SET007 Axioms: SET007+689.ax
%------------------------------------------------------------------------------
% File : SET007+689 : TPTP v8.2.0. Released v3.4.0.
% Domain : Set Theory
% Axioms : On the Instructions of SCMFSA
% 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 : scmfsa10 [Urb08]
% Status : Satisfiable
% Syntax : Number of formulae : 137 ( 4 unt; 0 def)
% Number of atoms : 620 ( 106 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 548 ( 65 ~; 0 |; 256 &)
% ( 0 <=>; 227 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 50 ( 49 usr; 0 prp; 1-3 aty)
% Number of functors : 69 ( 69 usr; 20 con; 0-4 aty)
% Number of variables : 265 ( 265 !; 0 ?)
% 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_scmfsa10,axiom,
! [A] :
( m1_subset_1(A,u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( ~ v1_xboole_0(k5_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A))
& v1_fraenkel(k5_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A)) ) ) ).
fof(fc2_scmfsa10,axiom,
( v1_relat_1(k2_amistd_1(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)))
& v1_xboole_0(k2_amistd_1(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)))
& v1_membered(k2_amistd_1(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)))
& v2_membered(k2_amistd_1(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)))
& v3_membered(k2_amistd_1(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)))
& v4_membered(k2_amistd_1(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)))
& v5_membered(k2_amistd_1(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))) ) ).
fof(fc3_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B) )
=> ( v1_relat_1(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B)))
& v1_xboole_0(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B)))
& v1_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B)))
& v2_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B)))
& v3_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B)))
& v4_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B)))
& v5_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B))) ) ) ).
fof(fc4_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B) )
=> ( v1_relat_1(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B)))
& v1_xboole_0(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B)))
& v1_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B)))
& v2_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B)))
& v3_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B)))
& v4_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B)))
& v5_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B))) ) ) ).
fof(fc5_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B) )
=> ( v1_relat_1(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B)))
& v1_xboole_0(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B)))
& v1_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B)))
& v2_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B)))
& v3_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B)))
& v4_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B)))
& v5_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B))) ) ) ).
fof(fc6_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B) )
=> ( v1_relat_1(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B)))
& v1_xboole_0(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B)))
& v1_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B)))
& v2_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B)))
& v3_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B)))
& v4_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B)))
& v5_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B))) ) ) ).
fof(fc7_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B) )
=> ( v1_relat_1(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B)))
& v1_xboole_0(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B)))
& v1_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B)))
& v2_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B)))
& v3_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B)))
& v4_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B)))
& v5_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B))) ) ) ).
fof(fc8_scmfsa10,axiom,
! [A] :
( m1_subset_1(A,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( ~ v1_xboole_0(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k13_scmfsa_2(A)))
& v1_realset1(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k13_scmfsa_2(A))) ) ) ).
fof(fc9_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_subset_1(B,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) )
=> ( ~ v1_xboole_0(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k14_scmfsa_2(B,A)))
& v1_realset1(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k14_scmfsa_2(B,A))) ) ) ).
fof(fc10_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_subset_1(B,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) )
=> ( ~ v1_xboole_0(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k15_scmfsa_2(B,A)))
& v1_realset1(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k15_scmfsa_2(B,A))) ) ) ).
fof(fc11_scmfsa10,axiom,
! [A,B,C] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B)
& m2_scmfsa_2(C) )
=> ( v1_relat_1(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(A,B,C)))
& v1_xboole_0(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(A,B,C)))
& v1_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(A,B,C)))
& v2_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(A,B,C)))
& v3_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(A,B,C)))
& v4_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(A,B,C)))
& v5_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(A,B,C))) ) ) ).
fof(fc12_scmfsa10,axiom,
! [A,B,C] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B)
& m2_scmfsa_2(C) )
=> ( v1_relat_1(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(A,B,C)))
& v1_xboole_0(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(A,B,C)))
& v1_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(A,B,C)))
& v2_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(A,B,C)))
& v3_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(A,B,C)))
& v4_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(A,B,C)))
& v5_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(A,B,C))) ) ) ).
fof(fc13_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m2_scmfsa_2(B) )
=> ( v1_relat_1(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(A,B)))
& v1_xboole_0(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(A,B)))
& v1_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(A,B)))
& v2_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(A,B)))
& v3_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(A,B)))
& v4_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(A,B)))
& v5_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(A,B))) ) ) ).
fof(fc14_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m2_scmfsa_2(B) )
=> ( v1_relat_1(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(A,B)))
& v1_xboole_0(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(A,B)))
& v1_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(A,B)))
& v2_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(A,B)))
& v3_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(A,B)))
& v4_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(A,B)))
& v5_membered(k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(A,B))) ) ) ).
fof(fc15_scmfsa10,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)))
& v4_amistd_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v7_amistd_2(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))) ) ).
fof(fc16_scmfsa10,axiom,
( v4_ordinal2(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)))
& v1_xreal_0(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)))
& ~ v3_xreal_0(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)))
& v1_int_1(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)))
& v1_amistd_1(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)),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v1_xcmplx_0(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))) ) ).
fof(fc17_scmfsa10,axiom,
( ~ v1_xboole_0(k5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
& v3_ami_1(k5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v2_amistd_1(k5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v12_amistd_2(k5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ).
fof(fc18_scmfsa10,axiom,
! [A] :
( m1_subset_1(A,u2_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,k13_scmfsa_2(A)))
& v1_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k13_scmfsa_2(A)))
& ~ v3_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k13_scmfsa_2(A)))
& v1_int_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k13_scmfsa_2(A)))
& v1_amistd_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k13_scmfsa_2(A)),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v1_xcmplx_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k13_scmfsa_2(A))) ) ) ).
fof(fc19_scmfsa10,axiom,
! [A] :
( m1_subset_1(A,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( v2_amistd_1(k13_scmfsa_2(A),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& ~ v5_amistd_1(k13_scmfsa_2(A),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& ~ v9_amistd_2(k13_scmfsa_2(A),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(fc20_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_subset_1(B,u2_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,k14_scmfsa_2(B,A)))
& v1_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k14_scmfsa_2(B,A)))
& ~ v3_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k14_scmfsa_2(B,A)))
& v1_int_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k14_scmfsa_2(B,A)))
& v1_amistd_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k14_scmfsa_2(B,A)),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v1_xcmplx_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k14_scmfsa_2(B,A))) ) ) ).
fof(fc21_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_subset_1(B,u2_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,k15_scmfsa_2(B,A)))
& v1_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k15_scmfsa_2(B,A)))
& ~ v3_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k15_scmfsa_2(B,A)))
& v1_int_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k15_scmfsa_2(B,A)))
& v1_amistd_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k15_scmfsa_2(B,A)),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v1_xcmplx_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k15_scmfsa_2(B,A))) ) ) ).
fof(fc22_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_subset_1(B,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) )
=> ( v2_amistd_1(k14_scmfsa_2(B,A),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& ~ v5_amistd_1(k14_scmfsa_2(B,A),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& ~ v9_amistd_2(k14_scmfsa_2(B,A),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(fc23_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_subset_1(B,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) )
=> ( v2_amistd_1(k15_scmfsa_2(B,A),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& ~ v5_amistd_1(k15_scmfsa_2(B,A),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& ~ v9_amistd_2(k15_scmfsa_2(B,A),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(fc24_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B) )
=> ( v4_ordinal2(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B)))
& v1_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B)))
& ~ v3_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B)))
& v1_int_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B)))
& ~ v1_amistd_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B)),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v1_xcmplx_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B))) ) ) ).
fof(fc25_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B) )
=> ( v4_ordinal2(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B)))
& v1_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B)))
& ~ v3_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B)))
& v1_int_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B)))
& ~ v1_amistd_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B)),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v1_xcmplx_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B))) ) ) ).
fof(fc26_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B) )
=> ( v4_ordinal2(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B)))
& v1_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B)))
& ~ v3_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B)))
& v1_int_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B)))
& ~ v1_amistd_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B)),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v1_xcmplx_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B))) ) ) ).
fof(fc27_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B) )
=> ( v4_ordinal2(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B)))
& v1_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B)))
& ~ v3_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B)))
& v1_int_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B)))
& ~ v1_amistd_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B)),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v1_xcmplx_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B))) ) ) ).
fof(fc28_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B) )
=> ( v4_ordinal2(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B)))
& v1_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B)))
& ~ v3_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B)))
& v1_int_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B)))
& ~ v1_amistd_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B)),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v1_xcmplx_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B))) ) ) ).
fof(fc29_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B) )
=> ( ~ v2_amistd_1(k8_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v5_amistd_1(k8_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(fc30_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B) )
=> ( ~ v2_amistd_1(k9_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v5_amistd_1(k9_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(fc31_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B) )
=> ( ~ v2_amistd_1(k10_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v5_amistd_1(k10_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(fc32_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B) )
=> ( ~ v2_amistd_1(k11_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v5_amistd_1(k11_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(fc33_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B) )
=> ( ~ v2_amistd_1(k12_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v5_amistd_1(k12_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(fc34_scmfsa10,axiom,
! [A,B,C] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B)
& m2_scmfsa_2(C) )
=> ( v4_ordinal2(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(B,A,C)))
& v1_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(B,A,C)))
& ~ v3_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(B,A,C)))
& v1_int_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(B,A,C)))
& ~ v1_amistd_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(B,A,C)),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v1_xcmplx_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(B,A,C))) ) ) ).
fof(fc35_scmfsa10,axiom,
! [A,B,C] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B)
& m2_scmfsa_2(C) )
=> ( v4_ordinal2(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(B,A,C)))
& v1_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(B,A,C)))
& ~ v3_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(B,A,C)))
& v1_int_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(B,A,C)))
& ~ v1_amistd_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(B,A,C)),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v1_xcmplx_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(B,A,C))) ) ) ).
fof(fc36_scmfsa10,axiom,
! [A,B,C] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B)
& m2_scmfsa_2(C) )
=> ( ~ v2_amistd_1(k16_scmfsa_2(B,A,C),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v5_amistd_1(k16_scmfsa_2(B,A,C),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(fc37_scmfsa10,axiom,
! [A,B,C] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B)
& m2_scmfsa_2(C) )
=> ( ~ v2_amistd_1(k17_scmfsa_2(B,A,C),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v5_amistd_1(k17_scmfsa_2(B,A,C),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(fc38_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m2_scmfsa_2(B) )
=> ( v4_ordinal2(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(A,B)))
& v1_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(A,B)))
& ~ v3_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(A,B)))
& v1_int_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(A,B)))
& ~ v1_amistd_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(A,B)),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v1_xcmplx_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(A,B))) ) ) ).
fof(fc39_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m2_scmfsa_2(B) )
=> ( v4_ordinal2(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(A,B)))
& v1_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(A,B)))
& ~ v3_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(A,B)))
& v1_int_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(A,B)))
& ~ v1_amistd_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(A,B)),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v1_xcmplx_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(A,B))) ) ) ).
fof(fc40_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m2_scmfsa_2(B) )
=> ( ~ v2_amistd_1(k18_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v5_amistd_1(k18_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(fc41_scmfsa10,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m2_scmfsa_2(B) )
=> ( ~ v2_amistd_1(k19_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& v5_amistd_1(k19_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(fc42_scmfsa10,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)))
& v4_amistd_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v2_amistd_2(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v5_amistd_2(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v6_amistd_2(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v7_amistd_2(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))) ) ).
fof(fc43_scmfsa10,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)))
& v4_amistd_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v2_amistd_2(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v5_amistd_2(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v6_amistd_2(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v7_amistd_2(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v8_amistd_2(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))) ) ).
fof(fc44_scmfsa10,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)))
& v4_amistd_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v2_amistd_2(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v5_amistd_2(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v6_amistd_2(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v7_amistd_2(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v8_amistd_2(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v11_amistd_2(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v13_amistd_2(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))) ) ).
fof(t1_scmfsa10,axiom,
! [A] :
( ( v1_relat_1(A)
& v1_funct_1(A) )
=> ! [B,C,D,E,F,G] :
~ ( B != D
& B != F
& k1_funct_1(k1_funct_4(k1_funct_4(k1_funct_4(A,k3_cqc_lang(B,C)),k3_cqc_lang(D,E)),k3_cqc_lang(F,G)),B) != C ) ) ).
fof(t2_scmfsa10,axiom,
! [A,B] : k2_funct_7(k9_finseq_1(A),np__1,B) = k9_finseq_1(B) ).
fof(t3_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ~ r2_hidden(A,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) ).
fof(t4_scmfsa10,axiom,
! [A] :
( m2_scmfsa_2(A)
=> ~ r2_hidden(A,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) ).
fof(t5_scmfsa10,axiom,
k1_scmfsa_1 != u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ).
fof(t6_scmfsa10,axiom,
k2_scmfsa_1 != u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ).
fof(t7_scmfsa10,axiom,
! [A] :
( m1_subset_1(A,u1_struct_0(k1_scmfsa_2))
=> ~ ( A != k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& ~ r2_hidden(A,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
& ~ m1_scmfsa_2(A)
& ~ m2_scmfsa_2(A) ) ) ).
fof(t8_scmfsa10,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))
=> ~ ( A != B
& k7_scmfsa_2(A) = k7_scmfsa_2(B) ) ) ) ).
fof(t9_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k8_scmfsa_2(A,B) = k4_tarski(np__1,k2_finseq_4(u1_struct_0(k1_scmfsa_2),A,B)) ) ) ).
fof(t10_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k9_scmfsa_2(A,B) = k4_tarski(np__2,k2_finseq_4(u1_struct_0(k1_scmfsa_2),A,B)) ) ) ).
fof(t11_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k10_scmfsa_2(A,B) = k4_tarski(np__3,k2_finseq_4(u1_struct_0(k1_scmfsa_2),A,B)) ) ) ).
fof(t12_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k11_scmfsa_2(A,B) = k4_tarski(np__4,k2_finseq_4(u1_struct_0(k1_scmfsa_2),A,B)) ) ) ).
fof(t13_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k12_scmfsa_2(A,B) = k4_tarski(np__5,k2_finseq_4(u1_struct_0(k1_scmfsa_2),A,B)) ) ) ).
fof(t14_scmfsa10,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k13_scmfsa_2(A) = k4_tarski(np__6,k12_finseq_1(u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),A)) ) ).
fof(t15_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k14_scmfsa_2(B,A) = k4_tarski(np__7,k2_finseq_4(u1_struct_0(k1_scmfsa_2),B,A)) ) ) ).
fof(t16_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k15_scmfsa_2(B,A) = k4_tarski(np__8,k2_finseq_4(u1_struct_0(k1_scmfsa_2),B,A)) ) ) ).
fof(t17_scmfsa10,axiom,
k4_amistd_2(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)) = k1_xboole_0 ).
fof(t18_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k4_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B)) = k2_finseq_4(u1_struct_0(k1_scmfsa_2),A,B) ) ) ).
fof(t19_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k4_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B)) = k2_finseq_4(u1_struct_0(k1_scmfsa_2),A,B) ) ) ).
fof(t20_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k4_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B)) = k2_finseq_4(u1_struct_0(k1_scmfsa_2),A,B) ) ) ).
fof(t21_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k4_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B)) = k2_finseq_4(u1_struct_0(k1_scmfsa_2),A,B) ) ) ).
fof(t22_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k4_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B)) = k2_finseq_4(u1_struct_0(k1_scmfsa_2),A,B) ) ) ).
fof(t23_scmfsa10,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k4_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k13_scmfsa_2(A)) = k12_finseq_1(u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),A) ) ).
fof(t24_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k4_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k14_scmfsa_2(B,A)) = k2_finseq_4(u1_struct_0(k1_scmfsa_2),B,A) ) ) ).
fof(t25_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k4_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k15_scmfsa_2(B,A)) = k2_finseq_4(u1_struct_0(k1_scmfsa_2),B,A) ) ) ).
fof(t26_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_scmfsa_2(C)
=> k4_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(A,B,C)) = k3_finseq_4(u1_struct_0(k1_scmfsa_2),A,C,B) ) ) ) ).
fof(t27_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_scmfsa_2(C)
=> k4_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(B,A,C)) = k3_finseq_4(u1_struct_0(k1_scmfsa_2),B,C,A) ) ) ) ).
fof(t28_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m2_scmfsa_2(B)
=> k4_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(A,B)) = k2_finseq_4(u1_struct_0(k1_scmfsa_2),A,B) ) ) ).
fof(t29_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m2_scmfsa_2(B)
=> k4_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(A,B)) = k2_finseq_4(u1_struct_0(k1_scmfsa_2),A,B) ) ) ).
fof(t30_scmfsa10,axiom,
! [A] :
( m1_subset_1(A,u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( A = np__0
=> k5_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = k1_tarski(np__0) ) ) ).
fof(t31_scmfsa10,axiom,
! [A] :
( m1_subset_1(A,u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( A = np__1
=> k1_relat_1(k1_amistd_2(k5_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A))) = k2_tarski(np__1,np__2) ) ) ).
fof(t32_scmfsa10,axiom,
! [A] :
( m1_subset_1(A,u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( A = np__2
=> k1_relat_1(k1_amistd_2(k5_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A))) = k2_tarski(np__1,np__2) ) ) ).
fof(t33_scmfsa10,axiom,
! [A] :
( m1_subset_1(A,u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( A = np__3
=> k1_relat_1(k1_amistd_2(k5_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A))) = k2_tarski(np__1,np__2) ) ) ).
fof(t34_scmfsa10,axiom,
! [A] :
( m1_subset_1(A,u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( A = np__4
=> k1_relat_1(k1_amistd_2(k5_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A))) = k2_tarski(np__1,np__2) ) ) ).
fof(t35_scmfsa10,axiom,
! [A] :
( m1_subset_1(A,u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( A = np__5
=> k1_relat_1(k1_amistd_2(k5_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A))) = k2_tarski(np__1,np__2) ) ) ).
fof(t36_scmfsa10,axiom,
! [A] :
( m1_subset_1(A,u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( A = np__6
=> k1_relat_1(k1_amistd_2(k5_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A))) = k1_tarski(np__1) ) ) ).
fof(t37_scmfsa10,axiom,
! [A] :
( m1_subset_1(A,u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( A = np__7
=> k1_relat_1(k1_amistd_2(k5_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A))) = k2_tarski(np__1,np__2) ) ) ).
fof(t38_scmfsa10,axiom,
! [A] :
( m1_subset_1(A,u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( A = np__8
=> k1_relat_1(k1_amistd_2(k5_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A))) = k2_tarski(np__1,np__2) ) ) ).
fof(t39_scmfsa10,axiom,
! [A] :
( m1_subset_1(A,u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( A = np__9
=> k1_relat_1(k1_amistd_2(k5_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A))) = k1_enumset1(np__1,np__2,np__3) ) ) ).
fof(t40_scmfsa10,axiom,
! [A] :
( m1_subset_1(A,u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( A = np__10
=> k1_relat_1(k1_amistd_2(k5_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A))) = k1_enumset1(np__1,np__2,np__3) ) ) ).
fof(t41_scmfsa10,axiom,
! [A] :
( m1_subset_1(A,u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( A = np__11
=> k1_relat_1(k1_amistd_2(k5_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A))) = k2_tarski(np__1,np__2) ) ) ).
fof(t42_scmfsa10,axiom,
! [A] :
( m1_subset_1(A,u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( A = np__12
=> k1_relat_1(k1_amistd_2(k5_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A))) = k2_tarski(np__1,np__2) ) ) ).
fof(t43_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k8_scmfsa_2(A,B)))),np__1) = k1_scmfsa_1 ) ) ).
fof(t44_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k8_scmfsa_2(A,B)))),np__2) = k1_scmfsa_1 ) ) ).
fof(t45_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k9_scmfsa_2(A,B)))),np__1) = k1_scmfsa_1 ) ) ).
fof(t46_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k9_scmfsa_2(A,B)))),np__2) = k1_scmfsa_1 ) ) ).
fof(t47_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k10_scmfsa_2(A,B)))),np__1) = k1_scmfsa_1 ) ) ).
fof(t48_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k10_scmfsa_2(A,B)))),np__2) = k1_scmfsa_1 ) ) ).
fof(t49_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k11_scmfsa_2(A,B)))),np__1) = k1_scmfsa_1 ) ) ).
fof(t50_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k11_scmfsa_2(A,B)))),np__2) = k1_scmfsa_1 ) ) ).
fof(t51_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k12_scmfsa_2(A,B)))),np__1) = k1_scmfsa_1 ) ) ).
fof(t52_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k12_scmfsa_2(A,B)))),np__2) = k1_scmfsa_1 ) ) ).
fof(t53_scmfsa10,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_funct_1(k1_amistd_2(k5_amistd_2(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__1) = u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ).
fof(t54_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k14_scmfsa_2(B,A)))),np__1) = u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(t55_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k14_scmfsa_2(B,A)))),np__2) = k1_scmfsa_1 ) ) ).
fof(t56_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k15_scmfsa_2(B,A)))),np__1) = u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(t57_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k15_scmfsa_2(B,A)))),np__2) = k1_scmfsa_1 ) ) ).
fof(t58_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_scmfsa_2(C)
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k16_scmfsa_2(A,B,C)))),np__1) = k1_scmfsa_1 ) ) ) ).
fof(t59_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_scmfsa_2(C)
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k16_scmfsa_2(A,B,C)))),np__2) = k2_scmfsa_1 ) ) ) ).
fof(t60_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_scmfsa_2(C)
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k16_scmfsa_2(A,B,C)))),np__3) = k1_scmfsa_1 ) ) ) ).
fof(t61_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_scmfsa_2(C)
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k17_scmfsa_2(B,A,C)))),np__1) = k1_scmfsa_1 ) ) ) ).
fof(t62_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_scmfsa_2(C)
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k17_scmfsa_2(B,A,C)))),np__2) = k2_scmfsa_1 ) ) ) ).
fof(t63_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_scmfsa_2(C)
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k17_scmfsa_2(B,A,C)))),np__3) = k1_scmfsa_1 ) ) ) ).
fof(t64_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m2_scmfsa_2(B)
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k18_scmfsa_2(A,B)))),np__1) = k1_scmfsa_1 ) ) ).
fof(t65_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m2_scmfsa_2(B)
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k18_scmfsa_2(A,B)))),np__2) = k2_scmfsa_1 ) ) ).
fof(t66_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m2_scmfsa_2(B)
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k19_scmfsa_2(A,B)))),np__1) = k1_scmfsa_1 ) ) ).
fof(t67_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m2_scmfsa_2(B)
=> k1_funct_1(k1_amistd_2(k5_amistd_2(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,k19_scmfsa_2(A,B)))),np__2) = k2_scmfsa_1 ) ) ).
fof(t68_scmfsa10,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_amistd_1(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)) = k1_tarski(A) ) ).
fof(t69_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_struct_0(C,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k1_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,k8_scmfsa_2(A,B)) = k1_tarski(k7_scmfsa_2(C)) ) ) ) ).
fof(t70_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_struct_0(C,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k1_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,k9_scmfsa_2(A,B)) = k1_tarski(k7_scmfsa_2(C)) ) ) ) ).
fof(t71_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_struct_0(C,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k1_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,k10_scmfsa_2(A,B)) = k1_tarski(k7_scmfsa_2(C)) ) ) ) ).
fof(t72_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_struct_0(C,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k1_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,k11_scmfsa_2(A,B)) = k1_tarski(k7_scmfsa_2(C)) ) ) ) ).
fof(t73_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_struct_0(C,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k1_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,k12_scmfsa_2(A,B)) = k1_tarski(k7_scmfsa_2(C)) ) ) ) ).
fof(t74_scmfsa10,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))
=> k1_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B,k13_scmfsa_2(A)) = k1_tarski(A) ) ) ).
fof(t75_scmfsa10,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k13_scmfsa_2(A)) = k1_tarski(A) ) ).
fof(t76_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [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))
=> k1_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,k14_scmfsa_2(B,A)) = k2_tarski(B,k7_scmfsa_2(C)) ) ) ) ).
fof(t77_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k14_scmfsa_2(B,A)) = k1_tarski(B) ) ) ).
fof(t78_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [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))
=> k1_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,k15_scmfsa_2(B,A)) = k2_tarski(B,k7_scmfsa_2(C)) ) ) ) ).
fof(t79_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k2_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k15_scmfsa_2(B,A)) = k1_tarski(B) ) ) ).
fof(t80_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_scmfsa_2(C)
=> ! [D] :
( m1_struct_0(D,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k1_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,D,k16_scmfsa_2(A,B,C)) = k1_tarski(k7_scmfsa_2(D)) ) ) ) ) ).
fof(t81_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_scmfsa_2(C)
=> ! [D] :
( m1_struct_0(D,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k1_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,D,k17_scmfsa_2(B,A,C)) = k1_tarski(k7_scmfsa_2(D)) ) ) ) ) ).
fof(t82_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m2_scmfsa_2(B)
=> ! [C] :
( m1_struct_0(C,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k1_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,k18_scmfsa_2(A,B)) = k1_tarski(k7_scmfsa_2(C)) ) ) ) ).
fof(t83_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m2_scmfsa_2(B)
=> ! [C] :
( m1_struct_0(C,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k1_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C,k19_scmfsa_2(A,B)) = k1_tarski(k7_scmfsa_2(C)) ) ) ) ).
fof(t84_scmfsa10,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k3_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = k2_tarski(A,k7_scmfsa_2(A)) ) ).
fof(t85_scmfsa10,axiom,
! [A] :
( ( v1_funct_1(A)
& v1_funct_2(A,k5_numbers,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
& m2_relset_1(A,k5_numbers,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) )
=> ( ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> k8_funct_2(k5_numbers,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),A,B) = k5_scmfsa_2(B) )
=> ( v3_funct_2(A,k5_numbers,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
& ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( r2_hidden(k8_funct_2(k5_numbers,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),A,k1_nat_1(B,np__1)),k3_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_funct_2(k5_numbers,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),A,B)))
& ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ( r2_hidden(k8_funct_2(k5_numbers,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),A,C),k3_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_funct_2(k5_numbers,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),A,B)))
=> r1_xreal_0(B,C) ) ) ) ) ) ) ) ).
fof(t86_scmfsa10,axiom,
! [A] :
( v4_ordinal2(A)
=> k5_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = k5_scmfsa_2(A) ) ).
fof(t87_scmfsa10,axiom,
! [A] :
( v4_ordinal2(A)
=> k7_scmfsa_2(k5_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A)) = k5_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k2_xcmplx_0(A,np__1)) ) ).
fof(t88_scmfsa10,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k7_scmfsa_2(A) = k9_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) ) ).
fof(t89_scmfsa10,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] :
( v4_ordinal2(B)
=> k8_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k13_scmfsa_2(A),B) = k13_scmfsa_2(k5_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k2_xcmplx_0(k7_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A),B))) ) ) ).
fof(t90_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [C] :
( v4_ordinal2(C)
=> k8_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k14_scmfsa_2(B,A),C) = k14_scmfsa_2(k5_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k2_xcmplx_0(k7_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B),C)),A) ) ) ) ).
fof(t91_scmfsa10,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [C] :
( v4_ordinal2(C)
=> k8_amistd_2(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k15_scmfsa_2(B,A),C) = k15_scmfsa_2(k5_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k2_xcmplx_0(k7_amistd_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B),C)),A) ) ) ) ).
fof(dt_k1_scmfsa10,axiom,
! [A,B,C,D] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B)
& v1_int_1(C)
& v1_int_1(D) )
=> m1_ami_1(k1_scmfsa10(A,B,C,D),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ).
fof(redefinition_k1_scmfsa10,axiom,
! [A,B,C,D] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B)
& v1_int_1(C)
& v1_int_1(D) )
=> k1_scmfsa10(A,B,C,D) = k4_funct_4(A,B,C,D) ) ).
%------------------------------------------------------------------------------