SET007 Axioms: SET007+452.ax


%------------------------------------------------------------------------------
% File     : SET007+452 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : The SCMFSA Computer
% 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    : scmfsa_2 [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :  178 (  26 unit)
%            Number of atoms       :  736 ( 233 equality)
%            Maximal formula depth :   22 (   6 average)
%            Number of connectives :  659 ( 101 ~  ;   0  |; 169  &)
%                                         (  12 <=>; 377 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   31 (   1 propositional; 0-3 arity)
%            Number of functors    :  107 (  29 constant; 0-8 arity)
%            Number of variables   :  387 (   0 singleton; 362 !;  25 ?)
%            Maximal term depth    :    7 (   2 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_scmfsa_2,axiom,
    ( ~ v3_struct_0(k1_scmfsa_2)
    & v1_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
    & ~ v2_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))) )).

fof(fc2_scmfsa_2,axiom,(
    ! [A] :
      ( m1_subset_1(A,u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ( v4_ordinal2(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A))
        & v1_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A))
        & ~ v3_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A))
        & v1_int_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A))
        & v1_xcmplx_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A)) ) ) )).

fof(fc3_scmfsa_2,axiom,
    ( ~ v3_struct_0(k1_scmfsa_2)
    & v1_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
    & ~ v2_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
    & v5_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
    & v6_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
    & v7_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
    & v8_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
    & v10_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))) )).

fof(fc4_scmfsa_2,axiom,
    ( ~ v3_struct_0(k1_scmfsa_2)
    & v1_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
    & ~ v2_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
    & v4_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
    & v5_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
    & v6_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
    & v7_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
    & v8_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
    & v10_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))) )).

fof(t1_scmfsa_2,axiom,(
    $true )).

fof(t2_scmfsa_2,axiom,(
    $true )).

fof(t3_scmfsa_2,axiom,(
    ! [A] :
      ( v1_setfam_1(A)
     => ! [B] :
          ( ( ~ v2_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u5_ami_1(A,B)))
             => r1_tarski(u2_ami_1(A,B),k1_relat_1(C)) ) ) ) )).

fof(t4_scmfsa_2,axiom,(
    ! [A] :
      ( v1_setfam_1(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & v5_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u5_ami_1(A,B)))
             => r2_hidden(k6_ami_1(A,B,C),k1_relat_1(C)) ) ) ) )).

fof(t5_scmfsa_2,axiom,(
    ! [A] :
      ( v1_setfam_1(A)
     => ! [B] :
          ( ( ~ v3_struct_0(B)
            & ~ v2_ami_1(B,A)
            & l1_ami_1(B,A) )
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u5_ami_1(A,B)))
             => ! [D] :
                  ( m1_struct_0(D,B,u2_ami_1(A,B))
                 => r2_hidden(D,k1_relat_1(C)) ) ) ) ) )).

fof(d1_scmfsa_2,axiom,(
    k1_scmfsa_2 = g1_ami_1(k2_tarski(k4_numbers,k13_finseq_1(k4_numbers)),k4_numbers,k1_funct_7(np__0,k4_numbers),k3_scmfsa_1,k1_gr_cy_1(np__13),k4_scmfsa_1,k6_scmfsa_1,k20_scmfsa_1) )).

fof(t6_scmfsa_2,axiom,
    ( u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) != k4_numbers
    & u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) != k4_numbers
    & u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) != u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
    & u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) != k3_finseq_2(k4_numbers)
    & u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) != k3_finseq_2(k4_numbers) )).

fof(t7_scmfsa_2,axiom,(
    k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) = np__0 )).

fof(d2_scmfsa_2,axiom,(
    k2_scmfsa_2 = k1_scmfsa_1 )).

fof(d3_scmfsa_2,axiom,(
    k3_scmfsa_2 = k2_scmfsa_1 )).

fof(t8_scmfsa_2,axiom,(
    u1_struct_0(k1_scmfsa_2) = k4_subset_1(u1_struct_0(k1_scmfsa_2),k4_subset_1(u1_struct_0(k1_scmfsa_2),k4_subset_1(u1_struct_0(k1_scmfsa_2),k2_scmfsa_2,k3_scmfsa_2),k1_struct_0(k1_scmfsa_2,k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))),u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) )).

fof(d4_scmfsa_2,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k1_scmfsa_2))
     => ( m1_scmfsa_2(A)
      <=> r2_hidden(A,k1_scmfsa_1) ) ) )).

fof(d5_scmfsa_2,axiom,(
    ! [A] :
      ( m1_subset_1(A,u1_struct_0(k1_scmfsa_2))
     => ( m2_scmfsa_2(A)
      <=> r2_hidden(A,k2_scmfsa_1) ) ) )).

fof(t9_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => r2_hidden(A,k2_scmfsa_2) ) )).

fof(t10_scmfsa_2,axiom,(
    ! [A] :
      ( m2_scmfsa_2(A)
     => r2_hidden(A,k3_scmfsa_2) ) )).

fof(t11_scmfsa_2,axiom,(
    ! [A] :
      ( r2_hidden(A,k2_scmfsa_2)
     => m1_scmfsa_2(A) ) )).

fof(t12_scmfsa_2,axiom,(
    ! [A] :
      ( r2_hidden(A,k3_scmfsa_2)
     => m2_scmfsa_2(A) ) )).

fof(t13_scmfsa_2,axiom,(
    r1_xboole_0(k2_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) )).

fof(t14_scmfsa_2,axiom,(
    r1_xboole_0(k3_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) )).

fof(t15_scmfsa_2,axiom,(
    r1_xboole_0(k2_scmfsa_2,k3_scmfsa_2) )).

fof(d6_scmfsa_2,axiom,(
    ! [A] :
      ( v4_ordinal2(A)
     => k4_scmfsa_2(A) = k15_ami_3(A) ) )).

fof(d7_scmfsa_2,axiom,(
    ! [A] :
      ( v4_ordinal2(A)
     => k5_scmfsa_2(A) = k16_ami_3(A) ) )).

fof(d8_scmfsa_2,axiom,(
    ! [A] :
      ( v4_ordinal2(A)
     => k6_scmfsa_2(A) = k4_xcmplx_0(k2_xcmplx_0(A,np__1)) ) )).

fof(t16_scmfsa_2,axiom,(
    ! [A] :
      ( v4_ordinal2(A)
     => ! [B] :
          ( v4_ordinal2(B)
         => ~ ( A != B
              & k4_scmfsa_2(A) = k4_scmfsa_2(B) ) ) ) )).

fof(t17_scmfsa_2,axiom,(
    ! [A] :
      ( v4_ordinal2(A)
     => ! [B] :
          ( v4_ordinal2(B)
         => ~ ( A != B
              & k6_scmfsa_2(A) = k6_scmfsa_2(B) ) ) ) )).

fof(t18_scmfsa_2,axiom,(
    ! [A] :
      ( v4_ordinal2(A)
     => ! [B] :
          ( v4_ordinal2(B)
         => ~ ( A != B
              & k5_scmfsa_2(A) = k5_scmfsa_2(B) ) ) ) )).

fof(t19_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ? [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
          & A = k4_scmfsa_2(B) ) ) )).

fof(t20_scmfsa_2,axiom,(
    ! [A] :
      ( m2_scmfsa_2(A)
     => ? [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
          & A = k6_scmfsa_2(B) ) ) )).

fof(t21_scmfsa_2,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ? [B] :
          ( m2_subset_1(B,k1_numbers,k5_numbers)
          & A = k5_scmfsa_2(B) ) ) )).

fof(t22_scmfsa_2,axiom,(
    ~ v1_finset_1(k2_scmfsa_2) )).

fof(t23_scmfsa_2,axiom,(
    ~ v1_finset_1(k3_scmfsa_2) )).

fof(t24_scmfsa_2,axiom,(
    ~ v1_finset_1(u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) )).

fof(t25_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => m1_ami_3(A) ) )).

fof(t26_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => k3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = k4_numbers ) )).

fof(t27_scmfsa_2,axiom,(
    ! [A] :
      ( m2_scmfsa_2(A)
     => k3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = k3_finseq_2(k4_numbers) ) )).

fof(t28_scmfsa_2,axiom,(
    ! [A] :
      ( r2_hidden(A,k1_scmfsa_1)
     => m1_scmfsa_2(A) ) )).

fof(t29_scmfsa_2,axiom,(
    ! [A] :
      ( r2_hidden(A,k2_scmfsa_1)
     => m2_scmfsa_2(A) ) )).

fof(t30_scmfsa_2,axiom,(
    ! [A] :
      ( r2_hidden(A,k3_scmfsa_1)
     => m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) )).

fof(d9_scmfsa_2,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ! [B] :
          ( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
         => ( B = k7_scmfsa_2(A)
          <=> ? [C] :
                ( m2_subset_1(C,k4_numbers,k3_scmfsa_1)
                & C = A
                & B = k17_scmfsa_1(C) ) ) ) ) )).

fof(t31_scmfsa_2,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ! [B] :
          ( m2_subset_1(B,k4_numbers,k3_scmfsa_1)
         => ( B = A
           => k17_scmfsa_1(B) = k7_scmfsa_2(A) ) ) ) )).

fof(t32_scmfsa_2,axiom,(
    ! [A] :
      ( v4_ordinal2(A)
     => k7_scmfsa_2(k5_scmfsa_2(A)) = k5_scmfsa_2(k2_xcmplx_0(A,np__1)) ) )).

fof(t33_scmfsa_2,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ! [B] :
          ( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => ( A = B
           => k7_scmfsa_2(A) = k11_ami_3(B) ) ) ) )).

fof(t34_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ( r1_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A),np__8)
       => m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k1_tarski(k4_numbers),k1_ami_3),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),u1_struct_0(k1_ami_3)))),u4_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) )).

fof(t35_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => r1_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A),np__12) ) )).

fof(t36_scmfsa_2,axiom,(
    $true )).

fof(t37_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ! [B] :
          ( m2_subset_1(B,k2_zfmisc_1(u3_ami_1(k1_tarski(k4_numbers),k1_ami_3),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),u1_struct_0(k1_ami_3)))),u4_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => ( A = B
           => k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,B) ) ) ) )).

fof(t38_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k1_tarski(k4_numbers),k1_ami_3),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),u1_struct_0(k1_ami_3)))),u4_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) )).

fof(d10_scmfsa_2,axiom,(
    $true )).

fof(d11_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
             => ( C = k8_scmfsa_2(A,B)
              <=> ? [D] :
                    ( m1_ami_3(D)
                    & ? [E] :
                        ( m1_ami_3(E)
                        & A = D
                        & B = E
                        & C = k3_ami_3(D,E) ) ) ) ) ) ) )).

fof(d12_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
             => ( C = k9_scmfsa_2(A,B)
              <=> ? [D] :
                    ( m1_ami_3(D)
                    & ? [E] :
                        ( m1_ami_3(E)
                        & A = D
                        & B = E
                        & C = k4_ami_3(D,E) ) ) ) ) ) ) )).

fof(d13_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
             => ( C = k10_scmfsa_2(A,B)
              <=> ? [D] :
                    ( m1_ami_3(D)
                    & ? [E] :
                        ( m1_ami_3(E)
                        & A = D
                        & B = E
                        & C = k5_ami_3(D,E) ) ) ) ) ) ) )).

fof(d14_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
             => ( C = k11_scmfsa_2(A,B)
              <=> ? [D] :
                    ( m1_ami_3(D)
                    & ? [E] :
                        ( m1_ami_3(E)
                        & A = D
                        & B = E
                        & C = k6_ami_3(D,E) ) ) ) ) ) ) )).

fof(d15_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
             => ( C = k12_scmfsa_2(A,B)
              <=> ? [D] :
                    ( m1_ami_3(D)
                    & ? [E] :
                        ( m1_ami_3(E)
                        & A = D
                        & B = E
                        & C = k7_ami_3(D,E) ) ) ) ) ) ) )).

fof(t39_scmfsa_2,axiom,(
    u2_ami_1(k1_tarski(k4_numbers),k1_ami_3) = u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )).

fof(d16_scmfsa_2,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ! [B] :
          ( m2_subset_1(B,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
         => ( B = k13_scmfsa_2(A)
          <=> ? [C] :
                ( m1_struct_0(C,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
                & A = C
                & B = k8_ami_3(C) ) ) ) ) )).

fof(d17_scmfsa_2,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
             => ( C = k14_scmfsa_2(A,B)
              <=> ? [D] :
                    ( m1_ami_3(D)
                    & ? [E] :
                        ( m1_struct_0(E,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
                        & B = D
                        & A = E
                        & C = k9_ami_3(E,D) ) ) ) ) ) ) )).

fof(d18_scmfsa_2,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
             => ( C = k15_scmfsa_2(A,B)
              <=> ? [D] :
                    ( m1_ami_3(D)
                    & ? [E] :
                        ( m1_struct_0(E,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
                        & B = D
                        & A = E
                        & C = k10_ami_3(E,D) ) ) ) ) ) ) )).

fof(d19_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m2_scmfsa_2(C)
             => k16_scmfsa_2(A,B,C) = k4_tarski(np__9,k3_finseq_4(u1_struct_0(k1_scmfsa_2),A,C,B)) ) ) ) )).

fof(d20_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m2_scmfsa_2(C)
             => k17_scmfsa_2(A,B,C) = k4_tarski(np__10,k3_finseq_4(u1_struct_0(k1_scmfsa_2),A,C,B)) ) ) ) )).

fof(d21_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m2_scmfsa_2(B)
         => k18_scmfsa_2(A,B) = k4_tarski(np__11,k2_finseq_4(u1_struct_0(k1_scmfsa_2),A,B)) ) ) )).

fof(d22_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m2_scmfsa_2(B)
         => k19_scmfsa_2(A,B) = k4_tarski(np__12,k2_finseq_4(u1_struct_0(k1_scmfsa_2),A,B)) ) ) )).

fof(t40_scmfsa_2,axiom,(
    $true )).

fof(t41_scmfsa_2,axiom,(
    $true )).

fof(t42_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B)) = np__1 ) ) )).

fof(t43_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B)) = np__2 ) ) )).

fof(t44_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B)) = np__3 ) ) )).

fof(t45_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B)) = np__4 ) ) )).

fof(t46_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B)) = np__5 ) ) )).

fof(t47_scmfsa_2,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k13_scmfsa_2(A)) = np__6 ) )).

fof(t48_scmfsa_2,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ! [B] :
          ( m1_scmfsa_2(B)
         => k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k14_scmfsa_2(A,B)) = np__7 ) ) )).

fof(t49_scmfsa_2,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ! [B] :
          ( m1_scmfsa_2(B)
         => k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k15_scmfsa_2(A,B)) = np__8 ) ) )).

fof(t50_scmfsa_2,axiom,(
    ! [A] :
      ( m2_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m1_scmfsa_2(C)
             => k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(B,C,A)) = np__9 ) ) ) )).

fof(t51_scmfsa_2,axiom,(
    ! [A] :
      ( m2_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m1_scmfsa_2(C)
             => k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(C,B,A)) = np__10 ) ) ) )).

fof(t52_scmfsa_2,axiom,(
    ! [A] :
      ( m2_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(B,A)) = np__11 ) ) )).

fof(t53_scmfsa_2,axiom,(
    ! [A] :
      ( m2_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(B,A)) = np__12 ) ) )).

fof(t54_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__1
          & ! [B] :
              ( m1_scmfsa_2(B)
             => ! [C] :
                  ( m1_scmfsa_2(C)
                 => A != k8_scmfsa_2(B,C) ) ) ) ) )).

fof(t55_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__2
          & ! [B] :
              ( m1_scmfsa_2(B)
             => ! [C] :
                  ( m1_scmfsa_2(C)
                 => A != k9_scmfsa_2(B,C) ) ) ) ) )).

fof(t56_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__3
          & ! [B] :
              ( m1_scmfsa_2(B)
             => ! [C] :
                  ( m1_scmfsa_2(C)
                 => A != k10_scmfsa_2(B,C) ) ) ) ) )).

fof(t57_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__4
          & ! [B] :
              ( m1_scmfsa_2(B)
             => ! [C] :
                  ( m1_scmfsa_2(C)
                 => A != k11_scmfsa_2(B,C) ) ) ) ) )).

fof(t58_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__5
          & ! [B] :
              ( m1_scmfsa_2(B)
             => ! [C] :
                  ( m1_scmfsa_2(C)
                 => A != k12_scmfsa_2(B,C) ) ) ) ) )).

fof(t59_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__6
          & ! [B] :
              ( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
             => A != k13_scmfsa_2(B) ) ) ) )).

fof(t60_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__7
          & ! [B] :
              ( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
             => ! [C] :
                  ( m1_scmfsa_2(C)
                 => A != k14_scmfsa_2(B,C) ) ) ) ) )).

fof(t61_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__8
          & ! [B] :
              ( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
             => ! [C] :
                  ( m1_scmfsa_2(C)
                 => A != k15_scmfsa_2(B,C) ) ) ) ) )).

fof(t62_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__9
          & ! [B] :
              ( m1_scmfsa_2(B)
             => ! [C] :
                  ( m1_scmfsa_2(C)
                 => ! [D] :
                      ( m2_scmfsa_2(D)
                     => A != k16_scmfsa_2(C,B,D) ) ) ) ) ) )).

fof(t63_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__10
          & ! [B] :
              ( m1_scmfsa_2(B)
             => ! [C] :
                  ( m1_scmfsa_2(C)
                 => ! [D] :
                      ( m2_scmfsa_2(D)
                     => A != k17_scmfsa_2(C,B,D) ) ) ) ) ) )).

fof(t64_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__11
          & ! [B] :
              ( m1_scmfsa_2(B)
             => ! [C] :
                  ( m2_scmfsa_2(C)
                 => A != k18_scmfsa_2(B,C) ) ) ) ) )).

fof(t65_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__12
          & ! [B] :
              ( m1_scmfsa_2(B)
             => ! [C] :
                  ( m2_scmfsa_2(C)
                 => A != k19_scmfsa_2(B,C) ) ) ) ) )).

fof(t66_scmfsa_2,axiom,(
    ! [A] :
      ( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
     => ! [B] :
          ( m1_scmfsa_2(B)
         => r2_hidden(B,k1_relat_1(A)) ) ) )).

fof(t67_scmfsa_2,axiom,(
    ! [A] :
      ( m2_scmfsa_2(A)
     => ! [B] :
          ( m1_subset_1(B,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
         => r2_hidden(A,k1_relat_1(B)) ) ) )).

fof(t68_scmfsa_2,axiom,(
    ! [A] :
      ( m2_scmfsa_2(A)
     => ! [B] :
          ( m1_subset_1(B,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
         => ~ r2_hidden(A,k1_relat_1(B)) ) ) )).

fof(t69_scmfsa_2,axiom,(
    ! [A] :
      ( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
     => r1_tarski(k2_scmfsa_2,k1_relat_1(A)) ) )).

fof(t70_scmfsa_2,axiom,(
    ! [A] :
      ( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
     => r1_tarski(k3_scmfsa_2,k1_relat_1(A)) ) )).

fof(t71_scmfsa_2,axiom,(
    ! [A] :
      ( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
     => k1_relat_1(k7_relat_1(A,k2_scmfsa_2)) = k2_scmfsa_2 ) )).

fof(t72_scmfsa_2,axiom,(
    ! [A] :
      ( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
     => k1_relat_1(k7_relat_1(A,k3_scmfsa_2)) = k3_scmfsa_2 ) )).

fof(t73_scmfsa_2,axiom,(
    ! [A] :
      ( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
     => ! [B] :
          ( m2_subset_1(B,k2_zfmisc_1(u3_ami_1(k1_tarski(k4_numbers),k1_ami_3),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),u1_struct_0(k1_ami_3)))),u4_ami_1(k1_tarski(k4_numbers),k1_ami_3))
         => m1_subset_1(k1_funct_4(k7_relat_1(A,k5_numbers),k2_funcop_1(k3_ami_2,B)),k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3))) ) ) )).

fof(t74_scmfsa_2,axiom,(
    ! [A] :
      ( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
     => ! [B] :
          ( m1_subset_1(B,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
         => m1_subset_1(k1_funct_4(k1_funct_4(A,B),k7_relat_1(A,k3_scmfsa_1)),k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))) ) ) )).

fof(t75_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k1_tarski(k4_numbers),k1_ami_3),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),u1_struct_0(k1_ami_3)))),u4_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ! [B] :
          ( m2_subset_1(B,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
             => ! [D] :
                  ( m1_subset_1(D,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
                 => ( ( A = B
                      & C = k1_funct_4(k7_relat_1(D,k5_numbers),k2_funcop_1(k3_ami_2,A)) )
                   => k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B,D) = k1_funct_4(k1_funct_4(D,k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,A,C)),k7_relat_1(D,k3_scmfsa_1)) ) ) ) ) ) )).

fof(t76_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k1_tarski(k4_numbers),k1_ami_3),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),u1_struct_0(k1_ami_3)))),u4_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ! [B] :
          ( m1_subset_1(B,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
             => ( B = k1_funct_4(k7_relat_1(C,k5_numbers),k2_funcop_1(k3_ami_2,A))
               => C = k1_funct_4(k1_funct_4(C,B),k7_relat_1(C,k3_scmfsa_1)) ) ) ) ) )).

fof(t77_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ! [B] :
          ( m1_subset_1(B,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
         => ! [C] :
              ( m1_subset_1(C,k4_scmfsa_1)
             => ( C = A
               => ! [D] :
                    ( m1_subset_1(D,k4_card_3(k6_scmfsa_1))
                   => ( D = B
                     => k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A,B) = k19_scmfsa_1(C,D) ) ) ) ) ) ) )).

fof(t78_scmfsa_2,axiom,(
    ! [A] :
      ( m1_subset_1(A,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
     => ! [B] :
          ( m1_subset_1(B,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
             => ( B = k1_funct_4(k1_funct_4(C,A),k7_relat_1(C,k3_scmfsa_1))
               => k1_funct_1(B,k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k1_funct_1(A,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ) ) )).

fof(t79_scmfsa_2,axiom,(
    ! [A] :
      ( m1_ami_3(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
             => ! [D] :
                  ( m1_subset_1(D,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
                 => ! [E] :
                      ( m1_subset_1(E,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
                     => ( ( D = k1_funct_4(k1_funct_4(E,C),k7_relat_1(E,k3_scmfsa_1))
                          & A = B )
                       => k2_ami_3(C,A) = k20_scmfsa_2(D,B) ) ) ) ) ) ) )).

fof(t80_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k1_tarski(k4_numbers),k1_ami_3),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),u1_struct_0(k1_ami_3)))),u4_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ! [B] :
          ( m1_ami_3(B)
         => ! [C] :
              ( m1_scmfsa_2(C)
             => ! [D] :
                  ( m1_subset_1(D,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
                 => ! [E] :
                      ( m1_subset_1(E,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
                     => ( ( D = k1_funct_4(k7_relat_1(E,k5_numbers),k2_funcop_1(k3_ami_2,A))
                          & B = C )
                       => k2_ami_3(D,B) = k20_scmfsa_2(E,C) ) ) ) ) ) ) )).

fof(t81_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => A != k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) )).

fof(t82_scmfsa_2,axiom,(
    ! [A] :
      ( m2_scmfsa_2(A)
     => A != k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) )).

fof(t83_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m2_scmfsa_2(B)
         => A != B ) ) )).

fof(t84_scmfsa_2,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ! [B] :
          ( m1_scmfsa_2(B)
         => A != B ) ) )).

fof(t85_scmfsa_2,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ! [B] :
          ( m2_scmfsa_2(B)
         => A != B ) ) )).

fof(t86_scmfsa_2,axiom,(
    ! [A] :
      ( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
     => ! [B] :
          ( m1_subset_1(B,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
         => ( ( k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B)
              & ! [C] :
                  ( m1_scmfsa_2(C)
                 => k20_scmfsa_2(A,C) = k20_scmfsa_2(B,C) )
              & ! [C] :
                  ( m2_scmfsa_2(C)
                 => k21_scmfsa_2(A,C) = k21_scmfsa_2(B,C) )
              & ! [C] :
                  ( m1_struct_0(C,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
                 => k13_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A,C) = k13_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B,C) ) )
           => A = B ) ) ) )).

fof(t87_scmfsa_2,axiom,(
    $true )).

fof(t88_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k1_tarski(k4_numbers),k1_ami_3),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),u1_struct_0(k1_ami_3)))),u4_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ! [B] :
          ( m1_subset_1(B,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
             => ( B = k1_funct_4(k7_relat_1(C,k5_numbers),k2_funcop_1(k3_ami_2,A))
               => k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C) = k6_ami_1(k1_tarski(k4_numbers),k1_ami_3,B) ) ) ) ) )).

fof(t89_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
             => ( k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B),C),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C))
                & k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B),C),A) = k20_scmfsa_2(C,B)
                & ! [D] :
                    ( m1_scmfsa_2(D)
                   => ( D != A
                     => k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B),C),D) = k20_scmfsa_2(C,D) ) )
                & ! [D] :
                    ( m2_scmfsa_2(D)
                   => k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B),C),D) = k21_scmfsa_2(C,D) ) ) ) ) ) )).

fof(t90_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
             => ( k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B),C),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C))
                & k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B),C),A) = k2_xcmplx_0(k20_scmfsa_2(C,A),k20_scmfsa_2(C,B))
                & ! [D] :
                    ( m1_scmfsa_2(D)
                   => ( D != A
                     => k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B),C),D) = k20_scmfsa_2(C,D) ) )
                & ! [D] :
                    ( m2_scmfsa_2(D)
                   => k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B),C),D) = k21_scmfsa_2(C,D) ) ) ) ) ) )).

fof(t91_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
             => ( k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B),C),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C))
                & k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B),C),A) = k6_xcmplx_0(k20_scmfsa_2(C,A),k20_scmfsa_2(C,B))
                & ! [D] :
                    ( m1_scmfsa_2(D)
                   => ( D != A
                     => k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B),C),D) = k20_scmfsa_2(C,D) ) )
                & ! [D] :
                    ( m2_scmfsa_2(D)
                   => k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B),C),D) = k21_scmfsa_2(C,D) ) ) ) ) ) )).

fof(t92_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
             => ( k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B),C),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C))
                & k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B),C),A) = k3_xcmplx_0(k20_scmfsa_2(C,A),k20_scmfsa_2(C,B))
                & ! [D] :
                    ( m1_scmfsa_2(D)
                   => ( D != A
                     => k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B),C),D) = k20_scmfsa_2(C,D) ) )
                & ! [D] :
                    ( m2_scmfsa_2(D)
                   => k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B),C),D) = k21_scmfsa_2(C,D) ) ) ) ) ) )).

fof(t93_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
             => ( k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B),C),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C))
                & ( A != B
                 => k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B),C),A) = k5_int_1(k20_scmfsa_2(C,A),k20_scmfsa_2(C,B)) )
                & k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B),C),B) = k6_int_1(k20_scmfsa_2(C,A),k20_scmfsa_2(C,B))
                & ! [D] :
                    ( m1_scmfsa_2(D)
                   => ~ ( D != A
                        & D != B
                        & k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B),C),D) != k20_scmfsa_2(C,D) ) )
                & ! [D] :
                    ( m2_scmfsa_2(D)
                   => k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B),C),D) = k21_scmfsa_2(C,D) ) ) ) ) ) )).

fof(t94_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_subset_1(B,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
         => ( k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,A),B),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B))
            & k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,A),B),A) = k6_int_1(k20_scmfsa_2(B,A),k20_scmfsa_2(B,A))
            & ! [C] :
                ( m1_scmfsa_2(C)
               => ( C != A
                 => k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,A),B),C) = k20_scmfsa_2(B,C) ) )
            & ! [C] :
                ( m2_scmfsa_2(C)
               => k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,A),B),C) = k21_scmfsa_2(B,C) ) ) ) ) )).

fof(t95_scmfsa_2,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ! [B] :
          ( m1_subset_1(B,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
         => ( k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k13_scmfsa_2(A),B),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = A
            & ! [C] :
                ( m1_scmfsa_2(C)
               => k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k13_scmfsa_2(A),B),C) = k20_scmfsa_2(B,C) )
            & ! [C] :
                ( m2_scmfsa_2(C)
               => k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k13_scmfsa_2(A),B),C) = k21_scmfsa_2(B,C) ) ) ) ) )).

fof(t96_scmfsa_2,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
             => ( ( k20_scmfsa_2(C,B) = np__0
                 => k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k14_scmfsa_2(A,B),C),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = A )
                & ( k20_scmfsa_2(C,B) != np__0
                 => k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k14_scmfsa_2(A,B),C),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C)) )
                & ! [D] :
                    ( m1_scmfsa_2(D)
                   => k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k14_scmfsa_2(A,B),C),D) = k20_scmfsa_2(C,D) )
                & ! [D] :
                    ( m2_scmfsa_2(D)
                   => k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k14_scmfsa_2(A,B),C),D) = k21_scmfsa_2(C,D) ) ) ) ) ) )).

fof(t97_scmfsa_2,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
             => ( ( ~ r1_xreal_0(k20_scmfsa_2(C,B),np__0)
                 => k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k15_scmfsa_2(A,B),C),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = A )
                & ( r1_xreal_0(k20_scmfsa_2(C,B),np__0)
                 => k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k15_scmfsa_2(A,B),C),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C)) )
                & ! [D] :
                    ( m1_scmfsa_2(D)
                   => k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k15_scmfsa_2(A,B),C),D) = k20_scmfsa_2(C,D) )
                & ! [D] :
                    ( m2_scmfsa_2(D)
                   => k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k15_scmfsa_2(A,B),C),D) = k21_scmfsa_2(C,D) ) ) ) ) ) )).

fof(t98_scmfsa_2,axiom,(
    ! [A] :
      ( m2_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m1_scmfsa_2(C)
             => ! [D] :
                  ( m1_subset_1(D,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
                 => ( k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(B,C,A),D),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,D))
                    & ? [E] :
                        ( m2_subset_1(E,k1_numbers,k5_numbers)
                        & E = k1_int_2(k20_scmfsa_2(D,C))
                        & k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(B,C,A),D),B) = k4_finseq_4(k5_numbers,k4_numbers,k21_scmfsa_2(D,A),E) )
                    & ! [E] :
                        ( m1_scmfsa_2(E)
                       => ( E != B
                         => k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(B,C,A),D),E) = k20_scmfsa_2(D,E) ) )
                    & ! [E] :
                        ( m2_scmfsa_2(E)
                       => k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(B,C,A),D),E) = k21_scmfsa_2(D,E) ) ) ) ) ) ) )).

fof(t99_scmfsa_2,axiom,(
    ! [A] :
      ( m2_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m1_scmfsa_2(C)
             => ! [D] :
                  ( m1_subset_1(D,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
                 => ( k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(C,B,A),D),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,D))
                    & ? [E] :
                        ( m2_subset_1(E,k1_numbers,k5_numbers)
                        & E = k1_int_2(k20_scmfsa_2(D,B))
                        & k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(C,B,A),D),A) = k2_funct_7(k21_scmfsa_2(D,A),E,k20_scmfsa_2(D,C)) )
                    & ! [E] :
                        ( m1_scmfsa_2(E)
                       => k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(C,B,A),D),E) = k20_scmfsa_2(D,E) )
                    & ! [E] :
                        ( m2_scmfsa_2(E)
                       => ( E != A
                         => k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(C,B,A),D),E) = k21_scmfsa_2(D,E) ) ) ) ) ) ) ) )).

fof(t100_scmfsa_2,axiom,(
    ! [A] :
      ( m2_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
             => ( k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(B,A),C),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C))
                & k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(B,A),C),B) = k3_finseq_1(k21_scmfsa_2(C,A))
                & ! [D] :
                    ( m1_scmfsa_2(D)
                   => ( D != B
                     => k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(B,A),C),D) = k20_scmfsa_2(C,D) ) )
                & ! [D] :
                    ( m2_scmfsa_2(D)
                   => k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(B,A),C),D) = k21_scmfsa_2(C,D) ) ) ) ) ) )).

fof(t101_scmfsa_2,axiom,(
    ! [A] :
      ( m2_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
             => ( k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(B,A),C),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C))
                & ? [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                    & D = k1_int_2(k20_scmfsa_2(C,B))
                    & k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(B,A),C),A) = k2_finseq_2(D,np__0) )
                & ! [D] :
                    ( m1_scmfsa_2(D)
                   => k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(B,A),C),D) = k20_scmfsa_2(C,D) )
                & ! [D] :
                    ( m2_scmfsa_2(D)
                   => ( D != A
                     => k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(B,A),C),D) = k21_scmfsa_2(C,D) ) ) ) ) ) ) )).

fof(t102_scmfsa_2,axiom,(
    ! [A] :
      ( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
     => ! [B] :
          ( m1_subset_1(B,k4_card_3(k6_scmfsa_1))
         => ( B = A
           => k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = k18_scmfsa_1(B) ) ) ) )).

fof(t103_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k1_tarski(k4_numbers),k1_ami_3),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),u1_struct_0(k1_ami_3)))),u4_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ! [B] :
          ( m2_subset_1(B,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
         => ( ( A = B
              & v3_ami_1(A,k1_tarski(k4_numbers),k1_ami_3) )
           => v3_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ) )).

fof(t104_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ~ ( ? [B] :
              ( m1_subset_1(B,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
              & k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A,B),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B)) )
          & v3_ami_1(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) )).

fof(t105_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ~ v3_ami_1(k8_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) )).

fof(t106_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ~ v3_ami_1(k9_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) )).

fof(t107_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ~ v3_ami_1(k10_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) )).

fof(t108_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ~ v3_ami_1(k11_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) )).

fof(t109_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ~ v3_ami_1(k12_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) )).

fof(t110_scmfsa_2,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ~ v3_ami_1(k13_scmfsa_2(A),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) )).

fof(t111_scmfsa_2,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ~ v3_ami_1(k14_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) )).

fof(t112_scmfsa_2,axiom,(
    ! [A] :
      ( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ~ v3_ami_1(k15_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) )).

fof(t113_scmfsa_2,axiom,(
    ! [A] :
      ( m2_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m1_scmfsa_2(C)
             => ~ v3_ami_1(k16_scmfsa_2(B,C,A),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ) )).

fof(t114_scmfsa_2,axiom,(
    ! [A] :
      ( m2_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( m1_scmfsa_2(C)
             => ~ v3_ami_1(k17_scmfsa_2(C,B,A),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ) )).

fof(t115_scmfsa_2,axiom,(
    ! [A] :
      ( m2_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ~ v3_ami_1(k18_scmfsa_2(B,A),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) )).

fof(t116_scmfsa_2,axiom,(
    ! [A] :
      ( m2_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ~ v3_ami_1(k19_scmfsa_2(B,A),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) )).

fof(t117_scmfsa_2,axiom,(
    m2_subset_1(k4_tarski(np__0,k1_xboole_0),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) )).

fof(t118_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ( A = k4_tarski(np__0,k1_xboole_0)
       => v3_ami_1(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) )).

fof(t119_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__0
       => A = k4_tarski(np__0,k1_xboole_0) ) ) )).

fof(t120_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
    <=> ~ ( A != k4_tarski(np__0,k1_xboole_0)
          & ! [B] :
              ( m1_scmfsa_2(B)
             => ! [C] :
                  ( m1_scmfsa_2(C)
                 => A != k8_scmfsa_2(B,C) ) )
          & ! [B] :
              ( m1_scmfsa_2(B)
             => ! [C] :
                  ( m1_scmfsa_2(C)
                 => A != k9_scmfsa_2(B,C) ) )
          & ! [B] :
              ( m1_scmfsa_2(B)
             => ! [C] :
                  ( m1_scmfsa_2(C)
                 => A != k10_scmfsa_2(B,C) ) )
          & ! [B] :
              ( m1_scmfsa_2(B)
             => ! [C] :
                  ( m1_scmfsa_2(C)
                 => A != k11_scmfsa_2(B,C) ) )
          & ! [B] :
              ( m1_scmfsa_2(B)
             => ! [C] :
                  ( m1_scmfsa_2(C)
                 => A != k12_scmfsa_2(B,C) ) )
          & ! [B] :
              ( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
             => A != k13_scmfsa_2(B) )
          & ! [B] :
              ( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
             => ! [C] :
                  ( m1_scmfsa_2(C)
                 => A != k14_scmfsa_2(B,C) ) )
          & ! [B] :
              ( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
             => ! [C] :
                  ( m1_scmfsa_2(C)
                 => A != k15_scmfsa_2(B,C) ) )
          & ! [B] :
              ( m1_scmfsa_2(B)
             => ! [C] :
                  ( m1_scmfsa_2(C)
                 => ! [D] :
                      ( m2_scmfsa_2(D)
                     => A != k16_scmfsa_2(C,B,D) ) ) )
          & ! [B] :
              ( m1_scmfsa_2(B)
             => ! [C] :
                  ( m1_scmfsa_2(C)
                 => ! [D] :
                      ( m2_scmfsa_2(D)
                     => A != k17_scmfsa_2(C,B,D) ) ) )
          & ! [B] :
              ( m1_scmfsa_2(B)
             => ! [C] :
                  ( m2_scmfsa_2(C)
                 => A != k18_scmfsa_2(B,C) ) )
          & ! [B] :
              ( m1_scmfsa_2(B)
             => ! [C] :
                  ( m2_scmfsa_2(C)
                 => A != k19_scmfsa_2(B,C) ) ) ) ) )).

fof(t121_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ( v3_ami_1(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
       => A = k5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) )).

fof(t122_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__0
       => A = k5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) )).

fof(t123_scmfsa_2,axiom,(
    k5_ami_1(k1_tarski(k4_numbers),k1_ami_3) = k5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )).

fof(t124_scmfsa_2,axiom,(
    k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = np__0 )).

fof(t125_scmfsa_2,axiom,(
    ! [A] :
      ( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k1_tarski(k4_numbers),k1_ami_3),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),u1_struct_0(k1_ami_3)))),u4_ami_1(k1_tarski(k4_numbers),k1_ami_3))
     => ! [B] :
          ( m2_subset_1(B,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
         => ~ ( A = B
              & ~ v3_ami_1(A,k1_tarski(k4_numbers),k1_ami_3)
              & v3_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ) )).

fof(dt_m1_scmfsa_2,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) )).

fof(existence_m1_scmfsa_2,axiom,(
    ? [A] : m1_scmfsa_2(A) )).

fof(dt_m2_scmfsa_2,axiom,(
    ! [A] :
      ( m2_scmfsa_2(A)
     => m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) )).

fof(existence_m2_scmfsa_2,axiom,(
    ? [A] : m2_scmfsa_2(A) )).

fof(dt_k1_scmfsa_2,axiom,
    ( v1_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
    & l1_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))) )).

fof(dt_k2_scmfsa_2,axiom,(
    m1_subset_1(k2_scmfsa_2,k1_zfmisc_1(u1_struct_0(k1_scmfsa_2))) )).

fof(dt_k3_scmfsa_2,axiom,(
    m1_subset_1(k3_scmfsa_2,k1_zfmisc_1(u1_struct_0(k1_scmfsa_2))) )).

fof(dt_k4_scmfsa_2,axiom,(
    ! [A] :
      ( v4_ordinal2(A)
     => m1_scmfsa_2(k4_scmfsa_2(A)) ) )).

fof(dt_k5_scmfsa_2,axiom,(
    ! [A] :
      ( v4_ordinal2(A)
     => m1_struct_0(k5_scmfsa_2(A),k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) )).

fof(dt_k6_scmfsa_2,axiom,(
    ! [A] :
      ( v4_ordinal2(A)
     => m2_scmfsa_2(k6_scmfsa_2(A)) ) )).

fof(dt_k7_scmfsa_2,axiom,(
    ! [A] :
      ( m1_subset_1(A,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => m1_struct_0(k7_scmfsa_2(A),k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) )).

fof(dt_k8_scmfsa_2,axiom,(
    ! [A,B] :
      ( ( m1_scmfsa_2(A)
        & m1_scmfsa_2(B) )
     => m2_subset_1(k8_scmfsa_2(A,B),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) )).

fof(dt_k9_scmfsa_2,axiom,(
    ! [A,B] :
      ( ( m1_scmfsa_2(A)
        & m1_scmfsa_2(B) )
     => m2_subset_1(k9_scmfsa_2(A,B),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) )).

fof(dt_k10_scmfsa_2,axiom,(
    ! [A,B] :
      ( ( m1_scmfsa_2(A)
        & m1_scmfsa_2(B) )
     => m2_subset_1(k10_scmfsa_2(A,B),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) )).

fof(dt_k11_scmfsa_2,axiom,(
    ! [A,B] :
      ( ( m1_scmfsa_2(A)
        & m1_scmfsa_2(B) )
     => m2_subset_1(k11_scmfsa_2(A,B),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) )).

fof(dt_k12_scmfsa_2,axiom,(
    ! [A,B] :
      ( ( m1_scmfsa_2(A)
        & m1_scmfsa_2(B) )
     => m2_subset_1(k12_scmfsa_2(A,B),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) )).

fof(dt_k13_scmfsa_2,axiom,(
    ! [A] :
      ( m1_subset_1(A,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
     => m2_subset_1(k13_scmfsa_2(A),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) )).

fof(dt_k14_scmfsa_2,axiom,(
    ! [A,B] :
      ( ( m1_subset_1(A,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
        & m1_scmfsa_2(B) )
     => m2_subset_1(k14_scmfsa_2(A,B),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) )).

fof(dt_k15_scmfsa_2,axiom,(
    ! [A,B] :
      ( ( m1_subset_1(A,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
        & m1_scmfsa_2(B) )
     => m2_subset_1(k15_scmfsa_2(A,B),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) )).

fof(dt_k16_scmfsa_2,axiom,(
    ! [A,B,C] :
      ( ( m1_scmfsa_2(A)
        & m1_scmfsa_2(B)
        & m2_scmfsa_2(C) )
     => m2_subset_1(k16_scmfsa_2(A,B,C),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) )).

fof(dt_k17_scmfsa_2,axiom,(
    ! [A,B,C] :
      ( ( m1_scmfsa_2(A)
        & m1_scmfsa_2(B)
        & m2_scmfsa_2(C) )
     => m2_subset_1(k17_scmfsa_2(A,B,C),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) )).

fof(dt_k18_scmfsa_2,axiom,(
    ! [A,B] :
      ( ( m1_scmfsa_2(A)
        & m2_scmfsa_2(B) )
     => m2_subset_1(k18_scmfsa_2(A,B),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) )).

fof(dt_k19_scmfsa_2,axiom,(
    ! [A,B] :
      ( ( m1_scmfsa_2(A)
        & m2_scmfsa_2(B) )
     => m2_subset_1(k19_scmfsa_2(A,B),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) )).

fof(dt_k20_scmfsa_2,axiom,(
    ! [A,B] :
      ( ( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
        & m1_scmfsa_2(B) )
     => v1_int_1(k20_scmfsa_2(A,B)) ) )).

fof(redefinition_k20_scmfsa_2,axiom,(
    ! [A,B] :
      ( ( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
        & m1_scmfsa_2(B) )
     => k20_scmfsa_2(A,B) = k1_funct_1(A,B) ) )).

fof(dt_k21_scmfsa_2,axiom,(
    ! [A,B] :
      ( ( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
        & m2_scmfsa_2(B) )
     => m2_finseq_1(k21_scmfsa_2(A,B),k4_numbers) ) )).

fof(redefinition_k21_scmfsa_2,axiom,(
    ! [A,B] :
      ( ( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
        & m2_scmfsa_2(B) )
     => k21_scmfsa_2(A,B) = k1_funct_1(A,B) ) )).
%------------------------------------------------------------------------------