%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SWV437+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:07:01 PM UTC 2026
% Result : Theorem 85.31s 11.12s
% Output : Proof 132.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV437+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.18 % Computer : n016.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 11:12:48 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 85.31/11.12 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-regeneralise
% 85.31/11.12
% 85.31/11.12 % SZS status Theorem
% 85.31/11.12
% 128.21/16.45 % SZS output start Proof
% 128.21/16.45 Axiom 1 (ax50): state_file_is_not_working_paper(secretfile) = true.
% 128.21/16.45 Axiom 2 (ax41): system_indi_is_oca(system, oca) = true.
% 128.21/16.45 Axiom 3 (ax60): state_file_has_owner(secretfile, owner_secretfile) = true.
% 128.21/16.45 Axiom 4 (ax66): system_indi_is_polygraph_admin(system, polygraph_admin) = true.
% 128.21/16.45 Axiom 5 (ax72): polygraph_admin_indi_has_polygraph(polygraph_admin, alice) = true.
% 128.21/16.45 Axiom 6 (ax67): system_indi_is_credit_admin(system, credit_admin) = true.
% 128.21/16.45 Axiom 7 (ax73): credit_admin_indi_has_credit(credit_admin, alice) = true.
% 128.21/16.45 Axiom 8 (ax68): system_indi_is_background_admin(system, background_admin) = true.
% 128.21/16.45 Axiom 9 (ax69): system_indi_is_hr_admin(system, hr_admin) = true.
% 128.21/16.45 Axiom 10 (ax75): hr_admin_indi_has_employment(hr_admin, alice) = true.
% 128.21/16.45 Axiom 11 (ax70): system_indi_is_level_admin(system, level_admin) = true.
% 128.21/16.45 Axiom 12 (ax4): loca_level_below(X, Y, Y) = true.
% 128.21/16.45 Axiom 13 (ax3): loca_level_direct_below(X, secret, topsecret) = true.
% 128.21/16.45 Axiom 14 (ax1): loca_level_direct_below(X, sbu, confidential) = true.
% 128.21/16.45 Axiom 15 (ax2): loca_level_direct_below(X, confidential, secret) = true.
% 128.21/16.45 Axiom 16 (ax19): admin_indi_has_background(admin, X, unclassified) = true.
% 128.21/16.45 Axiom 17 (ax26): admin_indi_has_compartments(admin, X, nil) = true.
% 128.21/16.45 Axiom 18 (ax82): owner_indi_has_need_to_know(owner_secretfile, alice, secretfile) = true.
% 128.21/16.45 Axiom 19 (ax44): system_compartment_has_sso(system, compartmentb, sso_compartmentb) = true.
% 128.21/16.45 Axiom 20 (ax47): system_compartment_has_sso(system, compartmenta, sso_compartmenta) = true.
% 128.21/16.45 Axiom 21 (ax45): oca_compartment_has_scg(oca, compartmentb, scg_compartmentb) = true.
% 128.21/16.45 Axiom 22 (ax48): oca_compartment_has_scg(oca, compartmenta, scg_compartmenta) = true.
% 128.21/16.45 Axiom 23 (ax46): sso_compartment_has_scg(sso_compartmentb, compartmentb, scg_compartmentb) = true.
% 128.21/16.45 Axiom 24 (ax49): sso_compartment_has_scg(sso_compartmenta, compartmenta, scg_compartmenta) = true.
% 128.21/16.45 Axiom 25 (ax54): system_file_needs_level(system, secretfile, secret) = true.
% 128.21/16.45 Axiom 26 (ax71): system_indi_has_citizenship(system, alice, usa) = true.
% 128.21/16.45 Axiom 27 (ax78): system_indi_needs_compartment(system, alice, compartmentb) = true.
% 128.21/16.45 Axiom 28 (ax79): system_indi_needs_compartment(system, alice, compartmenta) = true.
% 128.21/16.45 Axiom 29 (ax80): sso_indi_has_compartment(sso_compartmentb, alice, compartmentb) = true.
% 128.21/16.45 Axiom 30 (ax81): sso_indi_has_compartment(sso_compartmenta, alice, compartmenta) = true.
% 128.21/16.45 Axiom 31 (ax74): background_admin_indi_has_background(background_admin, alice, topsecret) = true.
% 128.21/16.45 Axiom 32 (ax76): system_indi_needs_level(system, alice, secret) = true.
% 128.21/16.45 Axiom 33 (ax77): level_admin_indi_has_level(level_admin, alice, topsecret) = true.
% 128.21/16.45 Axiom 34 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 128.21/16.45 Axiom 35 (ax9): admin_file_has_compartments_h(admin, X, Y, nil) = true.
% 128.21/16.45 Axiom 36 (ax12): admin_file_has_level_h(admin, X, Y, nil) = true.
% 128.21/16.45 Axiom 37 (ax55): sso_file_has_level(sso_compartmentb, secretfile, secret, scg_compartmentb) = true.
% 128.21/16.45 Axiom 38 (ax56): sso_file_has_level(sso_compartmenta, secretfile, secret, scg_compartmenta) = true.
% 128.21/16.45 Axiom 39 (ax42): oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes) = true.
% 128.21/16.45 Axiom 40 (ax43): oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no) = true.
% 128.21/16.45 Axiom 41 (ax51): system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))) = true.
% 128.21/16.45 Axiom 42 (ax52): sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))) = true.
% 128.21/16.45 Axiom 43 (ax53): sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil))) = true.
% 128.21/16.45 Axiom 44 (ax38): ifeq(admin_indi_has_citizenship(admin, X, usa), true, admin_indi_has_citizenship_for_file(admin, X, Y), true) = true.
% 128.21/16.46 Axiom 45 (ax6): ifeq(system_compartment_has_sso(system, X, Y), true, admin_compartment_has_sso(admin, X, Y), true) = true.
% 128.21/16.46 Axiom 46 (ax23): ifeq(system_indi_has_citizenship(system, X, Y), true, admin_indi_has_citizenship(admin, X, Y), true) = true.
% 128.21/16.46 Axiom 47 (ax17): ifeq(polygraph_admin_indi_has_polygraph(X, Y), true, ifeq(system_indi_is_polygraph_admin(system, X), true, admin_indi_has_polygraph(admin, Y), true), true) = true.
% 128.21/16.46 Axiom 48 (ax18): ifeq(credit_admin_indi_has_credit(X, Y), true, ifeq(system_indi_is_credit_admin(system, X), true, admin_indi_has_credit(admin, Y), true), true) = true.
% 128.21/16.46 Axiom 49 (ax21): ifeq(hr_admin_indi_has_employment(X, Y), true, ifeq(system_indi_is_hr_admin(system, X), true, admin_indi_has_employment(admin, Y), true), true) = true.
% 128.21/16.46 Axiom 50 (ax36): ifeq(owner_indi_has_need_to_know(X, Y, Z), true, ifeq(state_file_has_owner(Z, X), true, admin_indi_has_need_to_know_for_file(admin, Y, Z), true), true) = true.
% 128.21/16.46 Axiom 51 (ax5): ifeq(loca_level_below(X, Y, Z), true, ifeq(loca_level_direct_below(X, Z, W), true, loca_level_below(X, Y, W), true), true) = true.
% 128.21/16.46 Axiom 52 (ax35): ifeq(admin_indi_has_level(admin, X, Y), true, ifeq(admin_file_has_level(admin, Z, Y), true, admin_indi_has_level_for_file(admin, X, Z), true), true) = true.
% 128.21/16.46 Axiom 53 (ax34): ifeq(admin_indi_has_compartments(admin, X, Y), true, ifeq(admin_file_has_compartments(admin, Z, Y), true, admin_indi_has_compartments_for_file(admin, X, Z), true), true) = true.
% 128.21/16.46 Axiom 54 (ax8): ifeq(admin_file_has_compartments_h(admin, X, Y, Y), true, ifeq(system_file_needs_compartments(system, X, Y), true, admin_file_has_compartments(admin, X, Y), true), true) = true.
% 128.21/16.46 Axiom 55 (ax31): ifeq(oca_compartment_is_compartment(X, Y, Z, W, V, no), true, ifeq(system_indi_is_oca(system, X), true, admin_indi_has_polygraph_for_compartment(admin, U, Y), true), true) = true.
% 128.21/16.46 Axiom 56 (ax33): ifeq(oca_compartment_is_compartment(X, Y, Z, W, no, V), true, ifeq(system_indi_is_oca(system, X), true, admin_indi_has_credit_for_compartment(admin, U, Y), true), true) = true.
% 128.21/16.46 Axiom 57 (ax20): ifeq(background_admin_indi_has_background(X, Y, Z), true, ifeq(system_indi_is_background_admin(system, X), true, ifeq(loca_level_below(admin, W, Z), true, admin_indi_has_background(admin, Y, W), true), true), true) = true.
% 128.21/16.46 Axiom 58 (ax11): ifeq(admin_file_has_level_h(admin, X, Y, Z), true, ifeq(system_file_needs_level(system, X, Y), true, ifeq(admin_file_has_compartments(admin, X, Z), true, admin_file_has_level(admin, X, Y), true), true), true) = true.
% 128.21/16.46 Axiom 59 (ax30): ifeq(oca_compartment_is_compartment(X, Y, Z, W, V, yes), true, ifeq(admin_indi_has_polygraph(admin, U), true, ifeq(system_indi_is_oca(system, X), true, admin_indi_has_polygraph_for_compartment(admin, U, Y), true), true), true) = true.
% 128.21/16.46 Axiom 60 (ax32): ifeq(oca_compartment_is_compartment(X, Y, Z, W, yes, V), true, ifeq(admin_indi_has_credit(admin, U), true, ifeq(system_indi_is_oca(system, X), true, admin_indi_has_credit_for_compartment(admin, U, Y), true), true), true) = true.
% 128.21/16.46 Axiom 61 (ax28): ifeq(oca_compartment_is_compartment(X, Y, Z, W, V, U), true, ifeq(admin_indi_has_background(admin, T, W), true, ifeq(system_indi_is_oca(system, X), true, admin_indi_has_background_for_compartment(admin, T, Y), true), true), true) = true.
% 128.21/16.46 Axiom 62 (ax29): ifeq(oca_compartment_is_compartment(X, Y, Z, W, V, U), true, ifeq(admin_indi_has_level(admin, T, Z), true, ifeq(system_indi_is_oca(system, X), true, admin_indi_has_level_for_compartment(admin, T, Y), true), true), true) = true.
% 128.21/16.46 Axiom 63 (ax10): ifeq(sso_file_has_compartments(X, Y, Z), true, ifeq(admin_file_has_compartments_h(admin, Y, Z, W), true, ifeq(admin_compartment_has_sso(admin, V, X), true, admin_file_has_compartments_h(admin, Y, Z, cons(V, W)), true), true), true) = true.
% 128.21/16.46 Axiom 64 (ax7): ifeq(sso_compartment_has_scg(X, Y, Z), true, ifeq(oca_compartment_has_scg(W, Y, Z), true, ifeq(system_indi_is_oca(system, W), true, ifeq(admin_compartment_has_sso(admin, Y, X), true, admin_compartment_has_scg(admin, Y, Z), true), true), true), true) = true.
% 128.21/16.46 Axiom 65 (ax39): ifeq(state_file_is_not_working_paper(X), true, ifeq(admin_indi_has_citizenship_for_file(admin, Y, X), true, ifeq(admin_indi_has_need_to_know_for_file(admin, Y, X), true, ifeq(admin_indi_has_level_for_file(admin, Y, X), true, ifeq(admin_indi_has_compartments_for_file(admin, Y, X), true, admin_indi_may_file(admin, Y, X, read), true), true), true), true), true) = true.
% 128.21/16.46 Axiom 66 (ax13): ifeq(sso_file_has_level(X, Y, Z, W), true, ifeq(admin_file_has_level_h(admin, Y, Z, V), true, ifeq(admin_compartment_has_scg(admin, U, W), true, ifeq(admin_compartment_has_sso(admin, U, X), true, admin_file_has_level_h(admin, Y, Z, cons(U, V)), true), true), true), true) = true.
% 128.21/16.46 Axiom 67 (ax25): ifeq(level_admin_indi_has_level(X, Y, Z), true, ifeq(system_indi_is_level_admin(system, X), true, ifeq(system_indi_needs_level(system, Y, W), true, ifeq(admin_indi_has_citizenship(admin, Y, usa), true, ifeq(admin_indi_has_employment(admin, Y), true, ifeq(admin_indi_has_background(admin, Y, V), true, ifeq(admin_indi_has_credit(admin, Y), true, ifeq(admin_indi_has_polygraph(admin, Y), true, ifeq(loca_level_below(admin, V, Z), true, ifeq(loca_level_below(admin, V, W), true, admin_indi_has_level(admin, Y, V), true), true), true), true), true), true), true), true), true), true) = true.
% 129.00/16.54 Axiom 68 (ax27): ifeq(admin_indi_has_level_for_compartment(admin, X, Y), true, ifeq(admin_indi_has_background_for_compartment(admin, X, Y), true, ifeq(sso_indi_has_compartment(Z, X, Y), true, ifeq(admin_indi_has_credit_for_compartment(admin, X, Y), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, X, Y), true, ifeq(system_indi_needs_compartment(system, X, Y), true, ifeq(admin_indi_has_compartments(admin, X, W), true, ifeq(admin_indi_has_citizenship(admin, X, usa), true, ifeq(admin_indi_has_employment(admin, X), true, ifeq(admin_compartment_has_sso(admin, Y, Z), true, admin_indi_has_compartments(admin, X, cons(Y, W)), true), true), true), true), true), true), true), true), true), true) = true.
% 129.00/16.54
% 129.00/16.54 Goal 1 (alicereadsecret): admin_indi_may_file(admin, alice, secretfile, read) = true.
% 129.00/16.54 Proof:
% 129.00/16.54 admin_indi_may_file(admin, alice, secretfile, read)
% 129.00/16.54 = { by axiom 34 (ifeq_axiom) R->L }
% 129.00/16.54 ifeq(true, true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.54 = { by axiom 53 (ax34) R->L }
% 129.00/16.55 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.55 = { by axiom 34 (ifeq_axiom) R->L }
% 129.00/16.55 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(true, true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.55 = { by axiom 41 (ax51) R->L }
% 129.00/16.55 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.55 = { by axiom 34 (ifeq_axiom) R->L }
% 129.00/16.55 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(true, true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.55 = { by axiom 63 (ax10) R->L }
% 129.00/16.55 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.55 = { by axiom 34 (ifeq_axiom) R->L }
% 129.00/16.55 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true, ifeq(ifeq(true, true, admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.55 = { by axiom 19 (ax44) R->L }
% 129.00/16.55 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true, ifeq(ifeq(system_compartment_has_sso(system, compartmentb, sso_compartmentb), true, admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.55 = { by axiom 45 (ax6) }
% 129.00/16.56 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true, ifeq(true, true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.56 = { by axiom 34 (ifeq_axiom) }
% 129.00/16.56 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.56 = { by axiom 34 (ifeq_axiom) R->L }
% 129.00/16.56 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(true, true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.56 = { by axiom 43 (ax53) R->L }
% 129.00/16.56 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.56 = { by axiom 34 (ifeq_axiom) R->L }
% 129.00/16.56 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(true, true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.57 = { by axiom 45 (ax6) R->L }
% 129.00/16.57 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(system_compartment_has_sso(system, compartmenta, sso_compartmenta), true, admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.57 = { by axiom 20 (ax47) }
% 129.00/16.57 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(true, true, admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.57 = { by axiom 34 (ifeq_axiom) }
% 129.00/16.57 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.57 = { by axiom 34 (ifeq_axiom) R->L }
% 129.00/16.57 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(true, true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true), true), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.57 = { by axiom 35 (ax9) R->L }
% 129.00/16.57 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), nil), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true), true), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.57 = { by axiom 63 (ax10) }
% 129.00/16.57 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(true, true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.58 = { by axiom 42 (ax52) }
% 129.00/16.58 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(true, true, ifeq(true, true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.58 = { by axiom 34 (ifeq_axiom) }
% 129.00/16.58 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(true, true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.58 = { by axiom 34 (ifeq_axiom) }
% 129.00/16.58 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.58 = { by axiom 54 (ax8) }
% 129.00/16.58 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(true, true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.58 = { by axiom 34 (ifeq_axiom) }
% 129.00/16.58 ifeq(ifeq(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.58 = { by axiom 34 (ifeq_axiom) R->L }
% 129.00/16.58 ifeq(ifeq(ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.58 = { by axiom 34 (ifeq_axiom) R->L }
% 129.00/16.58 ifeq(ifeq(ifeq(true, true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.58 = { by axiom 62 (ax29) R->L }
% 129.00/16.58 ifeq(ifeq(ifeq(ifeq(oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes), true, ifeq(admin_indi_has_level(admin, alice, confidential), true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.58 = { by axiom 39 (ax42) }
% 129.00/16.58 ifeq(ifeq(ifeq(ifeq(true, true, ifeq(admin_indi_has_level(admin, alice, confidential), true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.58 = { by axiom 34 (ifeq_axiom) }
% 129.00/16.58 ifeq(ifeq(ifeq(ifeq(admin_indi_has_level(admin, alice, confidential), true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.58 = { by axiom 2 (ax41) }
% 129.00/16.58 ifeq(ifeq(ifeq(ifeq(admin_indi_has_level(admin, alice, confidential), true, ifeq(true, true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.58 = { by axiom 34 (ifeq_axiom) }
% 129.00/16.58 ifeq(ifeq(ifeq(ifeq(admin_indi_has_level(admin, alice, confidential), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.58 = { by axiom 34 (ifeq_axiom) R->L }
% 129.00/16.58 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.58 = { by axiom 34 (ifeq_axiom) R->L }
% 129.00/16.58 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.59 = { by axiom 51 (ax5) R->L }
% 129.00/16.59 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, confidential, secret), true, ifeq(loca_level_direct_below(admin, secret, topsecret), true, loca_level_below(admin, confidential, topsecret), true), true), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.59 = { by axiom 13 (ax3) }
% 129.00/16.59 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, confidential, secret), true, ifeq(true, true, loca_level_below(admin, confidential, topsecret), true), true), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.59 = { by axiom 34 (ifeq_axiom) }
% 129.00/16.59 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, confidential, secret), true, loca_level_below(admin, confidential, topsecret), true), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.59 = { by axiom 34 (ifeq_axiom) R->L }
% 129.00/16.59 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, loca_level_below(admin, confidential, secret), true), true, loca_level_below(admin, confidential, topsecret), true), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.59 = { by axiom 15 (ax2) R->L }
% 129.00/16.59 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_direct_below(admin, confidential, secret), true, loca_level_below(admin, confidential, secret), true), true, loca_level_below(admin, confidential, topsecret), true), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.59 = { by axiom 34 (ifeq_axiom) R->L }
% 129.00/16.59 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(loca_level_direct_below(admin, confidential, secret), true, loca_level_below(admin, confidential, secret), true), true), true, loca_level_below(admin, confidential, topsecret), true), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.59 = { by axiom 12 (ax4) R->L }
% 129.00/16.59 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, confidential, confidential), true, ifeq(loca_level_direct_below(admin, confidential, secret), true, loca_level_below(admin, confidential, secret), true), true), true, loca_level_below(admin, confidential, topsecret), true), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.59 = { by axiom 51 (ax5) }
% 129.00/16.59 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, loca_level_below(admin, confidential, topsecret), true), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.59 = { by axiom 34 (ifeq_axiom) }
% 129.00/16.59 ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.60 = { by axiom 34 (ifeq_axiom) R->L }
% 129.00/16.60 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.60 = { by axiom 57 (ax20) R->L }
% 129.00/16.60 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(background_admin_indi_has_background(background_admin, alice, topsecret), true, ifeq(system_indi_is_background_admin(system, background_admin), true, ifeq(loca_level_below(admin, confidential, topsecret), true, admin_indi_has_background(admin, alice, confidential), true), true), true), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.00/16.60 = { by axiom 31 (ax74) }
% 129.00/16.60 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(system_indi_is_background_admin(system, background_admin), true, ifeq(loca_level_below(admin, confidential, topsecret), true, admin_indi_has_background(admin, alice, confidential), true), true), true), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.60 = { by axiom 34 (ifeq_axiom) }
% 129.78/16.60 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_is_background_admin(system, background_admin), true, ifeq(loca_level_below(admin, confidential, topsecret), true, admin_indi_has_background(admin, alice, confidential), true), true), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.60 = { by axiom 8 (ax68) }
% 129.78/16.60 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(loca_level_below(admin, confidential, topsecret), true, admin_indi_has_background(admin, alice, confidential), true), true), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.60 = { by axiom 34 (ifeq_axiom) }
% 129.78/16.60 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, confidential, topsecret), true, admin_indi_has_background(admin, alice, confidential), true), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.60 = { by axiom 34 (ifeq_axiom) R->L }
% 129.78/16.60 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, loca_level_below(admin, confidential, topsecret), true), true, admin_indi_has_background(admin, alice, confidential), true), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.60 = { by axiom 51 (ax5) R->L }
% 129.78/16.60 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, confidential, confidential), true, ifeq(loca_level_direct_below(admin, confidential, secret), true, loca_level_below(admin, confidential, secret), true), true), true, loca_level_below(admin, confidential, topsecret), true), true, admin_indi_has_background(admin, alice, confidential), true), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.60 = { by axiom 12 (ax4) }
% 129.78/16.60 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(loca_level_direct_below(admin, confidential, secret), true, loca_level_below(admin, confidential, secret), true), true), true, loca_level_below(admin, confidential, topsecret), true), true, admin_indi_has_background(admin, alice, confidential), true), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.60 = { by axiom 34 (ifeq_axiom) }
% 129.78/16.61 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_direct_below(admin, confidential, secret), true, loca_level_below(admin, confidential, secret), true), true, loca_level_below(admin, confidential, topsecret), true), true, admin_indi_has_background(admin, alice, confidential), true), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.61 = { by axiom 15 (ax2) }
% 129.78/16.61 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, loca_level_below(admin, confidential, secret), true), true, loca_level_below(admin, confidential, topsecret), true), true, admin_indi_has_background(admin, alice, confidential), true), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.61 = { by axiom 34 (ifeq_axiom) }
% 129.78/16.61 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, confidential, secret), true, loca_level_below(admin, confidential, topsecret), true), true, admin_indi_has_background(admin, alice, confidential), true), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.61 = { by axiom 34 (ifeq_axiom) R->L }
% 129.78/16.61 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, confidential, secret), true, ifeq(true, true, loca_level_below(admin, confidential, topsecret), true), true), true, admin_indi_has_background(admin, alice, confidential), true), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.61 = { by axiom 13 (ax3) R->L }
% 129.78/16.61 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, confidential, secret), true, ifeq(loca_level_direct_below(admin, secret, topsecret), true, loca_level_below(admin, confidential, topsecret), true), true), true, admin_indi_has_background(admin, alice, confidential), true), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.61 = { by axiom 51 (ax5) }
% 129.78/16.61 ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, admin_indi_has_background(admin, alice, confidential), true), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.61 = { by axiom 34 (ifeq_axiom) }
% 129.78/16.61 ifeq(ifeq(ifeq(ifeq(ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.61 = { by axiom 34 (ifeq_axiom) R->L }
% 129.78/16.61 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.62 = { by axiom 32 (ax76) R->L }
% 129.78/16.62 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.62 = { by axiom 51 (ax5) R->L }
% 129.78/16.62 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(ifeq(loca_level_below(admin, confidential, confidential), true, ifeq(loca_level_direct_below(admin, confidential, secret), true, loca_level_below(admin, confidential, secret), true), true), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.62 = { by axiom 12 (ax4) }
% 129.78/16.62 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(ifeq(true, true, ifeq(loca_level_direct_below(admin, confidential, secret), true, loca_level_below(admin, confidential, secret), true), true), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.62 = { by axiom 34 (ifeq_axiom) }
% 129.78/16.62 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(ifeq(loca_level_direct_below(admin, confidential, secret), true, loca_level_below(admin, confidential, secret), true), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.62 = { by axiom 15 (ax2) }
% 129.78/16.62 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(ifeq(true, true, loca_level_below(admin, confidential, secret), true), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.62 = { by axiom 34 (ifeq_axiom) }
% 129.78/16.64 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.64 = { by axiom 34 (ifeq_axiom) R->L }
% 129.78/16.64 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(true, true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.64 = { by axiom 47 (ax17) R->L }
% 129.78/16.64 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(ifeq(polygraph_admin_indi_has_polygraph(polygraph_admin, alice), true, ifeq(system_indi_is_polygraph_admin(system, polygraph_admin), true, admin_indi_has_polygraph(admin, alice), true), true), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.64 = { by axiom 5 (ax72) }
% 129.78/16.64 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(ifeq(true, true, ifeq(system_indi_is_polygraph_admin(system, polygraph_admin), true, admin_indi_has_polygraph(admin, alice), true), true), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.64 = { by axiom 34 (ifeq_axiom) }
% 129.78/16.64 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(ifeq(system_indi_is_polygraph_admin(system, polygraph_admin), true, admin_indi_has_polygraph(admin, alice), true), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.64 = { by axiom 4 (ax66) }
% 129.78/16.64 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(ifeq(true, true, admin_indi_has_polygraph(admin, alice), true), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.64 = { by axiom 34 (ifeq_axiom) }
% 129.78/16.64 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.64 = { by axiom 34 (ifeq_axiom) R->L }
% 129.78/16.64 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(true, true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.64 = { by axiom 48 (ax18) R->L }
% 129.78/16.64 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(ifeq(credit_admin_indi_has_credit(credit_admin, alice), true, ifeq(system_indi_is_credit_admin(system, credit_admin), true, admin_indi_has_credit(admin, alice), true), true), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.65 = { by axiom 7 (ax73) }
% 129.78/16.65 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(ifeq(true, true, ifeq(system_indi_is_credit_admin(system, credit_admin), true, admin_indi_has_credit(admin, alice), true), true), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.65 = { by axiom 34 (ifeq_axiom) }
% 129.78/16.65 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(ifeq(system_indi_is_credit_admin(system, credit_admin), true, admin_indi_has_credit(admin, alice), true), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.65 = { by axiom 6 (ax67) }
% 129.78/16.65 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(ifeq(true, true, admin_indi_has_credit(admin, alice), true), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.65 = { by axiom 34 (ifeq_axiom) }
% 129.78/16.65 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.65 = { by axiom 34 (ifeq_axiom) R->L }
% 129.78/16.65 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(true, true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.65 = { by axiom 49 (ax21) R->L }
% 129.78/16.65 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(hr_admin_indi_has_employment(hr_admin, alice), true, ifeq(system_indi_is_hr_admin(system, hr_admin), true, admin_indi_has_employment(admin, alice), true), true), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.65 = { by axiom 10 (ax75) }
% 129.78/16.65 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(true, true, ifeq(system_indi_is_hr_admin(system, hr_admin), true, admin_indi_has_employment(admin, alice), true), true), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.65 = { by axiom 34 (ifeq_axiom) }
% 129.78/16.65 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(system_indi_is_hr_admin(system, hr_admin), true, admin_indi_has_employment(admin, alice), true), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.66 = { by axiom 9 (ax69) }
% 129.78/16.66 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(true, true, admin_indi_has_employment(admin, alice), true), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.66 = { by axiom 34 (ifeq_axiom) }
% 129.78/16.66 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.66 = { by axiom 34 (ifeq_axiom) R->L }
% 129.78/16.66 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(true, true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.66 = { by axiom 46 (ax23) R->L }
% 129.78/16.66 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(system_indi_has_citizenship(system, alice, usa), true, admin_indi_has_citizenship(admin, alice, usa), true), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.66 = { by axiom 26 (ax71) }
% 129.78/16.66 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(true, true, admin_indi_has_citizenship(admin, alice, usa), true), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.66 = { by axiom 34 (ifeq_axiom) }
% 129.78/16.66 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.66 = { by axiom 34 (ifeq_axiom) R->L }
% 129.78/16.66 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.66 = { by axiom 11 (ax70) R->L }
% 129.78/16.66 ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_is_level_admin(system, level_admin), true, ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.66 = { by axiom 34 (ifeq_axiom) R->L }
% 129.78/16.66 ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(system_indi_is_level_admin(system, level_admin), true, ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.66 = { by axiom 33 (ax77) R->L }
% 129.78/16.66 ifeq(ifeq(ifeq(ifeq(ifeq(level_admin_indi_has_level(level_admin, alice, topsecret), true, ifeq(system_indi_is_level_admin(system, level_admin), true, ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, confidential), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, confidential, topsecret), true, ifeq(loca_level_below(admin, confidential, secret), true, admin_indi_has_level(admin, alice, confidential), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.67 = { by axiom 67 (ax25) }
% 129.78/16.67 ifeq(ifeq(ifeq(ifeq(true, true, admin_indi_has_level_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.67 = { by axiom 34 (ifeq_axiom) }
% 129.78/16.67 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.67 = { by axiom 68 (ax27) R->L }
% 129.78/16.67 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_background_for_compartment(admin, alice, compartmenta), true, ifeq(sso_indi_has_compartment(sso_compartmenta, alice, compartmenta), true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta), true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.67 = { by axiom 30 (ax81) }
% 129.78/16.67 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_background_for_compartment(admin, alice, compartmenta), true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta), true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.67 = { by axiom 34 (ifeq_axiom) R->L }
% 129.78/16.67 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(ifeq(true, true, admin_indi_has_background_for_compartment(admin, alice, compartmenta), true), true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta), true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.67 = { by axiom 2 (ax41) R->L }
% 129.78/16.67 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_background_for_compartment(admin, alice, compartmenta), true), true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta), true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.67 = { by axiom 34 (ifeq_axiom) R->L }
% 129.78/16.67 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(ifeq(true, true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_background_for_compartment(admin, alice, compartmenta), true), true), true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta), true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.67 = { by axiom 16 (ax19) R->L }
% 129.78/16.67 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(ifeq(admin_indi_has_background(admin, alice, unclassified), true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_background_for_compartment(admin, alice, compartmenta), true), true), true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta), true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.68 = { by axiom 34 (ifeq_axiom) R->L }
% 129.78/16.68 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(ifeq(true, true, ifeq(admin_indi_has_background(admin, alice, unclassified), true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_background_for_compartment(admin, alice, compartmenta), true), true), true), true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta), true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.68 = { by axiom 40 (ax43) R->L }
% 129.78/16.68 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(ifeq(oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no), true, ifeq(admin_indi_has_background(admin, alice, unclassified), true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_background_for_compartment(admin, alice, compartmenta), true), true), true), true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta), true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.68 = { by axiom 61 (ax28) }
% 129.78/16.68 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(true, true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta), true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.68 = { by axiom 34 (ifeq_axiom) }
% 129.78/16.68 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta), true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.68 = { by axiom 34 (ifeq_axiom) }
% 129.78/16.68 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta), true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.68 = { by axiom 34 (ifeq_axiom) R->L }
% 129.78/16.68 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(ifeq(true, true, admin_indi_has_credit_for_compartment(admin, alice, compartmenta), true), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta), true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.68 = { by axiom 2 (ax41) R->L }
% 129.78/16.68 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_credit_for_compartment(admin, alice, compartmenta), true), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta), true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.68 = { by axiom 34 (ifeq_axiom) R->L }
% 129.78/16.69 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(ifeq(true, true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_credit_for_compartment(admin, alice, compartmenta), true), true), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta), true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.69 = { by axiom 40 (ax43) R->L }
% 129.78/16.69 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(ifeq(oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no), true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_credit_for_compartment(admin, alice, compartmenta), true), true), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta), true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.69 = { by axiom 56 (ax33) }
% 129.78/16.69 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(true, true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta), true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.69 = { by axiom 34 (ifeq_axiom) }
% 129.78/16.69 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta), true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.69 = { by axiom 34 (ifeq_axiom) R->L }
% 129.78/16.69 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(ifeq(true, true, admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta), true), true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.69 = { by axiom 2 (ax41) R->L }
% 129.78/16.69 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta), true), true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.69 = { by axiom 34 (ifeq_axiom) R->L }
% 129.78/16.69 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(ifeq(true, true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta), true), true), true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.69 = { by axiom 40 (ax43) R->L }
% 129.78/16.69 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(ifeq(oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no), true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta), true), true), true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.69 = { by axiom 55 (ax31) }
% 129.78/16.70 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(true, true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.70 = { by axiom 34 (ifeq_axiom) }
% 129.78/16.70 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(system_indi_needs_compartment(system, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.70 = { by axiom 28 (ax79) }
% 129.78/16.70 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(true, true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.70 = { by axiom 34 (ifeq_axiom) }
% 129.78/16.70 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.70 = { by axiom 34 (ifeq_axiom) R->L }
% 129.78/16.70 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(ifeq(true, true, admin_indi_has_citizenship(admin, alice, usa), true), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 129.78/16.70 = { by axiom 26 (ax71) R->L }
% 130.59/16.70 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(ifeq(system_indi_has_citizenship(system, alice, usa), true, admin_indi_has_citizenship(admin, alice, usa), true), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.70 = { by axiom 46 (ax23) }
% 130.59/16.70 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(true, true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.70 = { by axiom 34 (ifeq_axiom) }
% 130.59/16.70 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.70 = { by axiom 34 (ifeq_axiom) R->L }
% 130.59/16.70 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(ifeq(true, true, admin_indi_has_employment(admin, alice), true), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.70 = { by axiom 9 (ax69) R->L }
% 130.59/16.70 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(ifeq(system_indi_is_hr_admin(system, hr_admin), true, admin_indi_has_employment(admin, alice), true), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.70 = { by axiom 34 (ifeq_axiom) R->L }
% 130.59/16.71 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(ifeq(true, true, ifeq(system_indi_is_hr_admin(system, hr_admin), true, admin_indi_has_employment(admin, alice), true), true), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.71 = { by axiom 10 (ax75) R->L }
% 130.59/16.71 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(ifeq(hr_admin_indi_has_employment(hr_admin, alice), true, ifeq(system_indi_is_hr_admin(system, hr_admin), true, admin_indi_has_employment(admin, alice), true), true), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.71 = { by axiom 49 (ax21) }
% 130.59/16.71 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(true, true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.71 = { by axiom 34 (ifeq_axiom) }
% 130.59/16.71 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.71 = { by axiom 34 (ifeq_axiom) R->L }
% 130.59/16.71 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(ifeq(true, true, admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.71 = { by axiom 20 (ax47) R->L }
% 130.59/16.71 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(ifeq(system_compartment_has_sso(system, compartmenta, sso_compartmenta), true, admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.71 = { by axiom 45 (ax6) }
% 130.59/16.71 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.71 = { by axiom 34 (ifeq_axiom) }
% 130.59/16.71 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(admin_indi_has_compartments(admin, alice, nil), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.71 = { by axiom 17 (ax26) }
% 130.59/16.71 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.71 = { by axiom 34 (ifeq_axiom) }
% 130.59/16.71 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmenta), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.71 = { by axiom 34 (ifeq_axiom) R->L }
% 130.59/16.71 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(true, true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.71 = { by axiom 67 (ax25) R->L }
% 130.59/16.71 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(level_admin_indi_has_level(level_admin, alice, topsecret), true, ifeq(system_indi_is_level_admin(system, level_admin), true, ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.72 = { by axiom 33 (ax77) }
% 130.59/16.72 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(system_indi_is_level_admin(system, level_admin), true, ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.72 = { by axiom 34 (ifeq_axiom) }
% 130.59/16.72 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_is_level_admin(system, level_admin), true, ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.72 = { by axiom 11 (ax70) }
% 130.59/16.72 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.72 = { by axiom 34 (ifeq_axiom) }
% 130.59/16.72 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.72 = { by axiom 34 (ifeq_axiom) R->L }
% 130.59/16.72 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(true, true, admin_indi_has_citizenship(admin, alice, usa), true), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.72 = { by axiom 26 (ax71) R->L }
% 130.59/16.72 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(system_indi_has_citizenship(system, alice, usa), true, admin_indi_has_citizenship(admin, alice, usa), true), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.72 = { by axiom 46 (ax23) }
% 130.59/16.73 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(true, true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.73 = { by axiom 34 (ifeq_axiom) }
% 130.59/16.73 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.73 = { by axiom 34 (ifeq_axiom) R->L }
% 130.59/16.73 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(true, true, admin_indi_has_employment(admin, alice), true), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.73 = { by axiom 9 (ax69) R->L }
% 130.59/16.73 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(system_indi_is_hr_admin(system, hr_admin), true, admin_indi_has_employment(admin, alice), true), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.73 = { by axiom 34 (ifeq_axiom) R->L }
% 130.59/16.73 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(true, true, ifeq(system_indi_is_hr_admin(system, hr_admin), true, admin_indi_has_employment(admin, alice), true), true), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.73 = { by axiom 10 (ax75) R->L }
% 130.59/16.73 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(hr_admin_indi_has_employment(hr_admin, alice), true, ifeq(system_indi_is_hr_admin(system, hr_admin), true, admin_indi_has_employment(admin, alice), true), true), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.73 = { by axiom 49 (ax21) }
% 130.59/16.73 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(true, true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.74 = { by axiom 34 (ifeq_axiom) }
% 130.59/16.74 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.74 = { by axiom 34 (ifeq_axiom) R->L }
% 130.59/16.74 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(ifeq(true, true, admin_indi_has_credit(admin, alice), true), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.74 = { by axiom 6 (ax67) R->L }
% 130.59/16.74 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(ifeq(system_indi_is_credit_admin(system, credit_admin), true, admin_indi_has_credit(admin, alice), true), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.74 = { by axiom 34 (ifeq_axiom) R->L }
% 130.59/16.74 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(ifeq(true, true, ifeq(system_indi_is_credit_admin(system, credit_admin), true, admin_indi_has_credit(admin, alice), true), true), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.74 = { by axiom 7 (ax73) R->L }
% 130.59/16.74 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(ifeq(credit_admin_indi_has_credit(credit_admin, alice), true, ifeq(system_indi_is_credit_admin(system, credit_admin), true, admin_indi_has_credit(admin, alice), true), true), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.74 = { by axiom 48 (ax18) }
% 130.59/16.74 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(true, true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.74 = { by axiom 34 (ifeq_axiom) }
% 130.59/16.74 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.74 = { by axiom 34 (ifeq_axiom) R->L }
% 130.59/16.75 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(ifeq(true, true, admin_indi_has_polygraph(admin, alice), true), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.75 = { by axiom 4 (ax66) R->L }
% 130.59/16.75 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(ifeq(system_indi_is_polygraph_admin(system, polygraph_admin), true, admin_indi_has_polygraph(admin, alice), true), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.75 = { by axiom 34 (ifeq_axiom) R->L }
% 130.59/16.75 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(ifeq(true, true, ifeq(system_indi_is_polygraph_admin(system, polygraph_admin), true, admin_indi_has_polygraph(admin, alice), true), true), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.75 = { by axiom 5 (ax72) R->L }
% 130.59/16.75 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(ifeq(polygraph_admin_indi_has_polygraph(polygraph_admin, alice), true, ifeq(system_indi_is_polygraph_admin(system, polygraph_admin), true, admin_indi_has_polygraph(admin, alice), true), true), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.75 = { by axiom 47 (ax17) }
% 130.59/16.75 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(true, true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.75 = { by axiom 34 (ifeq_axiom) }
% 130.59/16.75 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(loca_level_below(admin, sbu, secret), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.76 = { by axiom 34 (ifeq_axiom) R->L }
% 130.59/16.76 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(ifeq(true, true, loca_level_below(admin, sbu, secret), true), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.76 = { by axiom 51 (ax5) R->L }
% 130.59/16.76 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(ifeq(ifeq(loca_level_below(admin, sbu, sbu), true, ifeq(loca_level_direct_below(admin, sbu, confidential), true, loca_level_below(admin, sbu, confidential), true), true), true, loca_level_below(admin, sbu, secret), true), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.76 = { by axiom 12 (ax4) }
% 130.59/16.76 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(ifeq(ifeq(true, true, ifeq(loca_level_direct_below(admin, sbu, confidential), true, loca_level_below(admin, sbu, confidential), true), true), true, loca_level_below(admin, sbu, secret), true), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.76 = { by axiom 34 (ifeq_axiom) }
% 130.59/16.76 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(ifeq(ifeq(loca_level_direct_below(admin, sbu, confidential), true, loca_level_below(admin, sbu, confidential), true), true, loca_level_below(admin, sbu, secret), true), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.76 = { by axiom 14 (ax1) }
% 130.59/16.76 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(ifeq(ifeq(true, true, loca_level_below(admin, sbu, confidential), true), true, loca_level_below(admin, sbu, secret), true), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.76 = { by axiom 34 (ifeq_axiom) }
% 130.59/16.76 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(ifeq(loca_level_below(admin, sbu, confidential), true, loca_level_below(admin, sbu, secret), true), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.76 = { by axiom 34 (ifeq_axiom) R->L }
% 130.59/16.76 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(ifeq(loca_level_below(admin, sbu, confidential), true, ifeq(true, true, loca_level_below(admin, sbu, secret), true), true), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.76 = { by axiom 15 (ax2) R->L }
% 130.59/16.76 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(ifeq(loca_level_below(admin, sbu, confidential), true, ifeq(loca_level_direct_below(admin, confidential, secret), true, loca_level_below(admin, sbu, secret), true), true), true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.76 = { by axiom 51 (ax5) }
% 130.59/16.76 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.76 = { by axiom 32 (ax76) }
% 130.59/16.77 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.77 = { by axiom 34 (ifeq_axiom) }
% 130.59/16.77 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(admin_indi_has_background(admin, alice, sbu), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.77 = { by axiom 34 (ifeq_axiom) R->L }
% 130.59/16.77 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, admin_indi_has_background(admin, alice, sbu), true), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.77 = { by axiom 51 (ax5) R->L }
% 130.59/16.77 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, sbu, secret), true, ifeq(loca_level_direct_below(admin, secret, topsecret), true, loca_level_below(admin, sbu, topsecret), true), true), true, admin_indi_has_background(admin, alice, sbu), true), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.77 = { by axiom 13 (ax3) }
% 130.59/16.77 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, sbu, secret), true, ifeq(true, true, loca_level_below(admin, sbu, topsecret), true), true), true, admin_indi_has_background(admin, alice, sbu), true), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.77 = { by axiom 34 (ifeq_axiom) }
% 130.59/16.77 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, sbu, secret), true, loca_level_below(admin, sbu, topsecret), true), true, admin_indi_has_background(admin, alice, sbu), true), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.77 = { by axiom 34 (ifeq_axiom) R->L }
% 130.59/16.77 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, loca_level_below(admin, sbu, secret), true), true, loca_level_below(admin, sbu, topsecret), true), true, admin_indi_has_background(admin, alice, sbu), true), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.78 = { by axiom 51 (ax5) R->L }
% 130.59/16.78 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, sbu, sbu), true, ifeq(loca_level_direct_below(admin, sbu, confidential), true, loca_level_below(admin, sbu, confidential), true), true), true, loca_level_below(admin, sbu, secret), true), true, loca_level_below(admin, sbu, topsecret), true), true, admin_indi_has_background(admin, alice, sbu), true), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.78 = { by axiom 12 (ax4) }
% 130.59/16.78 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(loca_level_direct_below(admin, sbu, confidential), true, loca_level_below(admin, sbu, confidential), true), true), true, loca_level_below(admin, sbu, secret), true), true, loca_level_below(admin, sbu, topsecret), true), true, admin_indi_has_background(admin, alice, sbu), true), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.78 = { by axiom 34 (ifeq_axiom) }
% 130.59/16.78 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_direct_below(admin, sbu, confidential), true, loca_level_below(admin, sbu, confidential), true), true, loca_level_below(admin, sbu, secret), true), true, loca_level_below(admin, sbu, topsecret), true), true, admin_indi_has_background(admin, alice, sbu), true), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.78 = { by axiom 14 (ax1) }
% 130.59/16.78 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, loca_level_below(admin, sbu, confidential), true), true, loca_level_below(admin, sbu, secret), true), true, loca_level_below(admin, sbu, topsecret), true), true, admin_indi_has_background(admin, alice, sbu), true), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.78 = { by axiom 34 (ifeq_axiom) }
% 130.59/16.78 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, sbu, confidential), true, loca_level_below(admin, sbu, secret), true), true, loca_level_below(admin, sbu, topsecret), true), true, admin_indi_has_background(admin, alice, sbu), true), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.78 = { by axiom 34 (ifeq_axiom) R->L }
% 130.59/16.78 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, sbu, confidential), true, ifeq(true, true, loca_level_below(admin, sbu, secret), true), true), true, loca_level_below(admin, sbu, topsecret), true), true, admin_indi_has_background(admin, alice, sbu), true), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.78 = { by axiom 15 (ax2) R->L }
% 130.59/16.78 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, sbu, confidential), true, ifeq(loca_level_direct_below(admin, confidential, secret), true, loca_level_below(admin, sbu, secret), true), true), true, loca_level_below(admin, sbu, topsecret), true), true, admin_indi_has_background(admin, alice, sbu), true), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.78 = { by axiom 51 (ax5) }
% 130.59/16.78 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, loca_level_below(admin, sbu, topsecret), true), true, admin_indi_has_background(admin, alice, sbu), true), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.78 = { by axiom 34 (ifeq_axiom) }
% 130.59/16.79 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, sbu, topsecret), true, admin_indi_has_background(admin, alice, sbu), true), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.79 = { by axiom 34 (ifeq_axiom) R->L }
% 130.59/16.79 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(loca_level_below(admin, sbu, topsecret), true, admin_indi_has_background(admin, alice, sbu), true), true), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.79 = { by axiom 8 (ax68) R->L }
% 130.59/16.79 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(system_indi_is_background_admin(system, background_admin), true, ifeq(loca_level_below(admin, sbu, topsecret), true, admin_indi_has_background(admin, alice, sbu), true), true), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.79 = { by axiom 34 (ifeq_axiom) R->L }
% 130.59/16.79 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(system_indi_is_background_admin(system, background_admin), true, ifeq(loca_level_below(admin, sbu, topsecret), true, admin_indi_has_background(admin, alice, sbu), true), true), true), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.79 = { by axiom 31 (ax74) R->L }
% 130.59/16.79 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(background_admin_indi_has_background(background_admin, alice, topsecret), true, ifeq(system_indi_is_background_admin(system, background_admin), true, ifeq(loca_level_below(admin, sbu, topsecret), true, admin_indi_has_background(admin, alice, sbu), true), true), true), true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.79 = { by axiom 57 (ax20) }
% 130.59/16.79 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.79 = { by axiom 34 (ifeq_axiom) }
% 130.59/16.79 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, sbu, topsecret), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.79 = { by axiom 34 (ifeq_axiom) R->L }
% 130.59/16.79 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, loca_level_below(admin, sbu, topsecret), true), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.79 = { by axiom 51 (ax5) R->L }
% 130.59/16.79 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, sbu, confidential), true, ifeq(loca_level_direct_below(admin, confidential, secret), true, loca_level_below(admin, sbu, secret), true), true), true, loca_level_below(admin, sbu, topsecret), true), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.79 = { by axiom 15 (ax2) }
% 130.59/16.79 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, sbu, confidential), true, ifeq(true, true, loca_level_below(admin, sbu, secret), true), true), true, loca_level_below(admin, sbu, topsecret), true), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.79 = { by axiom 34 (ifeq_axiom) }
% 130.59/16.79 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, sbu, confidential), true, loca_level_below(admin, sbu, secret), true), true, loca_level_below(admin, sbu, topsecret), true), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.79 = { by axiom 34 (ifeq_axiom) R->L }
% 130.59/16.80 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, loca_level_below(admin, sbu, confidential), true), true, loca_level_below(admin, sbu, secret), true), true, loca_level_below(admin, sbu, topsecret), true), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.80 = { by axiom 14 (ax1) R->L }
% 130.59/16.80 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_direct_below(admin, sbu, confidential), true, loca_level_below(admin, sbu, confidential), true), true, loca_level_below(admin, sbu, secret), true), true, loca_level_below(admin, sbu, topsecret), true), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.80 = { by axiom 34 (ifeq_axiom) R->L }
% 130.59/16.80 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(loca_level_direct_below(admin, sbu, confidential), true, loca_level_below(admin, sbu, confidential), true), true), true, loca_level_below(admin, sbu, secret), true), true, loca_level_below(admin, sbu, topsecret), true), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.80 = { by axiom 12 (ax4) R->L }
% 130.59/16.80 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, sbu, sbu), true, ifeq(loca_level_direct_below(admin, sbu, confidential), true, loca_level_below(admin, sbu, confidential), true), true), true, loca_level_below(admin, sbu, secret), true), true, loca_level_below(admin, sbu, topsecret), true), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.80 = { by axiom 51 (ax5) }
% 130.59/16.80 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, loca_level_below(admin, sbu, secret), true), true, loca_level_below(admin, sbu, topsecret), true), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 130.59/16.80 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.80 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, sbu, secret), true, loca_level_below(admin, sbu, topsecret), true), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.80 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.80 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, sbu, secret), true, ifeq(true, true, loca_level_below(admin, sbu, topsecret), true), true), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.80 = { by axiom 13 (ax3) R->L }
% 131.37/16.80 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(ifeq(loca_level_below(admin, sbu, secret), true, ifeq(loca_level_direct_below(admin, secret, topsecret), true, loca_level_below(admin, sbu, topsecret), true), true), true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.80 = { by axiom 51 (ax5) }
% 131.37/16.80 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.80 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.80 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(ifeq(true, true, admin_indi_has_level(admin, alice, sbu), true), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.80 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.80 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(admin_indi_has_level(admin, alice, sbu), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.80 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.81 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(admin_indi_has_level(admin, alice, sbu), true, ifeq(true, true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.81 = { by axiom 2 (ax41) R->L }
% 131.37/16.81 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(admin_indi_has_level(admin, alice, sbu), true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.81 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.81 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(true, true, ifeq(admin_indi_has_level(admin, alice, sbu), true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.81 = { by axiom 40 (ax43) R->L }
% 131.37/16.81 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no), true, ifeq(admin_indi_has_level(admin, alice, sbu), true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_level_for_compartment(admin, alice, compartmenta), true), true), true), true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.81 = { by axiom 62 (ax29) }
% 131.37/16.81 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.81 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.81 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.81 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.81 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(true, true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.81 = { by axiom 45 (ax6) R->L }
% 131.37/16.81 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(ifeq(system_compartment_has_sso(system, compartmentb, sso_compartmentb), true, admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.81 = { by axiom 19 (ax44) }
% 131.37/16.81 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(ifeq(true, true, admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.81 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.81 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.81 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.81 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(true, true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.81 = { by axiom 49 (ax21) R->L }
% 131.37/16.81 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(ifeq(hr_admin_indi_has_employment(hr_admin, alice), true, ifeq(system_indi_is_hr_admin(system, hr_admin), true, admin_indi_has_employment(admin, alice), true), true), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.81 = { by axiom 10 (ax75) }
% 131.37/16.81 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(ifeq(true, true, ifeq(system_indi_is_hr_admin(system, hr_admin), true, admin_indi_has_employment(admin, alice), true), true), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.81 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.81 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(ifeq(system_indi_is_hr_admin(system, hr_admin), true, admin_indi_has_employment(admin, alice), true), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.82 = { by axiom 9 (ax69) }
% 131.37/16.82 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(ifeq(true, true, admin_indi_has_employment(admin, alice), true), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.82 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.82 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.82 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.82 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(true, true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.82 = { by axiom 46 (ax23) R->L }
% 131.37/16.82 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(ifeq(system_indi_has_citizenship(system, alice, usa), true, admin_indi_has_citizenship(admin, alice, usa), true), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.82 = { by axiom 26 (ax71) }
% 131.37/16.82 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(ifeq(true, true, admin_indi_has_citizenship(admin, alice, usa), true), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.82 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.82 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.82 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.82 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(true, true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.82 = { by axiom 27 (ax78) R->L }
% 131.37/16.82 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.82 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.82 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(true, true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.82 = { by axiom 59 (ax30) R->L }
% 131.37/16.82 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true), true), true), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.82 = { by axiom 39 (ax42) }
% 131.37/16.82 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(true, true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true), true), true), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.82 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.82 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true), true), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.82 = { by axiom 2 (ax41) }
% 131.37/16.83 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(true, true, admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true), true), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.83 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.83 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_polygraph(admin, alice), true, admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.83 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.83 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(true, true, admin_indi_has_polygraph(admin, alice), true), true, admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.83 = { by axiom 4 (ax66) R->L }
% 131.37/16.83 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(system_indi_is_polygraph_admin(system, polygraph_admin), true, admin_indi_has_polygraph(admin, alice), true), true, admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.83 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.83 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(true, true, ifeq(system_indi_is_polygraph_admin(system, polygraph_admin), true, admin_indi_has_polygraph(admin, alice), true), true), true, admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.83 = { by axiom 5 (ax72) R->L }
% 131.37/16.83 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(polygraph_admin_indi_has_polygraph(polygraph_admin, alice), true, ifeq(system_indi_is_polygraph_admin(system, polygraph_admin), true, admin_indi_has_polygraph(admin, alice), true), true), true, admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.83 = { by axiom 47 (ax17) }
% 131.37/16.83 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(true, true, admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.83 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.83 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.83 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.83 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(true, true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.83 = { by axiom 60 (ax32) R->L }
% 131.37/16.83 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true), true), true), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.83 = { by axiom 39 (ax42) }
% 131.37/16.83 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(true, true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true), true), true), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.84 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.84 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_credit(admin, alice), true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true), true), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.84 = { by axiom 2 (ax41) }
% 131.37/16.84 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_credit(admin, alice), true, ifeq(true, true, admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true), true), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.84 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.84 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_credit(admin, alice), true, admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.84 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.84 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(true, true, admin_indi_has_credit(admin, alice), true), true, admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.84 = { by axiom 6 (ax67) R->L }
% 131.37/16.84 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(system_indi_is_credit_admin(system, credit_admin), true, admin_indi_has_credit(admin, alice), true), true, admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.84 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.84 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(true, true, ifeq(system_indi_is_credit_admin(system, credit_admin), true, admin_indi_has_credit(admin, alice), true), true), true, admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.84 = { by axiom 7 (ax73) R->L }
% 131.37/16.84 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(credit_admin_indi_has_credit(credit_admin, alice), true, ifeq(system_indi_is_credit_admin(system, credit_admin), true, admin_indi_has_credit(admin, alice), true), true), true, admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.84 = { by axiom 48 (ax18) }
% 131.37/16.84 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(true, true, admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.84 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.84 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.84 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.84 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.85 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.85 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(true, true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.85 = { by axiom 61 (ax28) R->L }
% 131.37/16.85 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes), true, ifeq(admin_indi_has_background(admin, alice, topsecret), true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_background_for_compartment(admin, alice, compartmentb), true), true), true), true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.85 = { by axiom 39 (ax42) }
% 131.37/16.85 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(true, true, ifeq(admin_indi_has_background(admin, alice, topsecret), true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_background_for_compartment(admin, alice, compartmentb), true), true), true), true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.85 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.85 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_background(admin, alice, topsecret), true, ifeq(system_indi_is_oca(system, oca), true, admin_indi_has_background_for_compartment(admin, alice, compartmentb), true), true), true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.85 = { by axiom 2 (ax41) }
% 131.37/16.85 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_background(admin, alice, topsecret), true, ifeq(true, true, admin_indi_has_background_for_compartment(admin, alice, compartmentb), true), true), true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.85 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.85 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(admin_indi_has_background(admin, alice, topsecret), true, admin_indi_has_background_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.85 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.85 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(true, true, admin_indi_has_background(admin, alice, topsecret), true), true, admin_indi_has_background_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.86 = { by axiom 12 (ax4) R->L }
% 131.37/16.86 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(loca_level_below(admin, topsecret, topsecret), true, admin_indi_has_background(admin, alice, topsecret), true), true, admin_indi_has_background_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.86 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.86 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(true, true, ifeq(loca_level_below(admin, topsecret, topsecret), true, admin_indi_has_background(admin, alice, topsecret), true), true), true, admin_indi_has_background_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.86 = { by axiom 8 (ax68) R->L }
% 131.37/16.86 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(system_indi_is_background_admin(system, background_admin), true, ifeq(loca_level_below(admin, topsecret, topsecret), true, admin_indi_has_background(admin, alice, topsecret), true), true), true, admin_indi_has_background_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.86 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.86 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(true, true, ifeq(system_indi_is_background_admin(system, background_admin), true, ifeq(loca_level_below(admin, topsecret, topsecret), true, admin_indi_has_background(admin, alice, topsecret), true), true), true), true, admin_indi_has_background_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.86 = { by axiom 31 (ax74) R->L }
% 131.37/16.86 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(ifeq(background_admin_indi_has_background(background_admin, alice, topsecret), true, ifeq(system_indi_is_background_admin(system, background_admin), true, ifeq(loca_level_below(admin, topsecret, topsecret), true, admin_indi_has_background(admin, alice, topsecret), true), true), true), true, admin_indi_has_background_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.86 = { by axiom 57 (ax20) }
% 131.37/16.86 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(ifeq(true, true, admin_indi_has_background_for_compartment(admin, alice, compartmentb), true), true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.86 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.86 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_background_for_compartment(admin, alice, compartmentb), true, ifeq(true, true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.86 = { by axiom 29 (ax80) R->L }
% 131.37/16.86 ifeq(ifeq(ifeq(admin_indi_has_level_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_background_for_compartment(admin, alice, compartmentb), true, ifeq(sso_indi_has_compartment(sso_compartmentb, alice, compartmentb), true, ifeq(admin_indi_has_credit_for_compartment(admin, alice, compartmentb), true, ifeq(admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb), true, ifeq(system_indi_needs_compartment(system, alice, compartmentb), true, ifeq(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.86 = { by axiom 68 (ax27) }
% 131.37/16.86 ifeq(ifeq(true, true, admin_indi_has_compartments_for_file(admin, alice, secretfile), true), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.86 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.86 ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true)
% 131.37/16.86 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.86 ifeq(true, true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true)
% 131.37/16.86 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.86 ifeq(true, true, ifeq(true, true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true)
% 131.37/16.86 = { by axiom 50 (ax36) R->L }
% 131.37/16.86 ifeq(ifeq(owner_indi_has_need_to_know(owner_secretfile, alice, secretfile), true, ifeq(state_file_has_owner(secretfile, owner_secretfile), true, admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true), true), true, ifeq(true, true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true)
% 131.37/16.86 = { by axiom 18 (ax82) }
% 131.37/16.86 ifeq(ifeq(true, true, ifeq(state_file_has_owner(secretfile, owner_secretfile), true, admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true), true), true, ifeq(true, true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true)
% 131.37/16.86 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.86 ifeq(ifeq(state_file_has_owner(secretfile, owner_secretfile), true, admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true), true, ifeq(true, true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true)
% 131.37/16.86 = { by axiom 3 (ax60) }
% 131.37/16.86 ifeq(ifeq(true, true, admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true), true, ifeq(true, true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true)
% 131.37/16.86 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.86 ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(true, true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true)
% 131.37/16.86 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.86 ifeq(true, true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(true, true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true)
% 131.37/16.86 = { by axiom 44 (ax38) R->L }
% 131.37/16.86 ifeq(ifeq(admin_indi_has_citizenship(admin, alice, usa), true, admin_indi_has_citizenship_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(true, true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true)
% 131.37/16.86 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.86 ifeq(ifeq(ifeq(true, true, admin_indi_has_citizenship(admin, alice, usa), true), true, admin_indi_has_citizenship_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(true, true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true)
% 131.37/16.86 = { by axiom 26 (ax71) R->L }
% 131.37/16.87 ifeq(ifeq(ifeq(system_indi_has_citizenship(system, alice, usa), true, admin_indi_has_citizenship(admin, alice, usa), true), true, admin_indi_has_citizenship_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(true, true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true)
% 131.37/16.87 = { by axiom 46 (ax23) }
% 131.37/16.87 ifeq(ifeq(true, true, admin_indi_has_citizenship_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(true, true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true)
% 131.37/16.87 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.87 ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(true, true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true)
% 131.37/16.87 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.87 ifeq(true, true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(true, true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.87 = { by axiom 1 (ax50) R->L }
% 131.37/16.87 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(true, true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.87 = { by axiom 52 (ax35) R->L }
% 131.37/16.87 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(admin_file_has_level(admin, secretfile, secret), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.87 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.87 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(true, true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.87 = { by axiom 66 (ax13) R->L }
% 131.37/16.87 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(sso_file_has_level(sso_compartmentb, secretfile, secret, scg_compartmentb), true, ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true, ifeq(admin_compartment_has_scg(admin, compartmentb, scg_compartmentb), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.87 = { by axiom 37 (ax55) }
% 131.37/16.87 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(true, true, ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true, ifeq(admin_compartment_has_scg(admin, compartmentb, scg_compartmentb), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.87 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.87 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true, ifeq(admin_compartment_has_scg(admin, compartmentb, scg_compartmentb), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.87 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.88 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true, ifeq(admin_compartment_has_scg(admin, compartmentb, scg_compartmentb), true, ifeq(ifeq(true, true, admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.88 = { by axiom 19 (ax44) R->L }
% 131.37/16.88 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true, ifeq(admin_compartment_has_scg(admin, compartmentb, scg_compartmentb), true, ifeq(ifeq(system_compartment_has_sso(system, compartmentb, sso_compartmentb), true, admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.88 = { by axiom 45 (ax6) }
% 131.37/16.88 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true, ifeq(admin_compartment_has_scg(admin, compartmentb, scg_compartmentb), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.88 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.88 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true, ifeq(ifeq(true, true, admin_compartment_has_scg(admin, compartmentb, scg_compartmentb), true), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.88 = { by axiom 45 (ax6) R->L }
% 131.37/16.88 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true, ifeq(ifeq(ifeq(system_compartment_has_sso(system, compartmentb, sso_compartmentb), true, admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true), true, admin_compartment_has_scg(admin, compartmentb, scg_compartmentb), true), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.88 = { by axiom 19 (ax44) }
% 131.37/16.88 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true, ifeq(ifeq(ifeq(true, true, admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true), true, admin_compartment_has_scg(admin, compartmentb, scg_compartmentb), true), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.88 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.88 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true, ifeq(ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_compartment_has_scg(admin, compartmentb, scg_compartmentb), true), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.88 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.89 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true, ifeq(ifeq(true, true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_compartment_has_scg(admin, compartmentb, scg_compartmentb), true), true), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.89 = { by axiom 23 (ax46) R->L }
% 131.37/16.89 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true, ifeq(ifeq(sso_compartment_has_scg(sso_compartmentb, compartmentb, scg_compartmentb), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_compartment_has_scg(admin, compartmentb, scg_compartmentb), true), true), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.89 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.89 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true, ifeq(ifeq(sso_compartment_has_scg(sso_compartmentb, compartmentb, scg_compartmentb), true, ifeq(true, true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_compartment_has_scg(admin, compartmentb, scg_compartmentb), true), true), true), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.89 = { by axiom 2 (ax41) R->L }
% 131.37/16.89 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true, ifeq(ifeq(sso_compartment_has_scg(sso_compartmentb, compartmentb, scg_compartmentb), true, ifeq(system_indi_is_oca(system, oca), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_compartment_has_scg(admin, compartmentb, scg_compartmentb), true), true), true), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.89 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.89 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true, ifeq(ifeq(sso_compartment_has_scg(sso_compartmentb, compartmentb, scg_compartmentb), true, ifeq(true, true, ifeq(system_indi_is_oca(system, oca), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_compartment_has_scg(admin, compartmentb, scg_compartmentb), true), true), true), true), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.89 = { by axiom 21 (ax45) R->L }
% 131.37/16.89 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true, ifeq(ifeq(sso_compartment_has_scg(sso_compartmentb, compartmentb, scg_compartmentb), true, ifeq(oca_compartment_has_scg(oca, compartmentb, scg_compartmentb), true, ifeq(system_indi_is_oca(system, oca), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_compartment_has_scg(admin, compartmentb, scg_compartmentb), true), true), true), true), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.89 = { by axiom 64 (ax7) }
% 131.37/16.89 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true, ifeq(true, true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.90 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.90 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.90 = { by axiom 34 (ifeq_axiom) }
% 131.37/16.90 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.90 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.90 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.90 = { by axiom 34 (ifeq_axiom) R->L }
% 131.37/16.90 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 131.37/16.90 = { by axiom 64 (ax7) R->L }
% 132.18/16.90 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(ifeq(ifeq(sso_compartment_has_scg(sso_compartmenta, compartmenta, scg_compartmenta), true, ifeq(oca_compartment_has_scg(oca, compartmenta, scg_compartmenta), true, ifeq(system_indi_is_oca(system, oca), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_compartment_has_scg(admin, compartmenta, scg_compartmenta), true), true), true), true), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.90 = { by axiom 22 (ax48) }
% 132.18/16.90 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(ifeq(ifeq(sso_compartment_has_scg(sso_compartmenta, compartmenta, scg_compartmenta), true, ifeq(true, true, ifeq(system_indi_is_oca(system, oca), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_compartment_has_scg(admin, compartmenta, scg_compartmenta), true), true), true), true), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.90 = { by axiom 34 (ifeq_axiom) }
% 132.18/16.90 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(ifeq(ifeq(sso_compartment_has_scg(sso_compartmenta, compartmenta, scg_compartmenta), true, ifeq(system_indi_is_oca(system, oca), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_compartment_has_scg(admin, compartmenta, scg_compartmenta), true), true), true), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.91 = { by axiom 2 (ax41) }
% 132.18/16.91 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(ifeq(ifeq(sso_compartment_has_scg(sso_compartmenta, compartmenta, scg_compartmenta), true, ifeq(true, true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_compartment_has_scg(admin, compartmenta, scg_compartmenta), true), true), true), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.91 = { by axiom 34 (ifeq_axiom) }
% 132.18/16.91 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(ifeq(ifeq(sso_compartment_has_scg(sso_compartmenta, compartmenta, scg_compartmenta), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_compartment_has_scg(admin, compartmenta, scg_compartmenta), true), true), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.91 = { by axiom 24 (ax49) }
% 132.18/16.91 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_compartment_has_scg(admin, compartmenta, scg_compartmenta), true), true), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.91 = { by axiom 34 (ifeq_axiom) }
% 132.18/16.91 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(ifeq(ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_compartment_has_scg(admin, compartmenta, scg_compartmenta), true), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.91 = { by axiom 34 (ifeq_axiom) R->L }
% 132.18/16.91 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true), true, admin_compartment_has_scg(admin, compartmenta, scg_compartmenta), true), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.91 = { by axiom 20 (ax47) R->L }
% 132.18/16.91 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(system_compartment_has_sso(system, compartmenta, sso_compartmenta), true, admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true), true, admin_compartment_has_scg(admin, compartmenta, scg_compartmenta), true), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.91 = { by axiom 45 (ax6) }
% 132.18/16.91 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, admin_compartment_has_scg(admin, compartmenta, scg_compartmenta), true), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.91 = { by axiom 34 (ifeq_axiom) }
% 132.18/16.92 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(ifeq(admin_compartment_has_scg(admin, compartmenta, scg_compartmenta), true, ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.92 = { by axiom 45 (ax6) R->L }
% 132.18/16.92 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(ifeq(admin_compartment_has_scg(admin, compartmenta, scg_compartmenta), true, ifeq(ifeq(system_compartment_has_sso(system, compartmenta, sso_compartmenta), true, admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.92 = { by axiom 20 (ax47) }
% 132.18/16.92 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(ifeq(admin_compartment_has_scg(admin, compartmenta, scg_compartmenta), true, ifeq(ifeq(true, true, admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.92 = { by axiom 34 (ifeq_axiom) }
% 132.18/16.92 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(ifeq(admin_compartment_has_scg(admin, compartmenta, scg_compartmenta), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.92 = { by axiom 34 (ifeq_axiom) R->L }
% 132.18/16.92 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(ifeq(true, true, ifeq(admin_compartment_has_scg(admin, compartmenta, scg_compartmenta), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true), true), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.92 = { by axiom 38 (ax56) R->L }
% 132.18/16.92 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(ifeq(sso_file_has_level(sso_compartmenta, secretfile, secret, scg_compartmenta), true, ifeq(admin_compartment_has_scg(admin, compartmenta, scg_compartmenta), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true), true), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.92 = { by axiom 34 (ifeq_axiom) R->L }
% 132.18/16.92 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(ifeq(sso_file_has_level(sso_compartmenta, secretfile, secret, scg_compartmenta), true, ifeq(true, true, ifeq(admin_compartment_has_scg(admin, compartmenta, scg_compartmenta), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true), true), true), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.92 = { by axiom 36 (ax12) R->L }
% 132.18/16.92 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(ifeq(sso_file_has_level(sso_compartmenta, secretfile, secret, scg_compartmenta), true, ifeq(admin_file_has_level_h(admin, secretfile, secret, nil), true, ifeq(admin_compartment_has_scg(admin, compartmenta, scg_compartmenta), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)), true), true), true), true), true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.93 = { by axiom 66 (ax13) }
% 132.18/16.93 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(ifeq(true, true, admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.93 = { by axiom 34 (ifeq_axiom) }
% 132.18/16.93 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_level(admin, secretfile, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.93 = { by axiom 34 (ifeq_axiom) R->L }
% 132.18/16.93 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(true, true, admin_file_has_level(admin, secretfile, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.93 = { by axiom 54 (ax8) R->L }
% 132.18/16.93 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.93 = { by axiom 34 (ifeq_axiom) R->L }
% 132.18/16.93 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(true, true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.93 = { by axiom 34 (ifeq_axiom) R->L }
% 132.18/16.93 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(true, true, ifeq(true, true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.94 = { by axiom 42 (ax52) R->L }
% 132.18/16.94 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(true, true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.94 = { by axiom 63 (ax10) R->L }
% 132.18/16.94 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), nil), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true), true), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.94 = { by axiom 35 (ax9) }
% 132.18/16.94 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(true, true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true), true), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.94 = { by axiom 34 (ifeq_axiom) }
% 132.18/16.94 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.95 = { by axiom 34 (ifeq_axiom) R->L }
% 132.18/16.95 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(true, true, admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.95 = { by axiom 20 (ax47) R->L }
% 132.18/16.95 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(system_compartment_has_sso(system, compartmenta, sso_compartmenta), true, admin_compartment_has_sso(admin, compartmenta, sso_compartmenta), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.95 = { by axiom 45 (ax6) }
% 132.18/16.95 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(true, true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.95 = { by axiom 34 (ifeq_axiom) }
% 132.18/16.95 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.96 = { by axiom 43 (ax53) }
% 132.18/16.96 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(true, true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.96 = { by axiom 34 (ifeq_axiom) }
% 132.18/16.96 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.96 = { by axiom 34 (ifeq_axiom) R->L }
% 132.18/16.96 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true, ifeq(true, true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.96 = { by axiom 45 (ax6) R->L }
% 132.18/16.96 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true, ifeq(ifeq(system_compartment_has_sso(system, compartmentb, sso_compartmentb), true, admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.96 = { by axiom 19 (ax44) }
% 132.18/16.96 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true, ifeq(ifeq(true, true, admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.97 = { by axiom 34 (ifeq_axiom) }
% 132.18/16.97 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(ifeq(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)), true, ifeq(admin_compartment_has_sso(admin, compartmentb, sso_compartmentb), true, admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))), true), true), true), true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.97 = { by axiom 63 (ax10) }
% 132.18/16.97 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(true, true, ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true), true, admin_file_has_level(admin, secretfile, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.97 = { by axiom 34 (ifeq_axiom) }
% 132.18/16.97 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.97 = { by axiom 41 (ax51) }
% 132.18/16.97 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(ifeq(true, true, admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true), true, admin_file_has_level(admin, secretfile, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.97 = { by axiom 34 (ifeq_axiom) }
% 132.18/16.97 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_level(admin, secretfile, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.97 = { by axiom 34 (ifeq_axiom) R->L }
% 132.18/16.97 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(true, true, ifeq(admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_level(admin, secretfile, secret), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.97 = { by axiom 25 (ax54) R->L }
% 132.18/16.97 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(ifeq(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))), true, ifeq(system_file_needs_level(system, secretfile, secret), true, ifeq(admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))), true, admin_file_has_level(admin, secretfile, secret), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.97 = { by axiom 58 (ax11) }
% 132.18/16.97 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, ifeq(true, true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.97 = { by axiom 34 (ifeq_axiom) }
% 132.18/16.97 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(admin_indi_has_level(admin, alice, secret), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.97 = { by axiom 34 (ifeq_axiom) R->L }
% 132.18/16.98 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(true, true, admin_indi_has_level(admin, alice, secret), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.98 = { by axiom 34 (ifeq_axiom) R->L }
% 132.18/16.98 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(true, true, ifeq(true, true, admin_indi_has_level(admin, alice, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.98 = { by axiom 32 (ax76) R->L }
% 132.18/16.98 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(true, true, admin_indi_has_level(admin, alice, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.98 = { by axiom 12 (ax4) R->L }
% 132.18/16.98 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.98 = { by axiom 34 (ifeq_axiom) R->L }
% 132.18/16.98 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(true, true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.98 = { by axiom 34 (ifeq_axiom) R->L }
% 132.18/16.98 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(true, true, ifeq(true, true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.98 = { by axiom 57 (ax20) R->L }
% 132.18/16.98 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(background_admin_indi_has_background(background_admin, alice, topsecret), true, ifeq(system_indi_is_background_admin(system, background_admin), true, ifeq(loca_level_below(admin, secret, topsecret), true, admin_indi_has_background(admin, alice, secret), true), true), true), true, ifeq(true, true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.98 = { by axiom 31 (ax74) }
% 132.18/16.98 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(true, true, ifeq(system_indi_is_background_admin(system, background_admin), true, ifeq(loca_level_below(admin, secret, topsecret), true, admin_indi_has_background(admin, alice, secret), true), true), true), true, ifeq(true, true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.98 = { by axiom 34 (ifeq_axiom) }
% 132.18/16.98 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(system_indi_is_background_admin(system, background_admin), true, ifeq(loca_level_below(admin, secret, topsecret), true, admin_indi_has_background(admin, alice, secret), true), true), true, ifeq(true, true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.98 = { by axiom 8 (ax68) }
% 132.18/16.98 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(true, true, ifeq(loca_level_below(admin, secret, topsecret), true, admin_indi_has_background(admin, alice, secret), true), true), true, ifeq(true, true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.99 = { by axiom 34 (ifeq_axiom) }
% 132.18/16.99 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(loca_level_below(admin, secret, topsecret), true, admin_indi_has_background(admin, alice, secret), true), true, ifeq(true, true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.99 = { by axiom 34 (ifeq_axiom) R->L }
% 132.18/16.99 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(ifeq(true, true, loca_level_below(admin, secret, topsecret), true), true, admin_indi_has_background(admin, alice, secret), true), true, ifeq(true, true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.99 = { by axiom 13 (ax3) R->L }
% 132.18/16.99 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(ifeq(loca_level_direct_below(admin, secret, topsecret), true, loca_level_below(admin, secret, topsecret), true), true, admin_indi_has_background(admin, alice, secret), true), true, ifeq(true, true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.99 = { by axiom 34 (ifeq_axiom) R->L }
% 132.18/16.99 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(ifeq(true, true, ifeq(loca_level_direct_below(admin, secret, topsecret), true, loca_level_below(admin, secret, topsecret), true), true), true, admin_indi_has_background(admin, alice, secret), true), true, ifeq(true, true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.99 = { by axiom 12 (ax4) R->L }
% 132.18/16.99 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(ifeq(loca_level_below(admin, secret, secret), true, ifeq(loca_level_direct_below(admin, secret, topsecret), true, loca_level_below(admin, secret, topsecret), true), true), true, admin_indi_has_background(admin, alice, secret), true), true, ifeq(true, true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.99 = { by axiom 51 (ax5) }
% 132.18/16.99 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(true, true, admin_indi_has_background(admin, alice, secret), true), true, ifeq(true, true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.99 = { by axiom 34 (ifeq_axiom) }
% 132.18/16.99 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(true, true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.99 = { by axiom 51 (ax5) R->L }
% 132.18/16.99 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(ifeq(loca_level_below(admin, secret, secret), true, ifeq(loca_level_direct_below(admin, secret, topsecret), true, loca_level_below(admin, secret, topsecret), true), true), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/16.99 = { by axiom 12 (ax4) }
% 132.18/17.00 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(ifeq(true, true, ifeq(loca_level_direct_below(admin, secret, topsecret), true, loca_level_below(admin, secret, topsecret), true), true), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/17.00 = { by axiom 34 (ifeq_axiom) }
% 132.18/17.00 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(ifeq(loca_level_direct_below(admin, secret, topsecret), true, loca_level_below(admin, secret, topsecret), true), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/17.00 = { by axiom 13 (ax3) }
% 132.18/17.00 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(ifeq(true, true, loca_level_below(admin, secret, topsecret), true), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/17.00 = { by axiom 34 (ifeq_axiom) }
% 132.18/17.00 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/17.00 = { by axiom 34 (ifeq_axiom) R->L }
% 132.18/17.00 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(true, true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/17.00 = { by axiom 47 (ax17) R->L }
% 132.18/17.00 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(ifeq(polygraph_admin_indi_has_polygraph(polygraph_admin, alice), true, ifeq(system_indi_is_polygraph_admin(system, polygraph_admin), true, admin_indi_has_polygraph(admin, alice), true), true), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.18/17.00 = { by axiom 5 (ax72) }
% 132.98/17.00 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(ifeq(true, true, ifeq(system_indi_is_polygraph_admin(system, polygraph_admin), true, admin_indi_has_polygraph(admin, alice), true), true), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.00 = { by axiom 34 (ifeq_axiom) }
% 132.98/17.00 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(ifeq(system_indi_is_polygraph_admin(system, polygraph_admin), true, admin_indi_has_polygraph(admin, alice), true), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.01 = { by axiom 4 (ax66) }
% 132.98/17.01 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(ifeq(true, true, admin_indi_has_polygraph(admin, alice), true), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.01 = { by axiom 34 (ifeq_axiom) }
% 132.98/17.01 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.01 = { by axiom 34 (ifeq_axiom) R->L }
% 132.98/17.01 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(true, true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.01 = { by axiom 48 (ax18) R->L }
% 132.98/17.01 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(ifeq(credit_admin_indi_has_credit(credit_admin, alice), true, ifeq(system_indi_is_credit_admin(system, credit_admin), true, admin_indi_has_credit(admin, alice), true), true), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.01 = { by axiom 7 (ax73) }
% 132.98/17.01 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(ifeq(true, true, ifeq(system_indi_is_credit_admin(system, credit_admin), true, admin_indi_has_credit(admin, alice), true), true), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.01 = { by axiom 34 (ifeq_axiom) }
% 132.98/17.01 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(ifeq(system_indi_is_credit_admin(system, credit_admin), true, admin_indi_has_credit(admin, alice), true), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.01 = { by axiom 6 (ax67) }
% 132.98/17.01 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(ifeq(true, true, admin_indi_has_credit(admin, alice), true), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.01 = { by axiom 34 (ifeq_axiom) }
% 132.98/17.01 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.01 = { by axiom 34 (ifeq_axiom) R->L }
% 132.98/17.01 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(true, true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.02 = { by axiom 49 (ax21) R->L }
% 132.98/17.02 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(hr_admin_indi_has_employment(hr_admin, alice), true, ifeq(system_indi_is_hr_admin(system, hr_admin), true, admin_indi_has_employment(admin, alice), true), true), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.02 = { by axiom 10 (ax75) }
% 132.98/17.02 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(true, true, ifeq(system_indi_is_hr_admin(system, hr_admin), true, admin_indi_has_employment(admin, alice), true), true), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.02 = { by axiom 34 (ifeq_axiom) }
% 132.98/17.02 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(system_indi_is_hr_admin(system, hr_admin), true, admin_indi_has_employment(admin, alice), true), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.02 = { by axiom 9 (ax69) }
% 132.98/17.02 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(true, true, admin_indi_has_employment(admin, alice), true), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.02 = { by axiom 34 (ifeq_axiom) }
% 132.98/17.02 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.03 = { by axiom 34 (ifeq_axiom) R->L }
% 132.98/17.03 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(true, true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.03 = { by axiom 46 (ax23) R->L }
% 132.98/17.03 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(system_indi_has_citizenship(system, alice, usa), true, admin_indi_has_citizenship(admin, alice, usa), true), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.03 = { by axiom 26 (ax71) }
% 132.98/17.03 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(ifeq(true, true, admin_indi_has_citizenship(admin, alice, usa), true), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.03 = { by axiom 34 (ifeq_axiom) }
% 132.98/17.03 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.03 = { by axiom 34 (ifeq_axiom) R->L }
% 132.98/17.03 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(true, true, ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.03 = { by axiom 11 (ax70) R->L }
% 132.98/17.03 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(system_indi_is_level_admin(system, level_admin), true, ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.03 = { by axiom 34 (ifeq_axiom) R->L }
% 132.98/17.03 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(true, true, ifeq(system_indi_is_level_admin(system, level_admin), true, ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.03 = { by axiom 33 (ax77) R->L }
% 132.98/17.03 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(ifeq(level_admin_indi_has_level(level_admin, alice, topsecret), true, ifeq(system_indi_is_level_admin(system, level_admin), true, ifeq(system_indi_needs_level(system, alice, secret), true, ifeq(admin_indi_has_citizenship(admin, alice, usa), true, ifeq(admin_indi_has_employment(admin, alice), true, ifeq(admin_indi_has_background(admin, alice, secret), true, ifeq(admin_indi_has_credit(admin, alice), true, ifeq(admin_indi_has_polygraph(admin, alice), true, ifeq(loca_level_below(admin, secret, topsecret), true, ifeq(loca_level_below(admin, secret, secret), true, admin_indi_has_level(admin, alice, secret), true), true), true), true), true), true), true), true), true), true), true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.03 = { by axiom 67 (ax25) }
% 132.98/17.03 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(ifeq(true, true, admin_indi_has_level_for_file(admin, alice, secretfile), true), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.03 = { by axiom 34 (ifeq_axiom) }
% 132.98/17.03 ifeq(state_file_is_not_working_paper(secretfile), true, ifeq(admin_indi_has_citizenship_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_need_to_know_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_level_for_file(admin, alice, secretfile), true, ifeq(admin_indi_has_compartments_for_file(admin, alice, secretfile), true, admin_indi_may_file(admin, alice, secretfile, read), true), true), true), true), true)
% 132.98/17.03 = { by axiom 65 (ax39) }
% 132.98/17.03 true
% 132.98/17.03 % SZS output end Proof
% 132.98/17.03
% 132.98/17.03 RESULT: Theorem (the conjecture is true).
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