SET007 Axioms: SET007+686.ax
%------------------------------------------------------------------------------
% File : SET007+686 : TPTP v8.2.0. Released v3.4.0.
% Domain : Set Theory
% Axioms : Circuit Generated by Terms and Circuit Calculating Terms
% 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 : circtrm1 [Urb08]
% Status : Satisfiable
% Syntax : Number of formulae : 112 ( 2 unt; 0 def)
% Number of atoms : 1586 ( 83 equ)
% Maximal formula atoms : 26 ( 14 avg)
% Number of connectives : 1797 ( 323 ~; 0 |; 857 &)
% ( 25 <=>; 592 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 14 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 56 ( 54 usr; 1 prp; 0-8 aty)
% Number of functors : 69 ( 69 usr; 7 con; 0-5 aty)
% Number of variables : 617 ( 600 !; 17 ?)
% 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_circtrm1,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A)
& v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A))
& ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
=> ( ~ v3_struct_0(k1_circtrm1(A,B,C))
& v1_msualg_1(k1_circtrm1(A,B,C))
& v2_msafree2(k1_circtrm1(A,B,C))
& v1_circcomb(k1_circtrm1(A,B,C))
& v1_instalg1(k1_circtrm1(A,B,C)) ) ) ).
fof(fc2_circtrm1,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A)
& v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A))
& m3_msaterm(C,A,B) )
=> ( ~ v3_struct_0(k1_circtrm1(A,B,C))
& v1_msualg_1(k1_circtrm1(A,B,C))
& ~ v2_msualg_1(k1_circtrm1(A,B,C))
& v2_msafree2(k1_circtrm1(A,B,C))
& v1_circcomb(k1_circtrm1(A,B,C))
& v1_instalg1(k1_circtrm1(A,B,C)) ) ) ).
fof(fc3_circtrm1,axiom,
! [A,B,C,D] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A)
& v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A))
& m3_msaterm(C,A,B)
& m1_subset_1(D,u1_msualg_1(k1_circtrm1(A,B,C))) )
=> ( v1_relat_1(k1_msualg_1(k1_circtrm1(A,B,C),D))
& v1_funct_1(k1_msualg_1(k1_circtrm1(A,B,C),D))
& v1_finset_1(k1_msualg_1(k1_circtrm1(A,B,C),D))
& v1_finseq_1(k1_msualg_1(k1_circtrm1(A,B,C),D))
& v6_trees_3(k1_msualg_1(k1_circtrm1(A,B,C),D)) ) ) ).
fof(cc1_circtrm1,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A)
& v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A))
& ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(k1_circtrm1(A,B,C)))
=> ( v1_relat_1(D)
& v1_funct_1(D)
& v1_finset_1(D) ) ) ) ).
fof(cc2_circtrm1,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A)
& v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A))
& ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(k1_circtrm1(A,B,C)))
=> ( v1_relat_1(D)
& v1_funct_1(D)
& v1_finset_1(D)
& v3_trees_2(D)
& v3_trees_9(D)
& v4_trees_9(D) ) ) ) ).
fof(cc3_circtrm1,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A)
& v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A))
& m3_msaterm(C,A,B) )
=> ! [D] :
( m1_subset_1(D,u1_msualg_1(k1_circtrm1(A,B,C)))
=> ( v1_relat_1(D)
& v1_funct_1(D)
& v1_finset_1(D) ) ) ) ).
fof(cc4_circtrm1,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A)
& v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A))
& m3_msaterm(C,A,B) )
=> ! [D] :
( m1_subset_1(D,u1_msualg_1(k1_circtrm1(A,B,C)))
=> ( v1_relat_1(D)
& v1_funct_1(D)
& v1_finset_1(D)
& v3_trees_2(D)
& v3_trees_9(D)
& v4_trees_9(D) ) ) ) ).
fof(fc4_circtrm1,axiom,
! [A,B] :
( ( v3_trees_3(A)
& v3_trees_3(B) )
=> v3_trees_3(k2_xboole_0(A,B)) ) ).
fof(fc5_circtrm1,axiom,
! [A,B,C,D,E] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A)
& v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A))
& ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B)))
& m1_subset_1(D,u1_struct_0(k1_circtrm1(A,B,C)))
& v5_msualg_1(E,A)
& l3_msualg_1(E,A) )
=> ~ v1_xboole_0(k2_circtrm1(A,B,C,D,E)) ) ).
fof(fc6_circtrm1,axiom,
! [A,B,C,D] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A)
& v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A))
& ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B)))
& v5_msualg_1(D,A)
& l3_msualg_1(D,A) )
=> ( v1_relat_1(k4_circtrm1(A,B,C,D))
& v2_relat_1(k4_circtrm1(A,B,C,D))
& ~ v3_relat_1(k4_circtrm1(A,B,C,D))
& v1_funct_1(k4_circtrm1(A,B,C,D)) ) ) ).
fof(fc7_circtrm1,axiom,
! [A,B,C,D] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A)
& v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A))
& m3_msaterm(C,A,B)
& v5_msualg_1(D,A)
& v4_msafree2(D,A)
& l3_msualg_1(D,A) )
=> ( v4_msualg_1(k6_circtrm1(A,B,C,D),k1_circtrm1(A,B,C))
& v5_msualg_1(k6_circtrm1(A,B,C,D),k1_circtrm1(A,B,C))
& v4_msafree2(k6_circtrm1(A,B,C,D),k1_circtrm1(A,B,C)) ) ) ).
fof(fc8_circtrm1,axiom,
! [A,B,C,D] :
( ( ~ v3_struct_0(B)
& ~ v2_msualg_1(B)
& l1_msualg_1(B)
& v2_relat_1(C)
& m1_pboole(C,u1_struct_0(B))
& m1_finseq_1(D,k1_msaterm(B,C)) )
=> ( v1_relat_1(k4_trees_4(A,D))
& v1_funct_1(k4_trees_4(A,D))
& v1_finset_1(k4_trees_4(A,D))
& v3_trees_2(k4_trees_4(A,D))
& v3_trees_9(k4_trees_4(A,D))
& v4_trees_9(k4_trees_4(A,D)) ) ) ).
fof(fc9_circtrm1,axiom,
! [A] :
( v1_relat_1(k6_relat_1(A))
& v1_funct_1(k6_relat_1(A))
& v2_funct_1(k6_relat_1(A)) ) ).
fof(fc10_circtrm1,axiom,
! [A] :
( ( v1_relat_1(A)
& v1_funct_1(A)
& v2_funct_1(A) )
=> ( v1_relat_1(k2_funct_1(A))
& v1_funct_1(k2_funct_1(A))
& v2_funct_1(k2_funct_1(A)) ) ) ).
fof(fc11_circtrm1,axiom,
! [A,B] :
( ( v1_relat_1(A)
& v1_funct_1(A)
& v2_funct_1(A)
& v1_relat_1(B)
& v1_funct_1(B)
& v2_funct_1(B) )
=> ( v1_relat_1(k5_relat_1(A,B))
& v1_funct_1(k5_relat_1(A,B))
& v2_funct_1(k5_relat_1(A,B)) ) ) ).
fof(t1_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v5_msualg_1(B,A)
& l3_msualg_1(B,A) )
=> ! [C] :
( m4_msaterm(C,A,B)
=> ! [D] :
( m1_dtconstr(D,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C))
=> ! [E] :
( m1_dtconstr(E,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u4_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u4_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u4_msualg_1(A,B),C)))
=> ( E = D
=> k7_msaterm(A,k2_pboole(u1_struct_0(A),u4_msualg_1(A,B),C),E) = k7_msaterm(A,C,D) ) ) ) ) ) ) ).
fof(d1_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( ( ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
=> k1_circtrm1(A,B,C) = g1_msualg_1(k9_trees_9(C),k12_trees_9(C,k2_zfmisc_1(u1_msualg_1(A),k1_tarski(u1_struct_0(A)))),k13_trees_9(C,k2_zfmisc_1(u1_msualg_1(A),k1_tarski(u1_struct_0(A)))),k6_funct_3(k9_trees_9(C),k12_trees_9(C,k2_zfmisc_1(u1_msualg_1(A),k1_tarski(u1_struct_0(A)))))) ) ) ) ).
fof(t2_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( ( ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
=> ( v2_msualg_1(k1_circtrm1(A,B,C))
<=> ! [D] :
( m3_trees_3(D,C)
=> ( v1_trees_9(D)
& ~ r2_hidden(k1_funct_1(D,k1_xboole_0),k2_zfmisc_1(u1_msualg_1(A),k1_tarski(u1_struct_0(A)))) ) ) ) ) ) ) ).
fof(t3_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( ( ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
=> ( m3_msaterm(C,A,B)
<=> ~ v2_msualg_1(k1_circtrm1(A,B,C)) ) ) ) ) ).
fof(t4_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( ( ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
=> ( ! [D] :
( m1_subset_1(D,u1_struct_0(k1_circtrm1(A,B,C)))
=> m1_dtconstr(D,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B)) )
& ! [D] :
( r2_hidden(D,u1_msualg_1(k1_circtrm1(A,B,C)))
=> m2_msaterm(D,A,B) ) ) ) ) ) ).
fof(t5_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( ( ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(k1_circtrm1(A,B,C)))
=> ( r2_hidden(D,u1_msualg_1(k1_circtrm1(A,B,C)))
<=> m2_msaterm(D,A,B) ) ) ) ) ) ).
fof(t6_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( m3_msaterm(C,A,B)
=> ! [D] :
( m1_subset_1(D,u1_msualg_1(k1_circtrm1(A,B,C)))
=> ( k8_funct_2(u1_msualg_1(k1_circtrm1(A,B,C)),u1_struct_0(k1_circtrm1(A,B,C)),u3_msualg_1(k1_circtrm1(A,B,C)),D) = D
& k2_msualg_1(k1_circtrm1(A,B,C),D) = D ) ) ) ) ) ).
fof(t7_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( ( ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
=> ! [D] :
( ( ~ v1_xboole_0(D)
& m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B))) )
=> ( r1_partfun1(u2_msualg_1(k1_circtrm1(A,B,C)),u2_msualg_1(k1_circtrm1(A,B,D)))
& r1_partfun1(u3_msualg_1(k1_circtrm1(A,B,C)),u3_msualg_1(k1_circtrm1(A,B,D))) ) ) ) ) ) ).
fof(t8_circtrm1,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v3_trees_3(A) )
=> ! [B] :
( ( ~ v1_xboole_0(B)
& v3_trees_3(B) )
=> k9_trees_9(k2_xboole_0(A,B)) = k2_xboole_0(k9_trees_9(A),k9_trees_9(B)) ) ) ).
fof(t9_circtrm1,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v3_trees_3(A) )
=> ! [B] :
( ( ~ v1_xboole_0(B)
& v3_trees_3(B) )
=> ! [C] : k12_trees_9(k2_xboole_0(A,B),C) = k2_xboole_0(k12_trees_9(A,C),k12_trees_9(B,C)) ) ) ).
fof(t10_circtrm1,axiom,
! [A] :
( ( ~ v1_xboole_0(A)
& v3_trees_3(A) )
=> ! [B] :
( ( ~ v1_xboole_0(B)
& v3_trees_3(B) )
=> ( ( ! [C] :
( m3_trees_3(C,A)
=> v1_finset_1(C) )
& ! [C] :
( m3_trees_3(C,B)
=> v1_finset_1(C) ) )
=> ! [C] : k13_trees_9(k2_xboole_0(A,B),C) = k1_funct_4(k13_trees_9(A,C),k13_trees_9(B,C)) ) ) ) ).
fof(t11_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( ( ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
=> ! [D] :
( ( ~ v1_xboole_0(D)
& m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B))) )
=> k1_circtrm1(A,B,k4_subset_1(k1_msaterm(A,B),C,D)) = k3_circcomb(k1_circtrm1(A,B,C),k1_circtrm1(A,B,D)) ) ) ) ) ).
fof(t12_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( ( ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
=> ! [D] :
( r2_hidden(D,k2_msafree2(k1_circtrm1(A,B,C)))
<=> ( r2_hidden(D,k9_trees_9(C))
& ? [E] :
( m1_subset_1(E,u1_struct_0(A))
& ? [F] :
( m1_subset_1(F,k1_funct_1(B,E))
& D = k1_trees_4(k4_tarski(F,E)) ) ) ) ) ) ) ) ).
fof(t13_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( m3_msaterm(C,A,B)
=> ! [D] :
( m1_subset_1(D,u1_msualg_1(k1_circtrm1(A,B,C)))
=> D = k4_trees_4(k1_funct_1(D,k1_xboole_0),k1_msualg_1(k1_circtrm1(A,B,C),D)) ) ) ) ) ).
fof(d2_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( ( ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
=> ! [D] :
( m1_subset_1(D,u1_struct_0(k1_circtrm1(A,B,C)))
=> ! [E] :
( l3_msualg_1(E,A)
=> ! [F] :
( F = k2_circtrm1(A,B,C,D,E)
<=> ! [G] :
( m1_dtconstr(G,u1_struct_0(k5_msafree(A,B)),k5_trees_3(u1_struct_0(k5_msafree(A,B))),k1_msaterm(A,B))
=> ( G = D
=> F = k1_funct_1(u4_msualg_1(A,E),k7_msaterm(A,B,G)) ) ) ) ) ) ) ) ) ).
fof(d3_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( ( ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
=> ( m3_msaterm(C,A,B)
=> ! [D] :
( m1_subset_1(D,u1_msualg_1(k1_circtrm1(A,B,C)))
=> ! [E] :
( l3_msualg_1(E,A)
=> ! [F] :
( ( v1_relat_1(F)
& v1_funct_1(F) )
=> ( F = k3_circtrm1(A,B,C,D,E)
<=> ! [G] :
( m3_msaterm(G,A,B)
=> ( G = C
=> ! [H] :
( m1_subset_1(H,u1_msualg_1(k1_circtrm1(A,B,G)))
=> ( H = D
=> F = k1_funct_1(u5_msualg_1(A,E),k1_mcart_1(k1_funct_1(H,k1_xboole_0))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( ( ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
=> ! [D] :
( l3_msualg_1(D,A)
=> ! [E] :
( m1_pboole(E,u1_struct_0(k1_circtrm1(A,B,C)))
=> ( E = k4_circtrm1(A,B,C,D)
<=> ! [F] :
( m1_subset_1(F,u1_struct_0(k1_circtrm1(A,B,C)))
=> k1_funct_1(E,F) = k2_circtrm1(A,B,C,F,D) ) ) ) ) ) ) ) ).
fof(t14_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( ( v5_msualg_1(C,A)
& l3_msualg_1(C,A) )
=> ! [D] :
( m3_msaterm(D,A,B)
=> ! [E] :
( m1_subset_1(E,u1_msualg_1(k1_circtrm1(A,B,D)))
=> ! [F] :
( m1_subset_1(F,u1_msualg_1(A))
=> ( k1_funct_1(E,k1_xboole_0) = k4_tarski(F,u1_struct_0(A))
=> k5_relat_1(k1_msualg_1(k1_circtrm1(A,B,D),E),k4_circtrm1(A,B,D,C)) = k5_relat_1(k1_msualg_1(A,F),u4_msualg_1(A,C)) ) ) ) ) ) ) ) ).
fof(d5_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( ( ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
=> ! [D] :
( ( v5_msualg_1(D,A)
& l3_msualg_1(D,A) )
=> ! [E] :
( m3_pboole(E,u1_msualg_1(k1_circtrm1(A,B,C)),k8_pboole(u1_msualg_1(k1_circtrm1(A,B,C)),k3_finseq_2(u1_struct_0(k1_circtrm1(A,B,C))),u2_msualg_1(k1_circtrm1(A,B,C)),k6_pboole(u1_struct_0(k1_circtrm1(A,B,C)),k4_circtrm1(A,B,C,D))),k8_pboole(u1_msualg_1(k1_circtrm1(A,B,C)),u1_struct_0(k1_circtrm1(A,B,C)),u3_msualg_1(k1_circtrm1(A,B,C)),k4_circtrm1(A,B,C,D)))
=> ( E = k5_circtrm1(A,B,C,D)
<=> ! [F] :
( m1_subset_1(F,u1_msualg_1(k1_circtrm1(A,B,C)))
=> ( r2_hidden(F,u1_msualg_1(k1_circtrm1(A,B,C)))
=> k1_funct_1(E,F) = k3_circtrm1(A,B,C,F,D) ) ) ) ) ) ) ) ) ).
fof(d6_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( ( ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
=> ! [D] :
( ( v5_msualg_1(D,A)
& l3_msualg_1(D,A) )
=> k6_circtrm1(A,B,C,D) = g3_msualg_1(k1_circtrm1(A,B,C),k4_circtrm1(A,B,C,D),k5_circtrm1(A,B,C,D)) ) ) ) ) ).
fof(t15_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( ( v5_msualg_1(C,A)
& l3_msualg_1(C,A) )
=> ! [D] :
( ( ~ v1_xboole_0(D)
& m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B))) )
=> ! [E] :
( m1_subset_1(E,u1_struct_0(k1_circtrm1(A,B,D)))
=> k1_funct_1(u4_msualg_1(k1_circtrm1(A,B,D),k6_circtrm1(A,B,D,C)),E) = k2_circtrm1(A,B,D,E,C) ) ) ) ) ) ).
fof(t16_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( ( v5_msualg_1(C,A)
& v4_msafree2(C,A)
& l3_msualg_1(C,A) )
=> ! [D] :
( m3_msaterm(D,A,B)
=> ! [E] :
( m1_subset_1(E,u1_msualg_1(k1_circtrm1(A,B,D)))
=> k5_msualg_1(k1_circtrm1(A,B,D),E,k6_circtrm1(A,B,D,C)) = k3_circtrm1(A,B,D,E,C) ) ) ) ) ) ).
fof(t17_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( ( v5_msualg_1(C,A)
& v4_msafree2(C,A)
& l3_msualg_1(C,A) )
=> ! [D] :
( m3_msaterm(D,A,B)
=> ! [E] :
( m1_subset_1(E,u1_msualg_1(k1_circtrm1(A,B,D)))
=> ! [F] :
( m1_subset_1(F,u1_msualg_1(A))
=> ( k1_funct_1(E,k1_xboole_0) = k4_tarski(F,u1_struct_0(A))
=> k5_msualg_1(k1_circtrm1(A,B,D),E,k6_circtrm1(A,B,D,C)) = k5_msualg_1(A,F,C) ) ) ) ) ) ) ) ).
fof(t18_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( ( v5_msualg_1(C,A)
& v4_msafree2(C,A)
& l3_msualg_1(C,A) )
=> ! [D] :
( ( ~ v1_xboole_0(D)
& m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B))) )
=> v4_msafree2(k6_circtrm1(A,B,D,C),k1_circtrm1(A,B,D)) ) ) ) ) ).
fof(t19_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( m3_msaterm(C,A,B)
=> ! [D] :
( m3_msaterm(D,A,B)
=> ! [E] :
( ( v5_msualg_1(E,A)
& l3_msualg_1(E,A) )
=> r2_circcomb(k1_circtrm1(A,B,C),k1_circtrm1(A,B,D),k6_circtrm1(A,B,C,E),k6_circtrm1(A,B,D,E)) ) ) ) ) ) ).
fof(t20_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( m3_msaterm(C,A,B)
=> ! [D] :
( m3_msaterm(D,A,B)
=> ! [E] :
( ( v5_msualg_1(E,A)
& l3_msualg_1(E,A) )
=> k6_circtrm1(A,B,k4_subset_1(k1_msaterm(A,B),C,D),E) = k4_circcomb(k1_circtrm1(A,B,C),k1_circtrm1(A,B,D),k6_circtrm1(A,B,C,E),k6_circtrm1(A,B,D,E)) ) ) ) ) ) ).
fof(d7_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v5_msualg_1(B,A)
& l3_msualg_1(B,A) )
=> ! [C] :
( m4_msaterm(C,A,B)
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D)
& v3_trees_2(D) )
=> ( m1_dtconstr(D,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C))
=> ! [E] :
( m3_pboole(E,u1_struct_0(A),C,u4_msualg_1(A,B))
=> ! [F] :
( F = k7_circtrm1(A,B,C,D,E)
<=> ? [G] :
( m1_dtconstr(G,u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u4_msualg_1(A,B),C))),k5_trees_3(u1_struct_0(k5_msafree(A,k2_pboole(u1_struct_0(A),u4_msualg_1(A,B),C)))),k1_msaterm(A,k2_pboole(u1_struct_0(A),u4_msualg_1(A,B),C)))
& G = D
& F = k9_msaterm(A,B,C,G,E) ) ) ) ) ) ) ) ) ).
fof(d8_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( m3_msaterm(C,A,B)
=> ! [D] :
( ( v5_msualg_1(D,A)
& v4_msafree2(D,A)
& l3_msualg_1(D,A) )
=> ! [E] :
( m1_subset_1(E,k4_card_3(u4_msualg_1(k1_circtrm1(A,B,C),k6_circtrm1(A,B,C,D))))
=> ! [F] :
( m3_pboole(F,u1_struct_0(A),B,u4_msualg_1(A,D))
=> ( m1_circtrm1(F,A,B,C,D,E)
<=> ! [G] :
( m1_subset_1(G,u1_struct_0(A))
=> ! [H] :
( m1_subset_1(H,k1_funct_1(B,G))
=> ( r2_hidden(k1_trees_4(k4_tarski(H,G)),k9_trees_9(C))
=> k1_funct_1(k1_funct_1(F,G),H) = k1_funct_1(E,k1_trees_4(k4_tarski(H,G))) ) ) ) ) ) ) ) ) ) ) ).
fof(t21_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v5_msualg_1(B,A)
& v4_msafree2(B,A)
& l3_msualg_1(B,A) )
=> ! [C] :
( m4_msaterm(C,A,B)
=> ! [D] :
( m3_msaterm(D,A,C)
=> ! [E] :
( m1_subset_1(E,k4_card_3(u4_msualg_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B))))
=> ! [F] :
( m1_circtrm1(F,A,C,D,B,E)
=> ! [G] :
( m2_subset_1(G,k1_numbers,k5_numbers)
=> m1_circtrm1(F,A,C,D,B,k9_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,G)) ) ) ) ) ) ) ) ).
fof(t22_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v5_msualg_1(B,A)
& v4_msafree2(B,A)
& l3_msualg_1(B,A) )
=> ! [C] :
( m4_msaterm(C,A,B)
=> ! [D] :
( m3_msaterm(D,A,C)
=> ! [E] :
( m1_subset_1(E,k4_card_3(u4_msualg_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B))))
=> ! [F] :
( m1_circtrm1(F,A,C,D,B,E)
=> ! [G] :
( m1_dtconstr(G,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C))
=> ( r2_hidden(G,k9_trees_9(D))
=> ( r1_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),k9_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k1_nat_1(np__1,k6_trees_1(k1_relat_1(G)))),G)
& k1_funct_1(k9_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k1_nat_1(np__1,k6_trees_1(k1_relat_1(G)))),G) = k7_circtrm1(A,B,C,G,F) ) ) ) ) ) ) ) ) ) ).
fof(t23_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v5_msualg_1(B,A)
& v4_msafree2(B,A)
& l3_msualg_1(B,A) )
=> ! [C] :
( m4_msaterm(C,A,B)
=> ! [D] :
( m3_msaterm(D,A,C)
=> ( ! [E] :
( m1_dtconstr(E,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C))
=> ! [F] :
( m1_subset_1(F,u1_msualg_1(A))
=> ~ ( r2_hidden(E,k9_trees_9(D))
& k1_funct_1(E,k1_xboole_0) = k4_tarski(F,u1_struct_0(A))
& k1_msualg_1(A,F) = k1_xboole_0 ) ) )
=> ! [E] :
( m1_subset_1(E,k4_card_3(u4_msualg_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B))))
=> ! [F] :
( m1_circtrm1(F,A,C,D,B,E)
=> ! [G] :
( m1_dtconstr(G,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C))
=> ( r2_hidden(G,k9_trees_9(D))
=> ( r1_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),k9_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k6_trees_1(k1_relat_1(G))),G)
& k1_funct_1(k9_facirc_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B),E,k6_trees_1(k1_relat_1(G))),G) = k7_circtrm1(A,B,C,G,F) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ( r1_circtrm1(A,B,C,D)
<=> ( v2_funct_1(C)
& v2_funct_1(D)
& r3_pua2mss1(A,B,C,D)
& r3_pua2mss1(B,A,k2_funct_1(C),k2_funct_1(D)) ) ) ) ) ) ) ).
fof(t24_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ( r1_circtrm1(A,B,C,D)
=> ( u1_struct_0(B) = k9_relat_1(C,u1_struct_0(A))
& u1_msualg_1(B) = k9_relat_1(D,u1_msualg_1(A)) ) ) ) ) ) ) ).
fof(t25_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ( r1_circtrm1(A,B,C,D)
=> ( k2_relat_1(C) = u1_struct_0(B)
& k2_relat_1(D) = u1_msualg_1(B) ) ) ) ) ) ) ).
fof(t26_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A) )
=> r1_circtrm1(A,A,k6_partfun1(u1_struct_0(A)),k6_partfun1(u1_msualg_1(A))) ) ).
fof(t27_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ( r1_circtrm1(A,B,C,D)
=> r1_circtrm1(B,A,k2_funct_1(C),k2_funct_1(D)) ) ) ) ) ) ).
fof(t28_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( ~ v3_struct_0(C)
& l1_msualg_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v1_relat_1(E)
& v1_funct_1(E) )
=> ! [F] :
( ( v1_relat_1(F)
& v1_funct_1(F) )
=> ! [G] :
( ( v1_relat_1(G)
& v1_funct_1(G) )
=> ( ( r1_circtrm1(A,B,D,E)
& r1_circtrm1(B,C,F,G) )
=> r1_circtrm1(A,C,k5_relat_1(D,F),k5_relat_1(E,G)) ) ) ) ) ) ) ) ) ).
fof(t29_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ( r1_circtrm1(A,B,C,D)
=> ( k9_relat_1(C,k2_msafree2(A)) = k2_msafree2(B)
& k9_relat_1(C,k3_msafree2(A)) = k3_msafree2(B) ) ) ) ) ) ) ).
fof(d10_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_msualg_1(B) )
=> ( r2_circtrm1(A,B)
<=> ? [C] :
( v1_relat_1(C)
& v1_funct_1(C)
& v2_funct_1(C)
& ? [D] :
( v1_relat_1(D)
& v1_funct_1(D)
& v2_funct_1(D)
& r1_circtrm1(A,B,C,D) ) ) ) ) ) ).
fof(t30_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( ~ v3_struct_0(C)
& l1_msualg_1(C) )
=> ( ( r2_circtrm1(A,B)
& r2_circtrm1(B,C) )
=> r2_circtrm1(A,C) ) ) ) ) ).
fof(d11_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ( r3_circtrm1(A,B,C)
<=> r1_tarski(k9_relat_1(C,k2_msafree2(A)),k2_msafree2(B)) ) ) ) ) ).
fof(t31_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ( r3_pua2mss1(A,B,C,D)
=> ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> m1_subset_1(k1_funct_1(C,E),u1_struct_0(B)) ) ) ) ) ) ) ).
fof(t32_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& ~ v2_msualg_1(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ( r3_pua2mss1(A,B,C,D)
=> ! [E] :
( m1_subset_1(E,u1_msualg_1(A))
=> m1_subset_1(k1_funct_1(D,E),u1_msualg_1(B)) ) ) ) ) ) ) ).
fof(t33_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ( r3_pua2mss1(A,B,C,D)
=> r1_tarski(k9_relat_1(C,k3_msafree2(A)),k3_msafree2(B)) ) ) ) ) ) ).
fof(t34_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& v2_msafree2(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& ~ v2_msualg_1(B)
& v2_msafree2(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ( r3_pua2mss1(A,B,C,D)
=> ! [E] :
( m1_subset_1(E,u1_struct_0(A))
=> ( r2_hidden(E,k4_msafree2(A))
=> ! [F] :
( m1_subset_1(F,u1_struct_0(B))
=> ( F = k1_funct_1(C,E)
=> k5_msafree2(B,F) = k1_funct_1(D,k5_msafree2(A,E)) ) ) ) ) ) ) ) ) ) ).
fof(d12_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v5_msualg_1(E,A)
& l3_msualg_1(E,A) )
=> ! [F] :
( ( v5_msualg_1(F,B)
& l3_msualg_1(F,B) )
=> ( r4_circtrm1(A,B,C,D,E,F)
<=> ( v2_funct_1(C)
& v2_funct_1(D)
& r3_pua2mss1(A,B,C,D)
& u4_msualg_1(A,E) = k5_relat_1(C,u4_msualg_1(B,F))
& u5_msualg_1(A,E) = k5_relat_1(D,u5_msualg_1(B,F)) ) ) ) ) ) ) ) ) ).
fof(t35_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v5_msualg_1(B,A)
& l3_msualg_1(B,A) )
=> r4_circtrm1(A,A,k6_partfun1(u1_struct_0(A)),k6_partfun1(u1_msualg_1(A)),B,B) ) ) ).
fof(t36_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( ~ v3_struct_0(C)
& l1_msualg_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v1_relat_1(E)
& v1_funct_1(E) )
=> ! [F] :
( ( v1_relat_1(F)
& v1_funct_1(F) )
=> ! [G] :
( ( v1_relat_1(G)
& v1_funct_1(G) )
=> ! [H] :
( ( v5_msualg_1(H,A)
& l3_msualg_1(H,A) )
=> ! [I] :
( ( v5_msualg_1(I,B)
& l3_msualg_1(I,B) )
=> ! [J] :
( ( v5_msualg_1(J,C)
& l3_msualg_1(J,C) )
=> ( ( r4_circtrm1(A,B,D,E,H,I)
& r4_circtrm1(B,C,F,G,I,J) )
=> r4_circtrm1(A,C,k5_relat_1(D,F),k5_relat_1(E,G),H,J) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d13_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v5_msualg_1(E,A)
& l3_msualg_1(E,A) )
=> ! [F] :
( ( v5_msualg_1(F,B)
& l3_msualg_1(F,B) )
=> ( r5_circtrm1(A,B,C,D,E,F)
<=> ( r4_circtrm1(A,B,C,D,E,F)
& r4_circtrm1(B,A,k2_funct_1(C),k2_funct_1(D),F,E) ) ) ) ) ) ) ) ) ).
fof(t37_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v5_msualg_1(E,A)
& l3_msualg_1(E,A) )
=> ! [F] :
( ( v5_msualg_1(F,B)
& l3_msualg_1(F,B) )
=> ( r5_circtrm1(A,B,C,D,E,F)
=> r1_circtrm1(A,B,C,D) ) ) ) ) ) ) ) ).
fof(t38_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v5_msualg_1(E,A)
& l3_msualg_1(E,A) )
=> ! [F] :
( ( v5_msualg_1(F,B)
& l3_msualg_1(F,B) )
=> ( r5_circtrm1(A,B,C,D,E,F)
<=> ( r1_circtrm1(A,B,C,D)
& u4_msualg_1(A,E) = k5_relat_1(C,u4_msualg_1(B,F))
& u5_msualg_1(A,E) = k5_relat_1(D,u5_msualg_1(B,F)) ) ) ) ) ) ) ) ) ).
fof(t39_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v5_msualg_1(B,A)
& l3_msualg_1(B,A) )
=> r5_circtrm1(A,A,k6_partfun1(u1_struct_0(A)),k6_partfun1(u1_msualg_1(A)),B,B) ) ) ).
fof(t40_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v5_msualg_1(E,A)
& l3_msualg_1(E,A) )
=> ! [F] :
( ( v5_msualg_1(F,B)
& l3_msualg_1(F,B) )
=> ( r5_circtrm1(A,B,C,D,E,F)
=> r5_circtrm1(B,A,k2_funct_1(C),k2_funct_1(D),F,E) ) ) ) ) ) ) ) ).
fof(t41_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( ~ v3_struct_0(C)
& l1_msualg_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v1_relat_1(E)
& v1_funct_1(E) )
=> ! [F] :
( ( v1_relat_1(F)
& v1_funct_1(F) )
=> ! [G] :
( ( v1_relat_1(G)
& v1_funct_1(G) )
=> ! [H] :
( ( v5_msualg_1(H,A)
& l3_msualg_1(H,A) )
=> ! [I] :
( ( v5_msualg_1(I,B)
& l3_msualg_1(I,B) )
=> ! [J] :
( ( v5_msualg_1(J,C)
& l3_msualg_1(J,C) )
=> ( ( r5_circtrm1(A,B,D,E,H,I)
& r5_circtrm1(B,C,F,G,I,J) )
=> r5_circtrm1(A,C,k5_relat_1(D,F),k5_relat_1(E,G),H,J) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d14_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v5_msualg_1(C,A)
& l3_msualg_1(C,A) )
=> ! [D] :
( ( v5_msualg_1(D,B)
& l3_msualg_1(D,B) )
=> ( r6_circtrm1(A,B,C,D)
<=> ? [E] :
( v1_relat_1(E)
& v1_funct_1(E)
& ? [F] :
( v1_relat_1(F)
& v1_funct_1(F)
& r5_circtrm1(A,B,E,F,C,D) ) ) ) ) ) ) ) ).
fof(t42_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& v2_msafree2(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& ~ v2_msualg_1(B)
& v2_msafree2(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v5_msualg_1(E,A)
& v4_msafree2(E,A)
& l3_msualg_1(E,A) )
=> ! [F] :
( ( v5_msualg_1(F,B)
& v4_msafree2(F,B)
& l3_msualg_1(F,B) )
=> ( r4_circtrm1(A,B,C,D,E,F)
=> ( k1_relat_1(C) = u1_struct_0(A)
& r1_tarski(k2_relat_1(C),u1_struct_0(B))
& k1_relat_1(D) = u1_msualg_1(A)
& r1_tarski(k2_relat_1(D),u1_msualg_1(B)) ) ) ) ) ) ) ) ) ).
fof(t43_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& v2_msafree2(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& ~ v2_msualg_1(B)
& v2_msafree2(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v5_msualg_1(E,A)
& v4_msafree2(E,A)
& l3_msualg_1(E,A) )
=> ! [F] :
( ( v5_msualg_1(F,B)
& v4_msafree2(F,B)
& l3_msualg_1(F,B) )
=> ( r4_circtrm1(A,B,C,D,E,F)
=> ! [G] :
( m1_subset_1(G,u1_msualg_1(A))
=> ! [H] :
( m1_subset_1(H,u1_msualg_1(B))
=> ( H = k1_funct_1(D,G)
=> k5_msualg_1(B,H,F) = k5_msualg_1(A,G,E) ) ) ) ) ) ) ) ) ) ) ).
fof(t44_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& v2_msafree2(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& ~ v2_msualg_1(B)
& v2_msafree2(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v5_msualg_1(E,A)
& v4_msafree2(E,A)
& l3_msualg_1(E,A) )
=> ! [F] :
( ( v5_msualg_1(F,B)
& v4_msafree2(F,B)
& l3_msualg_1(F,B) )
=> ( r4_circtrm1(A,B,C,D,E,F)
=> ! [G] :
( m1_subset_1(G,u1_msualg_1(A))
=> ! [H] :
( m1_subset_1(H,u1_msualg_1(B))
=> ( H = k1_funct_1(D,G)
=> ! [I] :
( m1_subset_1(I,k4_card_3(u4_msualg_1(A,E)))
=> ! [J] :
( m1_subset_1(J,k4_card_3(u4_msualg_1(B,F)))
=> ( I = k5_relat_1(C,J)
=> k3_circuit1(B,F,J,H) = k3_circuit1(A,E,I,G) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t45_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& v2_msafree2(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& ~ v2_msualg_1(B)
& v2_msafree2(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v5_msualg_1(E,A)
& v4_msafree2(E,A)
& l3_msualg_1(E,A) )
=> ! [F] :
( ( v5_msualg_1(F,B)
& v4_msafree2(F,B)
& l3_msualg_1(F,B) )
=> ( r4_circtrm1(A,B,C,D,E,F)
=> ! [G] :
( m1_subset_1(G,k4_card_3(u4_msualg_1(B,F)))
=> m1_subset_1(k5_relat_1(C,G),k4_card_3(u4_msualg_1(A,E))) ) ) ) ) ) ) ) ) ).
fof(t46_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& v2_msafree2(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& ~ v2_msualg_1(B)
& v2_msafree2(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v5_msualg_1(E,B)
& v4_msafree2(E,B)
& l3_msualg_1(E,B) )
=> ! [F] :
( ( v5_msualg_1(F,A)
& v4_msafree2(F,A)
& l3_msualg_1(F,A) )
=> ( r4_circtrm1(B,A,C,D,E,F)
=> ! [G] :
( m1_subset_1(G,k4_card_3(u4_msualg_1(A,F)))
=> ! [H] :
( m1_subset_1(H,k4_card_3(u4_msualg_1(B,E)))
=> ( ( H = k5_relat_1(C,G)
& ! [I] :
( m1_subset_1(I,u1_struct_0(B))
=> ( r2_hidden(I,k2_msafree2(B))
=> r1_facirc_1(A,F,G,k1_funct_1(C,I)) ) ) )
=> k6_circuit2(B,E,H) = k5_relat_1(C,k6_circuit2(A,F,G)) ) ) ) ) ) ) ) ) ) ) ).
fof(t47_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& v2_msafree2(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& ~ v2_msualg_1(B)
& v2_msafree2(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v5_msualg_1(E,A)
& v4_msafree2(E,A)
& l3_msualg_1(E,A) )
=> ! [F] :
( ( v5_msualg_1(F,B)
& v4_msafree2(F,B)
& l3_msualg_1(F,B) )
=> ( ( r4_circtrm1(A,B,C,D,E,F)
& r3_circtrm1(A,B,C) )
=> ! [G] :
( m1_subset_1(G,k4_card_3(u4_msualg_1(B,F)))
=> ! [H] :
( m1_subset_1(H,k4_card_3(u4_msualg_1(A,E)))
=> ( H = k5_relat_1(C,G)
=> k6_circuit2(A,E,H) = k5_relat_1(C,k6_circuit2(B,F,G)) ) ) ) ) ) ) ) ) ) ) ).
fof(t48_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& v2_msafree2(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& ~ v2_msualg_1(B)
& v2_msafree2(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v5_msualg_1(E,A)
& v4_msafree2(E,A)
& l3_msualg_1(E,A) )
=> ! [F] :
( ( v5_msualg_1(F,B)
& v4_msafree2(F,B)
& l3_msualg_1(F,B) )
=> ( ( r4_circtrm1(A,B,C,D,E,F)
& r3_circtrm1(A,B,C) )
=> ! [G] :
( m1_subset_1(G,k4_card_3(u4_msualg_1(B,F)))
=> ! [H] :
( m1_subset_1(H,k4_card_3(u4_msualg_1(A,E)))
=> ( H = k5_relat_1(C,G)
=> ! [I] :
( m2_subset_1(I,k1_numbers,k5_numbers)
=> k9_facirc_1(A,E,H,I) = k5_relat_1(C,k9_facirc_1(B,F,G,I)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t49_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& v2_msafree2(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& ~ v2_msualg_1(B)
& v2_msafree2(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v5_msualg_1(E,A)
& v4_msafree2(E,A)
& l3_msualg_1(E,A) )
=> ! [F] :
( ( v5_msualg_1(F,B)
& v4_msafree2(F,B)
& l3_msualg_1(F,B) )
=> ( ( r4_circtrm1(A,B,C,D,E,F)
& r3_circtrm1(A,B,C) )
=> ! [G] :
( m1_subset_1(G,k4_card_3(u4_msualg_1(B,F)))
=> ! [H] :
( m1_subset_1(H,k4_card_3(u4_msualg_1(A,E)))
=> ( ( H = k5_relat_1(C,G)
& v1_circuit2(G,B,F) )
=> v1_circuit2(H,A,E) ) ) ) ) ) ) ) ) ) ) ).
fof(t50_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& v2_msafree2(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& ~ v2_msualg_1(B)
& v2_msafree2(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v5_msualg_1(E,A)
& v4_msafree2(E,A)
& l3_msualg_1(E,A) )
=> ! [F] :
( ( v5_msualg_1(F,B)
& v4_msafree2(F,B)
& l3_msualg_1(F,B) )
=> ( ( r4_circtrm1(A,B,C,D,E,F)
& r3_circtrm1(A,B,C) )
=> ! [G] :
( m1_subset_1(G,k4_card_3(u4_msualg_1(B,F)))
=> ! [H] :
( m1_subset_1(H,k4_card_3(u4_msualg_1(A,E)))
=> ( H = k5_relat_1(C,G)
=> ! [I] :
( m1_subset_1(I,u1_struct_0(A))
=> ( r1_facirc_1(A,E,H,I)
<=> r1_facirc_1(B,F,G,k1_funct_1(C,I)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t51_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& v2_msafree2(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& ~ v2_msualg_1(B)
& v2_msafree2(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v5_msualg_1(E,A)
& v4_msafree2(E,A)
& l3_msualg_1(E,A) )
=> ! [F] :
( ( v5_msualg_1(F,B)
& v4_msafree2(F,B)
& l3_msualg_1(F,B) )
=> ( r5_circtrm1(A,B,C,D,E,F)
=> ! [G] :
( m1_subset_1(G,k4_card_3(u4_msualg_1(B,F)))
=> m1_subset_1(k5_relat_1(C,G),k4_card_3(u4_msualg_1(A,E))) ) ) ) ) ) ) ) ) ).
fof(t52_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& v2_msafree2(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& ~ v2_msualg_1(B)
& v2_msafree2(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v5_msualg_1(E,A)
& v4_msafree2(E,A)
& l3_msualg_1(E,A) )
=> ! [F] :
( ( v5_msualg_1(F,B)
& v4_msafree2(F,B)
& l3_msualg_1(F,B) )
=> ( r5_circtrm1(A,B,C,D,E,F)
=> ! [G] :
( m1_subset_1(G,k4_card_3(u4_msualg_1(A,E)))
=> ! [H] :
( m1_subset_1(H,k4_card_3(u4_msualg_1(B,F)))
=> ( G = k5_relat_1(C,H)
<=> H = k5_relat_1(k2_funct_1(C),G) ) ) ) ) ) ) ) ) ) ) ).
fof(t53_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& v2_msafree2(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& ~ v2_msualg_1(B)
& v2_msafree2(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v5_msualg_1(E,A)
& v4_msafree2(E,A)
& l3_msualg_1(E,A) )
=> ! [F] :
( ( v5_msualg_1(F,B)
& v4_msafree2(F,B)
& l3_msualg_1(F,B) )
=> ( r5_circtrm1(A,B,C,D,E,F)
=> ( k9_relat_1(C,k2_msafree2(A)) = k2_msafree2(B)
& k9_relat_1(C,k4_msafree2(A)) = k4_msafree2(B) ) ) ) ) ) ) ) ) ).
fof(t54_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& v2_msafree2(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& ~ v2_msualg_1(B)
& v2_msafree2(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v5_msualg_1(E,A)
& v4_msafree2(E,A)
& l3_msualg_1(E,A) )
=> ! [F] :
( ( v5_msualg_1(F,B)
& v4_msafree2(F,B)
& l3_msualg_1(F,B) )
=> ( r5_circtrm1(A,B,C,D,E,F)
=> r3_circtrm1(A,B,C) ) ) ) ) ) ) ) ).
fof(t55_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& v2_msafree2(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& ~ v2_msualg_1(B)
& v2_msafree2(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v5_msualg_1(E,A)
& v4_msafree2(E,A)
& l3_msualg_1(E,A) )
=> ! [F] :
( ( v5_msualg_1(F,B)
& v4_msafree2(F,B)
& l3_msualg_1(F,B) )
=> ( r5_circtrm1(A,B,C,D,E,F)
=> ! [G] :
( m1_subset_1(G,k4_card_3(u4_msualg_1(A,E)))
=> ! [H] :
( m1_subset_1(H,k4_card_3(u4_msualg_1(B,F)))
=> ( G = k5_relat_1(C,H)
=> k6_circuit2(A,E,G) = k5_relat_1(C,k6_circuit2(B,F,H)) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& v2_msafree2(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& ~ v2_msualg_1(B)
& v2_msafree2(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v5_msualg_1(E,A)
& v4_msafree2(E,A)
& l3_msualg_1(E,A) )
=> ! [F] :
( ( v5_msualg_1(F,B)
& v4_msafree2(F,B)
& l3_msualg_1(F,B) )
=> ( r5_circtrm1(A,B,C,D,E,F)
=> ! [G] :
( m1_subset_1(G,k4_card_3(u4_msualg_1(A,E)))
=> ! [H] :
( m1_subset_1(H,k4_card_3(u4_msualg_1(B,F)))
=> ( G = k5_relat_1(C,H)
=> ! [I] :
( m2_subset_1(I,k1_numbers,k5_numbers)
=> k9_facirc_1(A,E,G,I) = k5_relat_1(C,k9_facirc_1(B,F,H,I)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& v2_msafree2(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& ~ v2_msualg_1(B)
& v2_msafree2(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v5_msualg_1(E,A)
& v4_msafree2(E,A)
& l3_msualg_1(E,A) )
=> ! [F] :
( ( v5_msualg_1(F,B)
& v4_msafree2(F,B)
& l3_msualg_1(F,B) )
=> ( r5_circtrm1(A,B,C,D,E,F)
=> ! [G] :
( m1_subset_1(G,k4_card_3(u4_msualg_1(A,E)))
=> ! [H] :
( m1_subset_1(H,k4_card_3(u4_msualg_1(B,F)))
=> ( G = k5_relat_1(C,H)
=> ( v1_circuit2(G,A,E)
<=> v1_circuit2(H,B,F) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t58_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& v2_msafree2(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& ~ v2_msualg_1(B)
& v2_msafree2(B)
& l1_msualg_1(B) )
=> ! [C] :
( ( v1_relat_1(C)
& v1_funct_1(C) )
=> ! [D] :
( ( v1_relat_1(D)
& v1_funct_1(D) )
=> ! [E] :
( ( v5_msualg_1(E,B)
& v4_msafree2(E,B)
& l3_msualg_1(E,B) )
=> ! [F] :
( ( v5_msualg_1(F,A)
& v4_msafree2(F,A)
& l3_msualg_1(F,A) )
=> ( r5_circtrm1(B,A,C,D,E,F)
=> ! [G] :
( m1_subset_1(G,k4_card_3(u4_msualg_1(B,E)))
=> ! [H] :
( m1_subset_1(H,k4_card_3(u4_msualg_1(A,F)))
=> ( G = k5_relat_1(C,H)
=> ! [I] :
( m1_subset_1(I,u1_struct_0(B))
=> ( r1_facirc_1(B,E,G,I)
<=> r1_facirc_1(A,F,H,k1_funct_1(C,I)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v5_msualg_1(B,A)
& l3_msualg_1(B,A) )
=> ! [C] :
( ( v2_relat_1(C)
& m1_pboole(C,u1_struct_0(A)) )
=> ! [D] :
( ( ~ v1_xboole_0(D)
& m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,C))) )
=> ! [E] :
( ( ~ v3_struct_0(E)
& ~ v2_msualg_1(E)
& v2_msafree2(E)
& l1_msualg_1(E) )
=> ! [F] :
( ( v5_msualg_1(F,E)
& v4_msafree2(F,E)
& l3_msualg_1(F,E) )
=> ( r7_circtrm1(A,B,C,D,E,F)
<=> ? [G] :
( v1_relat_1(G)
& v1_funct_1(G)
& ? [H] :
( v1_relat_1(H)
& v1_funct_1(H)
& r4_circtrm1(k1_circtrm1(A,C,D),E,G,H,k6_circtrm1(A,C,D,B),F)
& r3_circtrm1(k1_circtrm1(A,C,D),E,G) ) ) ) ) ) ) ) ) ) ).
fof(d16_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v5_msualg_1(B,A)
& l3_msualg_1(B,A) )
=> ! [C] :
( ( v2_relat_1(C)
& m1_pboole(C,u1_struct_0(A)) )
=> ! [D] :
( ( ~ v1_xboole_0(D)
& m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,C))) )
=> ! [E] :
( ( ~ v3_struct_0(E)
& ~ v2_msualg_1(E)
& v2_msafree2(E)
& l1_msualg_1(E) )
=> ! [F] :
( ( v5_msualg_1(F,E)
& v4_msafree2(F,E)
& l3_msualg_1(F,E) )
=> ( r8_circtrm1(A,B,C,D,E,F)
<=> r6_circtrm1(E,k1_circtrm1(A,C,D),F,k6_circtrm1(A,C,D,B)) ) ) ) ) ) ) ) ).
fof(d17_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( ( v5_msualg_1(C,A)
& l3_msualg_1(C,A) )
=> ! [D] :
( ( ~ v1_xboole_0(D)
& m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B))) )
=> ! [E] :
( ( ~ v3_struct_0(E)
& ~ v2_msualg_1(E)
& v2_msafree2(E)
& l1_msualg_1(E) )
=> ! [F] :
( ( v5_msualg_1(F,E)
& v4_msafree2(F,E)
& l3_msualg_1(F,E) )
=> ( r7_circtrm1(A,C,B,D,E,F)
=> ! [G] :
( ( v1_relat_1(G)
& v1_funct_1(G)
& v2_funct_1(G) )
=> ( m2_circtrm1(G,A,B,C,D,E,F)
<=> ( r3_circtrm1(k1_circtrm1(A,B,D),E,G)
& ? [H] :
( v1_relat_1(H)
& v1_funct_1(H)
& r4_circtrm1(k1_circtrm1(A,B,D),E,G,H,k6_circtrm1(A,B,D,C),F) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d18_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A)) )
=> ! [C] :
( ( v5_msualg_1(C,A)
& l3_msualg_1(C,A) )
=> ! [D] :
( ( ~ v1_xboole_0(D)
& m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B))) )
=> ! [E] :
( ( ~ v3_struct_0(E)
& ~ v2_msualg_1(E)
& v2_msafree2(E)
& l1_msualg_1(E) )
=> ! [F] :
( ( v5_msualg_1(F,E)
& v4_msafree2(F,E)
& l3_msualg_1(F,E) )
=> ( r7_circtrm1(A,C,B,D,E,F)
=> ! [G] :
( m2_circtrm1(G,A,B,C,D,E,F)
=> ! [H] :
( ( v1_relat_1(H)
& v1_funct_1(H)
& v2_funct_1(H) )
=> ( m3_circtrm1(H,A,B,C,D,E,F,G)
<=> r4_circtrm1(k1_circtrm1(A,B,D),E,G,H,k6_circtrm1(A,B,D,C),F) ) ) ) ) ) ) ) ) ) ) ).
fof(t59_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v5_msualg_1(B,A)
& v4_msafree2(B,A)
& l3_msualg_1(B,A) )
=> ! [C] :
( m4_msaterm(C,A,B)
=> ! [D] :
( m3_msaterm(D,A,C)
=> ! [E] :
( ( ~ v3_struct_0(E)
& ~ v2_msualg_1(E)
& v2_msafree2(E)
& l1_msualg_1(E) )
=> ! [F] :
( ( v5_msualg_1(F,E)
& v4_msafree2(F,E)
& l3_msualg_1(F,E) )
=> ( r8_circtrm1(A,B,C,D,E,F)
=> r7_circtrm1(A,B,C,D,E,F) ) ) ) ) ) ) ) ).
fof(t60_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v5_msualg_1(B,A)
& v4_msafree2(B,A)
& l3_msualg_1(B,A) )
=> ! [C] :
( m4_msaterm(C,A,B)
=> ! [D] :
( m3_msaterm(D,A,C)
=> ! [E] :
( ( ~ v3_struct_0(E)
& ~ v2_msualg_1(E)
& v2_msafree2(E)
& l1_msualg_1(E) )
=> ! [F] :
( ( v5_msualg_1(F,E)
& v4_msafree2(F,E)
& l3_msualg_1(F,E) )
=> ( r7_circtrm1(A,B,C,D,E,F)
=> ! [G] :
( m2_circtrm1(G,A,C,B,D,E,F)
=> ! [H] :
( m1_dtconstr(H,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C))
=> ( r2_hidden(H,k9_trees_9(D))
=> ! [I] :
( m1_subset_1(I,k4_card_3(u4_msualg_1(E,F)))
=> ( r1_facirc_1(E,F,k9_facirc_1(E,F,I,k1_nat_1(np__1,k6_trees_1(k1_relat_1(H)))),k1_funct_1(G,H))
& ! [J] :
( m1_subset_1(J,k4_card_3(u4_msualg_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B))))
=> ( J = k5_relat_1(G,I)
=> ! [K] :
( m1_circtrm1(K,A,C,D,B,J)
=> k1_funct_1(k9_facirc_1(E,F,I,k1_nat_1(np__1,k6_trees_1(k1_relat_1(H)))),k1_funct_1(G,H)) = k7_circtrm1(A,B,C,H,K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t61_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v5_msualg_1(B,A)
& v4_msafree2(B,A)
& l3_msualg_1(B,A) )
=> ! [C] :
( m4_msaterm(C,A,B)
=> ! [D] :
( m3_msaterm(D,A,C)
=> ! [E] :
( ( ~ v3_struct_0(E)
& ~ v2_msualg_1(E)
& v2_msafree2(E)
& l1_msualg_1(E) )
=> ! [F] :
( ( v5_msualg_1(F,E)
& v4_msafree2(F,E)
& l3_msualg_1(F,E) )
=> ( r7_circtrm1(A,B,C,D,E,F)
=> ! [G] :
( m1_dtconstr(G,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C))
=> ~ ( r2_hidden(G,k9_trees_9(D))
& ! [H] :
( m1_subset_1(H,u1_struct_0(E))
=> ~ ! [I] :
( m1_subset_1(I,k4_card_3(u4_msualg_1(E,F)))
=> ( r1_facirc_1(E,F,k9_facirc_1(E,F,I,k1_nat_1(np__1,k6_trees_1(k1_relat_1(G)))),H)
& ? [J] :
( m2_circtrm1(J,A,C,B,D,E,F)
& ! [K] :
( m1_subset_1(K,k4_card_3(u4_msualg_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B))))
=> ( K = k5_relat_1(J,I)
=> ! [L] :
( m1_circtrm1(L,A,C,D,B,K)
=> k1_funct_1(k9_facirc_1(E,F,I,k1_nat_1(np__1,k6_trees_1(k1_relat_1(G)))),H) = k7_circtrm1(A,B,C,G,L) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t62_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v5_msualg_1(B,A)
& v4_msafree2(B,A)
& l3_msualg_1(B,A) )
=> ! [C] :
( m4_msaterm(C,A,B)
=> ! [D] :
( m3_msaterm(D,A,C)
=> ! [E] :
( ( ~ v3_struct_0(E)
& ~ v2_msualg_1(E)
& v2_msafree2(E)
& l1_msualg_1(E) )
=> ! [F] :
( ( v5_msualg_1(F,E)
& v4_msafree2(F,E)
& l3_msualg_1(F,E) )
=> ( r8_circtrm1(A,B,C,D,E,F)
=> ! [G] :
( m2_circtrm1(G,A,C,B,D,E,F)
=> ! [H] :
( m1_subset_1(H,k4_card_3(u4_msualg_1(E,F)))
=> ! [I] :
( m1_dtconstr(I,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C))
=> ( r2_hidden(I,k9_trees_9(D))
=> ( r1_facirc_1(E,F,k9_facirc_1(E,F,H,k1_nat_1(np__1,k6_trees_1(k1_relat_1(I)))),k1_funct_1(G,I))
& ! [J] :
( m1_subset_1(J,k4_card_3(u4_msualg_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B))))
=> ( J = k5_relat_1(G,H)
=> ! [K] :
( m1_circtrm1(K,A,C,D,B,J)
=> k1_funct_1(k9_facirc_1(E,F,H,k1_nat_1(np__1,k6_trees_1(k1_relat_1(I)))),k1_funct_1(G,I)) = k7_circtrm1(A,B,C,I,K) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t63_circtrm1,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A) )
=> ! [B] :
( ( v5_msualg_1(B,A)
& v4_msafree2(B,A)
& l3_msualg_1(B,A) )
=> ! [C] :
( m4_msaterm(C,A,B)
=> ! [D] :
( m3_msaterm(D,A,C)
=> ! [E] :
( ( ~ v3_struct_0(E)
& ~ v2_msualg_1(E)
& v2_msafree2(E)
& l1_msualg_1(E) )
=> ! [F] :
( ( v5_msualg_1(F,E)
& v4_msafree2(F,E)
& l3_msualg_1(F,E) )
=> ( r8_circtrm1(A,B,C,D,E,F)
=> ! [G] :
( m1_dtconstr(G,u1_struct_0(k5_msafree(A,C)),k5_trees_3(u1_struct_0(k5_msafree(A,C))),k1_msaterm(A,C))
=> ~ ( r2_hidden(G,k9_trees_9(D))
& ! [H] :
( m1_subset_1(H,u1_struct_0(E))
=> ~ ! [I] :
( m1_subset_1(I,k4_card_3(u4_msualg_1(E,F)))
=> ( r1_facirc_1(E,F,k9_facirc_1(E,F,I,k1_nat_1(np__1,k6_trees_1(k1_relat_1(G)))),H)
& ? [J] :
( m2_circtrm1(J,A,C,B,D,E,F)
& ! [K] :
( m1_subset_1(K,k4_card_3(u4_msualg_1(k1_circtrm1(A,C,D),k6_circtrm1(A,C,D,B))))
=> ( K = k5_relat_1(J,I)
=> ! [L] :
( m1_circtrm1(L,A,C,D,B,K)
=> k1_funct_1(k9_facirc_1(E,F,I,k1_nat_1(np__1,k6_trees_1(k1_relat_1(G)))),H) = k7_circtrm1(A,B,C,G,L) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s1_circtrm1,axiom,
( ! [A] :
( m1_subset_1(A,f1_s1_circtrm1)
=> ! [B] :
( m1_subset_1(B,k1_funct_1(f2_s1_circtrm1,A))
=> ? [C] :
( m1_subset_1(C,k1_funct_1(f3_s1_circtrm1,A))
& p1_s1_circtrm1(A,B,C) ) ) )
=> ? [A] :
( m3_pboole(A,f1_s1_circtrm1,f2_s1_circtrm1,f3_s1_circtrm1)
& ! [B] :
( m1_subset_1(B,f1_s1_circtrm1)
=> ! [C] :
( m1_subset_1(C,k1_funct_1(f2_s1_circtrm1,B))
=> p1_s1_circtrm1(B,C,k1_funct_1(k1_funct_1(A,B),C)) ) ) ) ) ).
fof(dt_m1_circtrm1,axiom,
! [A,B,C,D,E] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A)
& v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A))
& m3_msaterm(C,A,B)
& v5_msualg_1(D,A)
& v4_msafree2(D,A)
& l3_msualg_1(D,A)
& m1_subset_1(E,k4_card_3(u4_msualg_1(k1_circtrm1(A,B,C),k6_circtrm1(A,B,C,D)))) )
=> ! [F] :
( m1_circtrm1(F,A,B,C,D,E)
=> m3_pboole(F,u1_struct_0(A),B,u4_msualg_1(A,D)) ) ) ).
fof(existence_m1_circtrm1,axiom,
! [A,B,C,D,E] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A)
& v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A))
& m3_msaterm(C,A,B)
& v5_msualg_1(D,A)
& v4_msafree2(D,A)
& l3_msualg_1(D,A)
& m1_subset_1(E,k4_card_3(u4_msualg_1(k1_circtrm1(A,B,C),k6_circtrm1(A,B,C,D)))) )
=> ? [F] : m1_circtrm1(F,A,B,C,D,E) ) ).
fof(dt_m2_circtrm1,axiom,
! [A,B,C,D,E,F] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A)
& v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A))
& v5_msualg_1(C,A)
& l3_msualg_1(C,A)
& ~ v1_xboole_0(D)
& m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B)))
& ~ v3_struct_0(E)
& ~ v2_msualg_1(E)
& v2_msafree2(E)
& l1_msualg_1(E)
& v5_msualg_1(F,E)
& v4_msafree2(F,E)
& l3_msualg_1(F,E) )
=> ! [G] :
( m2_circtrm1(G,A,B,C,D,E,F)
=> ( v1_relat_1(G)
& v1_funct_1(G)
& v2_funct_1(G) ) ) ) ).
fof(existence_m2_circtrm1,axiom,
! [A,B,C,D,E,F] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A)
& v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A))
& v5_msualg_1(C,A)
& l3_msualg_1(C,A)
& ~ v1_xboole_0(D)
& m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B)))
& ~ v3_struct_0(E)
& ~ v2_msualg_1(E)
& v2_msafree2(E)
& l1_msualg_1(E)
& v5_msualg_1(F,E)
& v4_msafree2(F,E)
& l3_msualg_1(F,E) )
=> ? [G] : m2_circtrm1(G,A,B,C,D,E,F) ) ).
fof(dt_m3_circtrm1,axiom,
! [A,B,C,D,E,F,G] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A)
& v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A))
& v5_msualg_1(C,A)
& l3_msualg_1(C,A)
& ~ v1_xboole_0(D)
& m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B)))
& ~ v3_struct_0(E)
& ~ v2_msualg_1(E)
& v2_msafree2(E)
& l1_msualg_1(E)
& v5_msualg_1(F,E)
& v4_msafree2(F,E)
& l3_msualg_1(F,E)
& m2_circtrm1(G,A,B,C,D,E,F) )
=> ! [H] :
( m3_circtrm1(H,A,B,C,D,E,F,G)
=> ( v1_relat_1(H)
& v1_funct_1(H)
& v2_funct_1(H) ) ) ) ).
fof(existence_m3_circtrm1,axiom,
! [A,B,C,D,E,F,G] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A)
& v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A))
& v5_msualg_1(C,A)
& l3_msualg_1(C,A)
& ~ v1_xboole_0(D)
& m1_subset_1(D,k1_zfmisc_1(k1_msaterm(A,B)))
& ~ v3_struct_0(E)
& ~ v2_msualg_1(E)
& v2_msafree2(E)
& l1_msualg_1(E)
& v5_msualg_1(F,E)
& v4_msafree2(F,E)
& l3_msualg_1(F,E)
& m2_circtrm1(G,A,B,C,D,E,F) )
=> ? [H] : m3_circtrm1(H,A,B,C,D,E,F,G) ) ).
fof(symmetry_r2_circtrm1,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A)
& ~ v3_struct_0(B)
& l1_msualg_1(B) )
=> ( r2_circtrm1(A,B)
=> r2_circtrm1(B,A) ) ) ).
fof(reflexivity_r2_circtrm1,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& l1_msualg_1(A)
& ~ v3_struct_0(B)
& l1_msualg_1(B) )
=> r2_circtrm1(A,A) ) ).
fof(dt_k1_circtrm1,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A)
& v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A))
& ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B))) )
=> ( ~ v3_struct_0(k1_circtrm1(A,B,C))
& v1_msualg_1(k1_circtrm1(A,B,C))
& l1_msualg_1(k1_circtrm1(A,B,C)) ) ) ).
fof(dt_k2_circtrm1,axiom,
$true ).
fof(dt_k3_circtrm1,axiom,
! [A,B,C,D,E] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A)
& v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A))
& ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B)))
& m1_subset_1(D,u1_msualg_1(k1_circtrm1(A,B,C)))
& l3_msualg_1(E,A) )
=> ( v1_relat_1(k3_circtrm1(A,B,C,D,E))
& v1_funct_1(k3_circtrm1(A,B,C,D,E)) ) ) ).
fof(dt_k4_circtrm1,axiom,
! [A,B,C,D] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A)
& v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A))
& ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B)))
& l3_msualg_1(D,A) )
=> m1_pboole(k4_circtrm1(A,B,C,D),u1_struct_0(k1_circtrm1(A,B,C))) ) ).
fof(dt_k5_circtrm1,axiom,
! [A,B,C,D] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A)
& v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A))
& ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B)))
& v5_msualg_1(D,A)
& l3_msualg_1(D,A) )
=> m3_pboole(k5_circtrm1(A,B,C,D),u1_msualg_1(k1_circtrm1(A,B,C)),k8_pboole(u1_msualg_1(k1_circtrm1(A,B,C)),k3_finseq_2(u1_struct_0(k1_circtrm1(A,B,C))),u2_msualg_1(k1_circtrm1(A,B,C)),k6_pboole(u1_struct_0(k1_circtrm1(A,B,C)),k4_circtrm1(A,B,C,D))),k8_pboole(u1_msualg_1(k1_circtrm1(A,B,C)),u1_struct_0(k1_circtrm1(A,B,C)),u3_msualg_1(k1_circtrm1(A,B,C)),k4_circtrm1(A,B,C,D))) ) ).
fof(dt_k6_circtrm1,axiom,
! [A,B,C,D] :
( ( ~ v3_struct_0(A)
& ~ v2_msualg_1(A)
& l1_msualg_1(A)
& v2_relat_1(B)
& m1_pboole(B,u1_struct_0(A))
& ~ v1_xboole_0(C)
& m1_subset_1(C,k1_zfmisc_1(k1_msaterm(A,B)))
& v5_msualg_1(D,A)
& l3_msualg_1(D,A) )
=> ( v4_msualg_1(k6_circtrm1(A,B,C,D),k1_circtrm1(A,B,C))
& v5_msualg_1(k6_circtrm1(A,B,C,D),k1_circtrm1(A,B,C))
& l3_msualg_1(k6_circtrm1(A,B,C,D),k1_circtrm1(A,B,C)) ) ) ).
fof(dt_k7_circtrm1,axiom,
$true ).
%------------------------------------------------------------------------------