SET007 Axioms: SET007+686.ax


%------------------------------------------------------------------------------
% File     : SET007+686 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : Circuit Generated by Terms and Circuit Calculating Terms
% 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    : circtrm1 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :  112 (   2 unit)
%            Number of atoms       : 1586 (  83 equality)
%            Maximal formula depth :   31 (  14 average)
%            Number of connectives : 1797 ( 323 ~  ;   0  |; 857  &)
%                                         (  25 <=>; 592 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   56 (   1 propositional; 0-8 arity)
%            Number of functors    :   69 (   7 constant; 0-5 arity)
%            Number of variables   :  617 (   0 singleton; 600 !;  17 ?)
%            Maximal term depth    :    7 (   1 average)
% SPC      : 

% Comments : The individual reference can be found in [Mat90] by looking for
%            the name provided by [Urb08].
%          : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
%          : These set theory axioms are used in encodings of problems in
%            various domains, including ALG, CAT, GRP, LAT, SET, and TOP.
%------------------------------------------------------------------------------
fof(fc1_circtrm1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & ~ v1_xboole_0(C)
        & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
     => ( ~ v3_struct_0(k1_circtrm1(A,B,C))
        & v1_msualg_1(k1_circtrm1(A,B,C))
        & v2_msafree2(k1_circtrm1(A,B,C))
        & v1_circcomb(k1_circtrm1(A,B,C))
        & v1_instalg1(k1_circtrm1(A,B,C)) ) ) )).

fof(fc2_circtrm1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & m3_msaterm(C,A,B) )
     => ( ~ v3_struct_0(k1_circtrm1(A,B,C))
        & v1_msualg_1(k1_circtrm1(A,B,C))
        & ~ v2_msualg_1(k1_circtrm1(A,B,C))
        & v2_msafree2(k1_circtrm1(A,B,C))
        & v1_circcomb(k1_circtrm1(A,B,C))
        & v1_instalg1(k1_circtrm1(A,B,C)) ) ) )).

fof(fc3_circtrm1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & m3_msaterm(C,A,B)
        & m1_subset_1(D,u1_msualg_1(k1_circtrm1(A,B,C))) )
     => ( v1_relat_1(k1_msualg_1(k1_circtrm1(A,B,C),D))
        & v1_funct_1(k1_msualg_1(k1_circtrm1(A,B,C),D))
        & v1_finset_1(k1_msualg_1(k1_circtrm1(A,B,C),D))
        & v1_finseq_1(k1_msualg_1(k1_circtrm1(A,B,C),D))
        & v6_trees_3(k1_msualg_1(k1_circtrm1(A,B,C),D)) ) ) )).

fof(cc1_circtrm1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & ~ v1_xboole_0(C)
        & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
     => ! [D] :
          ( m1_subset_1(D,u1_struct_0(k1_circtrm1(A,B,C)))
         => ( v1_relat_1(D)
            & v1_funct_1(D)
            & v1_finset_1(D) ) ) ) )).

fof(cc2_circtrm1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & ~ v1_xboole_0(C)
        & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
     => ! [D] :
          ( m1_subset_1(D,u1_struct_0(k1_circtrm1(A,B,C)))
         => ( v1_relat_1(D)
            & v1_funct_1(D)
            & v1_finset_1(D)
            & v3_trees_2(D)
            & v3_trees_9(D)
            & v4_trees_9(D) ) ) ) )).

fof(cc3_circtrm1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & m3_msaterm(C,A,B) )
     => ! [D] :
          ( m1_subset_1(D,u1_msualg_1(k1_circtrm1(A,B,C)))
         => ( v1_relat_1(D)
            & v1_funct_1(D)
            & v1_finset_1(D) ) ) ) )).

fof(cc4_circtrm1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & m3_msaterm(C,A,B) )
     => ! [D] :
          ( m1_subset_1(D,u1_msualg_1(k1_circtrm1(A,B,C)))
         => ( v1_relat_1(D)
            & v1_funct_1(D)
            & v1_finset_1(D)
            & v3_trees_2(D)
            & v3_trees_9(D)
            & v4_trees_9(D) ) ) ) )).

fof(fc4_circtrm1,axiom,(
    ! [A,B] :
      ( ( v3_trees_3(A)
        & v3_trees_3(B) )
     => v3_trees_3(k2_xboole_0(A,B)) ) )).

fof(fc5_circtrm1,axiom,(
    ! [A,B,C,D,E] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & ~ v1_xboole_0(C)
        & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B)))
        & m1_subset_1(D,u1_struct_0(k1_circtrm1(A,B,C)))
        & v5_msualg_1(E,A)
        & l3_msualg_1(E,A) )
     => ~ v1_xboole_0(k2_circtrm1(A,B,C,D,E)) ) )).

fof(fc6_circtrm1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & ~ v1_xboole_0(C)
        & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B)))
        & v5_msualg_1(D,A)
        & l3_msualg_1(D,A) )
     => ( v1_relat_1(k4_circtrm1(A,B,C,D))
        & v2_relat_1(k4_circtrm1(A,B,C,D))
        & ~ v3_relat_1(k4_circtrm1(A,B,C,D))
        & v1_funct_1(k4_circtrm1(A,B,C,D)) ) ) )).

fof(fc7_circtrm1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & m3_msaterm(C,A,B)
        & v5_msualg_1(D,A)
        & v4_msafree2(D,A)
        & l3_msualg_1(D,A) )
     => ( v4_msualg_1(k6_circtrm1(A,B,C,D),k1_circtrm1(A,B,C))
        & v5_msualg_1(k6_circtrm1(A,B,C,D),k1_circtrm1(A,B,C))
        & v4_msafree2(k6_circtrm1(A,B,C,D),k1_circtrm1(A,B,C)) ) ) )).

fof(fc8_circtrm1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(B)
        & ~ v2_msualg_1(B)
        & l1_msualg_1(B)
        & v2_relat_1(C)
        & m1_pboole(C,u1_struct_0(B))
        & m1_finseq_1(D,k1_msaterm(B,C)) )
     => ( v1_relat_1(k4_trees_4(A,D))
        & v1_funct_1(k4_trees_4(A,D))
        & v1_finset_1(k4_trees_4(A,D))
        & v3_trees_2(k4_trees_4(A,D))
        & v3_trees_9(k4_trees_4(A,D))
        & v4_trees_9(k4_trees_4(A,D)) ) ) )).

fof(fc9_circtrm1,axiom,(
    ! [A] :
      ( v1_relat_1(k6_relat_1(A))
      & v1_funct_1(k6_relat_1(A))
      & v2_funct_1(k6_relat_1(A)) ) )).

fof(fc10_circtrm1,axiom,(
    ! [A] :
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v2_funct_1(A) )
     => ( v1_relat_1(k2_funct_1(A))
        & v1_funct_1(k2_funct_1(A))
        & v2_funct_1(k2_funct_1(A)) ) ) )).

fof(fc11_circtrm1,axiom,(
    ! [A,B] :
      ( ( v1_relat_1(A)
        & v1_funct_1(A)
        & v2_funct_1(A)
        & v1_relat_1(B)
        & v1_funct_1(B)
        & v2_funct_1(B) )
     => ( v1_relat_1(k5_relat_1(A,B))
        & v1_funct_1(k5_relat_1(A,B))
        & v2_funct_1(k5_relat_1(A,B)) ) ) )).

fof(t1_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m4_msaterm(C,A,B)
             => ! [D] :
                  ( m1_dtconstr(D,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C))
                 => ! [E] :
                      ( m1_dtconstr(E,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u4_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u4_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u4_msualg_1(A,B),C)))
                     => ( E = D
                       => k7_msaterm(A,k2_pboole(u1_struct_0(A),u4_msualg_1(A,B),C),E) = k7_msaterm(A,C,D) ) ) ) ) ) ) )).

fof(d1_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
             => k1_circtrm1(A,B,C) = g1_msualg_1(k9_trees_9(C),k12_trees_9(C,k2_zfmisc_1(u1_msualg_1(A),k1_tarski(u1_struct_0(A)))),k13_trees_9(C,k2_zfmisc_1(u1_msualg_1(A),k1_tarski(u1_struct_0(A)))),k6_funct_3(k9_trees_9(C),k12_trees_9(C,k2_zfmisc_1(u1_msualg_1(A),k1_tarski(u1_struct_0(A)))))) ) ) ) )).

fof(t2_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
             => ( v2_msualg_1(k1_circtrm1(A,B,C))
              <=> ! [D] :
                    ( m3_trees_3(D,C)
                   => ( v1_trees_9(D)
                      & ~ r2_hidden(k1_funct_1(D,k1_xboole_0),k2_zfmisc_1(u1_msualg_1(A),k1_tarski(u1_struct_0(A)))) ) ) ) ) ) ) )).

fof(t3_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
             => ( m3_msaterm(C,A,B)
              <=> ~ v2_msualg_1(k1_circtrm1(A,B,C)) ) ) ) ) )).

fof(t4_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
             => ( ! [D] :
                    ( m1_subset_1(D,u1_struct_0(k1_circtrm1(A,B,C)))
                   => m1_dtconstr(D,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) )
                & ! [D] :
                    ( r2_hidden(D,u1_msualg_1(k1_circtrm1(A,B,C)))
                   => m2_msaterm(D,A,B) ) ) ) ) ) )).

fof(t5_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k1_circtrm1(A,B,C)))
                 => ( r2_hidden(D,u1_msualg_1(k1_circtrm1(A,B,C)))
                  <=> m2_msaterm(D,A,B) ) ) ) ) ) )).

fof(t6_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( m3_msaterm(C,A,B)
             => ! [D] :
                  ( m1_subset_1(D,u1_msualg_1(k1_circtrm1(A,B,C)))
                 => ( k8_funct_2(u1_msualg_1(k1_circtrm1(A,B,C)),u1_struct_0(k1_circtrm1(A,B,C)),u3_msualg_1(k1_circtrm1(A,B,C)),D) = D
                    & k2_msualg_1(k1_circtrm1(A,B,C),D) = D ) ) ) ) ) )).

fof(t7_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B))) )
                 => ( r1_partfun1(u2_msualg_1(k1_circtrm1(A,B,C)),u2_msualg_1(k1_circtrm1(A,B,D)))
                    & r1_partfun1(u3_msualg_1(k1_circtrm1(A,B,C)),u3_msualg_1(k1_circtrm1(A,B,D))) ) ) ) ) ) )).

fof(t8_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v3_trees_3(A) )
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v3_trees_3(B) )
         => k9_trees_9(k2_xboole_0(A,B)) = k2_xboole_0(k9_trees_9(A),k9_trees_9(B)) ) ) )).

fof(t9_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v3_trees_3(A) )
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v3_trees_3(B) )
         => ! [C] : k12_trees_9(k2_xboole_0(A,B),C) = k2_xboole_0(k12_trees_9(A,C),k12_trees_9(B,C)) ) ) )).

fof(t10_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v1_xboole_0(A)
        & v3_trees_3(A) )
     => ! [B] :
          ( ( ~ v1_xboole_0(B)
            & v3_trees_3(B) )
         => ( ( ! [C] :
                  ( m3_trees_3(C,A)
                 => v1_finset_1(C) )
              & ! [C] :
                  ( m3_trees_3(C,B)
                 => v1_finset_1(C) ) )
           => ! [C] : k13_trees_9(k2_xboole_0(A,B),C) = k1_funct_4(k13_trees_9(A,C),k13_trees_9(B,C)) ) ) ) )).

fof(t11_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B))) )
                 => k1_circtrm1(A,B,k4_subset_1(k1_msaterm(A,B),C,D)) = k3_circcomb(k1_circtrm1(A,B,C),k1_circtrm1(A,B,D)) ) ) ) ) )).

fof(t12_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
             => ! [D] :
                  ( r2_hidden(D,k2_msafree2(k1_circtrm1(A,B,C)))
                <=> ( r2_hidden(D,k9_trees_9(C))
                    & ? [E] :
                        ( m1_subset_1(E,u1_struct_0(A))
                        & ? [F] :
                            ( m1_subset_1(F,k1_funct_1(B,E))
                            & D = k1_trees_4(k4_tarski(F,E)) ) ) ) ) ) ) ) )).

fof(t13_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( m3_msaterm(C,A,B)
             => ! [D] :
                  ( m1_subset_1(D,u1_msualg_1(k1_circtrm1(A,B,C)))
                 => D = k4_trees_4(k1_funct_1(D,k1_xboole_0),k1_msualg_1(k1_circtrm1(A,B,C),D)) ) ) ) ) )).

fof(d2_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
             => ! [D] :
                  ( m1_subset_1(D,u1_struct_0(k1_circtrm1(A,B,C)))
                 => ! [E] :
                      ( l3_msualg_1(E,A)
                     => ! [F] :
                          ( F = k2_circtrm1(A,B,C,D,E)
                        <=> ! [G] :
                              ( m1_dtconstr(G,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B))
                             => ( G = D
                               => F = k1_funct_1(u4_msualg_1(A,E),k7_msaterm(A,B,G)) ) ) ) ) ) ) ) ) )).

fof(d3_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
             => ( m3_msaterm(C,A,B)
               => ! [D] :
                    ( m1_subset_1(D,u1_msualg_1(k1_circtrm1(A,B,C)))
                   => ! [E] :
                        ( l3_msualg_1(E,A)
                       => ! [F] :
                            ( ( v1_relat_1(F)
                              & v1_funct_1(F) )
                           => ( F = k3_circtrm1(A,B,C,D,E)
                            <=> ! [G] :
                                  ( m3_msaterm(G,A,B)
                                 => ( G = C
                                   => ! [H] :
                                        ( m1_subset_1(H,u1_msualg_1(k1_circtrm1(A,B,G)))
                                       => ( H = D
                                         => F = k1_funct_1(u5_msualg_1(A,E),k1_mcart_1(k1_funct_1(H,k1_xboole_0))) ) ) ) ) ) ) ) ) ) ) ) ) )).

fof(d4_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
             => ! [D] :
                  ( l3_msualg_1(D,A)
                 => ! [E] :
                      ( m1_pboole(E,u1_struct_0(k1_circtrm1(A,B,C)))
                     => ( E = k4_circtrm1(A,B,C,D)
                      <=> ! [F] :
                            ( m1_subset_1(F,u1_struct_0(k1_circtrm1(A,B,C)))
                           => k1_funct_1(E,F) = k2_circtrm1(A,B,C,F,D) ) ) ) ) ) ) ) )).

fof(t14_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( ( v5_msualg_1(C,A)
                & l3_msualg_1(C,A) )
             => ! [D] :
                  ( m3_msaterm(D,A,B)
                 => ! [E] :
                      ( m1_subset_1(E,u1_msualg_1(k1_circtrm1(A,B,D)))
                     => ! [F] :
                          ( m1_subset_1(F,u1_msualg_1(A))
                         => ( k1_funct_1(E,k1_xboole_0) = k4_tarski(F,u1_struct_0(A))
                           => k5_relat_1(k1_msualg_1(k1_circtrm1(A,B,D),E),k4_circtrm1(A,B,D,C)) = k5_relat_1(k1_msualg_1(A,F),u4_msualg_1(A,C)) ) ) ) ) ) ) ) )).

fof(d5_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
             => ! [D] :
                  ( ( v5_msualg_1(D,A)
                    & l3_msualg_1(D,A) )
                 => ! [E] :
                      ( m3_pboole(E,u1_msualg_1(k1_circtrm1(A,B,C)),k8_pboole(u1_msualg_1(k1_circtrm1(A,B,C)),k3_finseq_2(u1_struct_0(k1_circtrm1(A,B,C))),u2_msualg_1(k1_circtrm1(A,B,C)),k6_pboole(u1_struct_0(k1_circtrm1(A,B,C)),k4_circtrm1(A,B,C,D))),k8_pboole(u1_msualg_1(k1_circtrm1(A,B,C)),u1_struct_0(k1_circtrm1(A,B,C)),u3_msualg_1(k1_circtrm1(A,B,C)),k4_circtrm1(A,B,C,D)))
                     => ( E = k5_circtrm1(A,B,C,D)
                      <=> ! [F] :
                            ( m1_subset_1(F,u1_msualg_1(k1_circtrm1(A,B,C)))
                           => ( r2_hidden(F,u1_msualg_1(k1_circtrm1(A,B,C)))
                             => k1_funct_1(E,F) = k3_circtrm1(A,B,C,F,D) ) ) ) ) ) ) ) ) )).

fof(d6_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( ( ~ v1_xboole_0(C)
                & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
             => ! [D] :
                  ( ( v5_msualg_1(D,A)
                    & l3_msualg_1(D,A) )
                 => k6_circtrm1(A,B,C,D) = g3_msualg_1(k1_circtrm1(A,B,C),k4_circtrm1(A,B,C,D),k5_circtrm1(A,B,C,D)) ) ) ) ) )).

fof(t15_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( ( v5_msualg_1(C,A)
                & l3_msualg_1(C,A) )
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B))) )
                 => ! [E] :
                      ( m1_subset_1(E,u1_struct_0(k1_circtrm1(A,B,D)))
                     => k1_funct_1(u4_msualg_1(k1_circtrm1(A,B,D),k6_circtrm1(A,B,D,C)),E) = k2_circtrm1(A,B,D,E,C) ) ) ) ) ) )).

fof(t16_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( ( v5_msualg_1(C,A)
                & v4_msafree2(C,A)
                & l3_msualg_1(C,A) )
             => ! [D] :
                  ( m3_msaterm(D,A,B)
                 => ! [E] :
                      ( m1_subset_1(E,u1_msualg_1(k1_circtrm1(A,B,D)))
                     => k5_msualg_1(k1_circtrm1(A,B,D),E,k6_circtrm1(A,B,D,C)) = k3_circtrm1(A,B,D,E,C) ) ) ) ) ) )).

fof(t17_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( ( v5_msualg_1(C,A)
                & v4_msafree2(C,A)
                & l3_msualg_1(C,A) )
             => ! [D] :
                  ( m3_msaterm(D,A,B)
                 => ! [E] :
                      ( m1_subset_1(E,u1_msualg_1(k1_circtrm1(A,B,D)))
                     => ! [F] :
                          ( m1_subset_1(F,u1_msualg_1(A))
                         => ( k1_funct_1(E,k1_xboole_0) = k4_tarski(F,u1_struct_0(A))
                           => k5_msualg_1(k1_circtrm1(A,B,D),E,k6_circtrm1(A,B,D,C)) = k5_msualg_1(A,F,C) ) ) ) ) ) ) ) )).

fof(t18_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( ( v5_msualg_1(C,A)
                & v4_msafree2(C,A)
                & l3_msualg_1(C,A) )
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B))) )
                 => v4_msafree2(k6_circtrm1(A,B,D,C),k1_circtrm1(A,B,D)) ) ) ) ) )).

fof(t19_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( m3_msaterm(C,A,B)
             => ! [D] :
                  ( m3_msaterm(D,A,B)
                 => ! [E] :
                      ( ( v5_msualg_1(E,A)
                        & l3_msualg_1(E,A) )
                     => r2_circcomb(k1_circtrm1(A,B,C),k1_circtrm1(A,B,D),k6_circtrm1(A,B,C,E),k6_circtrm1(A,B,D,E)) ) ) ) ) ) )).

fof(t20_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( m3_msaterm(C,A,B)
             => ! [D] :
                  ( m3_msaterm(D,A,B)
                 => ! [E] :
                      ( ( v5_msualg_1(E,A)
                        & l3_msualg_1(E,A) )
                     => k6_circtrm1(A,B,k4_subset_1(k1_msaterm(A,B),C,D),E) = k4_circcomb(k1_circtrm1(A,B,C),k1_circtrm1(A,B,D),k6_circtrm1(A,B,C,E),k6_circtrm1(A,B,D,E)) ) ) ) ) ) )).

fof(d7_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m4_msaterm(C,A,B)
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D)
                    & v3_trees_2(D) )
                 => ( m1_dtconstr(D,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C))
                   => ! [E] :
                        ( m3_pboole(E,u1_struct_0(A),C,u4_msualg_1(A,B))
                       => ! [F] :
                            ( F = k7_circtrm1(A,B,C,D,E)
                          <=> ? [G] :
                                ( m1_dtconstr(G,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u4_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u4_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u4_msualg_1(A,B),C)))
                                & G = D
                                & F = k9_msaterm(A,B,C,G,E) ) ) ) ) ) ) ) ) )).

fof(d8_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( m3_msaterm(C,A,B)
             => ! [D] :
                  ( ( v5_msualg_1(D,A)
                    & v4_msafree2(D,A)
                    & l3_msualg_1(D,A) )
                 => ! [E] :
                      ( m1_subset_1(E,k4_card_3(u4_msualg_1(k1_circtrm1(A,B,C),k6_circtrm1(A,B,C,D))))
                     => ! [F] :
                          ( m3_pboole(F,u1_struct_0(A),B,u4_msualg_1(A,D))
                         => ( m1_circtrm1(F,A,B,C,D,E)
                          <=> ! [G] :
                                ( m1_subset_1(G,u1_struct_0(A))
                               => ! [H] :
                                    ( m1_subset_1(H,k1_funct_1(B,G))
                                   => ( r2_hidden(k1_trees_4(k4_tarski(H,G)),k9_trees_9(C))
                                     => k1_funct_1(k1_funct_1(F,G),H) = k1_funct_1(E,k1_trees_4(k4_tarski(H,G))) ) ) ) ) ) ) ) ) ) ) )).

fof(t21_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m4_msaterm(C,A,B)
             => ! [D] :
                  ( m3_msaterm(D,A,C)
                 => ! [E] :
                      ( m1_subset_1(E,k4_card_3(u4_msualg_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B))))
                     => ! [F] :
                          ( m1_circtrm1(F,A,C,D,B,E)
                         => ! [G] :
                              ( m2_subset_1(G,k1_numbers,k5_numbers)
                             => m1_circtrm1(F,A,C,D,B,k9_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,G)) ) ) ) ) ) ) ) )).

fof(t22_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m4_msaterm(C,A,B)
             => ! [D] :
                  ( m3_msaterm(D,A,C)
                 => ! [E] :
                      ( m1_subset_1(E,k4_card_3(u4_msualg_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B))))
                     => ! [F] :
                          ( m1_circtrm1(F,A,C,D,B,E)
                         => ! [G] :
                              ( m1_dtconstr(G,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C))
                             => ( r2_hidden(G,k9_trees_9(D))
                               => ( r1_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),k9_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k1_nat_1(np__1,k6_trees_1(k1_relat_1(G)))),G)
                                  & k1_funct_1(k9_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k1_nat_1(np__1,k6_trees_1(k1_relat_1(G)))),G) = k7_circtrm1(A,B,C,G,F) ) ) ) ) ) ) ) ) ) )).

fof(t23_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m4_msaterm(C,A,B)
             => ! [D] :
                  ( m3_msaterm(D,A,C)
                 => ( ! [E] :
                        ( m1_dtconstr(E,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C))
                       => ! [F] :
                            ( m1_subset_1(F,u1_msualg_1(A))
                           => ~ ( r2_hidden(E,k9_trees_9(D))
                                & k1_funct_1(E,k1_xboole_0) = k4_tarski(F,u1_struct_0(A))
                                & k1_msualg_1(A,F) = k1_xboole_0 ) ) )
                   => ! [E] :
                        ( m1_subset_1(E,k4_card_3(u4_msualg_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B))))
                       => ! [F] :
                            ( m1_circtrm1(F,A,C,D,B,E)
                           => ! [G] :
                                ( m1_dtconstr(G,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C))
                               => ( r2_hidden(G,k9_trees_9(D))
                                 => ( r1_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),k9_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k6_trees_1(k1_relat_1(G))),G)
                                    & k1_funct_1(k9_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k6_trees_1(k1_relat_1(G))),G) = k7_circtrm1(A,B,C,G,F) ) ) ) ) ) ) ) ) ) ) )).

fof(d9_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ( r1_circtrm1(A,B,C,D)
                  <=> ( v2_funct_1(C)
                      & v2_funct_1(D)
                      & r3_pua2mss1(A,B,C,D)
                      & r3_pua2mss1(B,A,k2_funct_1(C),k2_funct_1(D)) ) ) ) ) ) ) )).

fof(t24_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ( r1_circtrm1(A,B,C,D)
                   => ( u1_struct_0(B) = k9_relat_1(C,u1_struct_0(A))
                      & u1_msualg_1(B) = k9_relat_1(D,u1_msualg_1(A)) ) ) ) ) ) ) )).

fof(t25_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ( r1_circtrm1(A,B,C,D)
                   => ( k2_relat_1(C) = u1_struct_0(B)
                      & k2_relat_1(D) = u1_msualg_1(B) ) ) ) ) ) ) )).

fof(t26_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => r1_circtrm1(A,A,k6_partfun1(u1_struct_0(A)),k6_partfun1(u1_msualg_1(A))) ) )).

fof(t27_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ( r1_circtrm1(A,B,C,D)
                   => r1_circtrm1(B,A,k2_funct_1(C),k2_funct_1(D)) ) ) ) ) ) )).

fof(t28_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & l1_msualg_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v1_relat_1(E)
                        & v1_funct_1(E) )
                     => ! [F] :
                          ( ( v1_relat_1(F)
                            & v1_funct_1(F) )
                         => ! [G] :
                              ( ( v1_relat_1(G)
                                & v1_funct_1(G) )
                             => ( ( r1_circtrm1(A,B,D,E)
                                  & r1_circtrm1(B,C,F,G) )
                               => r1_circtrm1(A,C,k5_relat_1(D,F),k5_relat_1(E,G)) ) ) ) ) ) ) ) ) )).

fof(t29_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ( r1_circtrm1(A,B,C,D)
                   => ( k9_relat_1(C,k2_msafree2(A)) = k2_msafree2(B)
                      & k9_relat_1(C,k3_msafree2(A)) = k3_msafree2(B) ) ) ) ) ) ) )).

fof(d10_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ( r2_circtrm1(A,B)
          <=> ? [C] :
                ( v1_relat_1(C)
                & v1_funct_1(C)
                & v2_funct_1(C)
                & ? [D] :
                    ( v1_relat_1(D)
                    & v1_funct_1(D)
                    & v2_funct_1(D)
                    & r1_circtrm1(A,B,C,D) ) ) ) ) ) )).

fof(t30_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & l1_msualg_1(C) )
             => ( ( r2_circtrm1(A,B)
                  & r2_circtrm1(B,C) )
               => r2_circtrm1(A,C) ) ) ) ) )).

fof(d11_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ( r3_circtrm1(A,B,C)
              <=> r1_tarski(k9_relat_1(C,k2_msafree2(A)),k2_msafree2(B)) ) ) ) ) )).

fof(t31_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ( r3_pua2mss1(A,B,C,D)
                   => ! [E] :
                        ( m1_subset_1(E,u1_struct_0(A))
                       => m1_subset_1(k1_funct_1(C,E),u1_struct_0(B)) ) ) ) ) ) ) )).

fof(t32_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & ~ v2_msualg_1(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ( r3_pua2mss1(A,B,C,D)
                   => ! [E] :
                        ( m1_subset_1(E,u1_msualg_1(A))
                       => m1_subset_1(k1_funct_1(D,E),u1_msualg_1(B)) ) ) ) ) ) ) )).

fof(t33_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ( r3_pua2mss1(A,B,C,D)
                   => r1_tarski(k9_relat_1(C,k3_msafree2(A)),k3_msafree2(B)) ) ) ) ) ) )).

fof(t34_circtrm1,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] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ( r3_pua2mss1(A,B,C,D)
                   => ! [E] :
                        ( m1_subset_1(E,u1_struct_0(A))
                       => ( r2_hidden(E,k4_msafree2(A))
                         => ! [F] :
                              ( m1_subset_1(F,u1_struct_0(B))
                             => ( F = k1_funct_1(C,E)
                               => k5_msafree2(B,F) = k1_funct_1(D,k5_msafree2(A,E)) ) ) ) ) ) ) ) ) ) )).

fof(d12_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v5_msualg_1(E,A)
                        & l3_msualg_1(E,A) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,B)
                            & l3_msualg_1(F,B) )
                         => ( r4_circtrm1(A,B,C,D,E,F)
                          <=> ( v2_funct_1(C)
                              & v2_funct_1(D)
                              & r3_pua2mss1(A,B,C,D)
                              & u4_msualg_1(A,E) = k5_relat_1(C,u4_msualg_1(B,F))
                              & u5_msualg_1(A,E) = k5_relat_1(D,u5_msualg_1(B,F)) ) ) ) ) ) ) ) ) )).

fof(t35_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & l3_msualg_1(B,A) )
         => r4_circtrm1(A,A,k6_partfun1(u1_struct_0(A)),k6_partfun1(u1_msualg_1(A)),B,B) ) ) )).

fof(t36_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & l1_msualg_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v1_relat_1(E)
                        & v1_funct_1(E) )
                     => ! [F] :
                          ( ( v1_relat_1(F)
                            & v1_funct_1(F) )
                         => ! [G] :
                              ( ( v1_relat_1(G)
                                & v1_funct_1(G) )
                             => ! [H] :
                                  ( ( v5_msualg_1(H,A)
                                    & l3_msualg_1(H,A) )
                                 => ! [I] :
                                      ( ( v5_msualg_1(I,B)
                                        & l3_msualg_1(I,B) )
                                     => ! [J] :
                                          ( ( v5_msualg_1(J,C)
                                            & l3_msualg_1(J,C) )
                                         => ( ( r4_circtrm1(A,B,D,E,H,I)
                                              & r4_circtrm1(B,C,F,G,I,J) )
                                           => r4_circtrm1(A,C,k5_relat_1(D,F),k5_relat_1(E,G),H,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(d13_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v5_msualg_1(E,A)
                        & l3_msualg_1(E,A) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,B)
                            & l3_msualg_1(F,B) )
                         => ( r5_circtrm1(A,B,C,D,E,F)
                          <=> ( r4_circtrm1(A,B,C,D,E,F)
                              & r4_circtrm1(B,A,k2_funct_1(C),k2_funct_1(D),F,E) ) ) ) ) ) ) ) ) )).

fof(t37_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v5_msualg_1(E,A)
                        & l3_msualg_1(E,A) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,B)
                            & l3_msualg_1(F,B) )
                         => ( r5_circtrm1(A,B,C,D,E,F)
                           => r1_circtrm1(A,B,C,D) ) ) ) ) ) ) ) )).

fof(t38_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v5_msualg_1(E,A)
                        & l3_msualg_1(E,A) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,B)
                            & l3_msualg_1(F,B) )
                         => ( r5_circtrm1(A,B,C,D,E,F)
                          <=> ( r1_circtrm1(A,B,C,D)
                              & u4_msualg_1(A,E) = k5_relat_1(C,u4_msualg_1(B,F))
                              & u5_msualg_1(A,E) = k5_relat_1(D,u5_msualg_1(B,F)) ) ) ) ) ) ) ) ) )).

fof(t39_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & l3_msualg_1(B,A) )
         => r5_circtrm1(A,A,k6_partfun1(u1_struct_0(A)),k6_partfun1(u1_msualg_1(A)),B,B) ) ) )).

fof(t40_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v5_msualg_1(E,A)
                        & l3_msualg_1(E,A) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,B)
                            & l3_msualg_1(F,B) )
                         => ( r5_circtrm1(A,B,C,D,E,F)
                           => r5_circtrm1(B,A,k2_funct_1(C),k2_funct_1(D),F,E) ) ) ) ) ) ) ) )).

fof(t41_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( ~ v3_struct_0(C)
                & l1_msualg_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v1_relat_1(E)
                        & v1_funct_1(E) )
                     => ! [F] :
                          ( ( v1_relat_1(F)
                            & v1_funct_1(F) )
                         => ! [G] :
                              ( ( v1_relat_1(G)
                                & v1_funct_1(G) )
                             => ! [H] :
                                  ( ( v5_msualg_1(H,A)
                                    & l3_msualg_1(H,A) )
                                 => ! [I] :
                                      ( ( v5_msualg_1(I,B)
                                        & l3_msualg_1(I,B) )
                                     => ! [J] :
                                          ( ( v5_msualg_1(J,C)
                                            & l3_msualg_1(J,C) )
                                         => ( ( r5_circtrm1(A,B,D,E,H,I)
                                              & r5_circtrm1(B,C,F,G,I,J) )
                                           => r5_circtrm1(A,C,k5_relat_1(D,F),k5_relat_1(E,G),H,J) ) ) ) ) ) ) ) ) ) ) ) )).

fof(d14_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & l1_msualg_1(B) )
         => ! [C] :
              ( ( v5_msualg_1(C,A)
                & l3_msualg_1(C,A) )
             => ! [D] :
                  ( ( v5_msualg_1(D,B)
                    & l3_msualg_1(D,B) )
                 => ( r6_circtrm1(A,B,C,D)
                  <=> ? [E] :
                        ( v1_relat_1(E)
                        & v1_funct_1(E)
                        & ? [F] :
                            ( v1_relat_1(F)
                            & v1_funct_1(F)
                            & r5_circtrm1(A,B,E,F,C,D) ) ) ) ) ) ) ) )).

fof(t42_circtrm1,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] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v5_msualg_1(E,A)
                        & v4_msafree2(E,A)
                        & l3_msualg_1(E,A) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,B)
                            & v4_msafree2(F,B)
                            & l3_msualg_1(F,B) )
                         => ( r4_circtrm1(A,B,C,D,E,F)
                           => ( k1_relat_1(C) = u1_struct_0(A)
                              & r1_tarski(k2_relat_1(C),u1_struct_0(B))
                              & k1_relat_1(D) = u1_msualg_1(A)
                              & r1_tarski(k2_relat_1(D),u1_msualg_1(B)) ) ) ) ) ) ) ) ) )).

fof(t43_circtrm1,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] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v5_msualg_1(E,A)
                        & v4_msafree2(E,A)
                        & l3_msualg_1(E,A) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,B)
                            & v4_msafree2(F,B)
                            & l3_msualg_1(F,B) )
                         => ( r4_circtrm1(A,B,C,D,E,F)
                           => ! [G] :
                                ( m1_subset_1(G,u1_msualg_1(A))
                               => ! [H] :
                                    ( m1_subset_1(H,u1_msualg_1(B))
                                   => ( H = k1_funct_1(D,G)
                                     => k5_msualg_1(B,H,F) = k5_msualg_1(A,G,E) ) ) ) ) ) ) ) ) ) ) )).

fof(t44_circtrm1,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] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v5_msualg_1(E,A)
                        & v4_msafree2(E,A)
                        & l3_msualg_1(E,A) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,B)
                            & v4_msafree2(F,B)
                            & l3_msualg_1(F,B) )
                         => ( r4_circtrm1(A,B,C,D,E,F)
                           => ! [G] :
                                ( m1_subset_1(G,u1_msualg_1(A))
                               => ! [H] :
                                    ( m1_subset_1(H,u1_msualg_1(B))
                                   => ( H = k1_funct_1(D,G)
                                     => ! [I] :
                                          ( m1_subset_1(I,k4_card_3(u4_msualg_1(A,E)))
                                         => ! [J] :
                                              ( m1_subset_1(J,k4_card_3(u4_msualg_1(B,F)))
                                             => ( I = k5_relat_1(C,J)
                                               => k3_circuit1(B,F,J,H) = k3_circuit1(A,E,I,G) ) ) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t45_circtrm1,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] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v5_msualg_1(E,A)
                        & v4_msafree2(E,A)
                        & l3_msualg_1(E,A) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,B)
                            & v4_msafree2(F,B)
                            & l3_msualg_1(F,B) )
                         => ( r4_circtrm1(A,B,C,D,E,F)
                           => ! [G] :
                                ( m1_subset_1(G,k4_card_3(u4_msualg_1(B,F)))
                               => m1_subset_1(k5_relat_1(C,G),k4_card_3(u4_msualg_1(A,E))) ) ) ) ) ) ) ) ) )).

fof(t46_circtrm1,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] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v5_msualg_1(E,B)
                        & v4_msafree2(E,B)
                        & l3_msualg_1(E,B) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,A)
                            & v4_msafree2(F,A)
                            & l3_msualg_1(F,A) )
                         => ( r4_circtrm1(B,A,C,D,E,F)
                           => ! [G] :
                                ( m1_subset_1(G,k4_card_3(u4_msualg_1(A,F)))
                               => ! [H] :
                                    ( m1_subset_1(H,k4_card_3(u4_msualg_1(B,E)))
                                   => ( ( H = k5_relat_1(C,G)
                                        & ! [I] :
                                            ( m1_subset_1(I,u1_struct_0(B))
                                           => ( r2_hidden(I,k2_msafree2(B))
                                             => r1_facirc_1(A,F,G,k1_funct_1(C,I)) ) ) )
                                     => k6_circuit2(B,E,H) = k5_relat_1(C,k6_circuit2(A,F,G)) ) ) ) ) ) ) ) ) ) ) )).

fof(t47_circtrm1,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] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v5_msualg_1(E,A)
                        & v4_msafree2(E,A)
                        & l3_msualg_1(E,A) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,B)
                            & v4_msafree2(F,B)
                            & l3_msualg_1(F,B) )
                         => ( ( r4_circtrm1(A,B,C,D,E,F)
                              & r3_circtrm1(A,B,C) )
                           => ! [G] :
                                ( m1_subset_1(G,k4_card_3(u4_msualg_1(B,F)))
                               => ! [H] :
                                    ( m1_subset_1(H,k4_card_3(u4_msualg_1(A,E)))
                                   => ( H = k5_relat_1(C,G)
                                     => k6_circuit2(A,E,H) = k5_relat_1(C,k6_circuit2(B,F,G)) ) ) ) ) ) ) ) ) ) ) )).

fof(t48_circtrm1,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] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v5_msualg_1(E,A)
                        & v4_msafree2(E,A)
                        & l3_msualg_1(E,A) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,B)
                            & v4_msafree2(F,B)
                            & l3_msualg_1(F,B) )
                         => ( ( r4_circtrm1(A,B,C,D,E,F)
                              & r3_circtrm1(A,B,C) )
                           => ! [G] :
                                ( m1_subset_1(G,k4_card_3(u4_msualg_1(B,F)))
                               => ! [H] :
                                    ( m1_subset_1(H,k4_card_3(u4_msualg_1(A,E)))
                                   => ( H = k5_relat_1(C,G)
                                     => ! [I] :
                                          ( m2_subset_1(I,k1_numbers,k5_numbers)
                                         => k9_facirc_1(A,E,H,I) = k5_relat_1(C,k9_facirc_1(B,F,G,I)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t49_circtrm1,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] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v5_msualg_1(E,A)
                        & v4_msafree2(E,A)
                        & l3_msualg_1(E,A) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,B)
                            & v4_msafree2(F,B)
                            & l3_msualg_1(F,B) )
                         => ( ( r4_circtrm1(A,B,C,D,E,F)
                              & r3_circtrm1(A,B,C) )
                           => ! [G] :
                                ( m1_subset_1(G,k4_card_3(u4_msualg_1(B,F)))
                               => ! [H] :
                                    ( m1_subset_1(H,k4_card_3(u4_msualg_1(A,E)))
                                   => ( ( H = k5_relat_1(C,G)
                                        & v1_circuit2(G,B,F) )
                                     => v1_circuit2(H,A,E) ) ) ) ) ) ) ) ) ) ) )).

fof(t50_circtrm1,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] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v5_msualg_1(E,A)
                        & v4_msafree2(E,A)
                        & l3_msualg_1(E,A) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,B)
                            & v4_msafree2(F,B)
                            & l3_msualg_1(F,B) )
                         => ( ( r4_circtrm1(A,B,C,D,E,F)
                              & r3_circtrm1(A,B,C) )
                           => ! [G] :
                                ( m1_subset_1(G,k4_card_3(u4_msualg_1(B,F)))
                               => ! [H] :
                                    ( m1_subset_1(H,k4_card_3(u4_msualg_1(A,E)))
                                   => ( H = k5_relat_1(C,G)
                                     => ! [I] :
                                          ( m1_subset_1(I,u1_struct_0(A))
                                         => ( r1_facirc_1(A,E,H,I)
                                          <=> r1_facirc_1(B,F,G,k1_funct_1(C,I)) ) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t51_circtrm1,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] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v5_msualg_1(E,A)
                        & v4_msafree2(E,A)
                        & l3_msualg_1(E,A) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,B)
                            & v4_msafree2(F,B)
                            & l3_msualg_1(F,B) )
                         => ( r5_circtrm1(A,B,C,D,E,F)
                           => ! [G] :
                                ( m1_subset_1(G,k4_card_3(u4_msualg_1(B,F)))
                               => m1_subset_1(k5_relat_1(C,G),k4_card_3(u4_msualg_1(A,E))) ) ) ) ) ) ) ) ) )).

fof(t52_circtrm1,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] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v5_msualg_1(E,A)
                        & v4_msafree2(E,A)
                        & l3_msualg_1(E,A) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,B)
                            & v4_msafree2(F,B)
                            & l3_msualg_1(F,B) )
                         => ( r5_circtrm1(A,B,C,D,E,F)
                           => ! [G] :
                                ( m1_subset_1(G,k4_card_3(u4_msualg_1(A,E)))
                               => ! [H] :
                                    ( m1_subset_1(H,k4_card_3(u4_msualg_1(B,F)))
                                   => ( G = k5_relat_1(C,H)
                                    <=> H = k5_relat_1(k2_funct_1(C),G) ) ) ) ) ) ) ) ) ) ) )).

fof(t53_circtrm1,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] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v5_msualg_1(E,A)
                        & v4_msafree2(E,A)
                        & l3_msualg_1(E,A) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,B)
                            & v4_msafree2(F,B)
                            & l3_msualg_1(F,B) )
                         => ( r5_circtrm1(A,B,C,D,E,F)
                           => ( k9_relat_1(C,k2_msafree2(A)) = k2_msafree2(B)
                              & k9_relat_1(C,k4_msafree2(A)) = k4_msafree2(B) ) ) ) ) ) ) ) ) )).

fof(t54_circtrm1,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] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v5_msualg_1(E,A)
                        & v4_msafree2(E,A)
                        & l3_msualg_1(E,A) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,B)
                            & v4_msafree2(F,B)
                            & l3_msualg_1(F,B) )
                         => ( r5_circtrm1(A,B,C,D,E,F)
                           => r3_circtrm1(A,B,C) ) ) ) ) ) ) ) )).

fof(t55_circtrm1,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] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v5_msualg_1(E,A)
                        & v4_msafree2(E,A)
                        & l3_msualg_1(E,A) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,B)
                            & v4_msafree2(F,B)
                            & l3_msualg_1(F,B) )
                         => ( r5_circtrm1(A,B,C,D,E,F)
                           => ! [G] :
                                ( m1_subset_1(G,k4_card_3(u4_msualg_1(A,E)))
                               => ! [H] :
                                    ( m1_subset_1(H,k4_card_3(u4_msualg_1(B,F)))
                                   => ( G = k5_relat_1(C,H)
                                     => k6_circuit2(A,E,G) = k5_relat_1(C,k6_circuit2(B,F,H)) ) ) ) ) ) ) ) ) ) ) )).

fof(t56_circtrm1,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] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v5_msualg_1(E,A)
                        & v4_msafree2(E,A)
                        & l3_msualg_1(E,A) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,B)
                            & v4_msafree2(F,B)
                            & l3_msualg_1(F,B) )
                         => ( r5_circtrm1(A,B,C,D,E,F)
                           => ! [G] :
                                ( m1_subset_1(G,k4_card_3(u4_msualg_1(A,E)))
                               => ! [H] :
                                    ( m1_subset_1(H,k4_card_3(u4_msualg_1(B,F)))
                                   => ( G = k5_relat_1(C,H)
                                     => ! [I] :
                                          ( m2_subset_1(I,k1_numbers,k5_numbers)
                                         => k9_facirc_1(A,E,G,I) = k5_relat_1(C,k9_facirc_1(B,F,H,I)) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t57_circtrm1,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] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v5_msualg_1(E,A)
                        & v4_msafree2(E,A)
                        & l3_msualg_1(E,A) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,B)
                            & v4_msafree2(F,B)
                            & l3_msualg_1(F,B) )
                         => ( r5_circtrm1(A,B,C,D,E,F)
                           => ! [G] :
                                ( m1_subset_1(G,k4_card_3(u4_msualg_1(A,E)))
                               => ! [H] :
                                    ( m1_subset_1(H,k4_card_3(u4_msualg_1(B,F)))
                                   => ( G = k5_relat_1(C,H)
                                     => ( v1_circuit2(G,A,E)
                                      <=> v1_circuit2(H,B,F) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t58_circtrm1,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] :
              ( ( v1_relat_1(C)
                & v1_funct_1(C) )
             => ! [D] :
                  ( ( v1_relat_1(D)
                    & v1_funct_1(D) )
                 => ! [E] :
                      ( ( v5_msualg_1(E,B)
                        & v4_msafree2(E,B)
                        & l3_msualg_1(E,B) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,A)
                            & v4_msafree2(F,A)
                            & l3_msualg_1(F,A) )
                         => ( r5_circtrm1(B,A,C,D,E,F)
                           => ! [G] :
                                ( m1_subset_1(G,k4_card_3(u4_msualg_1(B,E)))
                               => ! [H] :
                                    ( m1_subset_1(H,k4_card_3(u4_msualg_1(A,F)))
                                   => ( G = k5_relat_1(C,H)
                                     => ! [I] :
                                          ( m1_subset_1(I,u1_struct_0(B))
                                         => ( r1_facirc_1(B,E,G,I)
                                          <=> r1_facirc_1(A,F,H,k1_funct_1(C,I)) ) ) ) ) ) ) ) ) ) ) ) ) )).

fof(d15_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( ( v2_relat_1(C)
                & m1_pboole(C,u1_struct_0(A)) )
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,C))) )
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & ~ v2_msualg_1(E)
                        & v2_msafree2(E)
                        & l1_msualg_1(E) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,E)
                            & v4_msafree2(F,E)
                            & l3_msualg_1(F,E) )
                         => ( r7_circtrm1(A,B,C,D,E,F)
                          <=> ? [G] :
                                ( v1_relat_1(G)
                                & v1_funct_1(G)
                                & ? [H] :
                                    ( v1_relat_1(H)
                                    & v1_funct_1(H)
                                    & r4_circtrm1(k1_circtrm1(A,C,D),E,G,H,k6_circtrm1(A,C,D,B),F)
                                    & r3_circtrm1(k1_circtrm1(A,C,D),E,G) ) ) ) ) ) ) ) ) ) )).

fof(d16_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( ( v2_relat_1(C)
                & m1_pboole(C,u1_struct_0(A)) )
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,C))) )
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & ~ v2_msualg_1(E)
                        & v2_msafree2(E)
                        & l1_msualg_1(E) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,E)
                            & v4_msafree2(F,E)
                            & l3_msualg_1(F,E) )
                         => ( r8_circtrm1(A,B,C,D,E,F)
                          <=> r6_circtrm1(E,k1_circtrm1(A,C,D),F,k6_circtrm1(A,C,D,B)) ) ) ) ) ) ) ) )).

fof(d17_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( ( v5_msualg_1(C,A)
                & l3_msualg_1(C,A) )
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B))) )
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & ~ v2_msualg_1(E)
                        & v2_msafree2(E)
                        & l1_msualg_1(E) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,E)
                            & v4_msafree2(F,E)
                            & l3_msualg_1(F,E) )
                         => ( r7_circtrm1(A,C,B,D,E,F)
                           => ! [G] :
                                ( ( v1_relat_1(G)
                                  & v1_funct_1(G)
                                  & v2_funct_1(G) )
                               => ( m2_circtrm1(G,A,B,C,D,E,F)
                                <=> ( r3_circtrm1(k1_circtrm1(A,B,D),E,G)
                                    & ? [H] :
                                        ( v1_relat_1(H)
                                        & v1_funct_1(H)
                                        & r4_circtrm1(k1_circtrm1(A,B,D),E,G,H,k6_circtrm1(A,B,D,C),F) ) ) ) ) ) ) ) ) ) ) ) )).

fof(d18_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v2_relat_1(B)
            & m1_pboole(B,u1_struct_0(A)) )
         => ! [C] :
              ( ( v5_msualg_1(C,A)
                & l3_msualg_1(C,A) )
             => ! [D] :
                  ( ( ~ v1_xboole_0(D)
                    & m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B))) )
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & ~ v2_msualg_1(E)
                        & v2_msafree2(E)
                        & l1_msualg_1(E) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,E)
                            & v4_msafree2(F,E)
                            & l3_msualg_1(F,E) )
                         => ( r7_circtrm1(A,C,B,D,E,F)
                           => ! [G] :
                                ( m2_circtrm1(G,A,B,C,D,E,F)
                               => ! [H] :
                                    ( ( v1_relat_1(H)
                                      & v1_funct_1(H)
                                      & v2_funct_1(H) )
                                   => ( m3_circtrm1(H,A,B,C,D,E,F,G)
                                    <=> r4_circtrm1(k1_circtrm1(A,B,D),E,G,H,k6_circtrm1(A,B,D,C),F) ) ) ) ) ) ) ) ) ) ) )).

fof(t59_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m4_msaterm(C,A,B)
             => ! [D] :
                  ( m3_msaterm(D,A,C)
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & ~ v2_msualg_1(E)
                        & v2_msafree2(E)
                        & l1_msualg_1(E) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,E)
                            & v4_msafree2(F,E)
                            & l3_msualg_1(F,E) )
                         => ( r8_circtrm1(A,B,C,D,E,F)
                           => r7_circtrm1(A,B,C,D,E,F) ) ) ) ) ) ) ) )).

fof(t60_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m4_msaterm(C,A,B)
             => ! [D] :
                  ( m3_msaterm(D,A,C)
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & ~ v2_msualg_1(E)
                        & v2_msafree2(E)
                        & l1_msualg_1(E) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,E)
                            & v4_msafree2(F,E)
                            & l3_msualg_1(F,E) )
                         => ( r7_circtrm1(A,B,C,D,E,F)
                           => ! [G] :
                                ( m2_circtrm1(G,A,C,B,D,E,F)
                               => ! [H] :
                                    ( m1_dtconstr(H,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C))
                                   => ( r2_hidden(H,k9_trees_9(D))
                                     => ! [I] :
                                          ( m1_subset_1(I,k4_card_3(u4_msualg_1(E,F)))
                                         => ( r1_facirc_1(E,F,k9_facirc_1(E,F,I,k1_nat_1(np__1,k6_trees_1(k1_relat_1(H)))),k1_funct_1(G,H))
                                            & ! [J] :
                                                ( m1_subset_1(J,k4_card_3(u4_msualg_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B))))
                                               => ( J = k5_relat_1(G,I)
                                                 => ! [K] :
                                                      ( m1_circtrm1(K,A,C,D,B,J)
                                                     => k1_funct_1(k9_facirc_1(E,F,I,k1_nat_1(np__1,k6_trees_1(k1_relat_1(H)))),k1_funct_1(G,H)) = k7_circtrm1(A,B,C,H,K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t61_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m4_msaterm(C,A,B)
             => ! [D] :
                  ( m3_msaterm(D,A,C)
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & ~ v2_msualg_1(E)
                        & v2_msafree2(E)
                        & l1_msualg_1(E) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,E)
                            & v4_msafree2(F,E)
                            & l3_msualg_1(F,E) )
                         => ( r7_circtrm1(A,B,C,D,E,F)
                           => ! [G] :
                                ( m1_dtconstr(G,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C))
                               => ~ ( r2_hidden(G,k9_trees_9(D))
                                    & ! [H] :
                                        ( m1_subset_1(H,u1_struct_0(E))
                                       => ~ ! [I] :
                                              ( m1_subset_1(I,k4_card_3(u4_msualg_1(E,F)))
                                             => ( r1_facirc_1(E,F,k9_facirc_1(E,F,I,k1_nat_1(np__1,k6_trees_1(k1_relat_1(G)))),H)
                                                & ? [J] :
                                                    ( m2_circtrm1(J,A,C,B,D,E,F)
                                                    & ! [K] :
                                                        ( m1_subset_1(K,k4_card_3(u4_msualg_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B))))
                                                       => ( K = k5_relat_1(J,I)
                                                         => ! [L] :
                                                              ( m1_circtrm1(L,A,C,D,B,K)
                                                             => k1_funct_1(k9_facirc_1(E,F,I,k1_nat_1(np__1,k6_trees_1(k1_relat_1(G)))),H) = k7_circtrm1(A,B,C,G,L) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t62_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m4_msaterm(C,A,B)
             => ! [D] :
                  ( m3_msaterm(D,A,C)
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & ~ v2_msualg_1(E)
                        & v2_msafree2(E)
                        & l1_msualg_1(E) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,E)
                            & v4_msafree2(F,E)
                            & l3_msualg_1(F,E) )
                         => ( r8_circtrm1(A,B,C,D,E,F)
                           => ! [G] :
                                ( m2_circtrm1(G,A,C,B,D,E,F)
                               => ! [H] :
                                    ( m1_subset_1(H,k4_card_3(u4_msualg_1(E,F)))
                                   => ! [I] :
                                        ( m1_dtconstr(I,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C))
                                       => ( r2_hidden(I,k9_trees_9(D))
                                         => ( r1_facirc_1(E,F,k9_facirc_1(E,F,H,k1_nat_1(np__1,k6_trees_1(k1_relat_1(I)))),k1_funct_1(G,I))
                                            & ! [J] :
                                                ( m1_subset_1(J,k4_card_3(u4_msualg_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B))))
                                               => ( J = k5_relat_1(G,H)
                                                 => ! [K] :
                                                      ( m1_circtrm1(K,A,C,D,B,J)
                                                     => k1_funct_1(k9_facirc_1(E,F,H,k1_nat_1(np__1,k6_trees_1(k1_relat_1(I)))),k1_funct_1(G,I)) = k7_circtrm1(A,B,C,I,K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).

fof(t63_circtrm1,axiom,(
    ! [A] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A) )
     => ! [B] :
          ( ( v5_msualg_1(B,A)
            & v4_msafree2(B,A)
            & l3_msualg_1(B,A) )
         => ! [C] :
              ( m4_msaterm(C,A,B)
             => ! [D] :
                  ( m3_msaterm(D,A,C)
                 => ! [E] :
                      ( ( ~ v3_struct_0(E)
                        & ~ v2_msualg_1(E)
                        & v2_msafree2(E)
                        & l1_msualg_1(E) )
                     => ! [F] :
                          ( ( v5_msualg_1(F,E)
                            & v4_msafree2(F,E)
                            & l3_msualg_1(F,E) )
                         => ( r8_circtrm1(A,B,C,D,E,F)
                           => ! [G] :
                                ( m1_dtconstr(G,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C))
                               => ~ ( r2_hidden(G,k9_trees_9(D))
                                    & ! [H] :
                                        ( m1_subset_1(H,u1_struct_0(E))
                                       => ~ ! [I] :
                                              ( m1_subset_1(I,k4_card_3(u4_msualg_1(E,F)))
                                             => ( r1_facirc_1(E,F,k9_facirc_1(E,F,I,k1_nat_1(np__1,k6_trees_1(k1_relat_1(G)))),H)
                                                & ? [J] :
                                                    ( m2_circtrm1(J,A,C,B,D,E,F)
                                                    & ! [K] :
                                                        ( m1_subset_1(K,k4_card_3(u4_msualg_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B))))
                                                       => ( K = k5_relat_1(J,I)
                                                         => ! [L] :
                                                              ( m1_circtrm1(L,A,C,D,B,K)
                                                             => k1_funct_1(k9_facirc_1(E,F,I,k1_nat_1(np__1,k6_trees_1(k1_relat_1(G)))),H) = k7_circtrm1(A,B,C,G,L) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )).

fof(s1_circtrm1,axiom,
    ( ! [A] :
        ( m1_subset_1(A,f1_s1_circtrm1)
       => ! [B] :
            ( m1_subset_1(B,k1_funct_1(f2_s1_circtrm1,A))
           => ? [C] :
                ( m1_subset_1(C,k1_funct_1(f3_s1_circtrm1,A))
                & p1_s1_circtrm1(A,B,C) ) ) )
   => ? [A] :
        ( m3_pboole(A,f1_s1_circtrm1,f2_s1_circtrm1,f3_s1_circtrm1)
        & ! [B] :
            ( m1_subset_1(B,f1_s1_circtrm1)
           => ! [C] :
                ( m1_subset_1(C,k1_funct_1(f2_s1_circtrm1,B))
               => p1_s1_circtrm1(B,C,k1_funct_1(k1_funct_1(A,B),C)) ) ) ) )).

fof(dt_m1_circtrm1,axiom,(
    ! [A,B,C,D,E] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & m3_msaterm(C,A,B)
        & v5_msualg_1(D,A)
        & v4_msafree2(D,A)
        & l3_msualg_1(D,A)
        & m1_subset_1(E,k4_card_3(u4_msualg_1(k1_circtrm1(A,B,C),k6_circtrm1(A,B,C,D)))) )
     => ! [F] :
          ( m1_circtrm1(F,A,B,C,D,E)
         => m3_pboole(F,u1_struct_0(A),B,u4_msualg_1(A,D)) ) ) )).

fof(existence_m1_circtrm1,axiom,(
    ! [A,B,C,D,E] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & m3_msaterm(C,A,B)
        & v5_msualg_1(D,A)
        & v4_msafree2(D,A)
        & l3_msualg_1(D,A)
        & m1_subset_1(E,k4_card_3(u4_msualg_1(k1_circtrm1(A,B,C),k6_circtrm1(A,B,C,D)))) )
     => ? [F] : m1_circtrm1(F,A,B,C,D,E) ) )).

fof(dt_m2_circtrm1,axiom,(
    ! [A,B,C,D,E,F] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & v5_msualg_1(C,A)
        & l3_msualg_1(C,A)
        & ~ v1_xboole_0(D)
        & m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B)))
        & ~ v3_struct_0(E)
        & ~ v2_msualg_1(E)
        & v2_msafree2(E)
        & l1_msualg_1(E)
        & v5_msualg_1(F,E)
        & v4_msafree2(F,E)
        & l3_msualg_1(F,E) )
     => ! [G] :
          ( m2_circtrm1(G,A,B,C,D,E,F)
         => ( v1_relat_1(G)
            & v1_funct_1(G)
            & v2_funct_1(G) ) ) ) )).

fof(existence_m2_circtrm1,axiom,(
    ! [A,B,C,D,E,F] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & v5_msualg_1(C,A)
        & l3_msualg_1(C,A)
        & ~ v1_xboole_0(D)
        & m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B)))
        & ~ v3_struct_0(E)
        & ~ v2_msualg_1(E)
        & v2_msafree2(E)
        & l1_msualg_1(E)
        & v5_msualg_1(F,E)
        & v4_msafree2(F,E)
        & l3_msualg_1(F,E) )
     => ? [G] : m2_circtrm1(G,A,B,C,D,E,F) ) )).

fof(dt_m3_circtrm1,axiom,(
    ! [A,B,C,D,E,F,G] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & v5_msualg_1(C,A)
        & l3_msualg_1(C,A)
        & ~ v1_xboole_0(D)
        & m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B)))
        & ~ v3_struct_0(E)
        & ~ v2_msualg_1(E)
        & v2_msafree2(E)
        & l1_msualg_1(E)
        & v5_msualg_1(F,E)
        & v4_msafree2(F,E)
        & l3_msualg_1(F,E)
        & m2_circtrm1(G,A,B,C,D,E,F) )
     => ! [H] :
          ( m3_circtrm1(H,A,B,C,D,E,F,G)
         => ( v1_relat_1(H)
            & v1_funct_1(H)
            & v2_funct_1(H) ) ) ) )).

fof(existence_m3_circtrm1,axiom,(
    ! [A,B,C,D,E,F,G] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & v5_msualg_1(C,A)
        & l3_msualg_1(C,A)
        & ~ v1_xboole_0(D)
        & m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B)))
        & ~ v3_struct_0(E)
        & ~ v2_msualg_1(E)
        & v2_msafree2(E)
        & l1_msualg_1(E)
        & v5_msualg_1(F,E)
        & v4_msafree2(F,E)
        & l3_msualg_1(F,E)
        & m2_circtrm1(G,A,B,C,D,E,F) )
     => ? [H] : m3_circtrm1(H,A,B,C,D,E,F,G) ) )).

fof(symmetry_r2_circtrm1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A)
        & ~ v3_struct_0(B)
        & l1_msualg_1(B) )
     => ( r2_circtrm1(A,B)
       => r2_circtrm1(B,A) ) ) )).

fof(reflexivity_r2_circtrm1,axiom,(
    ! [A,B] :
      ( ( ~ v3_struct_0(A)
        & l1_msualg_1(A)
        & ~ v3_struct_0(B)
        & l1_msualg_1(B) )
     => r2_circtrm1(A,A) ) )).

fof(dt_k1_circtrm1,axiom,(
    ! [A,B,C] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & ~ v1_xboole_0(C)
        & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
     => ( ~ v3_struct_0(k1_circtrm1(A,B,C))
        & v1_msualg_1(k1_circtrm1(A,B,C))
        & l1_msualg_1(k1_circtrm1(A,B,C)) ) ) )).

fof(dt_k2_circtrm1,axiom,(
    $true )).

fof(dt_k3_circtrm1,axiom,(
    ! [A,B,C,D,E] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & ~ v1_xboole_0(C)
        & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B)))
        & m1_subset_1(D,u1_msualg_1(k1_circtrm1(A,B,C)))
        & l3_msualg_1(E,A) )
     => ( v1_relat_1(k3_circtrm1(A,B,C,D,E))
        & v1_funct_1(k3_circtrm1(A,B,C,D,E)) ) ) )).

fof(dt_k4_circtrm1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & ~ v1_xboole_0(C)
        & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B)))
        & l3_msualg_1(D,A) )
     => m1_pboole(k4_circtrm1(A,B,C,D),u1_struct_0(k1_circtrm1(A,B,C))) ) )).

fof(dt_k5_circtrm1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & ~ v1_xboole_0(C)
        & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B)))
        & v5_msualg_1(D,A)
        & l3_msualg_1(D,A) )
     => m3_pboole(k5_circtrm1(A,B,C,D),u1_msualg_1(k1_circtrm1(A,B,C)),k8_pboole(u1_msualg_1(k1_circtrm1(A,B,C)),k3_finseq_2(u1_struct_0(k1_circtrm1(A,B,C))),u2_msualg_1(k1_circtrm1(A,B,C)),k6_pboole(u1_struct_0(k1_circtrm1(A,B,C)),k4_circtrm1(A,B,C,D))),k8_pboole(u1_msualg_1(k1_circtrm1(A,B,C)),u1_struct_0(k1_circtrm1(A,B,C)),u3_msualg_1(k1_circtrm1(A,B,C)),k4_circtrm1(A,B,C,D))) ) )).

fof(dt_k6_circtrm1,axiom,(
    ! [A,B,C,D] :
      ( ( ~ v3_struct_0(A)
        & ~ v2_msualg_1(A)
        & l1_msualg_1(A)
        & v2_relat_1(B)
        & m1_pboole(B,u1_struct_0(A))
        & ~ v1_xboole_0(C)
        & m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B)))
        & v5_msualg_1(D,A)
        & l3_msualg_1(D,A) )
     => ( v4_msualg_1(k6_circtrm1(A,B,C,D),k1_circtrm1(A,B,C))
        & v5_msualg_1(k6_circtrm1(A,B,C,D),k1_circtrm1(A,B,C))
        & l3_msualg_1(k6_circtrm1(A,B,C,D),k1_circtrm1(A,B,C)) ) ) )).

fof(dt_k7_circtrm1,axiom,(
    $true )).
%------------------------------------------------------------------------------