SET007 Axioms: SET007+553.ax
%------------------------------------------------------------------------------
% File : SET007+553 : TPTP v8.2.0. Released v3.4.0.
% Domain : Set Theory
% Axioms : Bounding Boxes for Special Sequences in E^2
% 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 : jordan5d [Urb08]
% Status : Satisfiable
% Syntax : Number of formulae : 92 ( 2 unt; 0 def)
% Number of atoms : 988 ( 110 equ)
% Maximal formula atoms : 22 ( 10 avg)
% Number of connectives : 1069 ( 173 ~; 0 |; 663 &)
% ( 24 <=>; 209 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 10 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 78 ( 78 usr; 7 con; 0-4 aty)
% Number of variables : 196 ( 186 !; 10 ?)
% 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(t1_jordan5d,axiom,
$true ).
fof(t2_jordan5d,axiom,
$true ).
fof(t3_jordan5d,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ! [B] :
( m2_finseq_1(B,u1_struct_0(k15_euclid(A)))
=> ( r1_xreal_0(np__2,k3_finseq_1(B))
=> r2_hidden(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(A)),B,k3_finseq_1(B)),k4_topreal1(A,B,k5_binarith(k3_finseq_1(B),np__1))) ) ) ) ).
fof(t4_jordan5d,axiom,
! [A] :
( m2_subset_1(A,k1_numbers,k5_numbers)
=> ( r1_xreal_0(np__3,A)
=> k4_nat_1(A,k5_binarith(A,np__1)) = np__1 ) ) ).
fof(t5_jordan5d,axiom,
! [A] :
( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
=> ! [B] :
( ( ~ v1_xboole_0(B)
& ~ v5_seqm_3(B)
& v1_topreal1(B)
& v2_topreal1(B)
& v1_finseq_6(B,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(B)
& v2_goboard5(B)
& m2_finseq_1(B,u1_struct_0(k15_euclid(np__2))) )
=> ~ ( r2_hidden(A,k2_relat_1(B))
& ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ~ ( r1_xreal_0(np__1,C)
& r1_xreal_0(k1_nat_1(C,np__1),k3_finseq_1(B))
& k1_funct_1(B,C) = A ) ) ) ) ) ).
fof(t6_jordan5d,axiom,
! [A] :
( m1_subset_1(A,k1_numbers)
=> ! [B] :
( m2_finseq_1(B,k1_numbers)
=> ( r2_hidden(A,k2_relat_1(B))
=> ( r1_xreal_0(k1_goboard1(k2_goboard2(B),np__1),A)
& r1_xreal_0(A,k1_goboard1(k2_goboard2(B),k3_finseq_1(k2_goboard2(B)))) ) ) ) ) ).
fof(t7_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ( ( r1_xreal_0(np__1,B)
& r1_xreal_0(B,k3_finseq_1(A))
& r1_xreal_0(np__1,C)
& r1_xreal_0(C,k1_matrix_1(k3_goboard2(A))) )
=> ( r1_xreal_0(k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,C)),k21_euclid(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B)))
& r1_xreal_0(k21_euclid(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B)),k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),C))) ) ) ) ) ) ).
fof(t8_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ( ( r1_xreal_0(np__1,B)
& r1_xreal_0(B,k3_finseq_1(A))
& r1_xreal_0(np__1,C)
& r1_xreal_0(C,k3_finseq_1(k3_goboard2(A))) )
=> ( r1_xreal_0(k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),C,np__1)),k22_euclid(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B)))
& r1_xreal_0(k22_euclid(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B)),k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),C,k1_matrix_1(k3_goboard2(A))))) ) ) ) ) ) ).
fof(t9_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ~ ( r1_xreal_0(np__1,B)
& r1_xreal_0(B,k3_finseq_1(k3_goboard2(A)))
& ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ! [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
=> ~ ( r2_hidden(C,k4_finseq_1(A))
& r2_hidden(k4_tarski(B,D),k2_matrix_1(k3_goboard2(A)))
& k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,C) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),B,D) ) ) ) ) ) ) ).
fof(t10_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ~ ( r1_xreal_0(np__1,B)
& r1_xreal_0(B,k1_matrix_1(k3_goboard2(A)))
& ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ! [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
=> ~ ( r2_hidden(C,k4_finseq_1(A))
& r2_hidden(k4_tarski(D,B),k2_matrix_1(k3_goboard2(A)))
& k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,C) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),D,B) ) ) ) ) ) ) ).
fof(t11_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ~ ( r1_xreal_0(np__1,B)
& r1_xreal_0(B,k3_finseq_1(k3_goboard2(A)))
& r1_xreal_0(np__1,C)
& r1_xreal_0(C,k1_matrix_1(k3_goboard2(A)))
& ! [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
=> ~ ( r2_hidden(D,k4_finseq_1(A))
& r2_hidden(k4_tarski(B,C),k2_matrix_1(k3_goboard2(A)))
& k21_euclid(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,D)) = k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),B,C)) ) ) ) ) ) ) ).
fof(t12_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ~ ( r1_xreal_0(np__1,B)
& r1_xreal_0(B,k3_finseq_1(k3_goboard2(A)))
& r1_xreal_0(np__1,C)
& r1_xreal_0(C,k1_matrix_1(k3_goboard2(A)))
& ! [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
=> ~ ( r2_hidden(D,k4_finseq_1(A))
& r2_hidden(k4_tarski(B,C),k2_matrix_1(k3_goboard2(A)))
& k22_euclid(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,D)) = k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),B,C)) ) ) ) ) ) ) ).
fof(t13_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( ( r1_xreal_0(np__1,B)
& r1_xreal_0(B,k3_finseq_1(A)) )
=> ( r1_xreal_0(k21_pscomp_1(k5_topreal1(np__2,A)),k22_euclid(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B)))
& r1_xreal_0(k22_euclid(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B)),k19_pscomp_1(k5_topreal1(np__2,A))) ) ) ) ) ).
fof(t14_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( ( r1_xreal_0(np__1,B)
& r1_xreal_0(B,k3_finseq_1(A)) )
=> ( r1_xreal_0(k18_pscomp_1(k5_topreal1(np__2,A)),k21_euclid(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B)))
& r1_xreal_0(k21_euclid(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B)),k20_pscomp_1(k5_topreal1(np__2,A))) ) ) ) ) ).
fof(t33_jordan5d,axiom,
! [A] :
( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
=> ! [B] :
( ( ~ v1_xboole_0(B)
& ~ v5_seqm_3(B)
& v1_topreal1(B)
& v2_topreal1(B)
& v1_finseq_6(B,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(B)
& v2_goboard5(B)
& m2_finseq_1(B,u1_struct_0(k15_euclid(np__2))) )
=> ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ( ( r2_hidden(A,k5_topreal1(np__2,B))
& r1_xreal_0(np__1,C)
& r1_xreal_0(C,k1_matrix_1(k3_goboard2(B))) )
=> r1_xreal_0(k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(B),np__1,C)),k21_euclid(A)) ) ) ) ) ).
fof(t34_jordan5d,axiom,
! [A] :
( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
=> ! [B] :
( ( ~ v1_xboole_0(B)
& ~ v5_seqm_3(B)
& v1_topreal1(B)
& v2_topreal1(B)
& v1_finseq_6(B,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(B)
& v2_goboard5(B)
& m2_finseq_1(B,u1_struct_0(k15_euclid(np__2))) )
=> ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ( ( r2_hidden(A,k5_topreal1(np__2,B))
& r1_xreal_0(np__1,C)
& r1_xreal_0(C,k1_matrix_1(k3_goboard2(B))) )
=> r1_xreal_0(k21_euclid(A),k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(B),k3_finseq_1(k3_goboard2(B)),C))) ) ) ) ) ).
fof(t35_jordan5d,axiom,
! [A] :
( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
=> ! [B] :
( ( ~ v1_xboole_0(B)
& ~ v5_seqm_3(B)
& v1_topreal1(B)
& v2_topreal1(B)
& v1_finseq_6(B,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(B)
& v2_goboard5(B)
& m2_finseq_1(B,u1_struct_0(k15_euclid(np__2))) )
=> ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ( ( r2_hidden(A,k5_topreal1(np__2,B))
& r1_xreal_0(np__1,C)
& r1_xreal_0(C,k3_finseq_1(k3_goboard2(B))) )
=> r1_xreal_0(k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(B),C,np__1)),k22_euclid(A)) ) ) ) ) ).
fof(t36_jordan5d,axiom,
! [A] :
( m1_subset_1(A,u1_struct_0(k15_euclid(np__2)))
=> ! [B] :
( ( ~ v1_xboole_0(B)
& ~ v5_seqm_3(B)
& v1_topreal1(B)
& v2_topreal1(B)
& v1_finseq_6(B,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(B)
& v2_goboard5(B)
& m2_finseq_1(B,u1_struct_0(k15_euclid(np__2))) )
=> ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ( ( r2_hidden(A,k5_topreal1(np__2,B))
& r1_xreal_0(np__1,C)
& r1_xreal_0(C,k3_finseq_1(k3_goboard2(B))) )
=> r1_xreal_0(k22_euclid(A),k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(B),C,k1_matrix_1(k3_goboard2(B))))) ) ) ) ) ).
fof(t37_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ~ ( r1_xreal_0(np__1,B)
& r1_xreal_0(B,k3_finseq_1(k3_goboard2(A)))
& r1_xreal_0(np__1,C)
& r1_xreal_0(C,k1_matrix_1(k3_goboard2(A)))
& ! [D] :
( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
=> ~ ( k21_euclid(D) = k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),B,C))
& r2_hidden(D,k5_topreal1(np__2,A)) ) ) ) ) ) ) ).
fof(t38_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ~ ( r1_xreal_0(np__1,B)
& r1_xreal_0(B,k3_finseq_1(k3_goboard2(A)))
& r1_xreal_0(np__1,C)
& r1_xreal_0(C,k1_matrix_1(k3_goboard2(A)))
& ! [D] :
( m1_subset_1(D,u1_struct_0(k15_euclid(np__2)))
=> ~ ( k22_euclid(D) = k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),B,C))
& r2_hidden(D,k5_topreal1(np__2,A)) ) ) ) ) ) ) ).
fof(t39_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> k18_pscomp_1(k5_topreal1(np__2,A)) = k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,np__1)) ) ).
fof(t40_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> k21_pscomp_1(k5_topreal1(np__2,A)) = k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,np__1)) ) ).
fof(t41_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> k20_pscomp_1(k5_topreal1(np__2,A)) = k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),np__1)) ) ).
fof(t42_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> k19_pscomp_1(k5_topreal1(np__2,A)) = k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,k1_matrix_1(k3_goboard2(A)))) ) ).
fof(d1_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( B = k1_jordan5d(A)
<=> ( r2_hidden(k4_tarski(np__1,B),k2_matrix_1(k3_goboard2(A)))
& k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,B) = k30_pscomp_1(k5_topreal1(np__2,A)) ) ) ) ) ).
fof(d2_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( B = k2_jordan5d(A)
<=> ( r2_hidden(k4_tarski(np__1,B),k2_matrix_1(k3_goboard2(A)))
& k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,B) = k31_pscomp_1(k5_topreal1(np__2,A)) ) ) ) ) ).
fof(d3_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( B = k3_jordan5d(A)
<=> ( r2_hidden(k4_tarski(k3_finseq_1(k3_goboard2(A)),B),k2_matrix_1(k3_goboard2(A)))
& k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),B) = k35_pscomp_1(k5_topreal1(np__2,A)) ) ) ) ) ).
fof(d4_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( B = k4_jordan5d(A)
<=> ( r2_hidden(k4_tarski(k3_finseq_1(k3_goboard2(A)),B),k2_matrix_1(k3_goboard2(A)))
& k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),k3_finseq_1(k3_goboard2(A)),B) = k34_pscomp_1(k5_topreal1(np__2,A)) ) ) ) ) ).
fof(d5_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( B = k5_jordan5d(A)
<=> ( r2_hidden(k4_tarski(B,np__1),k2_matrix_1(k3_goboard2(A)))
& k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),B,np__1) = k37_pscomp_1(k5_topreal1(np__2,A)) ) ) ) ) ).
fof(d6_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( B = k6_jordan5d(A)
<=> ( r2_hidden(k4_tarski(B,np__1),k2_matrix_1(k3_goboard2(A)))
& k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),B,np__1) = k36_pscomp_1(k5_topreal1(np__2,A)) ) ) ) ) ).
fof(d7_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( B = k7_jordan5d(A)
<=> ( r2_hidden(k4_tarski(B,k1_matrix_1(k3_goboard2(A))),k2_matrix_1(k3_goboard2(A)))
& k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),B,k1_matrix_1(k3_goboard2(A))) = k32_pscomp_1(k5_topreal1(np__2,A)) ) ) ) ) ).
fof(d8_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( B = k8_jordan5d(A)
<=> ( r2_hidden(k4_tarski(B,k1_matrix_1(k3_goboard2(A))),k2_matrix_1(k3_goboard2(A)))
& k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),B,k1_matrix_1(k3_goboard2(A))) = k33_pscomp_1(k5_topreal1(np__2,A)) ) ) ) ) ).
fof(t47_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ( r1_xreal_0(np__1,k7_jordan5d(A))
& r1_xreal_0(k7_jordan5d(A),k3_finseq_1(k3_goboard2(A)))
& r1_xreal_0(np__1,k8_jordan5d(A))
& r1_xreal_0(k8_jordan5d(A),k3_finseq_1(k3_goboard2(A)))
& r1_xreal_0(np__1,k5_jordan5d(A))
& r1_xreal_0(k5_jordan5d(A),k3_finseq_1(k3_goboard2(A)))
& r1_xreal_0(np__1,k6_jordan5d(A))
& r1_xreal_0(k6_jordan5d(A),k3_finseq_1(k3_goboard2(A))) ) ) ).
fof(t48_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ( r1_xreal_0(np__1,k4_jordan5d(A))
& r1_xreal_0(k4_jordan5d(A),k1_matrix_1(k3_goboard2(A)))
& r1_xreal_0(np__1,k3_jordan5d(A))
& r1_xreal_0(k3_jordan5d(A),k1_matrix_1(k3_goboard2(A)))
& r1_xreal_0(np__1,k2_jordan5d(A))
& r1_xreal_0(k2_jordan5d(A),k1_matrix_1(k3_goboard2(A)))
& r1_xreal_0(np__1,k1_jordan5d(A))
& r1_xreal_0(k1_jordan5d(A),k1_matrix_1(k3_goboard2(A))) ) ) ).
fof(d9_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( B = k9_jordan5d(A)
<=> ( r1_xreal_0(np__1,B)
& r1_xreal_0(k1_nat_1(B,np__1),k3_finseq_1(A))
& k1_funct_1(A,B) = k30_pscomp_1(k5_topreal1(np__2,A)) ) ) ) ) ).
fof(d10_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( B = k10_jordan5d(A)
<=> ( r1_xreal_0(np__1,B)
& r1_xreal_0(k1_nat_1(B,np__1),k3_finseq_1(A))
& k1_funct_1(A,B) = k31_pscomp_1(k5_topreal1(np__2,A)) ) ) ) ) ).
fof(d11_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( B = k11_jordan5d(A)
<=> ( r1_xreal_0(np__1,B)
& r1_xreal_0(k1_nat_1(B,np__1),k3_finseq_1(A))
& k1_funct_1(A,B) = k35_pscomp_1(k5_topreal1(np__2,A)) ) ) ) ) ).
fof(d12_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( B = k12_jordan5d(A)
<=> ( r1_xreal_0(np__1,B)
& r1_xreal_0(k1_nat_1(B,np__1),k3_finseq_1(A))
& k1_funct_1(A,B) = k34_pscomp_1(k5_topreal1(np__2,A)) ) ) ) ) ).
fof(d13_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( B = k13_jordan5d(A)
<=> ( r1_xreal_0(np__1,B)
& r1_xreal_0(k1_nat_1(B,np__1),k3_finseq_1(A))
& k1_funct_1(A,B) = k37_pscomp_1(k5_topreal1(np__2,A)) ) ) ) ) ).
fof(d14_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( B = k14_jordan5d(A)
<=> ( r1_xreal_0(np__1,B)
& r1_xreal_0(k1_nat_1(B,np__1),k3_finseq_1(A))
& k1_funct_1(A,B) = k36_pscomp_1(k5_topreal1(np__2,A)) ) ) ) ) ).
fof(d15_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( B = k15_jordan5d(A)
<=> ( r1_xreal_0(np__1,B)
& r1_xreal_0(k1_nat_1(B,np__1),k3_finseq_1(A))
& k1_funct_1(A,B) = k32_pscomp_1(k5_topreal1(np__2,A)) ) ) ) ) ).
fof(d16_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ( B = k16_jordan5d(A)
<=> ( r1_xreal_0(np__1,B)
& r1_xreal_0(k1_nat_1(B,np__1),k3_finseq_1(A))
& k1_funct_1(A,B) = k33_pscomp_1(k5_topreal1(np__2,A)) ) ) ) ) ).
fof(t49_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> k15_jordan5d(A) != k13_jordan5d(A) ) ).
fof(t50_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> k9_jordan5d(A) != k11_jordan5d(A) ) ).
fof(t51_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> k16_jordan5d(A) != k14_jordan5d(A) ) ).
fof(t52_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> k10_jordan5d(A) != k12_jordan5d(A) ) ).
fof(dt_k1_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m1_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> m2_subset_1(k1_jordan5d(A),k1_numbers,k5_numbers) ) ).
fof(dt_k2_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m1_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> m2_subset_1(k2_jordan5d(A),k1_numbers,k5_numbers) ) ).
fof(dt_k3_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m1_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> m2_subset_1(k3_jordan5d(A),k1_numbers,k5_numbers) ) ).
fof(dt_k4_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m1_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> m2_subset_1(k4_jordan5d(A),k1_numbers,k5_numbers) ) ).
fof(dt_k5_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m1_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> m2_subset_1(k5_jordan5d(A),k1_numbers,k5_numbers) ) ).
fof(dt_k6_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m1_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> m2_subset_1(k6_jordan5d(A),k1_numbers,k5_numbers) ) ).
fof(dt_k7_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m1_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> m2_subset_1(k7_jordan5d(A),k1_numbers,k5_numbers) ) ).
fof(dt_k8_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m1_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> m2_subset_1(k8_jordan5d(A),k1_numbers,k5_numbers) ) ).
fof(dt_k9_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m1_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> m2_subset_1(k9_jordan5d(A),k1_numbers,k5_numbers) ) ).
fof(dt_k10_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m1_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> m2_subset_1(k10_jordan5d(A),k1_numbers,k5_numbers) ) ).
fof(dt_k11_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m1_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> m2_subset_1(k11_jordan5d(A),k1_numbers,k5_numbers) ) ).
fof(dt_k12_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m1_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> m2_subset_1(k12_jordan5d(A),k1_numbers,k5_numbers) ) ).
fof(dt_k13_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m1_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> m2_subset_1(k13_jordan5d(A),k1_numbers,k5_numbers) ) ).
fof(dt_k14_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m1_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> m2_subset_1(k14_jordan5d(A),k1_numbers,k5_numbers) ) ).
fof(dt_k15_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m1_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> m2_subset_1(k15_jordan5d(A),k1_numbers,k5_numbers) ) ).
fof(dt_k16_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m1_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> m2_subset_1(k16_jordan5d(A),k1_numbers,k5_numbers) ) ).
fof(t15_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(k1_numbers))
=> ( B = a_1_0_jordan5d(A)
=> B = k9_relat_1(k15_pscomp_1(k15_euclid(np__2),k26_pscomp_1(k5_topreal1(np__2,A)),k17_pscomp_1),u1_struct_0(k3_pre_topc(k15_euclid(np__2),k26_pscomp_1(k5_topreal1(np__2,A))))) ) ) ) ).
fof(t16_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(k1_numbers))
=> ( B = a_1_1_jordan5d(A)
=> B = k9_relat_1(k15_pscomp_1(k15_euclid(np__2),k28_pscomp_1(k5_topreal1(np__2,A)),k17_pscomp_1),u1_struct_0(k3_pre_topc(k15_euclid(np__2),k28_pscomp_1(k5_topreal1(np__2,A))))) ) ) ) ).
fof(t17_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(k1_numbers))
=> ( B = a_1_2_jordan5d(A)
=> B = k9_relat_1(k15_pscomp_1(k15_euclid(np__2),k27_pscomp_1(k5_topreal1(np__2,A)),k16_pscomp_1),u1_struct_0(k3_pre_topc(k15_euclid(np__2),k27_pscomp_1(k5_topreal1(np__2,A))))) ) ) ) ).
fof(t18_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(k1_numbers))
=> ( B = a_1_3_jordan5d(A)
=> B = k9_relat_1(k15_pscomp_1(k15_euclid(np__2),k29_pscomp_1(k5_topreal1(np__2,A)),k16_pscomp_1),u1_struct_0(k3_pre_topc(k15_euclid(np__2),k29_pscomp_1(k5_topreal1(np__2,A))))) ) ) ) ).
fof(t19_jordan5d,axiom,
! [A] :
( m2_finseq_1(A,u1_struct_0(k15_euclid(np__2)))
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(k1_numbers))
=> ( B = a_1_4_jordan5d(A)
=> B = k9_relat_1(k15_pscomp_1(k15_euclid(np__2),k5_topreal1(np__2,A),k16_pscomp_1),u1_struct_0(k3_pre_topc(k15_euclid(np__2),k5_topreal1(np__2,A)))) ) ) ) ).
fof(t20_jordan5d,axiom,
! [A] :
( m2_finseq_1(A,u1_struct_0(k15_euclid(np__2)))
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(k1_numbers))
=> ( B = a_1_5_jordan5d(A)
=> B = k9_relat_1(k15_pscomp_1(k15_euclid(np__2),k5_topreal1(np__2,A),k17_pscomp_1),u1_struct_0(k3_pre_topc(k15_euclid(np__2),k5_topreal1(np__2,A)))) ) ) ) ).
fof(t21_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(k1_numbers))
=> ( B = a_1_0_jordan5d(A)
=> k5_seq_4(B) = k12_pscomp_1(k3_pre_topc(k15_euclid(np__2),k26_pscomp_1(k5_topreal1(np__2,A))),k15_pscomp_1(k15_euclid(np__2),k26_pscomp_1(k5_topreal1(np__2,A)),k17_pscomp_1)) ) ) ) ).
fof(t22_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(k1_numbers))
=> ( B = a_1_0_jordan5d(A)
=> k4_seq_4(B) = k13_pscomp_1(k3_pre_topc(k15_euclid(np__2),k26_pscomp_1(k5_topreal1(np__2,A))),k15_pscomp_1(k15_euclid(np__2),k26_pscomp_1(k5_topreal1(np__2,A)),k17_pscomp_1)) ) ) ) ).
fof(t23_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(k1_numbers))
=> ( B = a_1_1_jordan5d(A)
=> k5_seq_4(B) = k12_pscomp_1(k3_pre_topc(k15_euclid(np__2),k28_pscomp_1(k5_topreal1(np__2,A))),k15_pscomp_1(k15_euclid(np__2),k28_pscomp_1(k5_topreal1(np__2,A)),k17_pscomp_1)) ) ) ) ).
fof(t24_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(k1_numbers))
=> ( B = a_1_1_jordan5d(A)
=> k4_seq_4(B) = k13_pscomp_1(k3_pre_topc(k15_euclid(np__2),k28_pscomp_1(k5_topreal1(np__2,A))),k15_pscomp_1(k15_euclid(np__2),k28_pscomp_1(k5_topreal1(np__2,A)),k17_pscomp_1)) ) ) ) ).
fof(t25_jordan5d,axiom,
! [A] :
( m2_finseq_1(A,u1_struct_0(k15_euclid(np__2)))
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(k1_numbers))
=> ( B = a_1_4_jordan5d(A)
=> k5_seq_4(B) = k12_pscomp_1(k3_pre_topc(k15_euclid(np__2),k5_topreal1(np__2,A)),k15_pscomp_1(k15_euclid(np__2),k5_topreal1(np__2,A),k16_pscomp_1)) ) ) ) ).
fof(t26_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(k1_numbers))
=> ( B = a_1_3_jordan5d(A)
=> k5_seq_4(B) = k12_pscomp_1(k3_pre_topc(k15_euclid(np__2),k29_pscomp_1(k5_topreal1(np__2,A))),k15_pscomp_1(k15_euclid(np__2),k29_pscomp_1(k5_topreal1(np__2,A)),k16_pscomp_1)) ) ) ) ).
fof(t27_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(k1_numbers))
=> ( B = a_1_3_jordan5d(A)
=> k4_seq_4(B) = k13_pscomp_1(k3_pre_topc(k15_euclid(np__2),k29_pscomp_1(k5_topreal1(np__2,A))),k15_pscomp_1(k15_euclid(np__2),k29_pscomp_1(k5_topreal1(np__2,A)),k16_pscomp_1)) ) ) ) ).
fof(t28_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(k1_numbers))
=> ( B = a_1_2_jordan5d(A)
=> k5_seq_4(B) = k12_pscomp_1(k3_pre_topc(k15_euclid(np__2),k27_pscomp_1(k5_topreal1(np__2,A))),k15_pscomp_1(k15_euclid(np__2),k27_pscomp_1(k5_topreal1(np__2,A)),k16_pscomp_1)) ) ) ) ).
fof(t29_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(k1_numbers))
=> ( B = a_1_2_jordan5d(A)
=> k4_seq_4(B) = k13_pscomp_1(k3_pre_topc(k15_euclid(np__2),k27_pscomp_1(k5_topreal1(np__2,A))),k15_pscomp_1(k15_euclid(np__2),k27_pscomp_1(k5_topreal1(np__2,A)),k16_pscomp_1)) ) ) ) ).
fof(t30_jordan5d,axiom,
! [A] :
( m2_finseq_1(A,u1_struct_0(k15_euclid(np__2)))
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(k1_numbers))
=> ( B = a_1_5_jordan5d(A)
=> k5_seq_4(B) = k12_pscomp_1(k3_pre_topc(k15_euclid(np__2),k5_topreal1(np__2,A)),k15_pscomp_1(k15_euclid(np__2),k5_topreal1(np__2,A),k17_pscomp_1)) ) ) ) ).
fof(t31_jordan5d,axiom,
! [A] :
( m2_finseq_1(A,u1_struct_0(k15_euclid(np__2)))
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(k1_numbers))
=> ( B = a_1_4_jordan5d(A)
=> k4_seq_4(B) = k13_pscomp_1(k3_pre_topc(k15_euclid(np__2),k5_topreal1(np__2,A)),k15_pscomp_1(k15_euclid(np__2),k5_topreal1(np__2,A),k16_pscomp_1)) ) ) ) ).
fof(t32_jordan5d,axiom,
! [A] :
( m2_finseq_1(A,u1_struct_0(k15_euclid(np__2)))
=> ! [B] :
( m1_subset_1(B,k1_zfmisc_1(k1_numbers))
=> ( B = a_1_5_jordan5d(A)
=> k4_seq_4(B) = k13_pscomp_1(k3_pre_topc(k15_euclid(np__2),k5_topreal1(np__2,A)),k15_pscomp_1(k15_euclid(np__2),k5_topreal1(np__2,A),k17_pscomp_1)) ) ) ) ).
fof(t43_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ! [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
=> ! [E] :
( ( ~ v1_xboole_0(E)
& v1_finset_1(E)
& m1_subset_1(E,k1_zfmisc_1(k5_numbers)) )
=> ( ( r1_xreal_0(np__1,B)
& r1_xreal_0(B,k3_finseq_1(A))
& r1_xreal_0(np__1,C)
& r1_xreal_0(C,k3_finseq_1(k3_goboard2(A)))
& E = a_2_0_jordan5d(A,C)
& k21_euclid(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B)) = k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),C,np__1))
& D = k10_cqc_sim1(E) )
=> r1_xreal_0(k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),C,D)),k22_euclid(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B))) ) ) ) ) ) ) ).
fof(t44_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ! [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
=> ! [E] :
( ( ~ v1_xboole_0(E)
& v1_finset_1(E)
& m1_subset_1(E,k1_zfmisc_1(k5_numbers)) )
=> ( ( r1_xreal_0(np__1,B)
& r1_xreal_0(B,k3_finseq_1(A))
& r1_xreal_0(np__1,C)
& r1_xreal_0(C,k1_matrix_1(k3_goboard2(A)))
& E = a_2_1_jordan5d(A,C)
& k22_euclid(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B)) = k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,C))
& D = k10_cqc_sim1(E) )
=> r1_xreal_0(k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),D,C)),k21_euclid(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B))) ) ) ) ) ) ) ).
fof(t45_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& ~ v5_seqm_3(A)
& v1_topreal1(A)
& v2_topreal1(A)
& v1_finseq_6(A,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(A)
& v2_goboard5(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ! [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
=> ! [E] :
( ( ~ v1_xboole_0(E)
& v1_finset_1(E)
& m1_subset_1(E,k1_zfmisc_1(k5_numbers)) )
=> ( ( r1_xreal_0(np__1,B)
& r1_xreal_0(B,k3_finseq_1(A))
& r1_xreal_0(np__1,C)
& r1_xreal_0(C,k1_matrix_1(k3_goboard2(A)))
& E = a_2_1_jordan5d(A,C)
& k22_euclid(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B)) = k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),np__1,C))
& D = k1_pre_circ(E) )
=> r1_xreal_0(k21_euclid(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B)),k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),D,C))) ) ) ) ) ) ) ).
fof(t46_jordan5d,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& m2_finseq_1(A,u1_struct_0(k15_euclid(np__2))) )
=> ! [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
=> ! [C] :
( m2_subset_1(C,k1_numbers,k5_numbers)
=> ! [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
=> ! [E] :
( ( ~ v1_xboole_0(E)
& v1_finset_1(E)
& m1_subset_1(E,k1_zfmisc_1(k5_numbers)) )
=> ( ( r1_xreal_0(np__1,B)
& r1_xreal_0(B,k3_finseq_1(A))
& r1_xreal_0(np__1,C)
& r1_xreal_0(C,k3_finseq_1(k3_goboard2(A)))
& E = a_2_0_jordan5d(A,C)
& k21_euclid(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B)) = k21_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),C,np__1))
& D = k1_pre_circ(E) )
=> r1_xreal_0(k22_euclid(k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),A,B)),k22_euclid(k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(A),C,D))) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_jordan5d,axiom,
! [A,B] :
( ( ~ v1_xboole_0(B)
& ~ v5_seqm_3(B)
& v1_topreal1(B)
& v2_topreal1(B)
& v1_finseq_6(B,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(B)
& v2_goboard5(B)
& m2_finseq_1(B,u1_struct_0(k15_euclid(np__2))) )
=> ( r2_hidden(A,a_1_0_jordan5d(B))
<=> ? [C] :
( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
& A = k22_euclid(C)
& k21_euclid(C) = k18_pscomp_1(k5_topreal1(np__2,B))
& r2_hidden(C,k5_topreal1(np__2,B)) ) ) ) ).
fof(fraenkel_a_1_1_jordan5d,axiom,
! [A,B] :
( ( ~ v1_xboole_0(B)
& ~ v5_seqm_3(B)
& v1_topreal1(B)
& v2_topreal1(B)
& v1_finseq_6(B,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(B)
& v2_goboard5(B)
& m2_finseq_1(B,u1_struct_0(k15_euclid(np__2))) )
=> ( r2_hidden(A,a_1_1_jordan5d(B))
<=> ? [C] :
( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
& A = k22_euclid(C)
& k21_euclid(C) = k20_pscomp_1(k5_topreal1(np__2,B))
& r2_hidden(C,k5_topreal1(np__2,B)) ) ) ) ).
fof(fraenkel_a_1_2_jordan5d,axiom,
! [A,B] :
( ( ~ v1_xboole_0(B)
& ~ v5_seqm_3(B)
& v1_topreal1(B)
& v2_topreal1(B)
& v1_finseq_6(B,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(B)
& v2_goboard5(B)
& m2_finseq_1(B,u1_struct_0(k15_euclid(np__2))) )
=> ( r2_hidden(A,a_1_2_jordan5d(B))
<=> ? [C] :
( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
& A = k21_euclid(C)
& k22_euclid(C) = k19_pscomp_1(k5_topreal1(np__2,B))
& r2_hidden(C,k5_topreal1(np__2,B)) ) ) ) ).
fof(fraenkel_a_1_3_jordan5d,axiom,
! [A,B] :
( ( ~ v1_xboole_0(B)
& ~ v5_seqm_3(B)
& v1_topreal1(B)
& v2_topreal1(B)
& v1_finseq_6(B,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(B)
& v2_goboard5(B)
& m2_finseq_1(B,u1_struct_0(k15_euclid(np__2))) )
=> ( r2_hidden(A,a_1_3_jordan5d(B))
<=> ? [C] :
( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
& A = k21_euclid(C)
& k22_euclid(C) = k21_pscomp_1(k5_topreal1(np__2,B))
& r2_hidden(C,k5_topreal1(np__2,B)) ) ) ) ).
fof(fraenkel_a_1_4_jordan5d,axiom,
! [A,B] :
( m2_finseq_1(B,u1_struct_0(k15_euclid(np__2)))
=> ( r2_hidden(A,a_1_4_jordan5d(B))
<=> ? [C] :
( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
& A = k21_euclid(C)
& r2_hidden(C,k5_topreal1(np__2,B)) ) ) ) ).
fof(fraenkel_a_1_5_jordan5d,axiom,
! [A,B] :
( m2_finseq_1(B,u1_struct_0(k15_euclid(np__2)))
=> ( r2_hidden(A,a_1_5_jordan5d(B))
<=> ? [C] :
( m1_subset_1(C,u1_struct_0(k15_euclid(np__2)))
& A = k22_euclid(C)
& r2_hidden(C,k5_topreal1(np__2,B)) ) ) ) ).
fof(fraenkel_a_2_0_jordan5d,axiom,
! [A,B,C] :
( ( ~ v1_xboole_0(B)
& m2_finseq_1(B,u1_struct_0(k15_euclid(np__2)))
& m2_subset_1(C,k1_numbers,k5_numbers) )
=> ( r2_hidden(A,a_2_0_jordan5d(B,C))
<=> ? [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
& A = D
& r2_hidden(k4_tarski(C,D),k2_matrix_1(k3_goboard2(B)))
& ? [E] :
( m2_subset_1(E,k1_numbers,k5_numbers)
& r2_hidden(E,k4_finseq_1(B))
& k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),B,E) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(B),C,D) ) ) ) ) ).
fof(fraenkel_a_2_1_jordan5d,axiom,
! [A,B,C] :
( ( ~ v1_xboole_0(B)
& ~ v5_seqm_3(B)
& v1_topreal1(B)
& v2_topreal1(B)
& v1_finseq_6(B,u1_struct_0(k15_euclid(np__2)))
& v1_goboard5(B)
& v2_goboard5(B)
& m2_finseq_1(B,u1_struct_0(k15_euclid(np__2)))
& m2_subset_1(C,k1_numbers,k5_numbers) )
=> ( r2_hidden(A,a_2_1_jordan5d(B,C))
<=> ? [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
& A = D
& r2_hidden(k4_tarski(D,C),k2_matrix_1(k3_goboard2(B)))
& ? [E] :
( m2_subset_1(E,k1_numbers,k5_numbers)
& r2_hidden(E,k4_finseq_1(B))
& k4_finseq_4(k5_numbers,u1_struct_0(k15_euclid(np__2)),B,E) = k3_matrix_1(u1_struct_0(k15_euclid(np__2)),k3_goboard2(B),D,C) ) ) ) ) ).
%------------------------------------------------------------------------------