TPTP Problem File: SWV437^1.p
View Solutions
- Solve Problem
%------------------------------------------------------------------------------
% File : SWV437^1 : TPTP v8.2.0. Bugfixed v4.0.1.
% Domain : Software Verification (Security)
% Problem : Can Alice read the secret file?
% Version : [Gar08] axioms.
% English :
% Refs : [AM+01] Alechina et al. (2001), Categorical and Kripke Semanti
% : [Gar08] Garg (2008), Principal-Centric Reasoning in Constructi
% : [Gar09] Garg (2009), Email to Geoff Sutcliffe
% Source : [Gar09]
% Names :
% Status : Theorem
% Rating : 1.00 v4.0.1
% Syntax : Number of formulae : 280 ( 34 unt; 151 typ; 34 def)
% Number of atoms : 957 ( 34 equ; 0 cnn)
% Maximal formula atoms : 42 ( 7 avg)
% Number of connectives : 1348 ( 3 ~; 1 |; 2 &;1341 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 354 ( 354 >; 0 *; 0 +; 0 <<)
% Number of symbols : 159 ( 156 usr; 52 con; 0-6 aty)
% Number of variables : 188 ( 175 ^; 9 !; 4 ?; 188 :)
% SPC : TH0_THM_EQU_NAR
% Comments : Policies from the intelligence community in USA
% :
% Bugfixes : v4.0.1 - deleted duplicate declaration of loca
%------------------------------------------------------------------------------
%----Include axioms of multi-modal logic
include('Axioms/LCL008^0.ax').
%----Include axioms translating constructive S4 (CS4) to bimodal classical
%----S4 (BS4)
include('Axioms/LCL009^0.ax').
%----Include axioms for translation from Binder Logic (BL) to CS4
include('Axioms/SWV010^0.ax').
%------------------------------------------------------------------------------
%-----Declarations of constants and predicates
thf(ctime_decl,type,
ctime: individuals ).
thf(ninfty_decl,type,
ninfty: individuals ).
thf(pinfty_decl,type,
pinfty: individuals ).
thf(read_decl,type,
read: individuals ).
thf(write_decl,type,
write: individuals ).
thf(execute_decl,type,
execute: individuals ).
thf(identity_decl,type,
identity: individuals ).
thf(govern_decl,type,
govern: individuals ).
thf(prim_str2file_decl,type,
prim_str2file: individuals > individuals ).
thf(prim_date2time_decl,type,
prim_date2time: individuals > individuals ).
thf(prim_int2time_decl,type,
prim_int2time: individuals > individuals ).
thf(prim_int2principal_decl,type,
prim_int2principal: individuals > individuals ).
thf(time2exp_decl,type,
time2exp: individuals > individuals ).
thf(exp_add_decl,type,
exp_add: individuals > individuals > individuals ).
thf(exp_subtract_decl,type,
exp_subtract: individuals > individuals > individuals ).
thf(exp_min_decl,type,
exp_min: individuals > individuals > individuals ).
thf(exp_max_decl,type,
exp_max: individuals > individuals > individuals ).
thf(unclassified_decl,type,
unclassified: individuals ).
thf(sbu_decl,type,
sbu: individuals ).
thf(confidential_decl,type,
confidential: individuals ).
thf(secret_decl,type,
secret: individuals ).
thf(topsecret_decl,type,
topsecret: individuals ).
thf(admin_decl,type,
admin: individuals ).
thf(system_decl,type,
system: individuals ).
thf(nil_decl,type,
nil: individuals ).
thf(cons_decl,type,
cons: individuals > individuals > individuals ).
thf(anycountry_decl,type,
anycountry: individuals ).
thf(usa_decl,type,
usa: individuals ).
thf(yes_decl,type,
yes: individuals ).
thf(no_decl,type,
no: individuals ).
thf(is_working_paper_decl,type,
is_working_paper: individuals ).
thf(is_not_working_paper_decl,type,
is_not_working_paper: individuals ).
thf(oca_decl,type,
oca: individuals ).
thf(compartmentb_decl,type,
compartmentb: individuals ).
thf(sso_compartmentb_decl,type,
sso_compartmentb: individuals ).
thf(scg_compartmentb_decl,type,
scg_compartmentb: individuals ).
thf(compartmenta_decl,type,
compartmenta: individuals ).
thf(sso_compartmenta_decl,type,
sso_compartmenta: individuals ).
thf(scg_compartmenta_decl,type,
scg_compartmenta: individuals ).
thf(secretfile_decl,type,
secretfile: individuals ).
thf(not_secretfile_decl,type,
not_secretfile: individuals ).
thf(alice_decl,type,
alice: individuals ).
thf(babu_decl,type,
babu: individuals ).
thf(india_decl,type,
india: individuals ).
thf(polygraph_admin_decl,type,
polygraph_admin: individuals ).
thf(credit_admin_decl,type,
credit_admin: individuals ).
thf(background_admin_decl,type,
background_admin: individuals ).
thf(hr_admin_decl,type,
hr_admin: individuals ).
thf(level_admin_decl,type,
level_admin: individuals ).
thf(owner_secretfile_decl,type,
owner_secretfile: individuals ).
thf(owner_not_secretfile_decl,type,
owner_not_secretfile: individuals ).
thf(ci_decl,type,
ci: individuals ).
thf(loca_level_direct_below_decl,type,
loca_level_direct_below: individuals > individuals > $i > $o ).
thf(loca_level_below_decl,type,
loca_level_below: individuals > individuals > $i > $o ).
thf(system_compartment_has_sso_decl,type,
system_compartment_has_sso: individuals > individuals > $i > $o ).
thf(admin_compartment_has_sso_decl,type,
admin_compartment_has_sso: individuals > individuals > $i > $o ).
thf(system_indi_is_oca_decl,type,
system_indi_is_oca: individuals > $i > $o ).
thf(oca_compartment_has_scg_decl,type,
oca_compartment_has_scg: individuals > individuals > $i > $o ).
thf(sso_compartment_has_scg_decl,type,
sso_compartment_has_scg: individuals > individuals > $i > $o ).
thf(admin_compartment_has_scg_decl,type,
admin_compartment_has_scg: individuals > individuals > $i > $o ).
thf(system_file_needs_compartments_decl,type,
system_file_needs_compartments: individuals > individuals > $i > $o ).
thf(admin_file_has_compartments_h_decl,type,
admin_file_has_compartments_h: individuals > individuals > individuals > $i > $o ).
thf(admin_file_has_compartments_decl,type,
admin_file_has_compartments: individuals > individuals > $i > $o ).
thf(sso_file_has_compartments_decl,type,
sso_file_has_compartments: individuals > individuals > $i > $o ).
thf(system_file_needs_level_decl,type,
system_file_needs_level: individuals > individuals > $i > $o ).
thf(admin_file_has_level_h_decl,type,
admin_file_has_level_h: individuals > individuals > individuals > $i > $o ).
thf(admin_file_has_level_decl,type,
admin_file_has_level: individuals > individuals > $i > $o ).
thf(sso_file_has_level_decl,type,
sso_file_has_level: individuals > individuals > individuals > $i > $o ).
thf(system_file_needs_citizenship_decl,type,
system_file_needs_citizenship: individuals > individuals > $i > $o ).
thf(admin_file_has_citizenship_h_decl,type,
admin_file_has_citizenship_h: individuals > individuals > individuals > $i > $o ).
thf(admin_file_has_citizenship_decl,type,
admin_file_has_citizenship: individuals > individuals > $i > $o ).
thf(sso_file_has_citizenship_decl,type,
sso_file_has_citizenship: individuals > individuals > individuals > $i > $o ).
thf(system_indi_is_polygraph_admin_decl,type,
system_indi_is_polygraph_admin: individuals > $i > $o ).
thf(polygraph_admin_indi_has_polygraph_decl,type,
polygraph_admin_indi_has_polygraph: individuals > $i > $o ).
thf(admin_indi_has_polygraph_decl,type,
admin_indi_has_polygraph: individuals > $i > $o ).
thf(system_indi_is_credit_admin_decl,type,
system_indi_is_credit_admin: individuals > $i > $o ).
thf(credit_admin_indi_has_credit_decl,type,
credit_admin_indi_has_credit: individuals > $i > $o ).
thf(admin_indi_has_credit_decl,type,
admin_indi_has_credit: individuals > $i > $o ).
thf(admin_indi_has_background_decl,type,
admin_indi_has_background: individuals > individuals > $i > $o ).
thf(system_indi_is_background_admin_decl,type,
system_indi_is_background_admin: individuals > $i > $o ).
thf(background_admin_indi_has_background_decl,type,
background_admin_indi_has_background: individuals > individuals > $i > $o ).
thf(system_indi_is_hr_admin_decl,type,
system_indi_is_hr_admin: individuals > $i > $o ).
thf(hr_admin_indi_has_employment_decl,type,
hr_admin_indi_has_employment: individuals > $i > $o ).
thf(admin_indi_has_employment_decl,type,
admin_indi_has_employment: individuals > $i > $o ).
thf(admin_indi_has_citizenship_decl,type,
admin_indi_has_citizenship: individuals > individuals > $i > $o ).
thf(system_indi_has_citizenship_decl,type,
system_indi_has_citizenship: individuals > individuals > $i > $o ).
thf(admin_indi_has_level_decl,type,
admin_indi_has_level: individuals > individuals > $i > $o ).
thf(system_indi_needs_level_decl,type,
system_indi_needs_level: individuals > individuals > $i > $o ).
thf(system_indi_is_level_admin_decl,type,
system_indi_is_level_admin: individuals > $i > $o ).
thf(level_admin_indi_has_level_decl,type,
level_admin_indi_has_level: individuals > individuals > $i > $o ).
thf(admin_indi_has_compartments_decl,type,
admin_indi_has_compartments: individuals > individuals > $i > $o ).
thf(system_indi_needs_compartment_decl,type,
system_indi_needs_compartment: individuals > individuals > $i > $o ).
thf(admin_indi_has_polygraph_for_compartment_decl,type,
admin_indi_has_polygraph_for_compartment: individuals > individuals > $i > $o ).
thf(admin_indi_has_credit_for_compartment_decl,type,
admin_indi_has_credit_for_compartment: individuals > individuals > $i > $o ).
thf(sso_indi_has_compartment_decl,type,
sso_indi_has_compartment: individuals > individuals > $i > $o ).
thf(admin_indi_has_background_for_compartment_decl,type,
admin_indi_has_background_for_compartment: individuals > individuals > $i > $o ).
thf(admin_indi_has_level_for_compartment_decl,type,
admin_indi_has_level_for_compartment: individuals > individuals > $i > $o ).
thf(oca_compartment_is_compartment_decl,type,
oca_compartment_is_compartment: individuals > individuals > individuals > individuals > individuals > $i > $o ).
thf(admin_indi_has_compartments_for_file_decl,type,
admin_indi_has_compartments_for_file: individuals > individuals > $i > $o ).
thf(admin_indi_has_level_for_file_decl,type,
admin_indi_has_level_for_file: individuals > individuals > $i > $o ).
thf(p_owner_decl,type,
p_owner: individuals > individuals > $i > $o ).
thf(owner_indi_has_need_to_know_decl,type,
owner_indi_has_need_to_know: individuals > individuals > $i > $o ).
thf(admin_indi_has_need_to_know_for_file_decl,type,
admin_indi_has_need_to_know_for_file: individuals > individuals > $i > $o ).
thf(admin_indi_has_citizenship_for_file_decl,type,
admin_indi_has_citizenship_for_file: individuals > individuals > $i > $o ).
thf(p_has_xattr_decl,type,
p_has_xattr: individuals > individuals > individuals > $i > $o ).
thf(admin_file_has_not_expired_decl,type,
admin_file_has_not_expired: individuals > $i > $o ).
thf(may_decl,type,
may: individuals > individuals > individuals > $i > $o ).
thf(system_indi_is_counterintelligence_decl,type,
system_indi_is_counterintelligence: individuals > individuals > $i > $o ).
%----Axioms
thf(ax0,axiom,
bl_valid @ ( bl_says @ loca @ ( bl_atom @ ( loca_level_direct_below @ unclassified @ sbu ) ) ) ).
thf(ax1,axiom,
bl_valid @ ( bl_says @ loca @ ( bl_atom @ ( loca_level_direct_below @ sbu @ confidential ) ) ) ).
thf(ax2,axiom,
bl_valid @ ( bl_says @ loca @ ( bl_atom @ ( loca_level_direct_below @ confidential @ secret ) ) ) ).
thf(ax3,axiom,
bl_valid @ ( bl_says @ loca @ ( bl_atom @ ( loca_level_direct_below @ secret @ topsecret ) ) ) ).
thf(ax4,axiom,
( bl_valid
@ ( bl_says @ loca
@ ( bl_all
@ ^ [L: individuals] : ( bl_atom @ ( loca_level_below @ L @ L ) ) ) ) ) ).
thf(ax5,axiom,
( bl_valid
@ ( bl_says @ loca
@ ( bl_all
@ ^ [L: individuals] :
( bl_all
@ ^ [L1: individuals] :
( bl_all
@ ^ [L11: individuals] : ( bl_impl @ ( bl_atom @ ( loca_level_direct_below @ L1 @ L11 ) ) @ ( bl_impl @ ( bl_atom @ ( loca_level_below @ L @ L1 ) ) @ ( bl_atom @ ( loca_level_below @ L @ L11 ) ) ) ) ) ) ) ) ) ).
thf(ax6,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [C: individuals] :
( bl_all
@ ^ [SSO: individuals] : ( bl_impl @ ( bl_says @ system @ ( bl_atom @ ( system_compartment_has_sso @ C @ SSO ) ) ) @ ( bl_atom @ ( admin_compartment_has_sso @ C @ SSO ) ) ) ) ) ) ) ).
thf(ax7,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [OCA: individuals] :
( bl_all
@ ^ [C: individuals] :
( bl_all
@ ^ [SSO: individuals] :
( bl_all
@ ^ [SCG: individuals] : ( bl_impl @ ( bl_says @ system @ ( bl_atom @ ( system_indi_is_oca @ OCA ) ) ) @ ( bl_impl @ ( bl_says @ OCA @ ( bl_atom @ ( oca_compartment_has_scg @ C @ SCG ) ) ) @ ( bl_impl @ ( bl_atom @ ( admin_compartment_has_sso @ C @ SSO ) ) @ ( bl_impl @ ( bl_says @ SSO @ ( bl_atom @ ( sso_compartment_has_scg @ C @ SCG ) ) ) @ ( bl_atom @ ( admin_compartment_has_scg @ C @ SCG ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(ax8,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [F: individuals] :
( bl_all
@ ^ [CL: individuals] : ( bl_impl @ ( bl_says @ system @ ( bl_atom @ ( system_file_needs_compartments @ F @ CL ) ) ) @ ( bl_impl @ ( bl_atom @ ( admin_file_has_compartments_h @ F @ CL @ CL ) ) @ ( bl_atom @ ( admin_file_has_compartments @ F @ CL ) ) ) ) ) ) ) ) ).
thf(ax9,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [F: individuals] :
( bl_all
@ ^ [CL: individuals] : ( bl_atom @ ( admin_file_has_compartments_h @ F @ CL @ nil ) ) ) ) ) ) ).
thf(ax10,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [F: individuals] :
( bl_all
@ ^ [CL: individuals] :
( bl_all
@ ^ [C1: individuals] :
( bl_all
@ ^ [CL1: individuals] :
( bl_all
@ ^ [SSO: individuals] : ( bl_impl @ ( bl_atom @ ( admin_compartment_has_sso @ C1 @ SSO ) ) @ ( bl_impl @ ( bl_says @ SSO @ ( bl_atom @ ( sso_file_has_compartments @ F @ CL ) ) ) @ ( bl_impl @ ( bl_atom @ ( admin_file_has_compartments_h @ F @ CL @ CL1 ) ) @ ( bl_atom @ ( admin_file_has_compartments_h @ F @ CL @ ( cons @ C1 @ CL1 ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(ax11,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [F: individuals] :
( bl_all
@ ^ [L: individuals] :
( bl_all
@ ^ [CL: individuals] : ( bl_impl @ ( bl_says @ system @ ( bl_atom @ ( system_file_needs_level @ F @ L ) ) ) @ ( bl_impl @ ( bl_atom @ ( admin_file_has_compartments @ F @ CL ) ) @ ( bl_impl @ ( bl_atom @ ( admin_file_has_level_h @ F @ L @ CL ) ) @ ( bl_atom @ ( admin_file_has_level @ F @ L ) ) ) ) ) ) ) ) ) ) ).
thf(ax12,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [F: individuals] :
( bl_all
@ ^ [L: individuals] : ( bl_atom @ ( admin_file_has_level_h @ F @ L @ nil ) ) ) ) ) ) ).
thf(ax13,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [F: individuals] :
( bl_all
@ ^ [L: individuals] :
( bl_all
@ ^ [C: individuals] :
( bl_all
@ ^ [CL: individuals] :
( bl_all
@ ^ [SSO: individuals] :
( bl_all
@ ^ [SCG: individuals] : ( bl_impl @ ( bl_atom @ ( admin_compartment_has_sso @ C @ SSO ) ) @ ( bl_impl @ ( bl_atom @ ( admin_compartment_has_scg @ C @ SCG ) ) @ ( bl_impl @ ( bl_says @ SSO @ ( bl_atom @ ( sso_file_has_level @ F @ L @ SCG ) ) ) @ ( bl_impl @ ( bl_atom @ ( admin_file_has_level_h @ F @ L @ CL ) ) @ ( bl_atom @ ( admin_file_has_level_h @ F @ L @ ( cons @ C @ CL ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(ax14,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [F: individuals] :
( bl_all
@ ^ [U: individuals] :
( bl_all
@ ^ [CL: individuals] : ( bl_impl @ ( bl_says @ system @ ( bl_atom @ ( system_file_needs_citizenship @ F @ U ) ) ) @ ( bl_impl @ ( bl_atom @ ( admin_file_has_compartments @ F @ CL ) ) @ ( bl_impl @ ( bl_atom @ ( admin_file_has_citizenship_h @ F @ U @ CL ) ) @ ( bl_atom @ ( admin_file_has_citizenship @ F @ U ) ) ) ) ) ) ) ) ) ) ).
thf(ax15,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [F: individuals] :
( bl_all
@ ^ [U: individuals] : ( bl_atom @ ( admin_file_has_citizenship_h @ F @ U @ nil ) ) ) ) ) ) ).
thf(ax16,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [F: individuals] :
( bl_all
@ ^ [U: individuals] :
( bl_all
@ ^ [C: individuals] :
( bl_all
@ ^ [CL: individuals] :
( bl_all
@ ^ [SSO: individuals] :
( bl_all
@ ^ [SCG: individuals] : ( bl_impl @ ( bl_atom @ ( admin_compartment_has_sso @ C @ SSO ) ) @ ( bl_impl @ ( bl_atom @ ( admin_compartment_has_scg @ C @ SCG ) ) @ ( bl_impl @ ( bl_says @ SSO @ ( bl_atom @ ( sso_file_has_citizenship @ F @ U @ SCG ) ) ) @ ( bl_impl @ ( bl_atom @ ( admin_file_has_citizenship_h @ F @ U @ CL ) ) @ ( bl_atom @ ( admin_file_has_citizenship_h @ F @ U @ ( cons @ C @ CL ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(ax17,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] :
( bl_all
@ ^ [PA: individuals] : ( bl_impl @ ( bl_says @ system @ ( bl_atom @ ( system_indi_is_polygraph_admin @ PA ) ) ) @ ( bl_impl @ ( bl_says @ PA @ ( bl_atom @ ( polygraph_admin_indi_has_polygraph @ K ) ) ) @ ( bl_atom @ ( admin_indi_has_polygraph @ K ) ) ) ) ) ) ) ) ).
thf(ax18,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] :
( bl_all
@ ^ [CA: individuals] : ( bl_impl @ ( bl_says @ system @ ( bl_atom @ ( system_indi_is_credit_admin @ CA ) ) ) @ ( bl_impl @ ( bl_says @ CA @ ( bl_atom @ ( credit_admin_indi_has_credit @ K ) ) ) @ ( bl_atom @ ( admin_indi_has_credit @ K ) ) ) ) ) ) ) ) ).
thf(ax19,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] : ( bl_atom @ ( admin_indi_has_background @ K @ unclassified ) ) ) ) ) ).
thf(ax20,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] :
( bl_all
@ ^ [L: individuals] :
( bl_all
@ ^ [BA: individuals] :
( bl_all
@ ^ [L1: individuals] : ( bl_impl @ ( bl_says @ system @ ( bl_atom @ ( system_indi_is_background_admin @ BA ) ) ) @ ( bl_impl @ ( bl_says @ BA @ ( bl_atom @ ( background_admin_indi_has_background @ K @ L1 ) ) ) @ ( bl_impl @ ( bl_atom @ ( loca_level_below @ L @ L1 ) ) @ ( bl_atom @ ( admin_indi_has_background @ K @ L ) ) ) ) ) ) ) ) ) ) ) ).
thf(ax21,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] :
( bl_all
@ ^ [HR: individuals] : ( bl_impl @ ( bl_says @ system @ ( bl_atom @ ( system_indi_is_hr_admin @ HR ) ) ) @ ( bl_impl @ ( bl_says @ HR @ ( bl_atom @ ( hr_admin_indi_has_employment @ K ) ) ) @ ( bl_atom @ ( admin_indi_has_employment @ K ) ) ) ) ) ) ) ) ).
thf(ax22,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] : ( bl_atom @ ( admin_indi_has_citizenship @ K @ anycountry ) ) ) ) ) ).
thf(ax23,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] :
( bl_all
@ ^ [U: individuals] : ( bl_impl @ ( bl_says @ system @ ( bl_atom @ ( system_indi_has_citizenship @ K @ U ) ) ) @ ( bl_atom @ ( admin_indi_has_citizenship @ K @ U ) ) ) ) ) ) ) ).
thf(ax24,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] : ( bl_atom @ ( admin_indi_has_level @ K @ unclassified ) ) ) ) ) ).
thf(ax25,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] :
( bl_all
@ ^ [L: individuals] :
( bl_all
@ ^ [L1: individuals] :
( bl_all
@ ^ [LA: individuals] :
( bl_all
@ ^ [L11: individuals] : ( bl_impl @ ( bl_says @ system @ ( bl_atom @ ( system_indi_needs_level @ K @ L1 ) ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_citizenship @ K @ usa ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_polygraph @ K ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_employment @ K ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_credit @ K ) ) @ ( bl_impl @ ( bl_atom @ ( loca_level_below @ L @ L1 ) ) @ ( bl_impl @ ( bl_says @ system @ ( bl_atom @ ( system_indi_is_level_admin @ LA ) ) ) @ ( bl_impl @ ( bl_says @ LA @ ( bl_atom @ ( level_admin_indi_has_level @ K @ L11 ) ) ) @ ( bl_impl @ ( bl_atom @ ( loca_level_below @ L @ L11 ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_background @ K @ L ) ) @ ( bl_atom @ ( admin_indi_has_level @ K @ L ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(ax26,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] : ( bl_atom @ ( admin_indi_has_compartments @ K @ nil ) ) ) ) ) ).
thf(ax27,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] :
( bl_all
@ ^ [C: individuals] :
( bl_all
@ ^ [CL: individuals] :
( bl_all
@ ^ [SSO: individuals] : ( bl_impl @ ( bl_says @ system @ ( bl_atom @ ( system_indi_needs_compartment @ K @ C ) ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_employment @ K ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_citizenship @ K @ usa ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_polygraph_for_compartment @ K @ C ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_credit_for_compartment @ K @ C ) ) @ ( bl_impl @ ( bl_atom @ ( admin_compartment_has_sso @ C @ SSO ) ) @ ( bl_impl @ ( bl_says @ SSO @ ( bl_atom @ ( sso_indi_has_compartment @ K @ C ) ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_background_for_compartment @ K @ C ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_level_for_compartment @ K @ C ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_compartments @ K @ CL ) ) @ ( bl_atom @ ( admin_indi_has_compartments @ K @ ( cons @ C @ CL ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(ax28,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] :
( bl_all
@ ^ [C: individuals] :
( bl_all
@ ^ [OCA: individuals] :
( bl_all
@ ^ [L1: individuals] :
( bl_all
@ ^ [L2: individuals] :
( bl_all
@ ^ [B1: individuals] :
( bl_all
@ ^ [B2: individuals] : ( bl_impl @ ( bl_says @ system @ ( bl_atom @ ( system_indi_is_oca @ OCA ) ) ) @ ( bl_impl @ ( bl_says @ OCA @ ( bl_atom @ ( oca_compartment_is_compartment @ C @ L1 @ L2 @ B1 @ B2 ) ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_background @ K @ L2 ) ) @ ( bl_atom @ ( admin_indi_has_background_for_compartment @ K @ C ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(ax29,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] :
( bl_all
@ ^ [C: individuals] :
( bl_all
@ ^ [OCA: individuals] :
( bl_all
@ ^ [L1: individuals] :
( bl_all
@ ^ [L2: individuals] :
( bl_all
@ ^ [B1: individuals] :
( bl_all
@ ^ [B2: individuals] : ( bl_impl @ ( bl_says @ system @ ( bl_atom @ ( system_indi_is_oca @ OCA ) ) ) @ ( bl_impl @ ( bl_says @ OCA @ ( bl_atom @ ( oca_compartment_is_compartment @ C @ L1 @ L2 @ B1 @ B2 ) ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_level @ K @ L1 ) ) @ ( bl_atom @ ( admin_indi_has_level_for_compartment @ K @ C ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(ax30,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] :
( bl_all
@ ^ [C: individuals] :
( bl_all
@ ^ [OCA: individuals] :
( bl_all
@ ^ [L1: individuals] :
( bl_all
@ ^ [L2: individuals] :
( bl_all
@ ^ [B1: individuals] : ( bl_impl @ ( bl_says @ system @ ( bl_atom @ ( system_indi_is_oca @ OCA ) ) ) @ ( bl_impl @ ( bl_says @ OCA @ ( bl_atom @ ( oca_compartment_is_compartment @ C @ L1 @ L2 @ B1 @ yes ) ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_polygraph @ K ) ) @ ( bl_atom @ ( admin_indi_has_polygraph_for_compartment @ K @ C ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(ax31,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] :
( bl_all
@ ^ [C: individuals] :
( bl_all
@ ^ [OCA: individuals] :
( bl_all
@ ^ [L1: individuals] :
( bl_all
@ ^ [L2: individuals] :
( bl_all
@ ^ [B1: individuals] : ( bl_impl @ ( bl_says @ system @ ( bl_atom @ ( system_indi_is_oca @ OCA ) ) ) @ ( bl_impl @ ( bl_says @ OCA @ ( bl_atom @ ( oca_compartment_is_compartment @ C @ L1 @ L2 @ B1 @ no ) ) ) @ ( bl_atom @ ( admin_indi_has_polygraph_for_compartment @ K @ C ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(ax32,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] :
( bl_all
@ ^ [C: individuals] :
( bl_all
@ ^ [OCA: individuals] :
( bl_all
@ ^ [L1: individuals] :
( bl_all
@ ^ [L2: individuals] :
( bl_all
@ ^ [B2: individuals] : ( bl_impl @ ( bl_says @ system @ ( bl_atom @ ( system_indi_is_oca @ OCA ) ) ) @ ( bl_impl @ ( bl_says @ OCA @ ( bl_atom @ ( oca_compartment_is_compartment @ C @ L1 @ L2 @ yes @ B2 ) ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_credit @ K ) ) @ ( bl_atom @ ( admin_indi_has_credit_for_compartment @ K @ C ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(ax33,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] :
( bl_all
@ ^ [C: individuals] :
( bl_all
@ ^ [OCA: individuals] :
( bl_all
@ ^ [L1: individuals] :
( bl_all
@ ^ [L2: individuals] :
( bl_all
@ ^ [B2: individuals] : ( bl_impl @ ( bl_says @ system @ ( bl_atom @ ( system_indi_is_oca @ OCA ) ) ) @ ( bl_impl @ ( bl_says @ OCA @ ( bl_atom @ ( oca_compartment_is_compartment @ C @ L1 @ L2 @ no @ B2 ) ) ) @ ( bl_atom @ ( admin_indi_has_credit_for_compartment @ K @ C ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(ax34,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] :
( bl_all
@ ^ [F: individuals] :
( bl_all
@ ^ [CL: individuals] : ( bl_impl @ ( bl_atom @ ( admin_file_has_compartments @ F @ CL ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_compartments @ K @ CL ) ) @ ( bl_atom @ ( admin_indi_has_compartments_for_file @ K @ F ) ) ) ) ) ) ) ) ) ).
thf(ax35,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] :
( bl_all
@ ^ [F: individuals] :
( bl_all
@ ^ [L: individuals] : ( bl_impl @ ( bl_atom @ ( admin_file_has_level @ F @ L ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_level @ K @ L ) ) @ ( bl_atom @ ( admin_indi_has_level_for_file @ K @ F ) ) ) ) ) ) ) ) ) ).
thf(ax36,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] :
( bl_all
@ ^ [F: individuals] :
( bl_all
@ ^ [O: individuals] : ( bl_impl @ ( bl_says @ loca @ ( bl_atom @ ( p_owner @ F @ O ) ) ) @ ( bl_impl @ ( bl_says @ O @ ( bl_atom @ ( owner_indi_has_need_to_know @ K @ F ) ) ) @ ( bl_atom @ ( admin_indi_has_need_to_know_for_file @ K @ F ) ) ) ) ) ) ) ) ) ).
thf(ax37,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] :
( bl_all
@ ^ [F: individuals] :
( bl_all
@ ^ [L: individuals] : ( bl_impl @ ( bl_atom @ ( admin_file_has_citizenship @ F @ L ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_citizenship @ K @ L ) ) @ ( bl_atom @ ( admin_indi_has_citizenship_for_file @ K @ F ) ) ) ) ) ) ) ) ) ).
thf(ax38,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] :
( bl_all
@ ^ [F: individuals] : ( bl_impl @ ( bl_atom @ ( admin_indi_has_citizenship @ K @ usa ) ) @ ( bl_atom @ ( admin_indi_has_citizenship_for_file @ K @ F ) ) ) ) ) ) ) ).
thf(ax39,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] :
( bl_all
@ ^ [F: individuals] : ( bl_impl @ ( bl_says @ loca @ ( bl_atom @ ( p_has_xattr @ F @ is_working_paper @ yes ) ) ) @ ( bl_impl @ ( bl_says @ loca @ ( bl_atom @ ( p_owner @ F @ K ) ) ) @ ( bl_impl @ ( bl_atom @ ( admin_file_has_not_expired @ F ) ) @ ( bl_atom @ ( may @ K @ F @ read ) ) ) ) ) ) ) ) ) ).
thf(ax40,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] :
( bl_all
@ ^ [F: individuals] : ( bl_impl @ ( bl_says @ loca @ ( bl_atom @ ( p_has_xattr @ F @ is_not_working_paper @ yes ) ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_citizenship_for_file @ K @ F ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_need_to_know_for_file @ K @ F ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_level_for_file @ K @ F ) ) @ ( bl_impl @ ( bl_atom @ ( admin_indi_has_compartments_for_file @ K @ F ) ) @ ( bl_atom @ ( may @ K @ F @ read ) ) ) ) ) ) ) ) ) ) ) ).
thf(ax41,axiom,
( bl_valid
@ ( bl_says @ admin
@ ( bl_all
@ ^ [K: individuals] :
( bl_all
@ ^ [F: individuals] :
( bl_all
@ ^ [K1: individuals] : ( bl_impl @ ( bl_says @ loca @ ( bl_atom @ ( p_owner @ F @ K1 ) ) ) @ ( bl_impl @ ( bl_says @ system @ ( bl_atom @ ( system_indi_is_counterintelligence @ K @ K1 ) ) ) @ ( bl_atom @ ( may @ K @ F @ read ) ) ) ) ) ) ) ) ) ).
thf(ax42,axiom,
bl_valid @ ( bl_says @ system @ ( bl_atom @ ( system_indi_is_oca @ oca ) ) ) ).
thf(ax43,axiom,
bl_valid @ ( bl_says @ system @ ( bl_atom @ ( system_compartment_has_sso @ compartmentb @ sso_compartmentb ) ) ) ).
thf(ax44,axiom,
bl_valid @ ( bl_says @ oca @ ( bl_atom @ ( oca_compartment_has_scg @ compartmentb @ scg_compartmentb ) ) ) ).
thf(ax45,axiom,
bl_valid @ ( bl_says @ sso_compartmentb @ ( bl_atom @ ( sso_compartment_has_scg @ compartmentb @ scg_compartmentb ) ) ) ).
thf(ax46,axiom,
bl_valid @ ( bl_says @ system @ ( bl_atom @ ( system_compartment_has_sso @ compartmenta @ sso_compartmenta ) ) ) ).
thf(ax47,axiom,
bl_valid @ ( bl_says @ oca @ ( bl_atom @ ( oca_compartment_has_scg @ compartmenta @ scg_compartmenta ) ) ) ).
thf(ax48,axiom,
bl_valid @ ( bl_says @ sso_compartmenta @ ( bl_atom @ ( sso_compartment_has_scg @ compartmenta @ scg_compartmenta ) ) ) ).
thf(ax49,axiom,
bl_valid @ ( bl_says @ loca @ ( bl_atom @ ( p_has_xattr @ secretfile @ is_not_working_paper @ yes ) ) ) ).
thf(ax50,axiom,
bl_valid @ ( bl_says @ system @ ( bl_atom @ ( system_file_needs_compartments @ secretfile @ ( cons @ compartmentb @ ( cons @ compartmenta @ nil ) ) ) ) ) ).
thf(ax51,axiom,
bl_valid @ ( bl_says @ sso_compartmentb @ ( bl_atom @ ( sso_file_has_compartments @ secretfile @ ( cons @ compartmentb @ ( cons @ compartmenta @ nil ) ) ) ) ) ).
thf(ax52,axiom,
bl_valid @ ( bl_says @ sso_compartmenta @ ( bl_atom @ ( sso_file_has_compartments @ secretfile @ ( cons @ compartmentb @ ( cons @ compartmenta @ nil ) ) ) ) ) ).
thf(ax53,axiom,
bl_valid @ ( bl_says @ loca @ ( bl_atom @ ( p_has_xattr @ not_secretfile @ is_not_working_paper @ yes ) ) ) ).
thf(ax54,axiom,
bl_valid @ ( bl_says @ system @ ( bl_atom @ ( system_file_needs_compartments @ not_secretfile @ nil ) ) ) ).
thf(ax55,axiom,
bl_valid @ ( bl_says @ system @ ( bl_atom @ ( system_file_needs_level @ secretfile @ secret ) ) ) ).
thf(ax56,axiom,
bl_valid @ ( bl_says @ sso_compartmentb @ ( bl_atom @ ( sso_file_has_level @ secretfile @ secret @ scg_compartmentb ) ) ) ).
thf(ax57,axiom,
bl_valid @ ( bl_says @ sso_compartmenta @ ( bl_atom @ ( sso_file_has_level @ secretfile @ secret @ scg_compartmenta ) ) ) ).
thf(ax58,axiom,
bl_valid @ ( bl_says @ system @ ( bl_atom @ ( system_file_needs_level @ not_secretfile @ unclassified ) ) ) ).
thf(ax59,axiom,
bl_valid @ ( bl_says @ system @ ( bl_atom @ ( system_file_needs_citizenship @ secretfile @ usa ) ) ) ).
thf(ax60,axiom,
bl_valid @ ( bl_says @ sso_compartmentb @ ( bl_atom @ ( sso_file_has_citizenship @ secretfile @ usa @ scg_compartmentb ) ) ) ).
thf(ax61,axiom,
bl_valid @ ( bl_says @ sso_compartmenta @ ( bl_atom @ ( sso_file_has_citizenship @ secretfile @ usa @ scg_compartmenta ) ) ) ).
thf(ax62,axiom,
bl_valid @ ( bl_says @ system @ ( bl_atom @ ( system_file_needs_citizenship @ not_secretfile @ anycountry ) ) ) ).
thf(ax63,axiom,
bl_valid @ ( bl_says @ system @ ( bl_atom @ ( system_indi_has_citizenship @ alice @ usa ) ) ) ).
thf(ax64,axiom,
bl_valid @ ( bl_says @ system @ ( bl_atom @ ( system_indi_has_citizenship @ babu @ india ) ) ) ).
thf(ax65,axiom,
bl_valid @ ( bl_says @ system @ ( bl_atom @ ( system_indi_is_polygraph_admin @ polygraph_admin ) ) ) ).
thf(ax66,axiom,
bl_valid @ ( bl_says @ system @ ( bl_atom @ ( system_indi_is_credit_admin @ credit_admin ) ) ) ).
thf(ax67,axiom,
bl_valid @ ( bl_says @ system @ ( bl_atom @ ( system_indi_is_background_admin @ background_admin ) ) ) ).
thf(ax68,axiom,
bl_valid @ ( bl_says @ system @ ( bl_atom @ ( system_indi_is_hr_admin @ hr_admin ) ) ) ).
thf(ax69,axiom,
bl_valid @ ( bl_says @ polygraph_admin @ ( bl_atom @ ( polygraph_admin_indi_has_polygraph @ alice ) ) ) ).
thf(ax70,axiom,
bl_valid @ ( bl_says @ credit_admin @ ( bl_atom @ ( credit_admin_indi_has_credit @ alice ) ) ) ).
thf(ax71,axiom,
bl_valid @ ( bl_says @ background_admin @ ( bl_atom @ ( background_admin_indi_has_background @ alice @ topsecret ) ) ) ).
thf(ax72,axiom,
bl_valid @ ( bl_says @ hr_admin @ ( bl_atom @ ( hr_admin_indi_has_employment @ alice ) ) ) ).
thf(ax73,axiom,
bl_valid @ ( bl_says @ system @ ( bl_atom @ ( system_indi_is_level_admin @ level_admin ) ) ) ).
thf(ax74,axiom,
bl_valid @ ( bl_says @ system @ ( bl_atom @ ( system_indi_needs_level @ alice @ secret ) ) ) ).
thf(ax75,axiom,
bl_valid @ ( bl_says @ level_admin @ ( bl_atom @ ( level_admin_indi_has_level @ alice @ topsecret ) ) ) ).
thf(ax76,axiom,
bl_valid @ ( bl_says @ system @ ( bl_atom @ ( system_indi_needs_compartment @ alice @ compartmentb ) ) ) ).
thf(ax77,axiom,
bl_valid @ ( bl_says @ system @ ( bl_atom @ ( system_indi_needs_compartment @ alice @ compartmenta ) ) ) ).
thf(ax78,axiom,
bl_valid @ ( bl_says @ sso_compartmentb @ ( bl_atom @ ( sso_indi_has_compartment @ alice @ compartmentb ) ) ) ).
thf(ax79,axiom,
bl_valid @ ( bl_says @ sso_compartmenta @ ( bl_atom @ ( sso_indi_has_compartment @ alice @ compartmenta ) ) ) ).
thf(ax80,axiom,
bl_valid @ ( bl_says @ oca @ ( bl_atom @ ( oca_compartment_is_compartment @ compartmentb @ confidential @ topsecret @ yes @ yes ) ) ) ).
thf(ax81,axiom,
bl_valid @ ( bl_says @ oca @ ( bl_atom @ ( oca_compartment_is_compartment @ compartmenta @ sbu @ unclassified @ no @ no ) ) ) ).
thf(ax82,axiom,
bl_valid @ ( bl_says @ loca @ ( bl_atom @ ( p_owner @ secretfile @ owner_secretfile ) ) ) ).
thf(ax83,axiom,
bl_valid @ ( bl_says @ loca @ ( bl_atom @ ( p_owner @ not_secretfile @ owner_not_secretfile ) ) ) ).
thf(ax84,axiom,
bl_valid @ ( bl_says @ owner_secretfile @ ( bl_atom @ ( owner_indi_has_need_to_know @ alice @ secretfile ) ) ) ).
thf(ax85,axiom,
bl_valid @ ( bl_says @ owner_not_secretfile @ ( bl_atom @ ( owner_indi_has_need_to_know @ alice @ not_secretfile ) ) ) ).
thf(ax86,axiom,
bl_valid @ ( bl_says @ owner_not_secretfile @ ( bl_atom @ ( owner_indi_has_need_to_know @ babu @ not_secretfile ) ) ) ).
thf(ax87,axiom,
bl_valid @ ( bl_says @ system @ ( bl_atom @ ( system_indi_is_counterintelligence @ ci @ alice ) ) ) ).
thf(alicereadsecret,conjecture,
bl_valid @ ( bl_says @ admin @ ( bl_atom @ ( may @ alice @ secretfile @ read ) ) ) ).
%------------------------------------------------------------------------------