SET007 Axioms: SET007+452.ax
%------------------------------------------------------------------------------
% File : SET007+452 : TPTP v8.2.0. Released v3.4.0.
% Domain : Set Theory
% Axioms : The SCMFSA Computer
% Version : [Urb08] axioms.
% English :
% Refs : [Mat90] Matuszewski (1990), Formalized Mathematics
% : [Urb07] Urban (2007), MPTP 0.2: Design, Implementation, and In
% : [Urb08] Urban (2006), Email to G. Sutcliffe
% Source : [Urb08]
% Names : scmfsa_2 [Urb08]
% Status : Satisfiable
% Syntax : Number of formulae : 178 ( 26 unt; 0 def)
% Number of atoms : 736 ( 233 equ)
% Maximal formula atoms : 39 ( 4 avg)
% Number of connectives : 659 ( 101 ~; 0 |; 169 &)
% ( 12 <=>; 377 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 31 ( 29 usr; 1 prp; 0-3 aty)
% Number of functors : 107 ( 107 usr; 29 con; 0-8 aty)
% Number of variables : 387 ( 362 !; 25 ?)
% SPC :
% Comments : The individual reference can be found in [Mat90] by looking for
% the name provided by [Urb08].
% : Translated by MPTP from the Mizar Mathematical Library 4.48.930.
% : These set theory axioms are used in encodings of problems in
% various domains, including ALG, CAT, GRP, LAT, SET, and TOP.
%------------------------------------------------------------------------------
fof(fc1_scmfsa_2,axiom,
( ~ v3_struct_0(k1_scmfsa_2)
& v1_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& ~ v2_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))) ) ).
fof(fc2_scmfsa_2,axiom,
! [A] :
( m1_subset_1(A,u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( v4_ordinal2(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A))
& v1_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A))
& ~ v3_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A))
& v1_int_1(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A))
& v1_xcmplx_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A)) ) ) ).
fof(fc3_scmfsa_2,axiom,
( ~ v3_struct_0(k1_scmfsa_2)
& v1_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& ~ v2_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v5_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v6_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v7_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v8_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v10_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))) ) ).
fof(fc4_scmfsa_2,axiom,
( ~ v3_struct_0(k1_scmfsa_2)
& v1_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& ~ v2_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v4_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v5_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v6_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v7_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v8_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& v10_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))) ) ).
fof(t1_scmfsa_2,axiom,
$true ).
fof(t2_scmfsa_2,axiom,
$true ).
fof(t3_scmfsa_2,axiom,
! [A] :
( v1_setfam_1(A)
=> ! [B] :
( ( ~ v2_ami_1(B,A)
& l1_ami_1(B,A) )
=> ! [C] :
( m1_subset_1(C,k4_card_3(u5_ami_1(A,B)))
=> r1_tarski(u2_ami_1(A,B),k1_relat_1(C)) ) ) ) ).
fof(t4_scmfsa_2,axiom,
! [A] :
( v1_setfam_1(A)
=> ! [B] :
( ( ~ v3_struct_0(B)
& ~ v2_ami_1(B,A)
& v5_ami_1(B,A)
& l1_ami_1(B,A) )
=> ! [C] :
( m1_subset_1(C,k4_card_3(u5_ami_1(A,B)))
=> r2_hidden(k6_ami_1(A,B,C),k1_relat_1(C)) ) ) ) ).
fof(t5_scmfsa_2,axiom,
! [A] :
( v1_setfam_1(A)
=> ! [B] :
( ( ~ v3_struct_0(B)
& ~ v2_ami_1(B,A)
& l1_ami_1(B,A) )
=> ! [C] :
( m1_subset_1(C,k4_card_3(u5_ami_1(A,B)))
=> ! [D] :
( m1_struct_0(D,B,u2_ami_1(A,B))
=> r2_hidden(D,k1_relat_1(C)) ) ) ) ) ).
fof(d1_scmfsa_2,axiom,
k1_scmfsa_2 = g1_ami_1(k2_tarski(k4_numbers,k13_finseq_1(k4_numbers)),k4_numbers,k1_funct_7(np__0,k4_numbers),k3_scmfsa_1,k1_gr_cy_1(np__13),k4_scmfsa_1,k6_scmfsa_1,k20_scmfsa_1) ).
fof(t6_scmfsa_2,axiom,
( u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) != k4_numbers
& u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) != k4_numbers
& u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) != u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
& u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) != k3_finseq_2(k4_numbers)
& u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) != k3_finseq_2(k4_numbers) ) ).
fof(t7_scmfsa_2,axiom,
k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) = np__0 ).
fof(d2_scmfsa_2,axiom,
k2_scmfsa_2 = k1_scmfsa_1 ).
fof(d3_scmfsa_2,axiom,
k3_scmfsa_2 = k2_scmfsa_1 ).
fof(t8_scmfsa_2,axiom,
u1_struct_0(k1_scmfsa_2) = k4_subset_1(u1_struct_0(k1_scmfsa_2),k4_subset_1(u1_struct_0(k1_scmfsa_2),k4_subset_1(u1_struct_0(k1_scmfsa_2),k2_scmfsa_2,k3_scmfsa_2),k1_struct_0(k1_scmfsa_2,k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))),u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ).
fof(d4_scmfsa_2,axiom,
! [A] :
( m1_subset_1(A,u1_struct_0(k1_scmfsa_2))
=> ( m1_scmfsa_2(A)
<=> r2_hidden(A,k1_scmfsa_1) ) ) ).
fof(d5_scmfsa_2,axiom,
! [A] :
( m1_subset_1(A,u1_struct_0(k1_scmfsa_2))
=> ( m2_scmfsa_2(A)
<=> r2_hidden(A,k2_scmfsa_1) ) ) ).
fof(t9_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> r2_hidden(A,k2_scmfsa_2) ) ).
fof(t10_scmfsa_2,axiom,
! [A] :
( m2_scmfsa_2(A)
=> r2_hidden(A,k3_scmfsa_2) ) ).
fof(t11_scmfsa_2,axiom,
! [A] :
( r2_hidden(A,k2_scmfsa_2)
=> m1_scmfsa_2(A) ) ).
fof(t12_scmfsa_2,axiom,
! [A] :
( r2_hidden(A,k3_scmfsa_2)
=> m2_scmfsa_2(A) ) ).
fof(t13_scmfsa_2,axiom,
r1_xboole_0(k2_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ).
fof(t14_scmfsa_2,axiom,
r1_xboole_0(k3_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ).
fof(t15_scmfsa_2,axiom,
r1_xboole_0(k2_scmfsa_2,k3_scmfsa_2) ).
fof(d6_scmfsa_2,axiom,
! [A] :
( v4_ordinal2(A)
=> k4_scmfsa_2(A) = k15_ami_3(A) ) ).
fof(d7_scmfsa_2,axiom,
! [A] :
( v4_ordinal2(A)
=> k5_scmfsa_2(A) = k16_ami_3(A) ) ).
fof(d8_scmfsa_2,axiom,
! [A] :
( v4_ordinal2(A)
=> k6_scmfsa_2(A) = k4_xcmplx_0(k2_xcmplx_0(A,np__1)) ) ).
fof(t16_scmfsa_2,axiom,
! [A] :
( v4_ordinal2(A)
=> ! [B] :
( v4_ordinal2(B)
=> ~ ( A != B
& k4_scmfsa_2(A) = k4_scmfsa_2(B) ) ) ) ).
fof(t17_scmfsa_2,axiom,
! [A] :
( v4_ordinal2(A)
=> ! [B] :
( v4_ordinal2(B)
=> ~ ( A != B
& k6_scmfsa_2(A) = k6_scmfsa_2(B) ) ) ) ).
fof(t18_scmfsa_2,axiom,
! [A] :
( v4_ordinal2(A)
=> ! [B] :
( v4_ordinal2(B)
=> ~ ( A != B
& k5_scmfsa_2(A) = k5_scmfsa_2(B) ) ) ) ).
fof(t19_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ? [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
& A = k4_scmfsa_2(B) ) ) ).
fof(t20_scmfsa_2,axiom,
! [A] :
( m2_scmfsa_2(A)
=> ? [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
& A = k6_scmfsa_2(B) ) ) ).
fof(t21_scmfsa_2,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ? [B] :
( m2_subset_1(B,k1_numbers,k5_numbers)
& A = k5_scmfsa_2(B) ) ) ).
fof(t22_scmfsa_2,axiom,
~ v1_finset_1(k2_scmfsa_2) ).
fof(t23_scmfsa_2,axiom,
~ v1_finset_1(k3_scmfsa_2) ).
fof(t24_scmfsa_2,axiom,
~ v1_finset_1(u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ).
fof(t25_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> m1_ami_3(A) ) ).
fof(t26_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> k3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = k4_numbers ) ).
fof(t27_scmfsa_2,axiom,
! [A] :
( m2_scmfsa_2(A)
=> k3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = k3_finseq_2(k4_numbers) ) ).
fof(t28_scmfsa_2,axiom,
! [A] :
( r2_hidden(A,k1_scmfsa_1)
=> m1_scmfsa_2(A) ) ).
fof(t29_scmfsa_2,axiom,
! [A] :
( r2_hidden(A,k2_scmfsa_1)
=> m2_scmfsa_2(A) ) ).
fof(t30_scmfsa_2,axiom,
! [A] :
( r2_hidden(A,k3_scmfsa_1)
=> m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) ).
fof(d9_scmfsa_2,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [B] :
( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( B = k7_scmfsa_2(A)
<=> ? [C] :
( m2_subset_1(C,k4_numbers,k3_scmfsa_1)
& C = A
& B = k17_scmfsa_1(C) ) ) ) ) ).
fof(t31_scmfsa_2,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [B] :
( m2_subset_1(B,k4_numbers,k3_scmfsa_1)
=> ( B = A
=> k17_scmfsa_1(B) = k7_scmfsa_2(A) ) ) ) ).
fof(t32_scmfsa_2,axiom,
! [A] :
( v4_ordinal2(A)
=> k7_scmfsa_2(k5_scmfsa_2(A)) = k5_scmfsa_2(k2_xcmplx_0(A,np__1)) ) ).
fof(t33_scmfsa_2,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [B] :
( m1_struct_0(B,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
=> ( A = B
=> k7_scmfsa_2(A) = k11_ami_3(B) ) ) ) ).
fof(t34_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( r1_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A),np__8)
=> m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k1_tarski(k4_numbers),k1_ami_3),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),u1_struct_0(k1_ami_3)))),u4_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ).
fof(t35_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> r1_xreal_0(k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A),np__12) ) ).
fof(t36_scmfsa_2,axiom,
$true ).
fof(t37_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [B] :
( m2_subset_1(B,k2_zfmisc_1(u3_ami_1(k1_tarski(k4_numbers),k1_ami_3),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),u1_struct_0(k1_ami_3)))),u4_ami_1(k1_tarski(k4_numbers),k1_ami_3))
=> ( A = B
=> k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = k1_ami_5(k1_tarski(k4_numbers),k1_ami_3,B) ) ) ) ).
fof(t38_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k1_tarski(k4_numbers),k1_ami_3),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),u1_struct_0(k1_ami_3)))),u4_ami_1(k1_tarski(k4_numbers),k1_ami_3))
=> m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) ).
fof(d10_scmfsa_2,axiom,
$true ).
fof(d11_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( C = k8_scmfsa_2(A,B)
<=> ? [D] :
( m1_ami_3(D)
& ? [E] :
( m1_ami_3(E)
& A = D
& B = E
& C = k3_ami_3(D,E) ) ) ) ) ) ) ).
fof(d12_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( C = k9_scmfsa_2(A,B)
<=> ? [D] :
( m1_ami_3(D)
& ? [E] :
( m1_ami_3(E)
& A = D
& B = E
& C = k4_ami_3(D,E) ) ) ) ) ) ) ).
fof(d13_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( C = k10_scmfsa_2(A,B)
<=> ? [D] :
( m1_ami_3(D)
& ? [E] :
( m1_ami_3(E)
& A = D
& B = E
& C = k5_ami_3(D,E) ) ) ) ) ) ) ).
fof(d14_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( C = k11_scmfsa_2(A,B)
<=> ? [D] :
( m1_ami_3(D)
& ? [E] :
( m1_ami_3(E)
& A = D
& B = E
& C = k6_ami_3(D,E) ) ) ) ) ) ) ).
fof(d15_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( C = k12_scmfsa_2(A,B)
<=> ? [D] :
( m1_ami_3(D)
& ? [E] :
( m1_ami_3(E)
& A = D
& B = E
& C = k7_ami_3(D,E) ) ) ) ) ) ) ).
fof(t39_scmfsa_2,axiom,
u2_ami_1(k1_tarski(k4_numbers),k1_ami_3) = u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ).
fof(d16_scmfsa_2,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [B] :
( m2_subset_1(B,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( B = k13_scmfsa_2(A)
<=> ? [C] :
( m1_struct_0(C,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
& A = C
& B = k8_ami_3(C) ) ) ) ) ).
fof(d17_scmfsa_2,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( C = k14_scmfsa_2(A,B)
<=> ? [D] :
( m1_ami_3(D)
& ? [E] :
( m1_struct_0(E,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
& B = D
& A = E
& C = k9_ami_3(E,D) ) ) ) ) ) ) ).
fof(d18_scmfsa_2,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_subset_1(C,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( C = k15_scmfsa_2(A,B)
<=> ? [D] :
( m1_ami_3(D)
& ? [E] :
( m1_struct_0(E,k1_ami_3,u2_ami_1(k1_tarski(k4_numbers),k1_ami_3))
& B = D
& A = E
& C = k10_ami_3(E,D) ) ) ) ) ) ) ).
fof(d19_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_scmfsa_2(C)
=> k16_scmfsa_2(A,B,C) = k4_tarski(np__9,k3_finseq_4(u1_struct_0(k1_scmfsa_2),A,C,B)) ) ) ) ).
fof(d20_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_scmfsa_2(C)
=> k17_scmfsa_2(A,B,C) = k4_tarski(np__10,k3_finseq_4(u1_struct_0(k1_scmfsa_2),A,C,B)) ) ) ) ).
fof(d21_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m2_scmfsa_2(B)
=> k18_scmfsa_2(A,B) = k4_tarski(np__11,k2_finseq_4(u1_struct_0(k1_scmfsa_2),A,B)) ) ) ).
fof(d22_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m2_scmfsa_2(B)
=> k19_scmfsa_2(A,B) = k4_tarski(np__12,k2_finseq_4(u1_struct_0(k1_scmfsa_2),A,B)) ) ) ).
fof(t40_scmfsa_2,axiom,
$true ).
fof(t41_scmfsa_2,axiom,
$true ).
fof(t42_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B)) = np__1 ) ) ).
fof(t43_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B)) = np__2 ) ) ).
fof(t44_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B)) = np__3 ) ) ).
fof(t45_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B)) = np__4 ) ) ).
fof(t46_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B)) = np__5 ) ) ).
fof(t47_scmfsa_2,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k13_scmfsa_2(A)) = np__6 ) ).
fof(t48_scmfsa_2,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [B] :
( m1_scmfsa_2(B)
=> k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k14_scmfsa_2(A,B)) = np__7 ) ) ).
fof(t49_scmfsa_2,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [B] :
( m1_scmfsa_2(B)
=> k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k15_scmfsa_2(A,B)) = np__8 ) ) ).
fof(t50_scmfsa_2,axiom,
! [A] :
( m2_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_scmfsa_2(C)
=> k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(B,C,A)) = np__9 ) ) ) ).
fof(t51_scmfsa_2,axiom,
! [A] :
( m2_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_scmfsa_2(C)
=> k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(C,B,A)) = np__10 ) ) ) ).
fof(t52_scmfsa_2,axiom,
! [A] :
( m2_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(B,A)) = np__11 ) ) ).
fof(t53_scmfsa_2,axiom,
! [A] :
( m2_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(B,A)) = np__12 ) ) ).
fof(t54_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__1
& ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_scmfsa_2(C)
=> A != k8_scmfsa_2(B,C) ) ) ) ) ).
fof(t55_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__2
& ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_scmfsa_2(C)
=> A != k9_scmfsa_2(B,C) ) ) ) ) ).
fof(t56_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__3
& ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_scmfsa_2(C)
=> A != k10_scmfsa_2(B,C) ) ) ) ) ).
fof(t57_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__4
& ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_scmfsa_2(C)
=> A != k11_scmfsa_2(B,C) ) ) ) ) ).
fof(t58_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__5
& ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_scmfsa_2(C)
=> A != k12_scmfsa_2(B,C) ) ) ) ) ).
fof(t59_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__6
& ! [B] :
( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> A != k13_scmfsa_2(B) ) ) ) ).
fof(t60_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__7
& ! [B] :
( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [C] :
( m1_scmfsa_2(C)
=> A != k14_scmfsa_2(B,C) ) ) ) ) ).
fof(t61_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__8
& ! [B] :
( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [C] :
( m1_scmfsa_2(C)
=> A != k15_scmfsa_2(B,C) ) ) ) ) ).
fof(t62_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__9
& ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_scmfsa_2(C)
=> ! [D] :
( m2_scmfsa_2(D)
=> A != k16_scmfsa_2(C,B,D) ) ) ) ) ) ).
fof(t63_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__10
& ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_scmfsa_2(C)
=> ! [D] :
( m2_scmfsa_2(D)
=> A != k17_scmfsa_2(C,B,D) ) ) ) ) ) ).
fof(t64_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__11
& ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_scmfsa_2(C)
=> A != k18_scmfsa_2(B,C) ) ) ) ) ).
fof(t65_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ~ ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__12
& ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_scmfsa_2(C)
=> A != k19_scmfsa_2(B,C) ) ) ) ) ).
fof(t66_scmfsa_2,axiom,
! [A] :
( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ! [B] :
( m1_scmfsa_2(B)
=> r2_hidden(B,k1_relat_1(A)) ) ) ).
fof(t67_scmfsa_2,axiom,
! [A] :
( m2_scmfsa_2(A)
=> ! [B] :
( m1_subset_1(B,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> r2_hidden(A,k1_relat_1(B)) ) ) ).
fof(t68_scmfsa_2,axiom,
! [A] :
( m2_scmfsa_2(A)
=> ! [B] :
( m1_subset_1(B,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
=> ~ r2_hidden(A,k1_relat_1(B)) ) ) ).
fof(t69_scmfsa_2,axiom,
! [A] :
( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> r1_tarski(k2_scmfsa_2,k1_relat_1(A)) ) ).
fof(t70_scmfsa_2,axiom,
! [A] :
( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> r1_tarski(k3_scmfsa_2,k1_relat_1(A)) ) ).
fof(t71_scmfsa_2,axiom,
! [A] :
( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> k1_relat_1(k7_relat_1(A,k2_scmfsa_2)) = k2_scmfsa_2 ) ).
fof(t72_scmfsa_2,axiom,
! [A] :
( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> k1_relat_1(k7_relat_1(A,k3_scmfsa_2)) = k3_scmfsa_2 ) ).
fof(t73_scmfsa_2,axiom,
! [A] :
( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ! [B] :
( m2_subset_1(B,k2_zfmisc_1(u3_ami_1(k1_tarski(k4_numbers),k1_ami_3),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),u1_struct_0(k1_ami_3)))),u4_ami_1(k1_tarski(k4_numbers),k1_ami_3))
=> m1_subset_1(k1_funct_4(k7_relat_1(A,k5_numbers),k2_funcop_1(k3_ami_2,B)),k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3))) ) ) ).
fof(t74_scmfsa_2,axiom,
! [A] :
( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ! [B] :
( m1_subset_1(B,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
=> m1_subset_1(k1_funct_4(k1_funct_4(A,B),k7_relat_1(A,k3_scmfsa_1)),k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))) ) ) ).
fof(t75_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k1_tarski(k4_numbers),k1_ami_3),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),u1_struct_0(k1_ami_3)))),u4_ami_1(k1_tarski(k4_numbers),k1_ami_3))
=> ! [B] :
( m2_subset_1(B,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [C] :
( m1_subset_1(C,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
=> ! [D] :
( m1_subset_1(D,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ( ( A = B
& C = k1_funct_4(k7_relat_1(D,k5_numbers),k2_funcop_1(k3_ami_2,A)) )
=> k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B,D) = k1_funct_4(k1_funct_4(D,k4_ami_1(k1_tarski(k4_numbers),k1_ami_3,A,C)),k7_relat_1(D,k3_scmfsa_1)) ) ) ) ) ) ).
fof(t76_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k1_tarski(k4_numbers),k1_ami_3),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),u1_struct_0(k1_ami_3)))),u4_ami_1(k1_tarski(k4_numbers),k1_ami_3))
=> ! [B] :
( m1_subset_1(B,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
=> ! [C] :
( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ( B = k1_funct_4(k7_relat_1(C,k5_numbers),k2_funcop_1(k3_ami_2,A))
=> C = k1_funct_4(k1_funct_4(C,B),k7_relat_1(C,k3_scmfsa_1)) ) ) ) ) ).
fof(t77_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [B] :
( m1_subset_1(B,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ! [C] :
( m1_subset_1(C,k4_scmfsa_1)
=> ( C = A
=> ! [D] :
( m1_subset_1(D,k4_card_3(k6_scmfsa_1))
=> ( D = B
=> k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A,B) = k19_scmfsa_1(C,D) ) ) ) ) ) ) ).
fof(t78_scmfsa_2,axiom,
! [A] :
( m1_subset_1(A,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
=> ! [B] :
( m1_subset_1(B,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ! [C] :
( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ( B = k1_funct_4(k1_funct_4(C,A),k7_relat_1(C,k3_scmfsa_1))
=> k1_funct_1(B,k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k1_funct_1(A,k2_ami_1(k1_tarski(k4_numbers),k1_ami_3)) ) ) ) ) ).
fof(t79_scmfsa_2,axiom,
! [A] :
( m1_ami_3(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_subset_1(C,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
=> ! [D] :
( m1_subset_1(D,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ! [E] :
( m1_subset_1(E,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ( ( D = k1_funct_4(k1_funct_4(E,C),k7_relat_1(E,k3_scmfsa_1))
& A = B )
=> k2_ami_3(C,A) = k20_scmfsa_2(D,B) ) ) ) ) ) ) ).
fof(t80_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k1_tarski(k4_numbers),k1_ami_3),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),u1_struct_0(k1_ami_3)))),u4_ami_1(k1_tarski(k4_numbers),k1_ami_3))
=> ! [B] :
( m1_ami_3(B)
=> ! [C] :
( m1_scmfsa_2(C)
=> ! [D] :
( m1_subset_1(D,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
=> ! [E] :
( m1_subset_1(E,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ( ( D = k1_funct_4(k7_relat_1(E,k5_numbers),k2_funcop_1(k3_ami_2,A))
& B = C )
=> k2_ami_3(D,B) = k20_scmfsa_2(E,C) ) ) ) ) ) ) ).
fof(t81_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> A != k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ).
fof(t82_scmfsa_2,axiom,
! [A] :
( m2_scmfsa_2(A)
=> A != k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ).
fof(t83_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m2_scmfsa_2(B)
=> A != B ) ) ).
fof(t84_scmfsa_2,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [B] :
( m1_scmfsa_2(B)
=> A != B ) ) ).
fof(t85_scmfsa_2,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [B] :
( m2_scmfsa_2(B)
=> A != B ) ) ).
fof(t86_scmfsa_2,axiom,
! [A] :
( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ! [B] :
( m1_subset_1(B,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ( ( k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B)
& ! [C] :
( m1_scmfsa_2(C)
=> k20_scmfsa_2(A,C) = k20_scmfsa_2(B,C) )
& ! [C] :
( m2_scmfsa_2(C)
=> k21_scmfsa_2(A,C) = k21_scmfsa_2(B,C) )
& ! [C] :
( m1_struct_0(C,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> k13_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A,C) = k13_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B,C) ) )
=> A = B ) ) ) ).
fof(t87_scmfsa_2,axiom,
$true ).
fof(t88_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k1_tarski(k4_numbers),k1_ami_3),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),u1_struct_0(k1_ami_3)))),u4_ami_1(k1_tarski(k4_numbers),k1_ami_3))
=> ! [B] :
( m1_subset_1(B,k4_card_3(u5_ami_1(k1_tarski(k4_numbers),k1_ami_3)))
=> ! [C] :
( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ( B = k1_funct_4(k7_relat_1(C,k5_numbers),k2_funcop_1(k3_ami_2,A))
=> k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C) = k6_ami_1(k1_tarski(k4_numbers),k1_ami_3,B) ) ) ) ) ).
fof(t89_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ( k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B),C),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C))
& k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B),C),A) = k20_scmfsa_2(C,B)
& ! [D] :
( m1_scmfsa_2(D)
=> ( D != A
=> k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B),C),D) = k20_scmfsa_2(C,D) ) )
& ! [D] :
( m2_scmfsa_2(D)
=> k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k8_scmfsa_2(A,B),C),D) = k21_scmfsa_2(C,D) ) ) ) ) ) ).
fof(t90_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ( k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B),C),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C))
& k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B),C),A) = k2_xcmplx_0(k20_scmfsa_2(C,A),k20_scmfsa_2(C,B))
& ! [D] :
( m1_scmfsa_2(D)
=> ( D != A
=> k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B),C),D) = k20_scmfsa_2(C,D) ) )
& ! [D] :
( m2_scmfsa_2(D)
=> k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k9_scmfsa_2(A,B),C),D) = k21_scmfsa_2(C,D) ) ) ) ) ) ).
fof(t91_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ( k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B),C),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C))
& k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B),C),A) = k6_xcmplx_0(k20_scmfsa_2(C,A),k20_scmfsa_2(C,B))
& ! [D] :
( m1_scmfsa_2(D)
=> ( D != A
=> k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B),C),D) = k20_scmfsa_2(C,D) ) )
& ! [D] :
( m2_scmfsa_2(D)
=> k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k10_scmfsa_2(A,B),C),D) = k21_scmfsa_2(C,D) ) ) ) ) ) ).
fof(t92_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ( k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B),C),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C))
& k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B),C),A) = k3_xcmplx_0(k20_scmfsa_2(C,A),k20_scmfsa_2(C,B))
& ! [D] :
( m1_scmfsa_2(D)
=> ( D != A
=> k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B),C),D) = k20_scmfsa_2(C,D) ) )
& ! [D] :
( m2_scmfsa_2(D)
=> k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k11_scmfsa_2(A,B),C),D) = k21_scmfsa_2(C,D) ) ) ) ) ) ).
fof(t93_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ( k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B),C),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C))
& ( A != B
=> k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B),C),A) = k5_int_1(k20_scmfsa_2(C,A),k20_scmfsa_2(C,B)) )
& k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B),C),B) = k6_int_1(k20_scmfsa_2(C,A),k20_scmfsa_2(C,B))
& ! [D] :
( m1_scmfsa_2(D)
=> ~ ( D != A
& D != B
& k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B),C),D) != k20_scmfsa_2(C,D) ) )
& ! [D] :
( m2_scmfsa_2(D)
=> k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,B),C),D) = k21_scmfsa_2(C,D) ) ) ) ) ) ).
fof(t94_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_subset_1(B,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ( k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,A),B),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B))
& k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,A),B),A) = k6_int_1(k20_scmfsa_2(B,A),k20_scmfsa_2(B,A))
& ! [C] :
( m1_scmfsa_2(C)
=> ( C != A
=> k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,A),B),C) = k20_scmfsa_2(B,C) ) )
& ! [C] :
( m2_scmfsa_2(C)
=> k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k12_scmfsa_2(A,A),B),C) = k21_scmfsa_2(B,C) ) ) ) ) ).
fof(t95_scmfsa_2,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [B] :
( m1_subset_1(B,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ( k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k13_scmfsa_2(A),B),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = A
& ! [C] :
( m1_scmfsa_2(C)
=> k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k13_scmfsa_2(A),B),C) = k20_scmfsa_2(B,C) )
& ! [C] :
( m2_scmfsa_2(C)
=> k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k13_scmfsa_2(A),B),C) = k21_scmfsa_2(B,C) ) ) ) ) ).
fof(t96_scmfsa_2,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ( ( k20_scmfsa_2(C,B) = np__0
=> k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k14_scmfsa_2(A,B),C),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = A )
& ( k20_scmfsa_2(C,B) != np__0
=> k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k14_scmfsa_2(A,B),C),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C)) )
& ! [D] :
( m1_scmfsa_2(D)
=> k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k14_scmfsa_2(A,B),C),D) = k20_scmfsa_2(C,D) )
& ! [D] :
( m2_scmfsa_2(D)
=> k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k14_scmfsa_2(A,B),C),D) = k21_scmfsa_2(C,D) ) ) ) ) ) ).
fof(t97_scmfsa_2,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ( ( ~ r1_xreal_0(k20_scmfsa_2(C,B),np__0)
=> k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k15_scmfsa_2(A,B),C),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = A )
& ( r1_xreal_0(k20_scmfsa_2(C,B),np__0)
=> k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k15_scmfsa_2(A,B),C),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C)) )
& ! [D] :
( m1_scmfsa_2(D)
=> k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k15_scmfsa_2(A,B),C),D) = k20_scmfsa_2(C,D) )
& ! [D] :
( m2_scmfsa_2(D)
=> k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k15_scmfsa_2(A,B),C),D) = k21_scmfsa_2(C,D) ) ) ) ) ) ).
fof(t98_scmfsa_2,axiom,
! [A] :
( m2_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_scmfsa_2(C)
=> ! [D] :
( m1_subset_1(D,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ( k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(B,C,A),D),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,D))
& ? [E] :
( m2_subset_1(E,k1_numbers,k5_numbers)
& E = k1_int_2(k20_scmfsa_2(D,C))
& k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(B,C,A),D),B) = k4_finseq_4(k5_numbers,k4_numbers,k21_scmfsa_2(D,A),E) )
& ! [E] :
( m1_scmfsa_2(E)
=> ( E != B
=> k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(B,C,A),D),E) = k20_scmfsa_2(D,E) ) )
& ! [E] :
( m2_scmfsa_2(E)
=> k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k16_scmfsa_2(B,C,A),D),E) = k21_scmfsa_2(D,E) ) ) ) ) ) ) ).
fof(t99_scmfsa_2,axiom,
! [A] :
( m2_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_scmfsa_2(C)
=> ! [D] :
( m1_subset_1(D,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ( k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(C,B,A),D),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,D))
& ? [E] :
( m2_subset_1(E,k1_numbers,k5_numbers)
& E = k1_int_2(k20_scmfsa_2(D,B))
& k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(C,B,A),D),A) = k2_funct_7(k21_scmfsa_2(D,A),E,k20_scmfsa_2(D,C)) )
& ! [E] :
( m1_scmfsa_2(E)
=> k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(C,B,A),D),E) = k20_scmfsa_2(D,E) )
& ! [E] :
( m2_scmfsa_2(E)
=> ( E != A
=> k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k17_scmfsa_2(C,B,A),D),E) = k21_scmfsa_2(D,E) ) ) ) ) ) ) ) ).
fof(t100_scmfsa_2,axiom,
! [A] :
( m2_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ( k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(B,A),C),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C))
& k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(B,A),C),B) = k3_finseq_1(k21_scmfsa_2(C,A))
& ! [D] :
( m1_scmfsa_2(D)
=> ( D != B
=> k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(B,A),C),D) = k20_scmfsa_2(C,D) ) )
& ! [D] :
( m2_scmfsa_2(D)
=> k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k18_scmfsa_2(B,A),C),D) = k21_scmfsa_2(C,D) ) ) ) ) ) ).
fof(t101_scmfsa_2,axiom,
! [A] :
( m2_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_subset_1(C,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ( k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(B,A),C),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,C))
& ? [D] :
( m2_subset_1(D,k1_numbers,k5_numbers)
& D = k1_int_2(k20_scmfsa_2(C,B))
& k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(B,A),C),A) = k2_finseq_2(D,np__0) )
& ! [D] :
( m1_scmfsa_2(D)
=> k20_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(B,A),C),D) = k20_scmfsa_2(C,D) )
& ! [D] :
( m2_scmfsa_2(D)
=> ( D != A
=> k21_scmfsa_2(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k19_scmfsa_2(B,A),C),D) = k21_scmfsa_2(C,D) ) ) ) ) ) ) ).
fof(t102_scmfsa_2,axiom,
! [A] :
( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
=> ! [B] :
( m1_subset_1(B,k4_card_3(k6_scmfsa_1))
=> ( B = A
=> k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = k18_scmfsa_1(B) ) ) ) ).
fof(t103_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k1_tarski(k4_numbers),k1_ami_3),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),u1_struct_0(k1_ami_3)))),u4_ami_1(k1_tarski(k4_numbers),k1_ami_3))
=> ! [B] :
( m2_subset_1(B,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( ( A = B
& v3_ami_1(A,k1_tarski(k4_numbers),k1_ami_3) )
=> v3_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ) ).
fof(t104_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ~ ( ? [B] :
( m1_subset_1(B,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
& k1_funct_1(k4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A,B),k2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = k7_scmfsa_2(k6_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,B)) )
& v3_ami_1(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(t105_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ~ v3_ami_1(k8_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(t106_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ~ v3_ami_1(k9_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(t107_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ~ v3_ami_1(k10_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(t108_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ~ v3_ami_1(k11_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(t109_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ~ v3_ami_1(k12_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(t110_scmfsa_2,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ~ v3_ami_1(k13_scmfsa_2(A),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ).
fof(t111_scmfsa_2,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [B] :
( m1_scmfsa_2(B)
=> ~ v3_ami_1(k14_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(t112_scmfsa_2,axiom,
! [A] :
( m1_struct_0(A,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [B] :
( m1_scmfsa_2(B)
=> ~ v3_ami_1(k15_scmfsa_2(A,B),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(t113_scmfsa_2,axiom,
! [A] :
( m2_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_scmfsa_2(C)
=> ~ v3_ami_1(k16_scmfsa_2(B,C,A),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ) ).
fof(t114_scmfsa_2,axiom,
! [A] :
( m2_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_scmfsa_2(C)
=> ~ v3_ami_1(k17_scmfsa_2(C,B,A),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ) ).
fof(t115_scmfsa_2,axiom,
! [A] :
( m2_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ~ v3_ami_1(k18_scmfsa_2(B,A),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(t116_scmfsa_2,axiom,
! [A] :
( m2_scmfsa_2(A)
=> ! [B] :
( m1_scmfsa_2(B)
=> ~ v3_ami_1(k19_scmfsa_2(B,A),k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(t117_scmfsa_2,axiom,
m2_subset_1(k4_tarski(np__0,k1_xboole_0),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ).
fof(t118_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( A = k4_tarski(np__0,k1_xboole_0)
=> v3_ami_1(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(t119_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__0
=> A = k4_tarski(np__0,k1_xboole_0) ) ) ).
fof(t120_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
<=> ~ ( A != k4_tarski(np__0,k1_xboole_0)
& ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_scmfsa_2(C)
=> A != k8_scmfsa_2(B,C) ) )
& ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_scmfsa_2(C)
=> A != k9_scmfsa_2(B,C) ) )
& ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_scmfsa_2(C)
=> A != k10_scmfsa_2(B,C) ) )
& ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_scmfsa_2(C)
=> A != k11_scmfsa_2(B,C) ) )
& ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_scmfsa_2(C)
=> A != k12_scmfsa_2(B,C) ) )
& ! [B] :
( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> A != k13_scmfsa_2(B) )
& ! [B] :
( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [C] :
( m1_scmfsa_2(C)
=> A != k14_scmfsa_2(B,C) ) )
& ! [B] :
( m1_struct_0(B,k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ! [C] :
( m1_scmfsa_2(C)
=> A != k15_scmfsa_2(B,C) ) )
& ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_scmfsa_2(C)
=> ! [D] :
( m2_scmfsa_2(D)
=> A != k16_scmfsa_2(C,B,D) ) ) )
& ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m1_scmfsa_2(C)
=> ! [D] :
( m2_scmfsa_2(D)
=> A != k17_scmfsa_2(C,B,D) ) ) )
& ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_scmfsa_2(C)
=> A != k18_scmfsa_2(B,C) ) )
& ! [B] :
( m1_scmfsa_2(B)
=> ! [C] :
( m2_scmfsa_2(C)
=> A != k19_scmfsa_2(B,C) ) ) ) ) ).
fof(t121_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( v3_ami_1(A,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)
=> A = k5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(t122_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ( k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,A) = np__0
=> A = k5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ).
fof(t123_scmfsa_2,axiom,
k5_ami_1(k1_tarski(k4_numbers),k1_ami_3) = k5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ).
fof(t124_scmfsa_2,axiom,
k1_ami_5(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2,k5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) = np__0 ).
fof(t125_scmfsa_2,axiom,
! [A] :
( m2_subset_1(A,k2_zfmisc_1(u3_ami_1(k1_tarski(k4_numbers),k1_ami_3),k13_finseq_1(k2_xboole_0(k3_tarski(k1_tarski(k4_numbers)),u1_struct_0(k1_ami_3)))),u4_ami_1(k1_tarski(k4_numbers),k1_ami_3))
=> ! [B] :
( m2_subset_1(B,k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> ~ ( A = B
& ~ v3_ami_1(A,k1_tarski(k4_numbers),k1_ami_3)
& v3_ami_1(B,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2) ) ) ) ).
fof(dt_m1_scmfsa_2,axiom,
! [A] :
( m1_scmfsa_2(A)
=> m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) ).
fof(existence_m1_scmfsa_2,axiom,
? [A] : m1_scmfsa_2(A) ).
fof(dt_m2_scmfsa_2,axiom,
! [A] :
( m2_scmfsa_2(A)
=> m1_subset_1(A,u1_struct_0(k1_scmfsa_2)) ) ).
fof(existence_m2_scmfsa_2,axiom,
? [A] : m2_scmfsa_2(A) ).
fof(dt_k1_scmfsa_2,axiom,
( v1_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)))
& l1_ami_1(k1_scmfsa_2,k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))) ) ).
fof(dt_k2_scmfsa_2,axiom,
m1_subset_1(k2_scmfsa_2,k1_zfmisc_1(u1_struct_0(k1_scmfsa_2))) ).
fof(dt_k3_scmfsa_2,axiom,
m1_subset_1(k3_scmfsa_2,k1_zfmisc_1(u1_struct_0(k1_scmfsa_2))) ).
fof(dt_k4_scmfsa_2,axiom,
! [A] :
( v4_ordinal2(A)
=> m1_scmfsa_2(k4_scmfsa_2(A)) ) ).
fof(dt_k5_scmfsa_2,axiom,
! [A] :
( v4_ordinal2(A)
=> m1_struct_0(k5_scmfsa_2(A),k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) ).
fof(dt_k6_scmfsa_2,axiom,
! [A] :
( v4_ordinal2(A)
=> m2_scmfsa_2(k6_scmfsa_2(A)) ) ).
fof(dt_k7_scmfsa_2,axiom,
! [A] :
( m1_subset_1(A,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> m1_struct_0(k7_scmfsa_2(A),k1_scmfsa_2,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) ).
fof(dt_k8_scmfsa_2,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B) )
=> m2_subset_1(k8_scmfsa_2(A,B),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) ).
fof(dt_k9_scmfsa_2,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B) )
=> m2_subset_1(k9_scmfsa_2(A,B),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) ).
fof(dt_k10_scmfsa_2,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B) )
=> m2_subset_1(k10_scmfsa_2(A,B),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) ).
fof(dt_k11_scmfsa_2,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B) )
=> m2_subset_1(k11_scmfsa_2(A,B),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) ).
fof(dt_k12_scmfsa_2,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B) )
=> m2_subset_1(k12_scmfsa_2(A,B),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) ).
fof(dt_k13_scmfsa_2,axiom,
! [A] :
( m1_subset_1(A,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
=> m2_subset_1(k13_scmfsa_2(A),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) ).
fof(dt_k14_scmfsa_2,axiom,
! [A,B] :
( ( m1_subset_1(A,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
& m1_scmfsa_2(B) )
=> m2_subset_1(k14_scmfsa_2(A,B),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) ).
fof(dt_k15_scmfsa_2,axiom,
! [A,B] :
( ( m1_subset_1(A,u2_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2))
& m1_scmfsa_2(B) )
=> m2_subset_1(k15_scmfsa_2(A,B),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) ).
fof(dt_k16_scmfsa_2,axiom,
! [A,B,C] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B)
& m2_scmfsa_2(C) )
=> m2_subset_1(k16_scmfsa_2(A,B,C),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) ).
fof(dt_k17_scmfsa_2,axiom,
! [A,B,C] :
( ( m1_scmfsa_2(A)
& m1_scmfsa_2(B)
& m2_scmfsa_2(C) )
=> m2_subset_1(k17_scmfsa_2(A,B,C),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) ).
fof(dt_k18_scmfsa_2,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m2_scmfsa_2(B) )
=> m2_subset_1(k18_scmfsa_2(A,B),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) ).
fof(dt_k19_scmfsa_2,axiom,
! [A,B] :
( ( m1_scmfsa_2(A)
& m2_scmfsa_2(B) )
=> m2_subset_1(k19_scmfsa_2(A,B),k2_zfmisc_1(u3_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2),k13_finseq_1(k2_xboole_0(k3_tarski(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers))),u1_struct_0(k1_scmfsa_2)))),u4_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)) ) ).
fof(dt_k20_scmfsa_2,axiom,
! [A,B] :
( ( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
& m1_scmfsa_2(B) )
=> v1_int_1(k20_scmfsa_2(A,B)) ) ).
fof(redefinition_k20_scmfsa_2,axiom,
! [A,B] :
( ( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
& m1_scmfsa_2(B) )
=> k20_scmfsa_2(A,B) = k1_funct_1(A,B) ) ).
fof(dt_k21_scmfsa_2,axiom,
! [A,B] :
( ( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
& m2_scmfsa_2(B) )
=> m2_finseq_1(k21_scmfsa_2(A,B),k4_numbers) ) ).
fof(redefinition_k21_scmfsa_2,axiom,
! [A,B] :
( ( m1_subset_1(A,k4_card_3(u5_ami_1(k2_tarski(k4_numbers,k3_finseq_2(k4_numbers)),k1_scmfsa_2)))
& m2_scmfsa_2(B) )
=> k21_scmfsa_2(A,B) = k1_funct_1(A,B) ) ).
%------------------------------------------------------------------------------