] :
                      ( m1_subset_1(D,f4_s16_circcmb3)
                     => ! [E] :
                          ( m1_subset_1(E,f4_s16_circcmb3)
                         => ~ ( ( r2_hidden(f1_s16_circcmb3,k4_msafree2(f6_s16_circcmb3))
                               => C = k1_funct_1(k1_circcmb3(f6_s16_circcmb3,f7_s16_circcmb3,B),f1_s16_circcmb3) )
                              & ( ~ r2_hidden(f1_s16_circcmb3,k4_msafree2(f6_s16_circcmb3))
                               => C = k1_funct_1(A,f1_s16_circcmb3) )
                              & ( r2_hidden(f2_s16_circcmb3,k4_msafree2(f6_s16_circcmb3))
                               => D = k1_funct_1(k1_circcmb3(f6_s16_circcmb3,f7_s16_circcmb3,B),f2_s16_circcmb3) )
                              & ( ~ r2_hidden(f2_s16_circcmb3,k4_msafree2(f6_s16_circcmb3))
                               => D = k1_funct_1(A,f2_s16_circcmb3) )
                              & ( r2_hidden(f3_s16_circcmb3,k4_msafree2(f6_s16_circcmb3))
                               => E = k1_funct_1(k1_circcmb3(f6_s16_circcmb3,f7_s16_circcmb3,B),f3_s16_circcmb3) )
                              & ( ~ r2_hidden(f3_s16_circcmb3,k4_msafree2(f6_s16_circcmb3))
                               => E = k1_funct_1(A,f3_s16_circcmb3) )
                              & k1_funct_1(k1_circcmb3(k8_circcmb3(f4_s16_circcmb3,f6_s16_circcmb3,k6_circcmb3(np__3,f4_s16_circcmb3,f8_s16_circcmb3,k7_facirc_1(f1_s16_circcmb3,f2_s16_circcmb3,f3_s16_circcmb3))),k9_circcmb3(f4_s16_circcmb3,f6_s16_circcmb3,k6_circcmb3(np__3,f4_s16_circcmb3,f8_s16_circcmb3,k7_facirc_1(f1_s16_circcmb3,f2_s16_circcmb3,f3_s16_circcmb3)),f7_s16_circcmb3,k7_circcmb3(np__3,f4_s16_circcmb3,f8_s16_circcmb3,k7_facirc_1(f1_s16_circcmb3,f2_s16_circcmb3,f3_s16_circcmb3))),A),k5_circcmb3(k6_circcmb3(np__3,f4_s16_circcmb3,f8_s16_circcmb3,k7_facirc_1(f1_s16_circcmb3,f2_s16_circcmb3,f3_s16_circcmb3)))) != f5_s16_circcmb3(C,D,E) ) ) ) ) ) ) ) )).

fof(s17_circcmb3,axiom,
    ( ( ! [A] :
          ( ( v1_funct_1(A)
            & v1_funct_2(A,k4_finseq_2(np__4,f5_s17_circcmb3),f5_s17_circcmb3)
            & m2_relset_1(A,k4_finseq_2(np__4,f5_s17_circcmb3),f5_s17_circcmb3) )
         => ( A = f9_s17_circcmb3
          <=> ! [B] :
                ( m1_subset_1(B,f5_s17_circcmb3)
               => ! [C] :
                    ( m1_subset_1(C,f5_s17_circcmb3)
                   => ! [D] :
                        ( m1_subset_1(D,f5_s17_circcmb3)
                       => ! [E] :
                            ( m1_subset_1(E,f5_s17_circcmb3)
                           => k1_funct_1(A,k3_circcmb3(B,C,D,E)) = f6_s17_circcmb3(B,C,D,E) ) ) ) ) ) )
      & ~ r2_hidden(k5_circcmb3(k6_circcmb3(np__4,f5_s17_circcmb3,f9_s17_circcmb3,k3_circcmb3(f1_s17_circcmb3,f2_s17_circcmb3,f3_s17_circcmb3,f4_s17_circcmb3))),k2_msafree2(f7_s17_circcmb3)) )
   => ! [A] :
        ( m1_subset_1(A,k4_card_3(u4_msualg_1(k8_circcmb3(f5_s17_circcmb3,f7_s17_circcmb3,k6_circcmb3(np__4,f5_s17_circcmb3,f9_s17_circcmb3,k3_circcmb3(f1_s17_circcmb3,f2_s17_circcmb3,f3_s17_circcmb3,f4_s17_circcmb3))),k9_circcmb3(f5_s17_circcmb3,f7_s17_circcmb3,k6_circcmb3(np__4,f5_s17_circcmb3,f9_s17_circcmb3,k3_circcmb3(f1_s17_circcmb3,f2_s17_circcmb3,f3_s17_circcmb3,f4_s17_circcmb3)),f8_s17_circcmb3,k7_circcmb3(np__4,f5_s17_circcmb3,f9_s17_circcmb3,k3_circcmb3(f1_s17_circcmb3,f2_s17_circcmb3,f3_s17_circcmb3,f4_s17_circcmb3))))))
       => ! [B] :
            ( m1_subset_1(B,k4_card_3(u4_msualg_1(f7_s17_circcmb3,f8_s17_circcmb3)))
           => ( B = k7_relat_1(A,u1_struct_0(f7_s17_circcmb3))
             => ! [C] :
                  ( m1_subset_1(C,f5_s17_circcmb3)
                 => ! [D] :
                      ( m1_subset_1(D,f5_s17_circcmb3)
                     => ! [E] :
                          ( m1_subset_1(E,f5_s17_circcmb3)
                         => ! [F] :
                              ( m1_subset_1(F,f5_s17_circcmb3)
                             => ~ ( ( r2_hidden(f1_s17_circcmb3,k4_msafree2(f7_s17_circcmb3))
                                   => C = k1_funct_1(k1_circcmb3(f7_s17_circcmb3,f8_s17_circcmb3,B),f1_s17_circcmb3) )
                                  & ( ~ r2_hidden(f1_s17_circcmb3,k4_msafree2(f7_s17_circcmb3))
                                   => C = k1_funct_1(A,f1_s17_circcmb3) )
                                  & ( r2_hidden(f2_s17_circcmb3,k4_msafree2(f7_s17_circcmb3))
                                   => D = k1_funct_1(k1_circcmb3(f7_s17_circcmb3,f8_s17_circcmb3,B),f2_s17_circcmb3) )
                                  & ( ~ r2_hidden(f2_s17_circcmb3,k4_msafree2(f7_s17_circcmb3))
                                   => D = k1_funct_1(A,f2_s17_circcmb3) )
                                  & ( r2_hidden(f3_s17_circcmb3,k4_msafree2(f7_s17_circcmb3))
                                   => E = k1_funct_1(k1_circcmb3(f7_s17_circcmb3,f8_s17_circcmb3,B),f3_s17_circcmb3) )
                                  & ( ~ r2_hidden(f3_s17_circcmb3,k4_msafree2(f7_s17_circcmb3))
                                   => E = k1_funct_1(A,f3_s17_circcmb3) )
                                  & ( r2_hidden(f4_s17_circcmb3,k4_msafree2(f7_s17_circcmb3))
                                   => F = k1_funct_1(k1_circcmb3(f7_s17_circcmb3,f8_s17_circcmb3,B),f4_s17_circcmb3) )
                                  & ( ~ r2_hidden(f4_s17_circcmb3,k4_msafree2(f7_s17_circcmb3))
                                   => F = k1_funct_1(A,f4_s17_circcmb3) )
                                  & k1_funct_1(k1_circcmb3(k8_circcmb3(f5_s17_circcmb3,f7_s17_circcmb3,k6_circcmb3(np__4,f5_s17_circcmb3,f9_s17_circcmb3,k3_circcmb3(f1_s17_circcmb3,f2_s17_circcmb3,f3_s17_circcmb3,f4_s17_circcmb3))),k9_circcmb3(f5_s17_circcmb3,f7_s17_circcmb3,k6_circcmb3(np__4,f5_s17_circcmb3,f9_s17_circcmb3,k3_circcmb3(f1_s17_circcmb3,f2_s17_circcmb3,f3_s17_circcmb3,f4_s17_circcmb3)),f8_s17_circcmb3,k7_circcmb3(np__4,f5_s17_circcmb3,f9_s17_circcmb3,k3_circcmb3(f1_s17_circcmb3,f2_s17_circcmb3,f3_s17_circcmb3,f4_s17_circcmb3))),A),k5_circcmb3(k6_circcmb3(np__4,f5_s17_circcmb3,f9_s17_circcmb3,k3_circcmb3(f1_s17_circcmb3,f2_s17_circcmb3,f3_s17_circcmb3,f4_s17_circcmb3)))) != f6_s17_circcmb3(C,D,E,F) ) ) ) ) ) ) ) ) )).

fof(s18_circcmb3,axiom,
    ( ( ! [A] :
          ( ( v1_funct_1(A)
            & v1_funct_2(A,k4_finseq_2(np__5,f6_s18_circcmb3),f6_s18_circcmb3)
            & m2_relset_1(A,k4_finseq_2(np__5,f6_s18_circcmb3),f6_s18_circcmb3) )
         => ( A = f10_s18_circcmb3
          <=> ! [B] :
                ( m1_subset_1(B,f6_s18_circcmb3)
               => ! [C] :
                    ( m1_subset_1(C,f6_s18_circcmb3)
                   => ! [D] :
                        ( m1_subset_1(D,f6_s18_circcmb3)
                       => ! [E] :
                            ( m1_subset_1(E,f6_s18_circcmb3)
                           => ! [F] :
                                ( m1_subset_1(F,f6_s18_circcmb3)
                               => k1_funct_1(A,k4_circcmb3(B,C,D,E,F)) = f7_s18_circcmb3(B,C,D,E,F) ) ) ) ) ) ) )
      & ~ r2_hidden(k5_circcmb3(k6_circcmb3(np__5,f6_s18_circcmb3,f10_s18_circcmb3,k4_circcmb3(f1_s18_circcmb3,f2_s18_circcmb3,f3_s18_circcmb3,f4_s18_circcmb3,f5_s18_circcmb3))),k2_msafree2(f8_s18_circcmb3)) )
   => ! [A] :
        ( m1_subset_1(A,k4_card_3(u4_msualg_1(k8_circcmb3(f6_s18_circcmb3,f8_s18_circcmb3,k6_circcmb3(np__5,f6_s18_circcmb3,f10_s18_circcmb3,k4_circcmb3(f1_s18_circcmb3,f2_s18_circcmb3,f3_s18_circcmb3,f4_s18_circcmb3,f5_s18_circcmb3))),k9_circcmb3(f6_s18_circcmb3,f8_s18_circcmb3,k6_circcmb3(np__5,f6_s18_circcmb3,f10_s18_circcmb3,k4_circcmb3(f1_s18_circcmb3,f2_s18_circcmb3,f3_s18_circcmb3,f4_s18_circcmb3,f5_s18_circcmb3)),f9_s18_circcmb3,k7_circcmb3(np__5,f6_s18_circcmb3,f10_s18_circcmb3,k4_circcmb3(f1_s18_circcmb3,f2_s18_circcmb3,f3_s18_circcmb3,f4_s18_circcmb3,f5_s18_circcmb3))))))
       => ! [B] :
            ( m1_subset_1(B,k4_card_3(u4_msualg_1(f8_s18_circcmb3,f9_s18_circcmb3)))
           => ( B = k7_relat_1(A,u1_struct_0(f8_s18_circcmb3))
             => ! [C] :
                  ( m1_subset_1(C,f6_s18_circcmb3)
                 => ! [D] :
                      ( m1_subset_1(D,f6_s18_circcmb3)
                     => ! [E] :
                          ( m1_subset_1(E,f6_s18_circcmb3)
                         => ! [F] :
                              ( m1_subset_1(F,f6_s18_circcmb3)
                             => ! [G] :
                                  ( m1_subset_1(G,f6_s18_circcmb3)
                                 => ~ ( ( r2_hidden(f1_s18_circcmb3,k4_msafree2(f8_s18_circcmb3))
                                       => C = k1_funct_1(k1_circcmb3(f8_s18_circcmb3,f9_s18_circcmb3,B),f1_s18_circcmb3) )
                                      & ( ~ r2_hidden(f1_s18_circcmb3,k4_msafree2(f8_s18_circcmb3))
                                       => C = k1_funct_1(A,f1_s18_circcmb3) )
                                      & ( r2_hidden(f2_s18_circcmb3,k4_msafree2(f8_s18_circcmb3))
                                       => D = k1_funct_1(k1_circcmb3(f8_s18_circcmb3,f9_s18_circcmb3,B),f2_s18_circcmb3) )
                                      & ( ~ r2_hidden(f2_s18_circcmb3,k4_msafree2(f8_s18_circcmb3))
                                       => D = k1_funct_1(A,f2_s18_circcmb3) )
                                      & ( r2_hidden(f3_s18_circcmb3,k4_msafree2(f8_s18_circcmb3))
                                       => E = k1_funct_1(k1_circcmb3(f8_s18_circcmb3,f9_s18_circcmb3,B),f3_s18_circcmb3) )
                                      & ( ~ r2_hidden(f3_s18_circcmb3,k4_msafree2(f8_s18_circcmb3))
                                       => E = k1_funct_1(A,f3_s18_circcmb3) )
                                      & ( r2_hidden(f4_s18_circcmb3,k4_msafree2(f8_s18_circcmb3))
                                       => F = k1_funct_1(k1_circcmb3(f8_s18_circcmb3,f9_s18_circcmb3,B),f4_s18_circcmb3) )
                                      & ( ~ r2_hidden(f4_s18_circcmb3,k4_msafree2(f8_s18_circcmb3))
                                       => F = k1_funct_1(A,f4_s18_circcmb3) )
                                      & ( r2_hidden(f5_s18_circcmb3,k4_msafree2(f8_s18_circcmb3))
                                       => G = k1_funct_1(k1_circcmb3(f8_s18_circcmb3,f9_s18_circcmb3,B),f5_s18_circcmb3) )
                                      & ( ~ r2_hidden(f5_s18_circcmb3,k4_msafree2(f8_s18_circcmb3))
                                       => G = k1_funct_1(A,f5_s18_circcmb3) )
                                      & k1_funct_1(k1_circcmb3(k8_circcmb3(f6_s18_circcmb3,f8_s18_circcmb3,k6_circcmb3(np__5,f6_s18_circcmb3,f10_s18_circcmb3,k4_circcmb3(f1_s18_circcmb3,f2_s18_circcmb3,f3_s18_circcmb3,f4_s18_circcmb3,f5_s18_circcmb3))),k9_circcmb3(f6_s18_circcmb3,f8_s18_circcmb3,k6_circcmb3(np__5,f6_s18_circcmb3,f10_s18_circcmb3,k4_circcmb3(f1_s18_circcmb3,f2_s18_circcmb3,f3_s18_circcmb3,f4_s18_circcmb3,f5_s18_circcmb3)),f9_s18_circcmb3,k7_circcmb3(np__5,f6_s18_circcmb3,f10_s18_circcmb3,k4_circcmb3(f1_s18_circcmb3,f2_s18_circcmb3,f3_s18_circcmb3,f4_s18_circcmb3,f5_s18_circcmb3))),A),k5_circcmb3(k6_circcmb3(np__5,f6_s18_circcmb3,f10_s18_circcmb3,k4_circcmb3(f1_s18_circcmb3,f2_s18_circcmb3,f3_s18_circcmb3,f4_s18_circcmb3,f5_s18_circcmb3)))) != f7_s18_circcmb3(C,D,E,F,G) ) ) ) ) ) ) ) ) ) )).

fof(dt_m1_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A) )
     => ! [B] :
          ( m1_circcmb3(B,A)
         => ( ~ v3_struct_0(B)
            & ~ v2_msualg_1(B)
            & v1_circcomb(B)
            & v2_circcomb(B)
            & v5_circcomb(B)
            & l1_msualg_1(B) ) ) ) )).

fof(existence_m1_circcmb3,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A) )
     => ? [B] : m1_circcmb3(B,A) ) )).

fof(dt_m2_circcmb3,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & m1_circcmb3(B,A) )
     => ! [C] :
          ( m2_circcmb3(C,A,B)
         => ( v4_msafree2(C,B)
            & l3_msualg_1(C,B) ) ) ) )).

fof(existence_m2_circcmb3,axiom,(
    ! [A,B] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & m1_circcmb3(B,A) )
     => ? [C] : m2_circcmb3(C,A,B) ) )).

fof(dt_k1_circcmb3,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A)
        & v5_msualg_1(B,A)
        & v4_msafree2(B,A)
        & l3_msualg_1(B,A)
        & m1_subset_1(C,k4_card_3(u4_msualg_1(A,B))) )
     => m1_subset_1(k1_circcmb3(A,B,C),k4_card_3(u4_msualg_1(A,B))) ) )).

fof(dt_k2_circcmb3,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & v2_msafree2(A)
        & l1_msualg_1(A)
        & v5_msualg_1(B,A)
        & v4_msafree2(B,A)
        & l3_msualg_1(B,A)
        & m1_subset_1(C,k4_card_3(u4_msualg_1(A,B))) )
     => m2_subset_1(k2_circcmb3(A,B,C),k1_numbers,k5_numbers) ) )).

fof(dt_k3_circcmb3,axiom,(
    ! [A,B,C,D] : m1_circcomb(k3_circcmb3(A,B,C,D),np__4) )).

fof(redefinition_k3_circcmb3,axiom,(
    ! [A,B,C,D] : k3_circcmb3(A,B,C,D) = k1_scmpds_1(A,B,C,D) )).

fof(dt_k4_circcmb3,axiom,(
    ! [A,B,C,D,E] : m1_circcomb(k4_circcmb3(A,B,C,D,E),np__5) )).

fof(redefinition_k4_circcmb3,axiom,(
    ! [A,B,C,D,E] : k4_circcmb3(A,B,C,D,E) = k2_scmpds_1(A,B,C,D,E) )).

fof(dt_k5_circcmb3,axiom,(
    ! [A] :
      ( ( v4_circcmb3(A)
        & l1_msualg_1(A) )
     => m1_subset_1(k5_circcmb3(A),u1_struct_0(A)) ) )).

fof(dt_k6_circcmb3,axiom,(
    ! [A,B,C,D] :
      ( ( m1_subset_1(A,k5_numbers)
        & ~ v1_xboole_0(B)
        & v1_finset_1(B)
        & v1_funct_1(C)
        & v1_funct_2(C,k4_finseq_2(A,B),B)
        & m1_relset_1(C,k4_finseq_2(A,B),B)
        & m1_circcomb(D,A) )
     => ( v1_msualg_1(k6_circcmb3(A,B,C,D))
        & m1_circcmb3(k6_circcmb3(A,B,C,D),B) ) ) )).

fof(redefinition_k6_circcmb3,axiom,(
    ! [A,B,C,D] :
      ( ( m1_subset_1(A,k5_numbers)
        & ~ v1_xboole_0(B)
        & v1_finset_1(B)
        & v1_funct_1(C)
        & v1_funct_2(C,k4_finseq_2(A,B),B)
        & m1_relset_1(C,k4_finseq_2(A,B),B)
        & m1_circcomb(D,A) )
     => k6_circcmb3(A,B,C,D) = k7_circcomb(C,D) ) )).

fof(dt_k7_circcmb3,axiom,(
    ! [A,B,C,D] :
      ( ( m1_subset_1(A,k5_numbers)
        & ~ v1_xboole_0(B)
        & v1_finset_1(B)
        & v1_funct_1(C)
        & v1_funct_2(C,k4_finseq_2(A,B),B)
        & m1_relset_1(C,k4_finseq_2(A,B),B)
        & m1_circcomb(D,A) )
     => ( v4_msualg_1(k7_circcmb3(A,B,C,D),k6_circcmb3(A,B,C,D))
        & m2_circcmb3(k7_circcmb3(A,B,C,D),B,k6_circcmb3(A,B,C,D)) ) ) )).

fof(redefinition_k7_circcmb3,axiom,(
    ! [A,B,C,D] :
      ( ( m1_subset_1(A,k5_numbers)
        & ~ v1_xboole_0(B)
        & v1_finset_1(B)
        & v1_funct_1(C)
        & v1_funct_2(C,k4_finseq_2(A,B),B)
        & m1_relset_1(C,k4_finseq_2(A,B),B)
        & m1_circcomb(D,A) )
     => k7_circcmb3(A,B,C,D) = k9_circcomb(A,B,C,D) ) )).

fof(dt_k8_circcmb3,axiom,(
    ! [A,B,C] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & m1_circcmb3(B,A)
        & m1_circcmb3(C,A) )
     => ( v1_msualg_1(k8_circcmb3(A,B,C))
        & m1_circcmb3(k8_circcmb3(A,B,C),A) ) ) )).

fof(redefinition_k8_circcmb3,axiom,(
    ! [A,B,C] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & m1_circcmb3(B,A)
        & m1_circcmb3(C,A) )
     => k8_circcmb3(A,B,C) = k3_circcomb(B,C) ) )).

fof(dt_k9_circcmb3,axiom,(
    ! [A,B,C,D,E] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & m1_circcmb3(B,A)
        & m1_circcmb3(C,A)
        & m2_circcmb3(D,A,B)
        & m2_circcmb3(E,A,C) )
     => ( v4_msualg_1(k9_circcmb3(A,B,C,D,E),k8_circcmb3(A,B,C))
        & m2_circcmb3(k9_circcmb3(A,B,C,D,E),A,k8_circcmb3(A,B,C)) ) ) )).

fof(redefinition_k9_circcmb3,axiom,(
    ! [A,B,C,D,E] :
      ( ( ~ v1_xboole_0(A)
        & v1_finset_1(A)
        & m1_circcmb3(B,A)
        & m1_circcmb3(C,A)
        & m2_circcmb3(D,A,B)
        & m2_circcmb3(E,A,C) )
     => k9_circcmb3(A,B,C,D,E) = k4_circcomb(B,C,D,E) ) )).
%------------------------------------------------------------------------------