SET007 Axioms: SET007+479.ax


%------------------------------------------------------------------------------
% File     : SET007+479 : TPTP v7.5.0. Released v3.4.0.
% Domain   : Set Theory
% Axioms   : Conditional Branch Macro Instructions of SCMFSA. Part II
% 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    : scmfsa8b [Urb08]

% Status   : Satisfiable
% Syntax   : Number of formulae    :   57 (   0 unit)
%            Number of atoms       :  728 (  95 equality)
%            Maximal formula depth :   20 (  12 average)
%            Number of connectives :  723 (  52 ~  ;   8  |; 394  &)
%                                         (   2 <=>; 267 =>;   0 <=)
%                                         (   0 <~>;   0 ~|;   0 ~&)
%            Number of predicates  :   26 (   0 propositional; 1-3 arity)
%            Number of functors    :   60 (  13 constant; 0-4 arity)
%            Number of variables   :  236 (   0 singleton; 236 !;   0 ?)
%            Maximal term depth    :    9 (   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_scmfsa8b,axiom,(
    ! [A,B,C] :
      ( ( v1_ami_3(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(A)
        & v2_scmfsa6b(A)
        & m1_ami_1(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(B)
        & v2_scmfsa6b(B)
        & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & ~ v1_sf_mastr(C)
        & m1_scmfsa_2(C) )
     => ( ~ v1_xboole_0(k1_scmfsa8b(C,A,B))
        & v1_relat_1(k1_scmfsa8b(C,A,B))
        & v1_funct_1(k1_scmfsa8b(C,A,B))
        & v1_finset_1(k1_scmfsa8b(C,A,B))
        & v1_ami_3(k1_scmfsa8b(C,A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(k1_scmfsa8b(C,A,B))
        & v1_scmfsa6b(k1_scmfsa8b(C,A,B))
        & v2_scmfsa6b(k1_scmfsa8b(C,A,B)) ) ) )).

fof(fc2_scmfsa8b,axiom,(
    ! [A,B,C] :
      ( ( v1_ami_3(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(A)
        & v2_scmfsa6b(A)
        & m1_ami_1(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(B)
        & v2_scmfsa6b(B)
        & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & ~ v1_sf_mastr(C)
        & m1_scmfsa_2(C) )
     => ( ~ v1_xboole_0(k2_scmfsa8b(C,A,B))
        & v1_relat_1(k2_scmfsa8b(C,A,B))
        & v1_funct_1(k2_scmfsa8b(C,A,B))
        & v1_finset_1(k2_scmfsa8b(C,A,B))
        & v1_ami_3(k2_scmfsa8b(C,A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(k2_scmfsa8b(C,A,B))
        & v1_scmfsa6b(k2_scmfsa8b(C,A,B))
        & v2_scmfsa6b(k2_scmfsa8b(C,A,B)) ) ) )).

fof(fc3_scmfsa8b,axiom,(
    ! [A,B,C,D] :
      ( ( v1_ami_3(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(A)
        & v2_scmfsa6b(A)
        & m1_ami_1(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(B)
        & v2_scmfsa6b(B)
        & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & ~ v1_sf_mastr(C)
        & m1_scmfsa_2(C)
        & ~ v1_sf_mastr(D)
        & m1_scmfsa_2(D) )
     => ( ~ v1_xboole_0(k4_scmfsa8b(C,D,A,B))
        & v1_relat_1(k4_scmfsa8b(C,D,A,B))
        & v1_funct_1(k4_scmfsa8b(C,D,A,B))
        & v1_finset_1(k4_scmfsa8b(C,D,A,B))
        & v1_ami_3(k4_scmfsa8b(C,D,A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(k4_scmfsa8b(C,D,A,B))
        & v1_scmfsa6b(k4_scmfsa8b(C,D,A,B))
        & v2_scmfsa6b(k4_scmfsa8b(C,D,A,B)) ) ) )).

fof(fc4_scmfsa8b,axiom,(
    ! [A,B,C,D] :
      ( ( v1_ami_3(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(A)
        & v2_scmfsa6b(A)
        & m1_ami_1(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(B)
        & v2_scmfsa6b(B)
        & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & ~ v1_sf_mastr(C)
        & m1_scmfsa_2(C)
        & ~ v1_sf_mastr(D)
        & m1_scmfsa_2(D) )
     => ( ~ v1_xboole_0(k5_scmfsa8b(C,D,A,B))
        & v1_relat_1(k5_scmfsa8b(C,D,A,B))
        & v1_funct_1(k5_scmfsa8b(C,D,A,B))
        & v1_finset_1(k5_scmfsa8b(C,D,A,B))
        & v1_ami_3(k5_scmfsa8b(C,D,A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(k5_scmfsa8b(C,D,A,B))
        & v1_scmfsa6b(k5_scmfsa8b(C,D,A,B))
        & v2_scmfsa6b(k5_scmfsa8b(C,D,A,B)) ) ) )).

fof(t1_scmfsa8b,axiom,(
    ! [A] :
      ( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
     => r2_hidden(k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k1_relat_1(A)) ) )).

fof(t2_scmfsa8b,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_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
         => r2_hidden(B,k1_relat_1(A)) ) ) )).

fof(t3_scmfsa8b,axiom,(
    ! [A] :
      ( ( v1_ami_3(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(A)
        & m1_ami_1(A,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)))
         => ( r5_scmfsa7b(A,B)
           => r2_hidden(k5_scmfsa_2(np__0),k1_relat_1(A)) ) ) ) )).

fof(t4_scmfsa8b,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_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
         => ! [C] :
              ( m1_struct_0(C,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
             => k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A,k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B)),k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C)) = k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A,k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C)) ) ) ) )).

fof(t5_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => k7_relat_1(k1_scmfsa6c(A),k2_xboole_0(k2_scmfsa_2,k3_scmfsa_2)) = k7_relat_1(k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A,k3_scmfsa6a(B)),k2_xboole_0(k2_scmfsa_2,k3_scmfsa_2)) ) ) )).

fof(t6_scmfsa8b,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)))
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ( ( k7_relat_1(A,k2_xboole_0(k2_scmfsa_2,k3_scmfsa_2)) = k7_relat_1(B,k2_xboole_0(k2_scmfsa_2,k3_scmfsa_2))
                  & r5_scmfsa7b(C,A) )
               => r5_scmfsa7b(C,B) ) ) ) ) )).

fof(t7_scmfsa8b,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)))
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( ( v1_ami_3(D,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                    & v1_scmfsa_4(D)
                    & m1_ami_1(D,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
                 => ( k7_relat_1(A,k2_xboole_0(k2_scmfsa_2,k3_scmfsa_2)) = k7_relat_1(B,k2_xboole_0(k2_scmfsa_2,k3_scmfsa_2))
                   => r1_funct_7(k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A,k17_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(np__0)))),k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B,k17_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,D,k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(np__0)))),u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) ) ) ) ) )).

fof(t8_scmfsa8b,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)))
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ( ( k7_relat_1(A,k2_xboole_0(k2_scmfsa_2,k3_scmfsa_2)) = k7_relat_1(B,k2_xboole_0(k2_scmfsa_2,k3_scmfsa_2))
                  & r5_scmfsa7b(C,A)
                  & r6_scmfsa7b(C,A) )
               => ( r5_scmfsa7b(C,B)
                  & r6_scmfsa7b(C,B) ) ) ) ) ) )).

fof(t9_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ( r5_scmfsa7b(B,k1_scmfsa6c(A))
              <=> r5_scmfsa7b(B,k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A,k3_scmfsa6a(C))) ) ) ) ) )).

fof(t10_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( m1_struct_0(D,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
                 => ( r5_scmfsa7b(B,A)
                  <=> r5_scmfsa7b(B,k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A,k17_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B,k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,D)))) ) ) ) ) ) )).

fof(t11_scmfsa8b,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)))
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ( ( r1_tarski(k17_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(np__0))),A)
                  & r5_scmfsa7b(C,A) )
               => ! [D] :
                    ( m2_subset_1(D,k1_numbers,k5_numbers)
                   => ( ( r1_tarski(k6_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k1_scmfsa_5(C,D)),B)
                        & k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B) = k5_scmfsa_2(D)
                        & k7_relat_1(A,k2_xboole_0(k2_scmfsa_2,k3_scmfsa_2)) = k7_relat_1(B,k2_xboole_0(k2_scmfsa_2,k3_scmfsa_2)) )
                     => ! [E] :
                          ( m2_subset_1(E,k1_numbers,k5_numbers)
                         => ( k2_scmfsa_4(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A),E)),D) = k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B),E))
                            & k4_scmfsa_4(k8_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A),E)),D) = k8_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B),E))
                            & k7_relat_1(k11_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A),E),k2_xboole_0(k2_scmfsa_2,k3_scmfsa_2)) = k7_relat_1(k11_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B),E),k2_xboole_0(k2_scmfsa_2,k3_scmfsa_2)) ) ) ) ) ) ) ) ) )).

fof(t12_scmfsa8b,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] :
          ( ( v1_scmfsa6c(B)
            & v2_scmfsa6c(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] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & v2_scmfsa6b(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( m1_scmfsa_2(D)
                 => k20_scmfsa_2(k3_scmfsa6b(k5_scmfsa6a(B,C),A),D) = k20_scmfsa_2(k3_scmfsa6b(C,k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B,k1_scmfsa6c(A))),D) ) ) ) ) )).

fof(t13_scmfsa8b,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] :
          ( ( v1_scmfsa6c(B)
            & v2_scmfsa6c(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] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & v2_scmfsa6b(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( m2_scmfsa_2(D)
                 => k21_scmfsa_2(k3_scmfsa6b(k5_scmfsa6a(B,C),A),D) = k21_scmfsa_2(k3_scmfsa6b(C,k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B,k1_scmfsa6c(A))),D) ) ) ) ) )).

fof(d1_scmfsa8b,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => k1_scmfsa8b(A,B,C) = k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k5_scmfsa_2(k1_nat_1(k4_card_1(C),np__3)),A),C),k2_scmfsa8a(k5_scmfsa_2(k1_nat_1(k4_card_1(B),np__1)))),B),k5_scmfsa_4) ) ) ) )).

fof(d2_scmfsa8b,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => k2_scmfsa8b(A,B,C) = k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k15_scmfsa_2(k5_scmfsa_2(k1_nat_1(k4_card_1(C),np__3)),A),C),k2_scmfsa8a(k5_scmfsa_2(k1_nat_1(k4_card_1(B),np__1)))),B),k5_scmfsa_4) ) ) ) )).

fof(d3_scmfsa8b,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => k3_scmfsa8b(A,B,C) = k1_scmfsa8b(A,C,k2_scmfsa8b(A,C,B)) ) ) ) )).

fof(t14_scmfsa8b,axiom,(
    ! [A] :
      ( ( v1_ami_3(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(A)
        & m1_ami_1(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
     => ! [B] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( m1_scmfsa_2(C)
             => k4_card_1(k1_scmfsa8b(C,A,B)) = k1_nat_1(k1_nat_1(k4_card_1(A),k4_card_1(B)),np__4) ) ) ) )).

fof(t15_scmfsa8b,axiom,(
    ! [A] :
      ( ( v1_ami_3(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(A)
        & m1_ami_1(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
     => ! [B] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( m1_scmfsa_2(C)
             => k4_card_1(k2_scmfsa8b(C,A,B)) = k1_nat_1(k1_nat_1(k4_card_1(A),k4_card_1(B)),np__4) ) ) ) )).

fof(t16_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( ( ~ v1_sf_mastr(D)
                    & m1_scmfsa_2(D) )
                 => ( ( k20_scmfsa_2(A,D) = np__0
                      & r5_scmfsa7b(B,A)
                      & r6_scmfsa7b(B,A) )
                   => ( r5_scmfsa7b(k1_scmfsa8b(D,B,C),A)
                      & r6_scmfsa7b(k1_scmfsa8b(D,B,C),A) ) ) ) ) ) ) )).

fof(t17_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( ( ~ v1_sf_mastr(D)
                    & m1_scmfsa_2(D) )
                 => ( ( k20_scmfsa_2(A,D) = np__0
                      & r5_scmfsa7b(B,k1_scmfsa6c(A))
                      & r6_scmfsa7b(B,k1_scmfsa6c(A)) )
                   => k3_scmfsa6b(k1_scmfsa8b(D,B,C),A) = k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k3_scmfsa6b(B,A),k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(k1_nat_1(k1_nat_1(k4_card_1(B),k4_card_1(C)),np__3)))) ) ) ) ) ) )).

fof(t18_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( ( ~ v1_sf_mastr(D)
                    & m1_scmfsa_2(D) )
                 => ( ( r5_scmfsa7b(C,A)
                      & r6_scmfsa7b(C,A) )
                   => ( k20_scmfsa_2(A,D) = np__0
                      | ( r5_scmfsa7b(k1_scmfsa8b(D,B,C),A)
                        & r6_scmfsa7b(k1_scmfsa8b(D,B,C),A) ) ) ) ) ) ) ) )).

fof(t19_scmfsa8b,axiom,(
    ! [A] :
      ( ( v1_ami_3(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(A)
        & m1_ami_1(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
     => ! [B] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( ~ v1_sf_mastr(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)))
                 => ( ( r5_scmfsa7b(B,k1_scmfsa6c(D))
                      & r6_scmfsa7b(B,k1_scmfsa6c(D)) )
                   => ( k20_scmfsa_2(D,C) = np__0
                      | k3_scmfsa6b(k1_scmfsa8b(C,A,B),D) = k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k3_scmfsa6b(B,D),k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(k1_nat_1(k1_nat_1(k4_card_1(A),k4_card_1(B)),np__3)))) ) ) ) ) ) ) )).

fof(t20_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & v2_scmfsa6b(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & v2_scmfsa6b(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( ( ~ v1_sf_mastr(D)
                    & m1_scmfsa_2(D) )
                 => ( v2_scmfsa6b(k1_scmfsa8b(D,B,C))
                    & ( k20_scmfsa_2(A,D) = np__0
                     => k3_scmfsa6b(k1_scmfsa8b(D,B,C),A) = k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k3_scmfsa6b(B,A),k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(k1_nat_1(k1_nat_1(k4_card_1(B),k4_card_1(C)),np__3)))) )
                    & ( k20_scmfsa_2(A,D) != np__0
                     => k3_scmfsa6b(k1_scmfsa8b(D,B,C),A) = k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k3_scmfsa6b(C,A),k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(k1_nat_1(k1_nat_1(k4_card_1(B),k4_card_1(C)),np__3)))) ) ) ) ) ) ) )).

fof(t21_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & v2_scmfsa6b(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & v2_scmfsa6b(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( ( ~ v1_sf_mastr(D)
                    & m1_scmfsa_2(D) )
                 => ( k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k3_scmfsa6b(k1_scmfsa8b(D,B,C),A)) = k5_scmfsa_2(k1_nat_1(k1_nat_1(k4_card_1(B),k4_card_1(C)),np__3))
                    & ( k20_scmfsa_2(A,D) = np__0
                     => ( ! [E] :
                            ( m1_scmfsa_2(E)
                           => k20_scmfsa_2(k3_scmfsa6b(k1_scmfsa8b(D,B,C),A),E) = k20_scmfsa_2(k3_scmfsa6b(B,A),E) )
                        & ! [E] :
                            ( m2_scmfsa_2(E)
                           => k21_scmfsa_2(k3_scmfsa6b(k1_scmfsa8b(D,B,C),A),E) = k21_scmfsa_2(k3_scmfsa6b(B,A),E) ) ) )
                    & ( k20_scmfsa_2(A,D) != np__0
                     => ( ! [E] :
                            ( m1_scmfsa_2(E)
                           => k20_scmfsa_2(k3_scmfsa6b(k1_scmfsa8b(D,B,C),A),E) = k20_scmfsa_2(k3_scmfsa6b(C,A),E) )
                        & ! [E] :
                            ( m2_scmfsa_2(E)
                           => k21_scmfsa_2(k3_scmfsa6b(k1_scmfsa8b(D,B,C),A),E) = k21_scmfsa_2(k3_scmfsa6b(C,A),E) ) ) ) ) ) ) ) ) )).

fof(t22_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( ( ~ v1_sf_mastr(D)
                    & m1_scmfsa_2(D) )
                 => ( ( r5_scmfsa7b(B,A)
                      & r6_scmfsa7b(B,A) )
                   => ( r1_xreal_0(k20_scmfsa_2(A,D),np__0)
                      | ( r5_scmfsa7b(k2_scmfsa8b(D,B,C),A)
                        & r6_scmfsa7b(k2_scmfsa8b(D,B,C),A) ) ) ) ) ) ) ) )).

fof(t23_scmfsa8b,axiom,(
    ! [A] :
      ( ( v1_ami_3(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(A)
        & m1_ami_1(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
     => ! [B] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( ~ v1_sf_mastr(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)))
                 => ( ( r5_scmfsa7b(A,k1_scmfsa6c(D))
                      & r6_scmfsa7b(A,k1_scmfsa6c(D)) )
                   => ( r1_xreal_0(k20_scmfsa_2(D,C),np__0)
                      | k3_scmfsa6b(k2_scmfsa8b(C,A,B),D) = k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k3_scmfsa6b(A,D),k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(k1_nat_1(k1_nat_1(k4_card_1(A),k4_card_1(B)),np__3)))) ) ) ) ) ) ) )).

fof(t24_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( ( ~ v1_sf_mastr(D)
                    & m1_scmfsa_2(D) )
                 => ( ( r1_xreal_0(k20_scmfsa_2(A,D),np__0)
                      & r5_scmfsa7b(C,A)
                      & r6_scmfsa7b(C,A) )
                   => ( r5_scmfsa7b(k2_scmfsa8b(D,B,C),A)
                      & r6_scmfsa7b(k2_scmfsa8b(D,B,C),A) ) ) ) ) ) ) )).

fof(t25_scmfsa8b,axiom,(
    ! [A] :
      ( ( v1_ami_3(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(A)
        & m1_ami_1(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
     => ! [B] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( ~ v1_sf_mastr(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)))
                 => ( ( r1_xreal_0(k20_scmfsa_2(D,C),np__0)
                      & r5_scmfsa7b(B,k1_scmfsa6c(D))
                      & r6_scmfsa7b(B,k1_scmfsa6c(D)) )
                   => k3_scmfsa6b(k2_scmfsa8b(C,A,B),D) = k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k3_scmfsa6b(B,D),k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(k1_nat_1(k1_nat_1(k4_card_1(A),k4_card_1(B)),np__3)))) ) ) ) ) ) )).

fof(t26_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & v2_scmfsa6b(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & v2_scmfsa6b(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( ( ~ v1_sf_mastr(D)
                    & m1_scmfsa_2(D) )
                 => ( v2_scmfsa6b(k2_scmfsa8b(D,B,C))
                    & ( ~ r1_xreal_0(k20_scmfsa_2(A,D),np__0)
                     => k3_scmfsa6b(k2_scmfsa8b(D,B,C),A) = k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k3_scmfsa6b(B,A),k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(k1_nat_1(k1_nat_1(k4_card_1(B),k4_card_1(C)),np__3)))) )
                    & ( r1_xreal_0(k20_scmfsa_2(A,D),np__0)
                     => k3_scmfsa6b(k2_scmfsa8b(D,B,C),A) = k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k3_scmfsa6b(C,A),k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(k1_nat_1(k1_nat_1(k4_card_1(B),k4_card_1(C)),np__3)))) ) ) ) ) ) ) )).

fof(t27_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & v2_scmfsa6b(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & v2_scmfsa6b(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( ( ~ v1_sf_mastr(D)
                    & m1_scmfsa_2(D) )
                 => ( k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k3_scmfsa6b(k2_scmfsa8b(D,B,C),A)) = k5_scmfsa_2(k1_nat_1(k1_nat_1(k4_card_1(B),k4_card_1(C)),np__3))
                    & ( ~ r1_xreal_0(k20_scmfsa_2(A,D),np__0)
                     => ( ! [E] :
                            ( m1_scmfsa_2(E)
                           => k20_scmfsa_2(k3_scmfsa6b(k2_scmfsa8b(D,B,C),A),E) = k20_scmfsa_2(k3_scmfsa6b(B,A),E) )
                        & ! [E] :
                            ( m2_scmfsa_2(E)
                           => k21_scmfsa_2(k3_scmfsa6b(k2_scmfsa8b(D,B,C),A),E) = k21_scmfsa_2(k3_scmfsa6b(B,A),E) ) ) )
                    & ( r1_xreal_0(k20_scmfsa_2(A,D),np__0)
                     => ( ! [E] :
                            ( m1_scmfsa_2(E)
                           => k20_scmfsa_2(k3_scmfsa6b(k2_scmfsa8b(D,B,C),A),E) = k20_scmfsa_2(k3_scmfsa6b(C,A),E) )
                        & ! [E] :
                            ( m2_scmfsa_2(E)
                           => k21_scmfsa_2(k3_scmfsa6b(k2_scmfsa8b(D,B,C),A),E) = k21_scmfsa_2(k3_scmfsa6b(C,A),E) ) ) ) ) ) ) ) ) )).

fof(t28_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( ( ~ v1_sf_mastr(D)
                    & m1_scmfsa_2(D) )
                 => ( ( r5_scmfsa7b(B,A)
                      & r6_scmfsa7b(B,A) )
                   => ( r1_xreal_0(np__0,k20_scmfsa_2(A,D))
                      | ( r5_scmfsa7b(k3_scmfsa8b(D,B,C),A)
                        & r6_scmfsa7b(k3_scmfsa8b(D,B,C),A) ) ) ) ) ) ) ) )).

fof(t29_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( ( ~ v1_sf_mastr(D)
                    & m1_scmfsa_2(D) )
                 => ( ( r5_scmfsa7b(B,k1_scmfsa6c(A))
                      & r6_scmfsa7b(B,k1_scmfsa6c(A)) )
                   => ( r1_xreal_0(np__0,k20_scmfsa_2(A,D))
                      | k3_scmfsa6b(k3_scmfsa8b(D,B,C),A) = k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k3_scmfsa6b(B,A),k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(k1_nat_1(k1_nat_1(k1_nat_1(k4_card_1(B),k4_card_1(C)),k4_card_1(C)),np__7)))) ) ) ) ) ) ) )).

fof(t30_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( ( ~ v1_sf_mastr(D)
                    & m1_scmfsa_2(D) )
                 => ( ( k20_scmfsa_2(A,D) = np__0
                      & r5_scmfsa7b(C,A)
                      & r6_scmfsa7b(C,A) )
                   => ( r5_scmfsa7b(k3_scmfsa8b(D,B,C),A)
                      & r6_scmfsa7b(k3_scmfsa8b(D,B,C),A) ) ) ) ) ) ) )).

fof(t31_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( ( ~ v1_sf_mastr(D)
                    & m1_scmfsa_2(D) )
                 => ( ( k20_scmfsa_2(A,D) = np__0
                      & r5_scmfsa7b(C,k1_scmfsa6c(A))
                      & r6_scmfsa7b(C,k1_scmfsa6c(A)) )
                   => k3_scmfsa6b(k3_scmfsa8b(D,B,C),A) = k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k3_scmfsa6b(C,A),k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(k1_nat_1(k1_nat_1(k1_nat_1(k4_card_1(B),k4_card_1(C)),k4_card_1(C)),np__7)))) ) ) ) ) ) )).

fof(t32_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( ( ~ v1_sf_mastr(D)
                    & m1_scmfsa_2(D) )
                 => ( ( r5_scmfsa7b(C,A)
                      & r6_scmfsa7b(C,A) )
                   => ( r1_xreal_0(k20_scmfsa_2(A,D),np__0)
                      | ( r5_scmfsa7b(k3_scmfsa8b(D,B,C),A)
                        & r6_scmfsa7b(k3_scmfsa8b(D,B,C),A) ) ) ) ) ) ) ) )).

fof(t33_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( ( ~ v1_sf_mastr(D)
                    & m1_scmfsa_2(D) )
                 => ( ( r5_scmfsa7b(C,k1_scmfsa6c(A))
                      & r6_scmfsa7b(C,k1_scmfsa6c(A)) )
                   => ( r1_xreal_0(k20_scmfsa_2(A,D),np__0)
                      | k3_scmfsa6b(k3_scmfsa8b(D,B,C),A) = k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k3_scmfsa6b(C,A),k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(k1_nat_1(k1_nat_1(k1_nat_1(k4_card_1(B),k4_card_1(C)),k4_card_1(C)),np__7)))) ) ) ) ) ) ) )).

fof(t34_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & v2_scmfsa6b(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & v2_scmfsa6b(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( ( ~ v1_sf_mastr(D)
                    & m1_scmfsa_2(D) )
                 => ( v2_scmfsa6b(k3_scmfsa8b(D,B,C))
                    & ( ~ r1_xreal_0(np__0,k20_scmfsa_2(A,D))
                     => k3_scmfsa6b(k3_scmfsa8b(D,B,C),A) = k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k3_scmfsa6b(B,A),k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(k1_nat_1(k1_nat_1(k1_nat_1(k4_card_1(B),k4_card_1(C)),k4_card_1(C)),np__7)))) )
                    & ( r1_xreal_0(np__0,k20_scmfsa_2(A,D))
                     => k3_scmfsa6b(k3_scmfsa8b(D,B,C),A) = k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k3_scmfsa6b(C,A),k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(k1_nat_1(k1_nat_1(k1_nat_1(k4_card_1(B),k4_card_1(C)),k4_card_1(C)),np__7)))) ) ) ) ) ) ) )).

fof(d4_scmfsa8b,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( ( v1_ami_3(D,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                    & v1_scmfsa_4(D)
                    & m1_ami_1(D,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
                 => k4_scmfsa8b(A,B,C,D) = k5_scmfsa6a(k10_scmfsa_2(A,B),k1_scmfsa8b(A,C,D)) ) ) ) ) )).

fof(d5_scmfsa8b,axiom,(
    ! [A] :
      ( m1_scmfsa_2(A)
     => ! [B] :
          ( m1_scmfsa_2(B)
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( ( v1_ami_3(D,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                    & v1_scmfsa_4(D)
                    & m1_ami_1(D,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
                 => k5_scmfsa8b(A,B,C,D) = k5_scmfsa6a(k10_scmfsa_2(A,B),k2_scmfsa8b(A,C,D)) ) ) ) ) )).

fof(t35_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => k7_relat_1(k12_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A,k3_scmfsa6a(B))),k2_xboole_0(k2_scmfsa_2,k3_scmfsa_2)) = k7_relat_1(k3_scmfsa6b(B,A),k2_xboole_0(k2_scmfsa_2,k3_scmfsa_2)) ) ) )).

fof(t36_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( m1_scmfsa_2(C)
             => r1_funct_7(k12_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A,k3_scmfsa6a(B))),k3_scmfsa6b(B,A),u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) ) ) )).

fof(t37_scmfsa8b,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)))
         => ! [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))
             => ! [D] :
                  ( m1_scmfsa_2(D)
                 => ( ( ! [E] :
                          ( m1_scmfsa_2(E)
                         => ( D != E
                           => k20_scmfsa_2(A,E) = k20_scmfsa_2(B,E) ) )
                      & ! [E] :
                          ( m2_scmfsa_2(E)
                         => k21_scmfsa_2(A,E) = k21_scmfsa_2(B,E) )
                      & r1_scmfsa7b(C,D)
                      & 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) )
                   => ( ! [E] :
                          ( m1_scmfsa_2(E)
                         => ( D != E
                           => k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,A),E) = k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,B),E) ) )
                      & ! [E] :
                          ( m2_scmfsa_2(E)
                         => k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,A),E) = k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,B),E) )
                      & k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,A)) = k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,B)) ) ) ) ) ) ) )).

fof(t38_scmfsa8b,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)))
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( m1_scmfsa_2(D)
                 => ( ( r2_scmfsa7b(C,D)
                      & ! [E] :
                          ( m1_scmfsa_2(E)
                         => ( D != E
                           => k20_scmfsa_2(A,E) = k20_scmfsa_2(B,E) ) )
                      & ! [E] :
                          ( m2_scmfsa_2(E)
                         => k21_scmfsa_2(A,E) = k21_scmfsa_2(B,E) )
                      & r5_scmfsa7b(C,A)
                      & r6_scmfsa7b(C,A) )
                   => ! [E] :
                        ( m2_subset_1(E,k1_numbers,k5_numbers)
                       => ( ! [F] :
                              ( m1_scmfsa_2(F)
                             => ( D != F
                               => k20_scmfsa_2(k11_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A,k17_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(np__0))))),E),F) = k20_scmfsa_2(k11_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B,k17_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(np__0))))),E),F) ) )
                          & ! [F] :
                              ( m2_scmfsa_2(F)
                             => k21_scmfsa_2(k11_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A,k17_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(np__0))))),E),F) = k21_scmfsa_2(k11_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B,k17_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(np__0))))),E),F) )
                          & k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A,k17_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(np__0))))),E)) = k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B,k17_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(np__0))))),E))
                          & k8_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A,k17_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(np__0))))),E)) = k8_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B,k17_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_scmfsa_2(np__0))))),E)) ) ) ) ) ) ) ) )).

fof(t39_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( m1_struct_0(D,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
                 => ( ( ( r5_scmfsa7b(B,A)
                        & r6_scmfsa7b(B,A) )
                     => ( r5_scmfsa7b(B,k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A,k17_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B,k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,D))))
                        & r6_scmfsa7b(B,k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A,k17_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B,k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,D)))) ) )
                    & ( ( r5_scmfsa7b(B,k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A,k17_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B,k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,D))))
                        & r6_scmfsa7b(B,k8_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A,k17_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B,k12_ami_3(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,D)))) )
                     => ( r5_scmfsa7b(B,A)
                        & r6_scmfsa7b(B,A) ) ) ) ) ) ) ) )).

fof(t40_scmfsa8b,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)))
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( m1_scmfsa_2(D)
                 => ( ( r2_scmfsa7b(C,D)
                      & ! [E] :
                          ( m1_scmfsa_2(E)
                         => ( D != E
                           => k20_scmfsa_2(A,E) = k20_scmfsa_2(B,E) ) )
                      & ! [E] :
                          ( m2_scmfsa_2(E)
                         => k21_scmfsa_2(A,E) = k21_scmfsa_2(B,E) )
                      & r5_scmfsa7b(C,A)
                      & r6_scmfsa7b(C,A) )
                   => ( r5_scmfsa7b(C,B)
                      & r6_scmfsa7b(C,B) ) ) ) ) ) ) )).

fof(t41_scmfsa8b,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)))
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( m1_scmfsa_2(D)
                 => ( ( ! [E] :
                          ( ( ~ v1_sf_mastr(E)
                            & m1_scmfsa_2(E) )
                         => ( D != E
                           => k20_scmfsa_2(A,E) = k20_scmfsa_2(B,E) ) )
                      & ! [E] :
                          ( m2_scmfsa_2(E)
                         => k21_scmfsa_2(A,E) = k21_scmfsa_2(B,E) )
                      & r2_scmfsa7b(C,D)
                      & r5_scmfsa7b(C,k1_scmfsa6c(A))
                      & r6_scmfsa7b(C,k1_scmfsa6c(A)) )
                   => ( ! [E] :
                          ( m1_scmfsa_2(E)
                         => ( D != E
                           => k20_scmfsa_2(k3_scmfsa6b(C,A),E) = k20_scmfsa_2(k3_scmfsa6b(C,B),E) ) )
                      & ! [E] :
                          ( m2_scmfsa_2(E)
                         => k21_scmfsa_2(k3_scmfsa6b(C,A),E) = k21_scmfsa_2(k3_scmfsa6b(C,B),E) )
                      & k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k3_scmfsa6b(C,A)) = k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k3_scmfsa6b(C,B)) ) ) ) ) ) ) )).

fof(t42_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & v2_scmfsa6b(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & v2_scmfsa6b(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( ( ~ v1_sf_mastr(D)
                    & m1_scmfsa_2(D) )
                 => ! [E] :
                      ( ( ~ v1_sf_mastr(E)
                        & m1_scmfsa_2(E) )
                     => ( ( r2_scmfsa7b(B,D)
                          & r2_scmfsa7b(C,D) )
                       => ( k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k3_scmfsa6b(k4_scmfsa8b(D,E,B,C),A)) = k5_scmfsa_2(k1_nat_1(k1_nat_1(k4_card_1(B),k4_card_1(C)),np__5))
                          & ( k20_scmfsa_2(A,D) = k20_scmfsa_2(A,E)
                           => ( ! [F] :
                                  ( m1_scmfsa_2(F)
                                 => ( D != F
                                   => k20_scmfsa_2(k3_scmfsa6b(k4_scmfsa8b(D,E,B,C),A),F) = k20_scmfsa_2(k3_scmfsa6b(B,A),F) ) )
                              & ! [F] :
                                  ( m2_scmfsa_2(F)
                                 => k21_scmfsa_2(k3_scmfsa6b(k4_scmfsa8b(D,E,B,C),A),F) = k21_scmfsa_2(k3_scmfsa6b(B,A),F) ) ) )
                          & ( k20_scmfsa_2(A,D) != k20_scmfsa_2(A,E)
                           => ( ! [F] :
                                  ( m1_scmfsa_2(F)
                                 => ( D != F
                                   => k20_scmfsa_2(k3_scmfsa6b(k4_scmfsa8b(D,E,B,C),A),F) = k20_scmfsa_2(k3_scmfsa6b(C,A),F) ) )
                              & ! [F] :
                                  ( m2_scmfsa_2(F)
                                 => k21_scmfsa_2(k3_scmfsa6b(k4_scmfsa8b(D,E,B,C),A),F) = k21_scmfsa_2(k3_scmfsa6b(C,A),F) ) ) ) ) ) ) ) ) ) ) )).

fof(t43_scmfsa8b,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] :
          ( ( v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
            & v1_scmfsa_4(B)
            & v2_scmfsa6b(B)
            & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
         => ! [C] :
              ( ( v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
                & v1_scmfsa_4(C)
                & v2_scmfsa6b(C)
                & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
             => ! [D] :
                  ( ( ~ v1_sf_mastr(D)
                    & m1_scmfsa_2(D) )
                 => ! [E] :
                      ( ( ~ v1_sf_mastr(E)
                        & m1_scmfsa_2(E) )
                     => ( ( r2_scmfsa7b(B,D)
                          & r2_scmfsa7b(C,D) )
                       => ( k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k3_scmfsa6b(k5_scmfsa8b(D,E,B,C),A)) = k5_scmfsa_2(k1_nat_1(k1_nat_1(k4_card_1(B),k4_card_1(C)),np__5))
                          & ( ~ r1_xreal_0(k20_scmfsa_2(A,D),k20_scmfsa_2(A,E))
                           => ( ! [F] :
                                  ( m1_scmfsa_2(F)
                                 => ( D != F
                                   => k20_scmfsa_2(k3_scmfsa6b(k5_scmfsa8b(D,E,B,C),A),F) = k20_scmfsa_2(k3_scmfsa6b(B,A),F) ) )
                              & ! [F] :
                                  ( m2_scmfsa_2(F)
                                 => k21_scmfsa_2(k3_scmfsa6b(k5_scmfsa8b(D,E,B,C),A),F) = k21_scmfsa_2(k3_scmfsa6b(B,A),F) ) ) )
                          & ( r1_xreal_0(k20_scmfsa_2(A,D),k20_scmfsa_2(A,E))
                           => ( ! [F] :
                                  ( m1_scmfsa_2(F)
                                 => ( D != F
                                   => k20_scmfsa_2(k3_scmfsa6b(k5_scmfsa8b(D,E,B,C),A),F) = k20_scmfsa_2(k3_scmfsa6b(C,A),F) ) )
                              & ! [F] :
                                  ( m2_scmfsa_2(F)
                                 => k21_scmfsa_2(k3_scmfsa6b(k5_scmfsa8b(D,E,B,C),A),F) = k21_scmfsa_2(k3_scmfsa6b(C,A),F) ) ) ) ) ) ) ) ) ) ) )).

fof(dt_k1_scmfsa8b,axiom,(
    ! [A,B,C] :
      ( ( m1_scmfsa_2(A)
        & v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(B)
        & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(C)
        & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
     => ( v1_ami_3(k1_scmfsa8b(A,B,C),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(k1_scmfsa8b(A,B,C))
        & m1_ami_1(k1_scmfsa8b(A,B,C),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) )).

fof(dt_k2_scmfsa8b,axiom,(
    ! [A,B,C] :
      ( ( m1_scmfsa_2(A)
        & v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(B)
        & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(C)
        & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
     => ( v1_ami_3(k2_scmfsa8b(A,B,C),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(k2_scmfsa8b(A,B,C))
        & m1_ami_1(k2_scmfsa8b(A,B,C),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) )).

fof(dt_k3_scmfsa8b,axiom,(
    ! [A,B,C] :
      ( ( m1_scmfsa_2(A)
        & v1_ami_3(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(B)
        & m1_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(C)
        & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
     => ( v1_ami_3(k3_scmfsa8b(A,B,C),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(k3_scmfsa8b(A,B,C))
        & m1_ami_1(k3_scmfsa8b(A,B,C),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) )).

fof(dt_k4_scmfsa8b,axiom,(
    ! [A,B,C,D] :
      ( ( m1_scmfsa_2(A)
        & m1_scmfsa_2(B)
        & v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(C)
        & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_ami_3(D,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(D)
        & m1_ami_1(D,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
     => ( v1_ami_3(k4_scmfsa8b(A,B,C,D),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(k4_scmfsa8b(A,B,C,D))
        & m1_ami_1(k4_scmfsa8b(A,B,C,D),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) )).

fof(dt_k5_scmfsa8b,axiom,(
    ! [A,B,C,D] :
      ( ( m1_scmfsa_2(A)
        & m1_scmfsa_2(B)
        & v1_ami_3(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(C)
        & m1_ami_1(C,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_ami_3(D,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(D)
        & m1_ami_1(D,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) )
     => ( v1_ami_3(k5_scmfsa8b(A,B,C,D),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
        & v1_scmfsa_4(k5_scmfsa8b(A,B,C,D))
        & m1_ami_1(k5_scmfsa8b(A,B,C,D),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) )).
%------------------------------------------------------------------------------