%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV437+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:34:03 AM UTC 2025
% Result : Theorem 0.48s 0.66s
% Output : Proof 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV437+1 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 09:51:33 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.48/0.66 % SZS status Theorem
% 0.48/0.66 % SZS output start Proof
% 0.48/0.66 tff(admin_file_has_level_type, type, (
% 0.48/0.66 admin_file_has_level: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(secret_type, type, (
% 0.48/0.66 secret: $i)).
% 0.48/0.66 tff(secretfile_type, type, (
% 0.48/0.66 secretfile: $i)).
% 0.48/0.66 tff(admin_type, type, (
% 0.48/0.66 admin: $i)).
% 0.48/0.66 tff(admin_file_has_level_h_type, type, (
% 0.48/0.66 admin_file_has_level_h: ( $i * $i * $i * $i ) > $o)).
% 0.48/0.66 tff(cons_type, type, (
% 0.48/0.66 cons: ( $i * $i ) > $i)).
% 0.48/0.66 tff(nil_type, type, (
% 0.48/0.66 nil: $i)).
% 0.48/0.66 tff(compartmenta_type, type, (
% 0.48/0.66 compartmenta: $i)).
% 0.48/0.66 tff(compartmentb_type, type, (
% 0.48/0.66 compartmentb: $i)).
% 0.48/0.66 tff(admin_compartment_has_scg_type, type, (
% 0.48/0.66 admin_compartment_has_scg: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(scg_compartmenta_type, type, (
% 0.48/0.66 scg_compartmenta: $i)).
% 0.48/0.66 tff(admin_compartment_has_sso_type, type, (
% 0.48/0.66 admin_compartment_has_sso: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(sso_compartmenta_type, type, (
% 0.48/0.66 sso_compartmenta: $i)).
% 0.48/0.66 tff(system_compartment_has_sso_type, type, (
% 0.48/0.66 system_compartment_has_sso: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(system_type, type, (
% 0.48/0.66 system: $i)).
% 0.48/0.66 tff(sso_compartment_has_scg_type, type, (
% 0.48/0.66 sso_compartment_has_scg: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(oca_compartment_has_scg_type, type, (
% 0.48/0.66 oca_compartment_has_scg: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(oca_type, type, (
% 0.48/0.66 oca: $i)).
% 0.48/0.66 tff(system_indi_is_oca_type, type, (
% 0.48/0.66 system_indi_is_oca: ( $i * $i ) > $o)).
% 0.48/0.66 tff(sso_file_has_level_type, type, (
% 0.48/0.66 sso_file_has_level: ( $i * $i * $i * $i ) > $o)).
% 0.48/0.66 tff(scg_compartmentb_type, type, (
% 0.48/0.66 scg_compartmentb: $i)).
% 0.48/0.66 tff(sso_compartmentb_type, type, (
% 0.48/0.66 sso_compartmentb: $i)).
% 0.48/0.66 tff(admin_file_has_compartments_type, type, (
% 0.48/0.66 admin_file_has_compartments: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(admin_file_has_compartments_h_type, type, (
% 0.48/0.66 admin_file_has_compartments_h: ( $i * $i * $i * $i ) > $o)).
% 0.48/0.66 tff(sso_file_has_compartments_type, type, (
% 0.48/0.66 sso_file_has_compartments: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(system_file_needs_compartments_type, type, (
% 0.48/0.66 system_file_needs_compartments: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(system_file_needs_level_type, type, (
% 0.48/0.66 system_file_needs_level: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(admin_indi_has_level_type, type, (
% 0.48/0.66 admin_indi_has_level: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(alice_type, type, (
% 0.48/0.66 alice: $i)).
% 0.48/0.66 tff(loca_level_below_type, type, (
% 0.48/0.66 loca_level_below: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(topsecret_type, type, (
% 0.48/0.66 topsecret: $i)).
% 0.48/0.66 tff(loca_level_direct_below_type, type, (
% 0.48/0.66 loca_level_direct_below: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(admin_indi_has_background_type, type, (
% 0.48/0.66 admin_indi_has_background: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(background_admin_indi_has_background_type, type, (
% 0.48/0.66 background_admin_indi_has_background: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(background_admin_type, type, (
% 0.48/0.66 background_admin: $i)).
% 0.48/0.66 tff(system_indi_is_background_admin_type, type, (
% 0.48/0.66 system_indi_is_background_admin: ( $i * $i ) > $o)).
% 0.48/0.66 tff(admin_indi_has_citizenship_type, type, (
% 0.48/0.66 admin_indi_has_citizenship: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(usa_type, type, (
% 0.48/0.66 usa: $i)).
% 0.48/0.66 tff(system_indi_has_citizenship_type, type, (
% 0.48/0.66 system_indi_has_citizenship: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(admin_indi_has_employment_type, type, (
% 0.48/0.66 admin_indi_has_employment: ( $i * $i ) > $o)).
% 0.48/0.66 tff(hr_admin_indi_has_employment_type, type, (
% 0.48/0.66 hr_admin_indi_has_employment: ( $i * $i ) > $o)).
% 0.48/0.66 tff(hr_admin_type, type, (
% 0.48/0.66 hr_admin: $i)).
% 0.48/0.66 tff(system_indi_is_hr_admin_type, type, (
% 0.48/0.66 system_indi_is_hr_admin: ( $i * $i ) > $o)).
% 0.48/0.66 tff(admin_indi_has_credit_type, type, (
% 0.48/0.66 admin_indi_has_credit: ( $i * $i ) > $o)).
% 0.48/0.66 tff(credit_admin_indi_has_credit_type, type, (
% 0.48/0.66 credit_admin_indi_has_credit: ( $i * $i ) > $o)).
% 0.48/0.66 tff(credit_admin_type, type, (
% 0.48/0.66 credit_admin: $i)).
% 0.48/0.66 tff(system_indi_is_credit_admin_type, type, (
% 0.48/0.66 system_indi_is_credit_admin: ( $i * $i ) > $o)).
% 0.48/0.66 tff(admin_indi_has_polygraph_type, type, (
% 0.48/0.66 admin_indi_has_polygraph: ( $i * $i ) > $o)).
% 0.48/0.66 tff(polygraph_admin_indi_has_polygraph_type, type, (
% 0.48/0.66 polygraph_admin_indi_has_polygraph: ( $i * $i ) > $o)).
% 0.48/0.66 tff(polygraph_admin_type, type, (
% 0.48/0.66 polygraph_admin: $i)).
% 0.48/0.66 tff(system_indi_is_polygraph_admin_type, type, (
% 0.48/0.66 system_indi_is_polygraph_admin: ( $i * $i ) > $o)).
% 0.48/0.66 tff(level_admin_indi_has_level_type, type, (
% 0.48/0.66 level_admin_indi_has_level: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(level_admin_type, type, (
% 0.48/0.66 level_admin: $i)).
% 0.48/0.66 tff(system_indi_needs_level_type, type, (
% 0.48/0.66 system_indi_needs_level: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(system_indi_is_level_admin_type, type, (
% 0.48/0.66 system_indi_is_level_admin: ( $i * $i ) > $o)).
% 0.48/0.66 tff(admin_indi_has_level_for_file_type, type, (
% 0.48/0.66 admin_indi_has_level_for_file: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(admin_indi_has_compartments_for_file_type, type, (
% 0.48/0.66 admin_indi_has_compartments_for_file: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(admin_indi_has_compartments_type, type, (
% 0.48/0.66 admin_indi_has_compartments: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(admin_indi_has_level_for_compartment_type, type, (
% 0.48/0.66 admin_indi_has_level_for_compartment: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(confidential_type, type, (
% 0.48/0.66 confidential: $i)).
% 0.48/0.66 tff(oca_compartment_is_compartment_type, type, (
% 0.48/0.66 oca_compartment_is_compartment: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 0.48/0.66 tff(yes_type, type, (
% 0.48/0.66 yes: $i)).
% 0.48/0.66 tff(admin_indi_has_polygraph_for_compartment_type, type, (
% 0.48/0.66 admin_indi_has_polygraph_for_compartment: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(admin_indi_has_credit_for_compartment_type, type, (
% 0.48/0.66 admin_indi_has_credit_for_compartment: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(sbu_type, type, (
% 0.48/0.66 sbu: $i)).
% 0.48/0.66 tff(no_type, type, (
% 0.48/0.66 no: $i)).
% 0.48/0.66 tff(unclassified_type, type, (
% 0.48/0.66 unclassified: $i)).
% 0.48/0.66 tff(admin_indi_has_background_for_compartment_type, type, (
% 0.48/0.66 admin_indi_has_background_for_compartment: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(sso_indi_has_compartment_type, type, (
% 0.48/0.66 sso_indi_has_compartment: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(system_indi_needs_compartment_type, type, (
% 0.48/0.66 system_indi_needs_compartment: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(admin_indi_has_citizenship_for_file_type, type, (
% 0.48/0.66 admin_indi_has_citizenship_for_file: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(admin_indi_has_need_to_know_for_file_type, type, (
% 0.48/0.66 admin_indi_has_need_to_know_for_file: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(owner_indi_has_need_to_know_type, type, (
% 0.48/0.66 owner_indi_has_need_to_know: ( $i * $i * $i ) > $o)).
% 0.48/0.66 tff(owner_secretfile_type, type, (
% 0.48/0.66 owner_secretfile: $i)).
% 0.48/0.66 tff(state_file_has_owner_type, type, (
% 0.48/0.66 state_file_has_owner: ( $i * $i ) > $o)).
% 0.48/0.66 tff(admin_indi_may_file_type, type, (
% 0.48/0.66 admin_indi_may_file: ( $i * $i * $i * $i ) > $o)).
% 0.48/0.66 tff(read_type, type, (
% 0.48/0.66 read: $i)).
% 0.48/0.66 tff(state_file_is_not_working_paper_type, type, (
% 0.48/0.66 state_file_is_not_working_paper: $i > $o)).
% 0.48/0.66 tff(1,assumption,(~admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil))), introduced(assumption)).
% 0.48/0.66 tff(2,assumption,(~admin_file_has_level_h(admin, secretfile, secret, nil)), introduced(assumption)).
% 0.48/0.66 tff(3,plain,
% 0.48/0.66 (^[F: $i, L: $i] : refl(admin_file_has_level_h(admin, F, L, nil) <=> admin_file_has_level_h(admin, F, L, nil))),
% 0.48/0.66 inference(bind,[status(th)],[])).
% 0.48/0.66 tff(4,plain,
% 0.48/0.66 (![F: $i, L: $i] : admin_file_has_level_h(admin, F, L, nil) <=> ![F: $i, L: $i] : admin_file_has_level_h(admin, F, L, nil)),
% 0.48/0.66 inference(quant_intro,[status(thm)],[3])).
% 0.48/0.66 tff(5,plain,
% 0.48/0.66 (![F: $i, L: $i] : admin_file_has_level_h(admin, F, L, nil) <=> ![F: $i, L: $i] : admin_file_has_level_h(admin, F, L, nil)),
% 0.48/0.66 inference(rewrite,[status(thm)],[])).
% 0.48/0.66 tff(6,axiom,(![F: $i, L: $i] : admin_file_has_level_h(admin, F, L, nil)), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax12')).
% 0.48/0.66 tff(7,plain,
% 0.48/0.66 (![F: $i, L: $i] : admin_file_has_level_h(admin, F, L, nil)),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.48/0.66 tff(8,plain,(
% 0.48/0.66 ![F: $i, L: $i] : admin_file_has_level_h(admin, F, L, nil)),
% 0.48/0.66 inference(skolemize,[status(sab)],[7])).
% 0.48/0.66 tff(9,plain,
% 0.48/0.66 (![F: $i, L: $i] : admin_file_has_level_h(admin, F, L, nil)),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.48/0.66 tff(10,plain,
% 0.48/0.66 ((~![F: $i, L: $i] : admin_file_has_level_h(admin, F, L, nil)) | admin_file_has_level_h(admin, secretfile, secret, nil)),
% 0.48/0.66 inference(quant_inst,[status(thm)],[])).
% 0.48/0.66 tff(11,plain,
% 0.48/0.66 ($false),
% 0.48/0.66 inference(unit_resolution,[status(thm)],[10, 9, 2])).
% 0.48/0.66 tff(12,plain,(admin_file_has_level_h(admin, secretfile, secret, nil)), inference(lemma,lemma(discharge,[]))).
% 0.48/0.66 tff(13,plain,
% 0.48/0.66 (system_compartment_has_sso(system, compartmenta, sso_compartmenta) <=> system_compartment_has_sso(system, compartmenta, sso_compartmenta)),
% 0.48/0.66 inference(rewrite,[status(thm)],[])).
% 0.48/0.66 tff(14,axiom,(system_compartment_has_sso(system, compartmenta, sso_compartmenta)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax47')).
% 0.48/0.66 tff(15,plain,
% 0.48/0.66 (system_compartment_has_sso(system, compartmenta, sso_compartmenta)),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.48/0.66 tff(16,plain,
% 0.48/0.66 (^[C: $i, SSO: $i] : refl(((~system_compartment_has_sso(system, C, SSO)) | admin_compartment_has_sso(admin, C, SSO)) <=> ((~system_compartment_has_sso(system, C, SSO)) | admin_compartment_has_sso(admin, C, SSO)))),
% 0.48/0.66 inference(bind,[status(th)],[])).
% 0.48/0.66 tff(17,plain,
% 0.48/0.66 (![C: $i, SSO: $i] : ((~system_compartment_has_sso(system, C, SSO)) | admin_compartment_has_sso(admin, C, SSO)) <=> ![C: $i, SSO: $i] : ((~system_compartment_has_sso(system, C, SSO)) | admin_compartment_has_sso(admin, C, SSO))),
% 0.48/0.66 inference(quant_intro,[status(thm)],[16])).
% 0.48/0.66 tff(18,plain,
% 0.48/0.66 (![C: $i, SSO: $i] : ((~system_compartment_has_sso(system, C, SSO)) | admin_compartment_has_sso(admin, C, SSO)) <=> ![C: $i, SSO: $i] : ((~system_compartment_has_sso(system, C, SSO)) | admin_compartment_has_sso(admin, C, SSO))),
% 0.48/0.66 inference(rewrite,[status(thm)],[])).
% 0.48/0.66 tff(19,plain,
% 0.48/0.66 (^[C: $i, SSO: $i] : rewrite((system_compartment_has_sso(system, C, SSO) => admin_compartment_has_sso(admin, C, SSO)) <=> ((~system_compartment_has_sso(system, C, SSO)) | admin_compartment_has_sso(admin, C, SSO)))),
% 0.48/0.66 inference(bind,[status(th)],[])).
% 0.48/0.66 tff(20,plain,
% 0.48/0.66 (![C: $i, SSO: $i] : (system_compartment_has_sso(system, C, SSO) => admin_compartment_has_sso(admin, C, SSO)) <=> ![C: $i, SSO: $i] : ((~system_compartment_has_sso(system, C, SSO)) | admin_compartment_has_sso(admin, C, SSO))),
% 0.48/0.66 inference(quant_intro,[status(thm)],[19])).
% 0.48/0.66 tff(21,axiom,(![C: $i, SSO: $i] : (system_compartment_has_sso(system, C, SSO) => admin_compartment_has_sso(admin, C, SSO))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax6')).
% 0.48/0.66 tff(22,plain,
% 0.48/0.66 (![C: $i, SSO: $i] : ((~system_compartment_has_sso(system, C, SSO)) | admin_compartment_has_sso(admin, C, SSO))),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.48/0.66 tff(23,plain,
% 0.48/0.66 (![C: $i, SSO: $i] : ((~system_compartment_has_sso(system, C, SSO)) | admin_compartment_has_sso(admin, C, SSO))),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[22, 18])).
% 0.48/0.66 tff(24,plain,(
% 0.48/0.66 ![C: $i, SSO: $i] : ((~system_compartment_has_sso(system, C, SSO)) | admin_compartment_has_sso(admin, C, SSO))),
% 0.48/0.66 inference(skolemize,[status(sab)],[23])).
% 0.48/0.66 tff(25,plain,
% 0.48/0.66 (![C: $i, SSO: $i] : ((~system_compartment_has_sso(system, C, SSO)) | admin_compartment_has_sso(admin, C, SSO))),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[24, 17])).
% 0.48/0.66 tff(26,plain,
% 0.48/0.66 (((~![C: $i, SSO: $i] : ((~system_compartment_has_sso(system, C, SSO)) | admin_compartment_has_sso(admin, C, SSO))) | ((~system_compartment_has_sso(system, compartmenta, sso_compartmenta)) | admin_compartment_has_sso(admin, compartmenta, sso_compartmenta))) <=> ((~![C: $i, SSO: $i] : ((~system_compartment_has_sso(system, C, SSO)) | admin_compartment_has_sso(admin, C, SSO))) | (~system_compartment_has_sso(system, compartmenta, sso_compartmenta)) | admin_compartment_has_sso(admin, compartmenta, sso_compartmenta))),
% 0.48/0.66 inference(rewrite,[status(thm)],[])).
% 0.48/0.66 tff(27,plain,
% 0.48/0.66 ((~![C: $i, SSO: $i] : ((~system_compartment_has_sso(system, C, SSO)) | admin_compartment_has_sso(admin, C, SSO))) | ((~system_compartment_has_sso(system, compartmenta, sso_compartmenta)) | admin_compartment_has_sso(admin, compartmenta, sso_compartmenta))),
% 0.48/0.66 inference(quant_inst,[status(thm)],[])).
% 0.48/0.66 tff(28,plain,
% 0.48/0.66 ((~![C: $i, SSO: $i] : ((~system_compartment_has_sso(system, C, SSO)) | admin_compartment_has_sso(admin, C, SSO))) | (~system_compartment_has_sso(system, compartmenta, sso_compartmenta)) | admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)),
% 0.48/0.66 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.48/0.66 tff(29,plain,
% 0.48/0.66 (admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)),
% 0.48/0.67 inference(unit_resolution,[status(thm)],[28, 25, 15])).
% 0.48/0.67 tff(30,plain,
% 0.48/0.67 (sso_compartment_has_scg(sso_compartmenta, compartmenta, scg_compartmenta) <=> sso_compartment_has_scg(sso_compartmenta, compartmenta, scg_compartmenta)),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(31,axiom,(sso_compartment_has_scg(sso_compartmenta, compartmenta, scg_compartmenta)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax49')).
% 0.48/0.67 tff(32,plain,
% 0.48/0.67 (sso_compartment_has_scg(sso_compartmenta, compartmenta, scg_compartmenta)),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.48/0.67 tff(33,plain,
% 0.48/0.67 (oca_compartment_has_scg(oca, compartmenta, scg_compartmenta) <=> oca_compartment_has_scg(oca, compartmenta, scg_compartmenta)),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(34,axiom,(oca_compartment_has_scg(oca, compartmenta, scg_compartmenta)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax48')).
% 0.48/0.67 tff(35,plain,
% 0.48/0.67 (oca_compartment_has_scg(oca, compartmenta, scg_compartmenta)),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.48/0.67 tff(36,plain,
% 0.48/0.67 (system_indi_is_oca(system, oca) <=> system_indi_is_oca(system, oca)),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(37,axiom,(system_indi_is_oca(system, oca)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax41')).
% 0.48/0.67 tff(38,plain,
% 0.48/0.67 (system_indi_is_oca(system, oca)),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.48/0.67 tff(39,plain,
% 0.48/0.67 (^[OCA: $i, C: $i, SSO: $i, SCG: $i] : refl((admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA))) <=> (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA))))),
% 0.48/0.67 inference(bind,[status(th)],[])).
% 0.48/0.67 tff(40,plain,
% 0.48/0.67 (![OCA: $i, C: $i, SSO: $i, SCG: $i] : (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA))) <=> ![OCA: $i, C: $i, SSO: $i, SCG: $i] : (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA)))),
% 0.48/0.67 inference(quant_intro,[status(thm)],[39])).
% 0.48/0.67 tff(41,plain,
% 0.48/0.67 (![OCA: $i, C: $i, SSO: $i, SCG: $i] : (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA))) <=> ![OCA: $i, C: $i, SSO: $i, SCG: $i] : (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA)))),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(42,plain,
% 0.48/0.67 (^[OCA: $i, C: $i, SSO: $i, SCG: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((sso_compartment_has_scg(SSO, C, SCG) => admin_compartment_has_scg(admin, C, SCG)) <=> ((~sso_compartment_has_scg(SSO, C, SCG)) | admin_compartment_has_scg(admin, C, SCG))), ((admin_compartment_has_sso(admin, C, SSO) => (sso_compartment_has_scg(SSO, C, SCG) => admin_compartment_has_scg(admin, C, SCG))) <=> (admin_compartment_has_sso(admin, C, SSO) => ((~sso_compartment_has_scg(SSO, C, SCG)) | admin_compartment_has_scg(admin, C, SCG))))), rewrite((admin_compartment_has_sso(admin, C, SSO) => ((~sso_compartment_has_scg(SSO, C, SCG)) | admin_compartment_has_scg(admin, C, SCG))) <=> (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))), ((admin_compartment_has_sso(admin, C, SSO) => (sso_compartment_has_scg(SSO, C, SCG) => admin_compartment_has_scg(admin, C, SCG))) <=> (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO))))), ((oca_compartment_has_scg(OCA, C, SCG) => (admin_compartment_has_sso(admin, C, SSO) => (sso_compartment_has_scg(SSO, C, SCG) => admin_compartment_has_scg(admin, C, SCG)))) <=> (oca_compartment_has_scg(OCA, C, SCG) => (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))))), rewrite((oca_compartment_has_scg(OCA, C, SCG) => (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))) <=> (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)))), ((oca_compartment_has_scg(OCA, C, SCG) => (admin_compartment_has_sso(admin, C, SSO) => (sso_compartment_has_scg(SSO, C, SCG) => admin_compartment_has_scg(admin, C, SCG)))) <=> (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG))))), ((system_indi_is_oca(system, OCA) => (oca_compartment_has_scg(OCA, C, SCG) => (admin_compartment_has_sso(admin, C, SSO) => (sso_compartment_has_scg(SSO, C, SCG) => admin_compartment_has_scg(admin, C, SCG))))) <=> (system_indi_is_oca(system, OCA) => (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)))))), rewrite((system_indi_is_oca(system, OCA) => (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)))) <=> (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA)))), ((system_indi_is_oca(system, OCA) => (oca_compartment_has_scg(OCA, C, SCG) => (admin_compartment_has_sso(admin, C, SSO) => (sso_compartment_has_scg(SSO, C, SCG) => admin_compartment_has_scg(admin, C, SCG))))) <=> (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA)))))),
% 0.48/0.67 inference(bind,[status(th)],[])).
% 0.48/0.67 tff(43,plain,
% 0.48/0.67 (![OCA: $i, C: $i, SSO: $i, SCG: $i] : (system_indi_is_oca(system, OCA) => (oca_compartment_has_scg(OCA, C, SCG) => (admin_compartment_has_sso(admin, C, SSO) => (sso_compartment_has_scg(SSO, C, SCG) => admin_compartment_has_scg(admin, C, SCG))))) <=> ![OCA: $i, C: $i, SSO: $i, SCG: $i] : (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA)))),
% 0.48/0.67 inference(quant_intro,[status(thm)],[42])).
% 0.48/0.67 tff(44,axiom,(![OCA: $i, C: $i, SSO: $i, SCG: $i] : (system_indi_is_oca(system, OCA) => (oca_compartment_has_scg(OCA, C, SCG) => (admin_compartment_has_sso(admin, C, SSO) => (sso_compartment_has_scg(SSO, C, SCG) => admin_compartment_has_scg(admin, C, SCG)))))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax7')).
% 0.48/0.67 tff(45,plain,
% 0.48/0.67 (![OCA: $i, C: $i, SSO: $i, SCG: $i] : (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA)))),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.48/0.67 tff(46,plain,
% 0.48/0.67 (![OCA: $i, C: $i, SSO: $i, SCG: $i] : (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA)))),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[45, 41])).
% 0.48/0.67 tff(47,plain,(
% 0.48/0.67 ![OCA: $i, C: $i, SSO: $i, SCG: $i] : (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA)))),
% 0.48/0.67 inference(skolemize,[status(sab)],[46])).
% 0.48/0.67 tff(48,plain,
% 0.48/0.67 (![OCA: $i, C: $i, SSO: $i, SCG: $i] : (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA)))),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[47, 40])).
% 0.48/0.67 tff(49,plain,
% 0.48/0.67 (((~![OCA: $i, C: $i, SSO: $i, SCG: $i] : (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA)))) | ((~system_indi_is_oca(system, oca)) | admin_compartment_has_scg(admin, compartmenta, scg_compartmenta) | (~sso_compartment_has_scg(sso_compartmenta, compartmenta, scg_compartmenta)) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~oca_compartment_has_scg(oca, compartmenta, scg_compartmenta)))) <=> ((~![OCA: $i, C: $i, SSO: $i, SCG: $i] : (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA)))) | (~system_indi_is_oca(system, oca)) | admin_compartment_has_scg(admin, compartmenta, scg_compartmenta) | (~sso_compartment_has_scg(sso_compartmenta, compartmenta, scg_compartmenta)) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~oca_compartment_has_scg(oca, compartmenta, scg_compartmenta)))),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(50,plain,
% 0.48/0.67 ((admin_compartment_has_scg(admin, compartmenta, scg_compartmenta) | (~sso_compartment_has_scg(sso_compartmenta, compartmenta, scg_compartmenta)) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~oca_compartment_has_scg(oca, compartmenta, scg_compartmenta)) | (~system_indi_is_oca(system, oca))) <=> ((~system_indi_is_oca(system, oca)) | admin_compartment_has_scg(admin, compartmenta, scg_compartmenta) | (~sso_compartment_has_scg(sso_compartmenta, compartmenta, scg_compartmenta)) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~oca_compartment_has_scg(oca, compartmenta, scg_compartmenta)))),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(51,plain,
% 0.48/0.67 (((~![OCA: $i, C: $i, SSO: $i, SCG: $i] : (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA)))) | (admin_compartment_has_scg(admin, compartmenta, scg_compartmenta) | (~sso_compartment_has_scg(sso_compartmenta, compartmenta, scg_compartmenta)) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~oca_compartment_has_scg(oca, compartmenta, scg_compartmenta)) | (~system_indi_is_oca(system, oca)))) <=> ((~![OCA: $i, C: $i, SSO: $i, SCG: $i] : (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA)))) | ((~system_indi_is_oca(system, oca)) | admin_compartment_has_scg(admin, compartmenta, scg_compartmenta) | (~sso_compartment_has_scg(sso_compartmenta, compartmenta, scg_compartmenta)) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~oca_compartment_has_scg(oca, compartmenta, scg_compartmenta))))),
% 0.48/0.67 inference(monotonicity,[status(thm)],[50])).
% 0.48/0.67 tff(52,plain,
% 0.48/0.67 (((~![OCA: $i, C: $i, SSO: $i, SCG: $i] : (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA)))) | (admin_compartment_has_scg(admin, compartmenta, scg_compartmenta) | (~sso_compartment_has_scg(sso_compartmenta, compartmenta, scg_compartmenta)) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~oca_compartment_has_scg(oca, compartmenta, scg_compartmenta)) | (~system_indi_is_oca(system, oca)))) <=> ((~![OCA: $i, C: $i, SSO: $i, SCG: $i] : (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA)))) | (~system_indi_is_oca(system, oca)) | admin_compartment_has_scg(admin, compartmenta, scg_compartmenta) | (~sso_compartment_has_scg(sso_compartmenta, compartmenta, scg_compartmenta)) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~oca_compartment_has_scg(oca, compartmenta, scg_compartmenta)))),
% 0.48/0.67 inference(transitivity,[status(thm)],[51, 49])).
% 0.48/0.67 tff(53,plain,
% 0.48/0.67 ((~![OCA: $i, C: $i, SSO: $i, SCG: $i] : (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA)))) | (admin_compartment_has_scg(admin, compartmenta, scg_compartmenta) | (~sso_compartment_has_scg(sso_compartmenta, compartmenta, scg_compartmenta)) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~oca_compartment_has_scg(oca, compartmenta, scg_compartmenta)) | (~system_indi_is_oca(system, oca)))),
% 0.48/0.67 inference(quant_inst,[status(thm)],[])).
% 0.48/0.67 tff(54,plain,
% 0.48/0.67 ((~![OCA: $i, C: $i, SSO: $i, SCG: $i] : (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA)))) | (~system_indi_is_oca(system, oca)) | admin_compartment_has_scg(admin, compartmenta, scg_compartmenta) | (~sso_compartment_has_scg(sso_compartmenta, compartmenta, scg_compartmenta)) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~oca_compartment_has_scg(oca, compartmenta, scg_compartmenta))),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[53, 52])).
% 0.48/0.67 tff(55,plain,
% 0.48/0.67 (admin_compartment_has_scg(admin, compartmenta, scg_compartmenta)),
% 0.48/0.67 inference(unit_resolution,[status(thm)],[54, 48, 38, 35, 32, 29])).
% 0.48/0.67 tff(56,plain,
% 0.48/0.67 (sso_file_has_level(sso_compartmenta, secretfile, secret, scg_compartmenta) <=> sso_file_has_level(sso_compartmenta, secretfile, secret, scg_compartmenta)),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(57,axiom,(sso_file_has_level(sso_compartmenta, secretfile, secret, scg_compartmenta)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax56')).
% 0.48/0.67 tff(58,plain,
% 0.48/0.67 (sso_file_has_level(sso_compartmenta, secretfile, secret, scg_compartmenta)),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.48/0.67 tff(59,plain,
% 0.48/0.67 (^[F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : refl((admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO))) <=> (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO))))),
% 0.48/0.67 inference(bind,[status(th)],[])).
% 0.48/0.67 tff(60,plain,
% 0.48/0.67 (![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO))) <=> ![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))),
% 0.48/0.67 inference(quant_intro,[status(thm)],[59])).
% 0.48/0.67 tff(61,plain,
% 0.48/0.67 (![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO))) <=> ![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(62,plain,
% 0.48/0.67 (^[F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((admin_file_has_level_h(admin, F, L, CL) => admin_file_has_level_h(admin, F, L, cons(C, CL))) <=> ((~admin_file_has_level_h(admin, F, L, CL)) | admin_file_has_level_h(admin, F, L, cons(C, CL)))), ((sso_file_has_level(SSO, F, L, SCG) => (admin_file_has_level_h(admin, F, L, CL) => admin_file_has_level_h(admin, F, L, cons(C, CL)))) <=> (sso_file_has_level(SSO, F, L, SCG) => ((~admin_file_has_level_h(admin, F, L, CL)) | admin_file_has_level_h(admin, F, L, cons(C, CL)))))), rewrite((sso_file_has_level(SSO, F, L, SCG) => ((~admin_file_has_level_h(admin, F, L, CL)) | admin_file_has_level_h(admin, F, L, cons(C, CL)))) <=> (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)))), ((sso_file_has_level(SSO, F, L, SCG) => (admin_file_has_level_h(admin, F, L, CL) => admin_file_has_level_h(admin, F, L, cons(C, CL)))) <=> (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG))))), ((admin_compartment_has_scg(admin, C, SCG) => (sso_file_has_level(SSO, F, L, SCG) => (admin_file_has_level_h(admin, F, L, CL) => admin_file_has_level_h(admin, F, L, cons(C, CL))))) <=> (admin_compartment_has_scg(admin, C, SCG) => (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)))))), rewrite((admin_compartment_has_scg(admin, C, SCG) => (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)))) <=> (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)))), ((admin_compartment_has_scg(admin, C, SCG) => (sso_file_has_level(SSO, F, L, SCG) => (admin_file_has_level_h(admin, F, L, CL) => admin_file_has_level_h(admin, F, L, cons(C, CL))))) <=> (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG))))), ((admin_compartment_has_sso(admin, C, SSO) => (admin_compartment_has_scg(admin, C, SCG) => (sso_file_has_level(SSO, F, L, SCG) => (admin_file_has_level_h(admin, F, L, CL) => admin_file_has_level_h(admin, F, L, cons(C, CL)))))) <=> (admin_compartment_has_sso(admin, C, SSO) => (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)))))), rewrite((admin_compartment_has_sso(admin, C, SSO) => (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)))) <=> (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))), ((admin_compartment_has_sso(admin, C, SSO) => (admin_compartment_has_scg(admin, C, SCG) => (sso_file_has_level(SSO, F, L, SCG) => (admin_file_has_level_h(admin, F, L, CL) => admin_file_has_level_h(admin, F, L, cons(C, CL)))))) <=> (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))))),
% 0.48/0.67 inference(bind,[status(th)],[])).
% 0.48/0.67 tff(63,plain,
% 0.48/0.67 (![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_compartment_has_sso(admin, C, SSO) => (admin_compartment_has_scg(admin, C, SCG) => (sso_file_has_level(SSO, F, L, SCG) => (admin_file_has_level_h(admin, F, L, CL) => admin_file_has_level_h(admin, F, L, cons(C, CL)))))) <=> ![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))),
% 0.48/0.67 inference(quant_intro,[status(thm)],[62])).
% 0.48/0.67 tff(64,axiom,(![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_compartment_has_sso(admin, C, SSO) => (admin_compartment_has_scg(admin, C, SCG) => (sso_file_has_level(SSO, F, L, SCG) => (admin_file_has_level_h(admin, F, L, CL) => admin_file_has_level_h(admin, F, L, cons(C, CL))))))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax13')).
% 0.48/0.67 tff(65,plain,
% 0.48/0.67 (![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.48/0.67 tff(66,plain,
% 0.48/0.67 (![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[65, 61])).
% 0.48/0.67 tff(67,plain,(
% 0.48/0.67 ![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))),
% 0.48/0.67 inference(skolemize,[status(sab)],[66])).
% 0.48/0.67 tff(68,plain,
% 0.48/0.67 (![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))),
% 0.48/0.67 inference(modus_ponens,[status(thm)],[67, 60])).
% 0.48/0.67 tff(69,plain,
% 0.48/0.67 (((~![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))) | ((~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~sso_file_has_level(sso_compartmenta, secretfile, secret, scg_compartmenta)) | admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)) | (~admin_compartment_has_scg(admin, compartmenta, scg_compartmenta)) | (~admin_file_has_level_h(admin, secretfile, secret, nil)))) <=> ((~![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~sso_file_has_level(sso_compartmenta, secretfile, secret, scg_compartmenta)) | admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)) | (~admin_compartment_has_scg(admin, compartmenta, scg_compartmenta)) | (~admin_file_has_level_h(admin, secretfile, secret, nil)))),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(70,plain,
% 0.48/0.67 ((admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)) | (~admin_file_has_level_h(admin, secretfile, secret, nil)) | (~sso_file_has_level(sso_compartmenta, secretfile, secret, scg_compartmenta)) | (~admin_compartment_has_scg(admin, compartmenta, scg_compartmenta)) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta))) <=> ((~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~sso_file_has_level(sso_compartmenta, secretfile, secret, scg_compartmenta)) | admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)) | (~admin_compartment_has_scg(admin, compartmenta, scg_compartmenta)) | (~admin_file_has_level_h(admin, secretfile, secret, nil)))),
% 0.48/0.67 inference(rewrite,[status(thm)],[])).
% 0.48/0.67 tff(71,plain,
% 0.48/0.67 (((~![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))) | (admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)) | (~admin_file_has_level_h(admin, secretfile, secret, nil)) | (~sso_file_has_level(sso_compartmenta, secretfile, secret, scg_compartmenta)) | (~admin_compartment_has_scg(admin, compartmenta, scg_compartmenta)) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)))) <=> ((~![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))) | ((~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~sso_file_has_level(sso_compartmenta, secretfile, secret, scg_compartmenta)) | admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)) | (~admin_compartment_has_scg(admin, compartmenta, scg_compartmenta)) | (~admin_file_has_level_h(admin, secretfile, secret, nil))))),
% 0.48/0.67 inference(monotonicity,[status(thm)],[70])).
% 0.48/0.67 tff(72,plain,
% 0.48/0.67 (((~![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))) | (admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)) | (~admin_file_has_level_h(admin, secretfile, secret, nil)) | (~sso_file_has_level(sso_compartmenta, secretfile, secret, scg_compartmenta)) | (~admin_compartment_has_scg(admin, compartmenta, scg_compartmenta)) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)))) <=> ((~![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~sso_file_has_level(sso_compartmenta, secretfile, secret, scg_compartmenta)) | admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)) | (~admin_compartment_has_scg(admin, compartmenta, scg_compartmenta)) | (~admin_file_has_level_h(admin, secretfile, secret, nil)))),
% 0.48/0.67 inference(transitivity,[status(thm)],[71, 69])).
% 0.48/0.67 tff(73,plain,
% 0.48/0.67 ((~![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))) | (admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)) | (~admin_file_has_level_h(admin, secretfile, secret, nil)) | (~sso_file_has_level(sso_compartmenta, secretfile, secret, scg_compartmenta)) | (~admin_compartment_has_scg(admin, compartmenta, scg_compartmenta)) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)))),
% 0.48/0.67 inference(quant_inst,[status(thm)],[])).
% 0.48/0.67 tff(74,plain,
% 0.48/0.67 ((~![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~sso_file_has_level(sso_compartmenta, secretfile, secret, scg_compartmenta)) | admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil)) | (~admin_compartment_has_scg(admin, compartmenta, scg_compartmenta)) | (~admin_file_has_level_h(admin, secretfile, secret, nil))),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.48/0.68 tff(75,plain,
% 0.48/0.68 ($false),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[74, 68, 58, 29, 55, 12, 1])).
% 0.48/0.68 tff(76,plain,(admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil))), inference(lemma,lemma(discharge,[]))).
% 0.48/0.68 tff(77,assumption,(~admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil)))), introduced(assumption)).
% 0.48/0.68 tff(78,plain,
% 0.48/0.68 (system_compartment_has_sso(system, compartmentb, sso_compartmentb) <=> system_compartment_has_sso(system, compartmentb, sso_compartmentb)),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(79,axiom,(system_compartment_has_sso(system, compartmentb, sso_compartmentb)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax44')).
% 0.48/0.68 tff(80,plain,
% 0.48/0.68 (system_compartment_has_sso(system, compartmentb, sso_compartmentb)),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[79, 78])).
% 0.48/0.68 tff(81,plain,
% 0.48/0.68 (((~![C: $i, SSO: $i] : ((~system_compartment_has_sso(system, C, SSO)) | admin_compartment_has_sso(admin, C, SSO))) | ((~system_compartment_has_sso(system, compartmentb, sso_compartmentb)) | admin_compartment_has_sso(admin, compartmentb, sso_compartmentb))) <=> ((~![C: $i, SSO: $i] : ((~system_compartment_has_sso(system, C, SSO)) | admin_compartment_has_sso(admin, C, SSO))) | (~system_compartment_has_sso(system, compartmentb, sso_compartmentb)) | admin_compartment_has_sso(admin, compartmentb, sso_compartmentb))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(82,plain,
% 0.48/0.68 ((~![C: $i, SSO: $i] : ((~system_compartment_has_sso(system, C, SSO)) | admin_compartment_has_sso(admin, C, SSO))) | ((~system_compartment_has_sso(system, compartmentb, sso_compartmentb)) | admin_compartment_has_sso(admin, compartmentb, sso_compartmentb))),
% 0.48/0.68 inference(quant_inst,[status(thm)],[])).
% 0.48/0.68 tff(83,plain,
% 0.48/0.68 ((~![C: $i, SSO: $i] : ((~system_compartment_has_sso(system, C, SSO)) | admin_compartment_has_sso(admin, C, SSO))) | (~system_compartment_has_sso(system, compartmentb, sso_compartmentb)) | admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.48/0.68 tff(84,plain,
% 0.48/0.68 (admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[83, 25, 80])).
% 0.48/0.68 tff(85,plain,
% 0.48/0.68 (sso_compartment_has_scg(sso_compartmentb, compartmentb, scg_compartmentb) <=> sso_compartment_has_scg(sso_compartmentb, compartmentb, scg_compartmentb)),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(86,axiom,(sso_compartment_has_scg(sso_compartmentb, compartmentb, scg_compartmentb)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax46')).
% 0.48/0.68 tff(87,plain,
% 0.48/0.68 (sso_compartment_has_scg(sso_compartmentb, compartmentb, scg_compartmentb)),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.48/0.68 tff(88,plain,
% 0.48/0.68 (oca_compartment_has_scg(oca, compartmentb, scg_compartmentb) <=> oca_compartment_has_scg(oca, compartmentb, scg_compartmentb)),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(89,axiom,(oca_compartment_has_scg(oca, compartmentb, scg_compartmentb)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax45')).
% 0.48/0.68 tff(90,plain,
% 0.48/0.68 (oca_compartment_has_scg(oca, compartmentb, scg_compartmentb)),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[89, 88])).
% 0.48/0.68 tff(91,plain,
% 0.48/0.68 (((~![OCA: $i, C: $i, SSO: $i, SCG: $i] : (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA)))) | (admin_compartment_has_scg(admin, compartmentb, scg_compartmentb) | (~sso_compartment_has_scg(sso_compartmentb, compartmentb, scg_compartmentb)) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | (~oca_compartment_has_scg(oca, compartmentb, scg_compartmentb)) | (~system_indi_is_oca(system, oca)))) <=> ((~![OCA: $i, C: $i, SSO: $i, SCG: $i] : (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA)))) | admin_compartment_has_scg(admin, compartmentb, scg_compartmentb) | (~sso_compartment_has_scg(sso_compartmentb, compartmentb, scg_compartmentb)) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | (~oca_compartment_has_scg(oca, compartmentb, scg_compartmentb)) | (~system_indi_is_oca(system, oca)))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(92,plain,
% 0.48/0.68 ((~![OCA: $i, C: $i, SSO: $i, SCG: $i] : (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA)))) | (admin_compartment_has_scg(admin, compartmentb, scg_compartmentb) | (~sso_compartment_has_scg(sso_compartmentb, compartmentb, scg_compartmentb)) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | (~oca_compartment_has_scg(oca, compartmentb, scg_compartmentb)) | (~system_indi_is_oca(system, oca)))),
% 0.48/0.68 inference(quant_inst,[status(thm)],[])).
% 0.48/0.68 tff(93,plain,
% 0.48/0.68 ((~![OCA: $i, C: $i, SSO: $i, SCG: $i] : (admin_compartment_has_scg(admin, C, SCG) | (~sso_compartment_has_scg(SSO, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~oca_compartment_has_scg(OCA, C, SCG)) | (~system_indi_is_oca(system, OCA)))) | admin_compartment_has_scg(admin, compartmentb, scg_compartmentb) | (~sso_compartment_has_scg(sso_compartmentb, compartmentb, scg_compartmentb)) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | (~oca_compartment_has_scg(oca, compartmentb, scg_compartmentb)) | (~system_indi_is_oca(system, oca))),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.48/0.68 tff(94,plain,
% 0.48/0.68 (admin_compartment_has_scg(admin, compartmentb, scg_compartmentb)),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[93, 48, 38, 90, 87, 84])).
% 0.48/0.68 tff(95,plain,
% 0.48/0.68 (sso_file_has_level(sso_compartmentb, secretfile, secret, scg_compartmentb) <=> sso_file_has_level(sso_compartmentb, secretfile, secret, scg_compartmentb)),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(96,axiom,(sso_file_has_level(sso_compartmentb, secretfile, secret, scg_compartmentb)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax55')).
% 0.48/0.68 tff(97,plain,
% 0.48/0.68 (sso_file_has_level(sso_compartmentb, secretfile, secret, scg_compartmentb)),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.48/0.68 tff(98,plain,
% 0.48/0.68 (((~![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))) | ((~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | (~admin_compartment_has_scg(admin, compartmentb, scg_compartmentb)) | (~admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil))) | (~sso_file_has_level(sso_compartmentb, secretfile, secret, scg_compartmentb)) | admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))))) <=> ((~![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | (~admin_compartment_has_scg(admin, compartmentb, scg_compartmentb)) | (~admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil))) | (~sso_file_has_level(sso_compartmentb, secretfile, secret, scg_compartmentb)) | admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(99,plain,
% 0.48/0.68 ((admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))) | (~admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil))) | (~sso_file_has_level(sso_compartmentb, secretfile, secret, scg_compartmentb)) | (~admin_compartment_has_scg(admin, compartmentb, scg_compartmentb)) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb))) <=> ((~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | (~admin_compartment_has_scg(admin, compartmentb, scg_compartmentb)) | (~admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil))) | (~sso_file_has_level(sso_compartmentb, secretfile, secret, scg_compartmentb)) | admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(100,plain,
% 0.48/0.68 (((~![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))) | (admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))) | (~admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil))) | (~sso_file_has_level(sso_compartmentb, secretfile, secret, scg_compartmentb)) | (~admin_compartment_has_scg(admin, compartmentb, scg_compartmentb)) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)))) <=> ((~![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))) | ((~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | (~admin_compartment_has_scg(admin, compartmentb, scg_compartmentb)) | (~admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil))) | (~sso_file_has_level(sso_compartmentb, secretfile, secret, scg_compartmentb)) | admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil)))))),
% 0.48/0.68 inference(monotonicity,[status(thm)],[99])).
% 0.48/0.68 tff(101,plain,
% 0.48/0.68 (((~![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))) | (admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))) | (~admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil))) | (~sso_file_has_level(sso_compartmentb, secretfile, secret, scg_compartmentb)) | (~admin_compartment_has_scg(admin, compartmentb, scg_compartmentb)) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)))) <=> ((~![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | (~admin_compartment_has_scg(admin, compartmentb, scg_compartmentb)) | (~admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil))) | (~sso_file_has_level(sso_compartmentb, secretfile, secret, scg_compartmentb)) | admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))))),
% 0.48/0.68 inference(transitivity,[status(thm)],[100, 98])).
% 0.48/0.68 tff(102,plain,
% 0.48/0.68 ((~![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))) | (admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil))) | (~admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil))) | (~sso_file_has_level(sso_compartmentb, secretfile, secret, scg_compartmentb)) | (~admin_compartment_has_scg(admin, compartmentb, scg_compartmentb)) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)))),
% 0.48/0.68 inference(quant_inst,[status(thm)],[])).
% 0.48/0.68 tff(103,plain,
% 0.48/0.68 ((~![F: $i, L: $i, C: $i, CL: $i, SSO: $i, SCG: $i] : (admin_file_has_level_h(admin, F, L, cons(C, CL)) | (~admin_file_has_level_h(admin, F, L, CL)) | (~sso_file_has_level(SSO, F, L, SCG)) | (~admin_compartment_has_scg(admin, C, SCG)) | (~admin_compartment_has_sso(admin, C, SSO)))) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | (~admin_compartment_has_scg(admin, compartmentb, scg_compartmentb)) | (~admin_file_has_level_h(admin, secretfile, secret, cons(compartmenta, nil))) | (~sso_file_has_level(sso_compartmentb, secretfile, secret, scg_compartmentb)) | admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil)))),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[102, 101])).
% 0.48/0.68 tff(104,plain,
% 0.48/0.68 ($false),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[103, 68, 97, 84, 94, 77, 76])).
% 0.48/0.68 tff(105,plain,(admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil)))), inference(lemma,lemma(discharge,[]))).
% 0.48/0.68 tff(106,assumption,(~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil))), introduced(assumption)).
% 0.48/0.68 tff(107,assumption,(~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), nil)), introduced(assumption)).
% 0.48/0.68 tff(108,plain,
% 0.48/0.68 (^[F: $i, CL: $i] : refl(admin_file_has_compartments_h(admin, F, CL, nil) <=> admin_file_has_compartments_h(admin, F, CL, nil))),
% 0.48/0.68 inference(bind,[status(th)],[])).
% 0.48/0.68 tff(109,plain,
% 0.48/0.68 (![F: $i, CL: $i] : admin_file_has_compartments_h(admin, F, CL, nil) <=> ![F: $i, CL: $i] : admin_file_has_compartments_h(admin, F, CL, nil)),
% 0.48/0.68 inference(quant_intro,[status(thm)],[108])).
% 0.48/0.68 tff(110,plain,
% 0.48/0.68 (![F: $i, CL: $i] : admin_file_has_compartments_h(admin, F, CL, nil) <=> ![F: $i, CL: $i] : admin_file_has_compartments_h(admin, F, CL, nil)),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(111,axiom,(![F: $i, CL: $i] : admin_file_has_compartments_h(admin, F, CL, nil)), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax9')).
% 0.48/0.68 tff(112,plain,
% 0.48/0.68 (![F: $i, CL: $i] : admin_file_has_compartments_h(admin, F, CL, nil)),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[111, 110])).
% 0.48/0.68 tff(113,plain,(
% 0.48/0.68 ![F: $i, CL: $i] : admin_file_has_compartments_h(admin, F, CL, nil)),
% 0.48/0.68 inference(skolemize,[status(sab)],[112])).
% 0.48/0.68 tff(114,plain,
% 0.48/0.68 (![F: $i, CL: $i] : admin_file_has_compartments_h(admin, F, CL, nil)),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[113, 109])).
% 0.48/0.68 tff(115,plain,
% 0.48/0.68 ((~![F: $i, CL: $i] : admin_file_has_compartments_h(admin, F, CL, nil)) | admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), nil)),
% 0.48/0.68 inference(quant_inst,[status(thm)],[])).
% 0.48/0.68 tff(116,plain,
% 0.48/0.68 ($false),
% 0.48/0.68 inference(unit_resolution,[status(thm)],[115, 114, 107])).
% 0.48/0.68 tff(117,plain,(admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), nil)), inference(lemma,lemma(discharge,[]))).
% 0.48/0.68 tff(118,plain,
% 0.48/0.68 (sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil))) <=> sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil)))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(119,axiom,(sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax53')).
% 0.48/0.68 tff(120,plain,
% 0.48/0.68 (sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil)))),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[119, 118])).
% 0.48/0.68 tff(121,plain,
% 0.48/0.68 (^[F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : refl((admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO))) <=> (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO))))),
% 0.48/0.68 inference(bind,[status(th)],[])).
% 0.48/0.68 tff(122,plain,
% 0.48/0.68 (![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO))) <=> ![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))),
% 0.48/0.68 inference(quant_intro,[status(thm)],[121])).
% 0.48/0.68 tff(123,plain,
% 0.48/0.68 (![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO))) <=> ![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(124,plain,
% 0.48/0.68 (^[F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : trans(monotonicity(trans(monotonicity(rewrite((admin_file_has_compartments_h(admin, F, CL, CL1) => admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1))) <=> ((~admin_file_has_compartments_h(admin, F, CL, CL1)) | admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)))), ((sso_file_has_compartments(SSO, F, CL) => (admin_file_has_compartments_h(admin, F, CL, CL1) => admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)))) <=> (sso_file_has_compartments(SSO, F, CL) => ((~admin_file_has_compartments_h(admin, F, CL, CL1)) | admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)))))), rewrite((sso_file_has_compartments(SSO, F, CL) => ((~admin_file_has_compartments_h(admin, F, CL, CL1)) | admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)))) <=> (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)))), ((sso_file_has_compartments(SSO, F, CL) => (admin_file_has_compartments_h(admin, F, CL, CL1) => admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)))) <=> (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL))))), ((admin_compartment_has_sso(admin, C1, SSO) => (sso_file_has_compartments(SSO, F, CL) => (admin_file_has_compartments_h(admin, F, CL, CL1) => admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1))))) <=> (admin_compartment_has_sso(admin, C1, SSO) => (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)))))), rewrite((admin_compartment_has_sso(admin, C1, SSO) => (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)))) <=> (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))), ((admin_compartment_has_sso(admin, C1, SSO) => (sso_file_has_compartments(SSO, F, CL) => (admin_file_has_compartments_h(admin, F, CL, CL1) => admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1))))) <=> (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))))),
% 0.48/0.68 inference(bind,[status(th)],[])).
% 0.48/0.68 tff(125,plain,
% 0.48/0.68 (![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_compartment_has_sso(admin, C1, SSO) => (sso_file_has_compartments(SSO, F, CL) => (admin_file_has_compartments_h(admin, F, CL, CL1) => admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1))))) <=> ![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))),
% 0.48/0.68 inference(quant_intro,[status(thm)],[124])).
% 0.48/0.68 tff(126,axiom,(![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_compartment_has_sso(admin, C1, SSO) => (sso_file_has_compartments(SSO, F, CL) => (admin_file_has_compartments_h(admin, F, CL, CL1) => admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)))))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax10')).
% 0.48/0.68 tff(127,plain,
% 0.48/0.68 (![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[126, 125])).
% 0.48/0.68 tff(128,plain,
% 0.48/0.68 (![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[127, 123])).
% 0.48/0.68 tff(129,plain,(
% 0.48/0.68 ![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))),
% 0.48/0.68 inference(skolemize,[status(sab)],[128])).
% 0.48/0.68 tff(130,plain,
% 0.48/0.68 (![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))),
% 0.48/0.68 inference(modus_ponens,[status(thm)],[129, 122])).
% 0.48/0.68 tff(131,plain,
% 0.48/0.68 (((~![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))) | ((~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), nil)) | (~sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil)))))) <=> ((~![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), nil)) | (~sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil)))))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(132,plain,
% 0.48/0.68 ((admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), nil)) | (~sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil)))) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta))) <=> ((~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), nil)) | (~sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil)))))),
% 0.48/0.68 inference(rewrite,[status(thm)],[])).
% 0.48/0.68 tff(133,plain,
% 0.48/0.68 (((~![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))) | (admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), nil)) | (~sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil)))) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)))) <=> ((~![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))) | ((~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), nil)) | (~sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil))))))),
% 0.48/0.68 inference(monotonicity,[status(thm)],[132])).
% 0.48/0.68 tff(134,plain,
% 0.48/0.68 (((~![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))) | (admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), nil)) | (~sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil)))) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)))) <=> ((~![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), nil)) | (~sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil)))))),
% 0.48/0.68 inference(transitivity,[status(thm)],[133, 131])).
% 0.48/0.68 tff(135,plain,
% 0.48/0.68 ((~![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))) | (admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), nil)) | (~sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil)))) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)))),
% 0.48/0.69 inference(quant_inst,[status(thm)],[])).
% 0.48/0.69 tff(136,plain,
% 0.48/0.69 ((~![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil)) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), nil)) | (~sso_file_has_compartments(sso_compartmenta, secretfile, cons(compartmentb, cons(compartmenta, nil))))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[135, 134])).
% 0.48/0.69 tff(137,plain,
% 0.48/0.69 ($false),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[136, 130, 120, 29, 117, 106])).
% 0.48/0.69 tff(138,plain,(admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil))), inference(lemma,lemma(discharge,[]))).
% 0.48/0.69 tff(139,assumption,(~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil)))), introduced(assumption)).
% 0.48/0.69 tff(140,plain,
% 0.48/0.69 (sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))) <=> sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil)))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(141,axiom,(sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax52')).
% 0.48/0.69 tff(142,plain,
% 0.48/0.69 (sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil)))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[141, 140])).
% 0.48/0.69 tff(143,plain,
% 0.48/0.69 (((~![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))) | ((~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil))) | (~sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil)))))) <=> ((~![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil))) | (~sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil)))))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(144,plain,
% 0.48/0.69 ((admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil))) | (~sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil)))) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb))) <=> ((~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil))) | (~sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil)))))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(145,plain,
% 0.48/0.69 (((~![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))) | (admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil))) | (~sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil)))) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)))) <=> ((~![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))) | ((~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil))) | (~sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))))))),
% 0.48/0.69 inference(monotonicity,[status(thm)],[144])).
% 0.48/0.69 tff(146,plain,
% 0.48/0.69 (((~![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))) | (admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil))) | (~sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil)))) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)))) <=> ((~![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil))) | (~sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil)))))),
% 0.48/0.69 inference(transitivity,[status(thm)],[145, 143])).
% 0.48/0.69 tff(147,plain,
% 0.48/0.69 ((~![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))) | (admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil))) | (~sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil)))) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)))),
% 0.48/0.69 inference(quant_inst,[status(thm)],[])).
% 0.48/0.69 tff(148,plain,
% 0.48/0.69 ((~![F: $i, CL: $i, C1: $i, CL1: $i, SSO: $i] : (admin_file_has_compartments_h(admin, F, CL, cons(C1, CL1)) | (~admin_file_has_compartments_h(admin, F, CL, CL1)) | (~sso_file_has_compartments(SSO, F, CL)) | (~admin_compartment_has_sso(admin, C1, SSO)))) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmenta, nil))) | (~sso_file_has_compartments(sso_compartmentb, secretfile, cons(compartmentb, cons(compartmenta, nil))))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[147, 146])).
% 0.48/0.69 tff(149,plain,
% 0.48/0.69 ($false),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[148, 130, 142, 84, 139, 138])).
% 0.48/0.69 tff(150,plain,(admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil)))), inference(lemma,lemma(discharge,[]))).
% 0.48/0.69 tff(151,plain,
% 0.48/0.69 (system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))) <=> system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil)))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(152,axiom,(system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax51')).
% 0.48/0.69 tff(153,plain,
% 0.48/0.69 (system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil)))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[152, 151])).
% 0.48/0.69 tff(154,plain,
% 0.48/0.69 (^[F: $i, CL: $i] : refl((admin_file_has_compartments(admin, F, CL) | (~admin_file_has_compartments_h(admin, F, CL, CL)) | (~system_file_needs_compartments(system, F, CL))) <=> (admin_file_has_compartments(admin, F, CL) | (~admin_file_has_compartments_h(admin, F, CL, CL)) | (~system_file_needs_compartments(system, F, CL))))),
% 0.48/0.69 inference(bind,[status(th)],[])).
% 0.48/0.69 tff(155,plain,
% 0.48/0.69 (![F: $i, CL: $i] : (admin_file_has_compartments(admin, F, CL) | (~admin_file_has_compartments_h(admin, F, CL, CL)) | (~system_file_needs_compartments(system, F, CL))) <=> ![F: $i, CL: $i] : (admin_file_has_compartments(admin, F, CL) | (~admin_file_has_compartments_h(admin, F, CL, CL)) | (~system_file_needs_compartments(system, F, CL)))),
% 0.48/0.69 inference(quant_intro,[status(thm)],[154])).
% 0.48/0.69 tff(156,plain,
% 0.48/0.69 (![F: $i, CL: $i] : (admin_file_has_compartments(admin, F, CL) | (~admin_file_has_compartments_h(admin, F, CL, CL)) | (~system_file_needs_compartments(system, F, CL))) <=> ![F: $i, CL: $i] : (admin_file_has_compartments(admin, F, CL) | (~admin_file_has_compartments_h(admin, F, CL, CL)) | (~system_file_needs_compartments(system, F, CL)))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(157,plain,
% 0.48/0.69 (^[F: $i, CL: $i] : trans(monotonicity(rewrite((admin_file_has_compartments_h(admin, F, CL, CL) => admin_file_has_compartments(admin, F, CL)) <=> ((~admin_file_has_compartments_h(admin, F, CL, CL)) | admin_file_has_compartments(admin, F, CL))), ((system_file_needs_compartments(system, F, CL) => (admin_file_has_compartments_h(admin, F, CL, CL) => admin_file_has_compartments(admin, F, CL))) <=> (system_file_needs_compartments(system, F, CL) => ((~admin_file_has_compartments_h(admin, F, CL, CL)) | admin_file_has_compartments(admin, F, CL))))), rewrite((system_file_needs_compartments(system, F, CL) => ((~admin_file_has_compartments_h(admin, F, CL, CL)) | admin_file_has_compartments(admin, F, CL))) <=> (admin_file_has_compartments(admin, F, CL) | (~admin_file_has_compartments_h(admin, F, CL, CL)) | (~system_file_needs_compartments(system, F, CL)))), ((system_file_needs_compartments(system, F, CL) => (admin_file_has_compartments_h(admin, F, CL, CL) => admin_file_has_compartments(admin, F, CL))) <=> (admin_file_has_compartments(admin, F, CL) | (~admin_file_has_compartments_h(admin, F, CL, CL)) | (~system_file_needs_compartments(system, F, CL)))))),
% 0.48/0.69 inference(bind,[status(th)],[])).
% 0.48/0.69 tff(158,plain,
% 0.48/0.69 (![F: $i, CL: $i] : (system_file_needs_compartments(system, F, CL) => (admin_file_has_compartments_h(admin, F, CL, CL) => admin_file_has_compartments(admin, F, CL))) <=> ![F: $i, CL: $i] : (admin_file_has_compartments(admin, F, CL) | (~admin_file_has_compartments_h(admin, F, CL, CL)) | (~system_file_needs_compartments(system, F, CL)))),
% 0.48/0.69 inference(quant_intro,[status(thm)],[157])).
% 0.48/0.69 tff(159,axiom,(![F: $i, CL: $i] : (system_file_needs_compartments(system, F, CL) => (admin_file_has_compartments_h(admin, F, CL, CL) => admin_file_has_compartments(admin, F, CL)))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax8')).
% 0.48/0.69 tff(160,plain,
% 0.48/0.69 (![F: $i, CL: $i] : (admin_file_has_compartments(admin, F, CL) | (~admin_file_has_compartments_h(admin, F, CL, CL)) | (~system_file_needs_compartments(system, F, CL)))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[159, 158])).
% 0.48/0.69 tff(161,plain,
% 0.48/0.69 (![F: $i, CL: $i] : (admin_file_has_compartments(admin, F, CL) | (~admin_file_has_compartments_h(admin, F, CL, CL)) | (~system_file_needs_compartments(system, F, CL)))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[160, 156])).
% 0.48/0.69 tff(162,plain,(
% 0.48/0.69 ![F: $i, CL: $i] : (admin_file_has_compartments(admin, F, CL) | (~admin_file_has_compartments_h(admin, F, CL, CL)) | (~system_file_needs_compartments(system, F, CL)))),
% 0.48/0.69 inference(skolemize,[status(sab)],[161])).
% 0.48/0.69 tff(163,plain,
% 0.48/0.69 (![F: $i, CL: $i] : (admin_file_has_compartments(admin, F, CL) | (~admin_file_has_compartments_h(admin, F, CL, CL)) | (~system_file_needs_compartments(system, F, CL)))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[162, 155])).
% 0.48/0.69 tff(164,plain,
% 0.48/0.69 (((~![F: $i, CL: $i] : (admin_file_has_compartments(admin, F, CL) | (~admin_file_has_compartments_h(admin, F, CL, CL)) | (~system_file_needs_compartments(system, F, CL)))) | (admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil)))) | (~system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil)))))) <=> ((~![F: $i, CL: $i] : (admin_file_has_compartments(admin, F, CL) | (~admin_file_has_compartments_h(admin, F, CL, CL)) | (~system_file_needs_compartments(system, F, CL)))) | admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil)))) | (~system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil)))))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(165,plain,
% 0.48/0.69 ((~![F: $i, CL: $i] : (admin_file_has_compartments(admin, F, CL) | (~admin_file_has_compartments_h(admin, F, CL, CL)) | (~system_file_needs_compartments(system, F, CL)))) | (admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil)))) | (~system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil)))))),
% 0.48/0.69 inference(quant_inst,[status(thm)],[])).
% 0.48/0.69 tff(166,plain,
% 0.48/0.69 ((~![F: $i, CL: $i] : (admin_file_has_compartments(admin, F, CL) | (~admin_file_has_compartments_h(admin, F, CL, CL)) | (~system_file_needs_compartments(system, F, CL)))) | admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil)))) | (~system_file_needs_compartments(system, secretfile, cons(compartmentb, cons(compartmenta, nil))))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[165, 164])).
% 0.48/0.69 tff(167,plain,
% 0.48/0.69 (admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))) | (~admin_file_has_compartments_h(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)), cons(compartmentb, cons(compartmenta, nil))))),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[166, 163, 153])).
% 0.48/0.69 tff(168,plain,
% 0.48/0.69 (admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)))),
% 0.48/0.69 inference(unit_resolution,[status(thm)],[167, 150])).
% 0.48/0.69 tff(169,plain,
% 0.48/0.69 (system_file_needs_level(system, secretfile, secret) <=> system_file_needs_level(system, secretfile, secret)),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(170,axiom,(system_file_needs_level(system, secretfile, secret)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax54')).
% 0.48/0.69 tff(171,plain,
% 0.48/0.69 (system_file_needs_level(system, secretfile, secret)),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[170, 169])).
% 0.48/0.69 tff(172,plain,
% 0.48/0.69 (^[F: $i, L: $i, CL: $i] : refl((admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)) | (~system_file_needs_level(system, F, L))) <=> (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)) | (~system_file_needs_level(system, F, L))))),
% 0.48/0.69 inference(bind,[status(th)],[])).
% 0.48/0.69 tff(173,plain,
% 0.48/0.69 (![F: $i, L: $i, CL: $i] : (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)) | (~system_file_needs_level(system, F, L))) <=> ![F: $i, L: $i, CL: $i] : (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)) | (~system_file_needs_level(system, F, L)))),
% 0.48/0.69 inference(quant_intro,[status(thm)],[172])).
% 0.48/0.69 tff(174,plain,
% 0.48/0.69 (![F: $i, L: $i, CL: $i] : (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)) | (~system_file_needs_level(system, F, L))) <=> ![F: $i, L: $i, CL: $i] : (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)) | (~system_file_needs_level(system, F, L)))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(175,plain,
% 0.48/0.69 (^[F: $i, L: $i, CL: $i] : trans(monotonicity(trans(monotonicity(rewrite((admin_file_has_level_h(admin, F, L, CL) => admin_file_has_level(admin, F, L)) <=> ((~admin_file_has_level_h(admin, F, L, CL)) | admin_file_has_level(admin, F, L))), ((admin_file_has_compartments(admin, F, CL) => (admin_file_has_level_h(admin, F, L, CL) => admin_file_has_level(admin, F, L))) <=> (admin_file_has_compartments(admin, F, CL) => ((~admin_file_has_level_h(admin, F, L, CL)) | admin_file_has_level(admin, F, L))))), rewrite((admin_file_has_compartments(admin, F, CL) => ((~admin_file_has_level_h(admin, F, L, CL)) | admin_file_has_level(admin, F, L))) <=> (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)))), ((admin_file_has_compartments(admin, F, CL) => (admin_file_has_level_h(admin, F, L, CL) => admin_file_has_level(admin, F, L))) <=> (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL))))), ((system_file_needs_level(system, F, L) => (admin_file_has_compartments(admin, F, CL) => (admin_file_has_level_h(admin, F, L, CL) => admin_file_has_level(admin, F, L)))) <=> (system_file_needs_level(system, F, L) => (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)))))), rewrite((system_file_needs_level(system, F, L) => (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)))) <=> (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)) | (~system_file_needs_level(system, F, L)))), ((system_file_needs_level(system, F, L) => (admin_file_has_compartments(admin, F, CL) => (admin_file_has_level_h(admin, F, L, CL) => admin_file_has_level(admin, F, L)))) <=> (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)) | (~system_file_needs_level(system, F, L)))))),
% 0.48/0.69 inference(bind,[status(th)],[])).
% 0.48/0.69 tff(176,plain,
% 0.48/0.69 (![F: $i, L: $i, CL: $i] : (system_file_needs_level(system, F, L) => (admin_file_has_compartments(admin, F, CL) => (admin_file_has_level_h(admin, F, L, CL) => admin_file_has_level(admin, F, L)))) <=> ![F: $i, L: $i, CL: $i] : (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)) | (~system_file_needs_level(system, F, L)))),
% 0.48/0.69 inference(quant_intro,[status(thm)],[175])).
% 0.48/0.69 tff(177,axiom,(![F: $i, L: $i, CL: $i] : (system_file_needs_level(system, F, L) => (admin_file_has_compartments(admin, F, CL) => (admin_file_has_level_h(admin, F, L, CL) => admin_file_has_level(admin, F, L))))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax11')).
% 0.48/0.69 tff(178,plain,
% 0.48/0.69 (![F: $i, L: $i, CL: $i] : (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)) | (~system_file_needs_level(system, F, L)))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[177, 176])).
% 0.48/0.69 tff(179,plain,
% 0.48/0.69 (![F: $i, L: $i, CL: $i] : (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)) | (~system_file_needs_level(system, F, L)))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[178, 174])).
% 0.48/0.69 tff(180,plain,(
% 0.48/0.69 ![F: $i, L: $i, CL: $i] : (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)) | (~system_file_needs_level(system, F, L)))),
% 0.48/0.69 inference(skolemize,[status(sab)],[179])).
% 0.48/0.69 tff(181,plain,
% 0.48/0.69 (![F: $i, L: $i, CL: $i] : (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)) | (~system_file_needs_level(system, F, L)))),
% 0.48/0.69 inference(modus_ponens,[status(thm)],[180, 173])).
% 0.48/0.69 tff(182,plain,
% 0.48/0.69 (((~![F: $i, L: $i, CL: $i] : (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)) | (~system_file_needs_level(system, F, L)))) | ((~admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)))) | (~admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil)))) | admin_file_has_level(admin, secretfile, secret) | (~system_file_needs_level(system, secretfile, secret)))) <=> ((~![F: $i, L: $i, CL: $i] : (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)) | (~system_file_needs_level(system, F, L)))) | (~admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)))) | (~admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil)))) | admin_file_has_level(admin, secretfile, secret) | (~system_file_needs_level(system, secretfile, secret)))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(183,plain,
% 0.48/0.69 ((admin_file_has_level(admin, secretfile, secret) | (~admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil)))) | (~admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)))) | (~system_file_needs_level(system, secretfile, secret))) <=> ((~admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)))) | (~admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil)))) | admin_file_has_level(admin, secretfile, secret) | (~system_file_needs_level(system, secretfile, secret)))),
% 0.48/0.69 inference(rewrite,[status(thm)],[])).
% 0.48/0.69 tff(184,plain,
% 0.48/0.69 (((~![F: $i, L: $i, CL: $i] : (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)) | (~system_file_needs_level(system, F, L)))) | (admin_file_has_level(admin, secretfile, secret) | (~admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil)))) | (~admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)))) | (~system_file_needs_level(system, secretfile, secret)))) <=> ((~![F: $i, L: $i, CL: $i] : (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)) | (~system_file_needs_level(system, F, L)))) | ((~admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)))) | (~admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil)))) | admin_file_has_level(admin, secretfile, secret) | (~system_file_needs_level(system, secretfile, secret))))),
% 0.48/0.70 inference(monotonicity,[status(thm)],[183])).
% 0.48/0.70 tff(185,plain,
% 0.48/0.70 (((~![F: $i, L: $i, CL: $i] : (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)) | (~system_file_needs_level(system, F, L)))) | (admin_file_has_level(admin, secretfile, secret) | (~admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil)))) | (~admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)))) | (~system_file_needs_level(system, secretfile, secret)))) <=> ((~![F: $i, L: $i, CL: $i] : (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)) | (~system_file_needs_level(system, F, L)))) | (~admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)))) | (~admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil)))) | admin_file_has_level(admin, secretfile, secret) | (~system_file_needs_level(system, secretfile, secret)))),
% 0.48/0.70 inference(transitivity,[status(thm)],[184, 182])).
% 0.48/0.70 tff(186,plain,
% 0.48/0.70 ((~![F: $i, L: $i, CL: $i] : (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)) | (~system_file_needs_level(system, F, L)))) | (admin_file_has_level(admin, secretfile, secret) | (~admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil)))) | (~admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)))) | (~system_file_needs_level(system, secretfile, secret)))),
% 0.48/0.70 inference(quant_inst,[status(thm)],[])).
% 0.48/0.70 tff(187,plain,
% 0.48/0.70 ((~![F: $i, L: $i, CL: $i] : (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)) | (~system_file_needs_level(system, F, L)))) | (~admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)))) | (~admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil)))) | admin_file_has_level(admin, secretfile, secret) | (~system_file_needs_level(system, secretfile, secret))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[186, 185])).
% 0.48/0.70 tff(188,plain,
% 0.48/0.70 ((~admin_file_has_level_h(admin, secretfile, secret, cons(compartmentb, cons(compartmenta, nil)))) | admin_file_has_level(admin, secretfile, secret)),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[187, 181, 171, 168])).
% 0.48/0.70 tff(189,plain,
% 0.48/0.70 (admin_file_has_level(admin, secretfile, secret)),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[188, 105])).
% 0.48/0.70 tff(190,assumption,(~loca_level_below(admin, secret, secret)), introduced(assumption)).
% 0.48/0.70 tff(191,plain,
% 0.48/0.70 (^[K: $i, L: $i] : refl(loca_level_below(K, L, L) <=> loca_level_below(K, L, L))),
% 0.48/0.70 inference(bind,[status(th)],[])).
% 0.48/0.70 tff(192,plain,
% 0.48/0.70 (![K: $i, L: $i] : loca_level_below(K, L, L) <=> ![K: $i, L: $i] : loca_level_below(K, L, L)),
% 0.48/0.70 inference(quant_intro,[status(thm)],[191])).
% 0.48/0.70 tff(193,plain,
% 0.48/0.70 (![K: $i, L: $i] : loca_level_below(K, L, L) <=> ![K: $i, L: $i] : loca_level_below(K, L, L)),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(194,axiom,(![K: $i, L: $i] : loca_level_below(K, L, L)), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax4')).
% 0.48/0.70 tff(195,plain,
% 0.48/0.70 (![K: $i, L: $i] : loca_level_below(K, L, L)),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[194, 193])).
% 0.48/0.70 tff(196,plain,(
% 0.48/0.70 ![K: $i, L: $i] : loca_level_below(K, L, L)),
% 0.48/0.70 inference(skolemize,[status(sab)],[195])).
% 0.48/0.70 tff(197,plain,
% 0.48/0.70 (![K: $i, L: $i] : loca_level_below(K, L, L)),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[196, 192])).
% 0.48/0.70 tff(198,plain,
% 0.48/0.70 ((~![K: $i, L: $i] : loca_level_below(K, L, L)) | loca_level_below(admin, secret, secret)),
% 0.48/0.70 inference(quant_inst,[status(thm)],[])).
% 0.48/0.70 tff(199,plain,
% 0.48/0.70 ($false),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[198, 197, 190])).
% 0.48/0.70 tff(200,plain,(loca_level_below(admin, secret, secret)), inference(lemma,lemma(discharge,[]))).
% 0.48/0.70 tff(201,assumption,(~loca_level_direct_below(admin, secret, topsecret)), introduced(assumption)).
% 0.48/0.70 tff(202,plain,
% 0.48/0.70 (^[K: $i] : refl(loca_level_direct_below(K, secret, topsecret) <=> loca_level_direct_below(K, secret, topsecret))),
% 0.48/0.70 inference(bind,[status(th)],[])).
% 0.48/0.70 tff(203,plain,
% 0.48/0.70 (![K: $i] : loca_level_direct_below(K, secret, topsecret) <=> ![K: $i] : loca_level_direct_below(K, secret, topsecret)),
% 0.48/0.70 inference(quant_intro,[status(thm)],[202])).
% 0.48/0.70 tff(204,plain,
% 0.48/0.70 (![K: $i] : loca_level_direct_below(K, secret, topsecret) <=> ![K: $i] : loca_level_direct_below(K, secret, topsecret)),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(205,axiom,(![K: $i] : loca_level_direct_below(K, secret, topsecret)), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax3')).
% 0.48/0.70 tff(206,plain,
% 0.48/0.70 (![K: $i] : loca_level_direct_below(K, secret, topsecret)),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[205, 204])).
% 0.48/0.70 tff(207,plain,(
% 0.48/0.70 ![K: $i] : loca_level_direct_below(K, secret, topsecret)),
% 0.48/0.70 inference(skolemize,[status(sab)],[206])).
% 0.48/0.70 tff(208,plain,
% 0.48/0.70 (![K: $i] : loca_level_direct_below(K, secret, topsecret)),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[207, 203])).
% 0.48/0.70 tff(209,plain,
% 0.48/0.70 ((~![K: $i] : loca_level_direct_below(K, secret, topsecret)) | loca_level_direct_below(admin, secret, topsecret)),
% 0.48/0.70 inference(quant_inst,[status(thm)],[])).
% 0.48/0.70 tff(210,plain,
% 0.48/0.70 ($false),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[209, 208, 201])).
% 0.48/0.70 tff(211,plain,(loca_level_direct_below(admin, secret, topsecret)), inference(lemma,lemma(discharge,[]))).
% 0.48/0.70 tff(212,plain,
% 0.48/0.70 (^[K: $i, L: $i, L1: $i, L11: $i] : refl((loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11))) <=> (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11))))),
% 0.48/0.70 inference(bind,[status(th)],[])).
% 0.48/0.70 tff(213,plain,
% 0.48/0.70 (![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11))) <=> ![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))),
% 0.48/0.70 inference(quant_intro,[status(thm)],[212])).
% 0.48/0.70 tff(214,plain,
% 0.48/0.70 (![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11))) <=> ![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(215,plain,
% 0.48/0.70 (^[K: $i, L: $i, L1: $i, L11: $i] : trans(monotonicity(rewrite((loca_level_below(K, L, L1) => loca_level_below(K, L, L11)) <=> ((~loca_level_below(K, L, L1)) | loca_level_below(K, L, L11))), ((loca_level_direct_below(K, L1, L11) => (loca_level_below(K, L, L1) => loca_level_below(K, L, L11))) <=> (loca_level_direct_below(K, L1, L11) => ((~loca_level_below(K, L, L1)) | loca_level_below(K, L, L11))))), rewrite((loca_level_direct_below(K, L1, L11) => ((~loca_level_below(K, L, L1)) | loca_level_below(K, L, L11))) <=> (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))), ((loca_level_direct_below(K, L1, L11) => (loca_level_below(K, L, L1) => loca_level_below(K, L, L11))) <=> (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))))),
% 0.48/0.70 inference(bind,[status(th)],[])).
% 0.48/0.70 tff(216,plain,
% 0.48/0.70 (![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_direct_below(K, L1, L11) => (loca_level_below(K, L, L1) => loca_level_below(K, L, L11))) <=> ![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))),
% 0.48/0.70 inference(quant_intro,[status(thm)],[215])).
% 0.48/0.70 tff(217,axiom,(![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_direct_below(K, L1, L11) => (loca_level_below(K, L, L1) => loca_level_below(K, L, L11)))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax5')).
% 0.48/0.70 tff(218,plain,
% 0.48/0.70 (![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[217, 216])).
% 0.48/0.70 tff(219,plain,
% 0.48/0.70 (![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[218, 214])).
% 0.48/0.70 tff(220,plain,(
% 0.48/0.70 ![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))),
% 0.48/0.70 inference(skolemize,[status(sab)],[219])).
% 0.48/0.70 tff(221,plain,
% 0.48/0.70 (![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[220, 213])).
% 0.48/0.70 tff(222,plain,
% 0.48/0.70 (((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | ((~loca_level_direct_below(admin, secret, topsecret)) | loca_level_below(admin, secret, topsecret) | (~loca_level_below(admin, secret, secret)))) <=> ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (~loca_level_direct_below(admin, secret, topsecret)) | loca_level_below(admin, secret, topsecret) | (~loca_level_below(admin, secret, secret)))),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(223,plain,
% 0.48/0.70 ((loca_level_below(admin, secret, topsecret) | (~loca_level_below(admin, secret, secret)) | (~loca_level_direct_below(admin, secret, topsecret))) <=> ((~loca_level_direct_below(admin, secret, topsecret)) | loca_level_below(admin, secret, topsecret) | (~loca_level_below(admin, secret, secret)))),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(224,plain,
% 0.48/0.70 (((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (loca_level_below(admin, secret, topsecret) | (~loca_level_below(admin, secret, secret)) | (~loca_level_direct_below(admin, secret, topsecret)))) <=> ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | ((~loca_level_direct_below(admin, secret, topsecret)) | loca_level_below(admin, secret, topsecret) | (~loca_level_below(admin, secret, secret))))),
% 0.48/0.70 inference(monotonicity,[status(thm)],[223])).
% 0.48/0.70 tff(225,plain,
% 0.48/0.70 (((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (loca_level_below(admin, secret, topsecret) | (~loca_level_below(admin, secret, secret)) | (~loca_level_direct_below(admin, secret, topsecret)))) <=> ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (~loca_level_direct_below(admin, secret, topsecret)) | loca_level_below(admin, secret, topsecret) | (~loca_level_below(admin, secret, secret)))),
% 0.48/0.70 inference(transitivity,[status(thm)],[224, 222])).
% 0.48/0.70 tff(226,plain,
% 0.48/0.70 ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (loca_level_below(admin, secret, topsecret) | (~loca_level_below(admin, secret, secret)) | (~loca_level_direct_below(admin, secret, topsecret)))),
% 0.48/0.70 inference(quant_inst,[status(thm)],[])).
% 0.48/0.70 tff(227,plain,
% 0.48/0.70 ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (~loca_level_direct_below(admin, secret, topsecret)) | loca_level_below(admin, secret, topsecret) | (~loca_level_below(admin, secret, secret))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[226, 225])).
% 0.48/0.70 tff(228,plain,
% 0.48/0.70 (loca_level_below(admin, secret, topsecret) | (~loca_level_below(admin, secret, secret))),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[227, 221, 211])).
% 0.48/0.70 tff(229,plain,
% 0.48/0.70 (loca_level_below(admin, secret, topsecret)),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[228, 200])).
% 0.48/0.70 tff(230,assumption,(~admin_indi_has_background(admin, alice, secret)), introduced(assumption)).
% 0.48/0.70 tff(231,plain,
% 0.48/0.70 (background_admin_indi_has_background(background_admin, alice, topsecret) <=> background_admin_indi_has_background(background_admin, alice, topsecret)),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(232,axiom,(background_admin_indi_has_background(background_admin, alice, topsecret)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax74')).
% 0.48/0.70 tff(233,plain,
% 0.48/0.70 (background_admin_indi_has_background(background_admin, alice, topsecret)),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[232, 231])).
% 0.48/0.70 tff(234,plain,
% 0.48/0.70 (system_indi_is_background_admin(system, background_admin) <=> system_indi_is_background_admin(system, background_admin)),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(235,axiom,(system_indi_is_background_admin(system, background_admin)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax68')).
% 0.48/0.70 tff(236,plain,
% 0.48/0.70 (system_indi_is_background_admin(system, background_admin)),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[235, 234])).
% 0.48/0.70 tff(237,plain,
% 0.48/0.70 (^[K: $i, L: $i, BA: $i, L1: $i] : refl((admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA))) <=> (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA))))),
% 0.48/0.70 inference(bind,[status(th)],[])).
% 0.48/0.70 tff(238,plain,
% 0.48/0.70 (![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA))) <=> ![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))),
% 0.48/0.70 inference(quant_intro,[status(thm)],[237])).
% 0.48/0.70 tff(239,plain,
% 0.48/0.70 (![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA))) <=> ![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(240,plain,
% 0.48/0.70 (^[K: $i, L: $i, BA: $i, L1: $i] : trans(monotonicity(trans(monotonicity(rewrite((loca_level_below(admin, L, L1) => admin_indi_has_background(admin, K, L)) <=> ((~loca_level_below(admin, L, L1)) | admin_indi_has_background(admin, K, L))), ((background_admin_indi_has_background(BA, K, L1) => (loca_level_below(admin, L, L1) => admin_indi_has_background(admin, K, L))) <=> (background_admin_indi_has_background(BA, K, L1) => ((~loca_level_below(admin, L, L1)) | admin_indi_has_background(admin, K, L))))), rewrite((background_admin_indi_has_background(BA, K, L1) => ((~loca_level_below(admin, L, L1)) | admin_indi_has_background(admin, K, L))) <=> (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)))), ((background_admin_indi_has_background(BA, K, L1) => (loca_level_below(admin, L, L1) => admin_indi_has_background(admin, K, L))) <=> (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1))))), ((system_indi_is_background_admin(system, BA) => (background_admin_indi_has_background(BA, K, L1) => (loca_level_below(admin, L, L1) => admin_indi_has_background(admin, K, L)))) <=> (system_indi_is_background_admin(system, BA) => (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)))))), rewrite((system_indi_is_background_admin(system, BA) => (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)))) <=> (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))), ((system_indi_is_background_admin(system, BA) => (background_admin_indi_has_background(BA, K, L1) => (loca_level_below(admin, L, L1) => admin_indi_has_background(admin, K, L)))) <=> (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))))),
% 0.48/0.70 inference(bind,[status(th)],[])).
% 0.48/0.70 tff(241,plain,
% 0.48/0.70 (![K: $i, L: $i, BA: $i, L1: $i] : (system_indi_is_background_admin(system, BA) => (background_admin_indi_has_background(BA, K, L1) => (loca_level_below(admin, L, L1) => admin_indi_has_background(admin, K, L)))) <=> ![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))),
% 0.48/0.70 inference(quant_intro,[status(thm)],[240])).
% 0.48/0.70 tff(242,axiom,(![K: $i, L: $i, BA: $i, L1: $i] : (system_indi_is_background_admin(system, BA) => (background_admin_indi_has_background(BA, K, L1) => (loca_level_below(admin, L, L1) => admin_indi_has_background(admin, K, L))))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax20')).
% 0.48/0.70 tff(243,plain,
% 0.48/0.70 (![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[242, 241])).
% 0.48/0.70 tff(244,plain,
% 0.48/0.70 (![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[243, 239])).
% 0.48/0.70 tff(245,plain,(
% 0.48/0.70 ![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))),
% 0.48/0.70 inference(skolemize,[status(sab)],[244])).
% 0.48/0.70 tff(246,plain,
% 0.48/0.70 (![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[245, 238])).
% 0.48/0.70 tff(247,plain,
% 0.48/0.70 (((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | ((~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | admin_indi_has_background(admin, alice, secret) | (~loca_level_below(admin, secret, topsecret)))) <=> ((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | admin_indi_has_background(admin, alice, secret) | (~loca_level_below(admin, secret, topsecret)))),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(248,plain,
% 0.48/0.70 ((admin_indi_has_background(admin, alice, secret) | (~loca_level_below(admin, secret, topsecret)) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin))) <=> ((~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | admin_indi_has_background(admin, alice, secret) | (~loca_level_below(admin, secret, topsecret)))),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(249,plain,
% 0.48/0.70 (((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (admin_indi_has_background(admin, alice, secret) | (~loca_level_below(admin, secret, topsecret)) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)))) <=> ((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | ((~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | admin_indi_has_background(admin, alice, secret) | (~loca_level_below(admin, secret, topsecret))))),
% 0.48/0.70 inference(monotonicity,[status(thm)],[248])).
% 0.48/0.70 tff(250,plain,
% 0.48/0.70 (((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (admin_indi_has_background(admin, alice, secret) | (~loca_level_below(admin, secret, topsecret)) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)))) <=> ((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | admin_indi_has_background(admin, alice, secret) | (~loca_level_below(admin, secret, topsecret)))),
% 0.48/0.70 inference(transitivity,[status(thm)],[249, 247])).
% 0.48/0.70 tff(251,plain,
% 0.48/0.70 ((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (admin_indi_has_background(admin, alice, secret) | (~loca_level_below(admin, secret, topsecret)) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)))),
% 0.48/0.70 inference(quant_inst,[status(thm)],[])).
% 0.48/0.70 tff(252,plain,
% 0.48/0.70 ((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | admin_indi_has_background(admin, alice, secret) | (~loca_level_below(admin, secret, topsecret))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[251, 250])).
% 0.48/0.70 tff(253,plain,
% 0.48/0.70 ($false),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[252, 246, 236, 233, 230, 229])).
% 0.48/0.70 tff(254,plain,(admin_indi_has_background(admin, alice, secret)), inference(lemma,lemma(discharge,[]))).
% 0.48/0.70 tff(255,plain,
% 0.48/0.70 (system_indi_has_citizenship(system, alice, usa) <=> system_indi_has_citizenship(system, alice, usa)),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(256,axiom,(system_indi_has_citizenship(system, alice, usa)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax71')).
% 0.48/0.70 tff(257,plain,
% 0.48/0.70 (system_indi_has_citizenship(system, alice, usa)),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[256, 255])).
% 0.48/0.70 tff(258,plain,
% 0.48/0.70 (^[K: $i, U: $i] : refl(((~system_indi_has_citizenship(system, K, U)) | admin_indi_has_citizenship(admin, K, U)) <=> ((~system_indi_has_citizenship(system, K, U)) | admin_indi_has_citizenship(admin, K, U)))),
% 0.48/0.70 inference(bind,[status(th)],[])).
% 0.48/0.70 tff(259,plain,
% 0.48/0.70 (![K: $i, U: $i] : ((~system_indi_has_citizenship(system, K, U)) | admin_indi_has_citizenship(admin, K, U)) <=> ![K: $i, U: $i] : ((~system_indi_has_citizenship(system, K, U)) | admin_indi_has_citizenship(admin, K, U))),
% 0.48/0.70 inference(quant_intro,[status(thm)],[258])).
% 0.48/0.70 tff(260,plain,
% 0.48/0.70 (![K: $i, U: $i] : ((~system_indi_has_citizenship(system, K, U)) | admin_indi_has_citizenship(admin, K, U)) <=> ![K: $i, U: $i] : ((~system_indi_has_citizenship(system, K, U)) | admin_indi_has_citizenship(admin, K, U))),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(261,plain,
% 0.48/0.70 (^[K: $i, U: $i] : rewrite((system_indi_has_citizenship(system, K, U) => admin_indi_has_citizenship(admin, K, U)) <=> ((~system_indi_has_citizenship(system, K, U)) | admin_indi_has_citizenship(admin, K, U)))),
% 0.48/0.70 inference(bind,[status(th)],[])).
% 0.48/0.70 tff(262,plain,
% 0.48/0.70 (![K: $i, U: $i] : (system_indi_has_citizenship(system, K, U) => admin_indi_has_citizenship(admin, K, U)) <=> ![K: $i, U: $i] : ((~system_indi_has_citizenship(system, K, U)) | admin_indi_has_citizenship(admin, K, U))),
% 0.48/0.70 inference(quant_intro,[status(thm)],[261])).
% 0.48/0.70 tff(263,axiom,(![K: $i, U: $i] : (system_indi_has_citizenship(system, K, U) => admin_indi_has_citizenship(admin, K, U))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax23')).
% 0.48/0.70 tff(264,plain,
% 0.48/0.70 (![K: $i, U: $i] : ((~system_indi_has_citizenship(system, K, U)) | admin_indi_has_citizenship(admin, K, U))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[263, 262])).
% 0.48/0.70 tff(265,plain,
% 0.48/0.70 (![K: $i, U: $i] : ((~system_indi_has_citizenship(system, K, U)) | admin_indi_has_citizenship(admin, K, U))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[264, 260])).
% 0.48/0.70 tff(266,plain,(
% 0.48/0.70 ![K: $i, U: $i] : ((~system_indi_has_citizenship(system, K, U)) | admin_indi_has_citizenship(admin, K, U))),
% 0.48/0.70 inference(skolemize,[status(sab)],[265])).
% 0.48/0.70 tff(267,plain,
% 0.48/0.70 (![K: $i, U: $i] : ((~system_indi_has_citizenship(system, K, U)) | admin_indi_has_citizenship(admin, K, U))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[266, 259])).
% 0.48/0.70 tff(268,plain,
% 0.48/0.70 (((~![K: $i, U: $i] : ((~system_indi_has_citizenship(system, K, U)) | admin_indi_has_citizenship(admin, K, U))) | ((~system_indi_has_citizenship(system, alice, usa)) | admin_indi_has_citizenship(admin, alice, usa))) <=> ((~![K: $i, U: $i] : ((~system_indi_has_citizenship(system, K, U)) | admin_indi_has_citizenship(admin, K, U))) | (~system_indi_has_citizenship(system, alice, usa)) | admin_indi_has_citizenship(admin, alice, usa))),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(269,plain,
% 0.48/0.70 ((~![K: $i, U: $i] : ((~system_indi_has_citizenship(system, K, U)) | admin_indi_has_citizenship(admin, K, U))) | ((~system_indi_has_citizenship(system, alice, usa)) | admin_indi_has_citizenship(admin, alice, usa))),
% 0.48/0.70 inference(quant_inst,[status(thm)],[])).
% 0.48/0.70 tff(270,plain,
% 0.48/0.70 ((~![K: $i, U: $i] : ((~system_indi_has_citizenship(system, K, U)) | admin_indi_has_citizenship(admin, K, U))) | (~system_indi_has_citizenship(system, alice, usa)) | admin_indi_has_citizenship(admin, alice, usa)),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[269, 268])).
% 0.48/0.70 tff(271,plain,
% 0.48/0.70 (admin_indi_has_citizenship(admin, alice, usa)),
% 0.48/0.70 inference(unit_resolution,[status(thm)],[270, 267, 257])).
% 0.48/0.70 tff(272,plain,
% 0.48/0.70 (hr_admin_indi_has_employment(hr_admin, alice) <=> hr_admin_indi_has_employment(hr_admin, alice)),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(273,axiom,(hr_admin_indi_has_employment(hr_admin, alice)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax75')).
% 0.48/0.70 tff(274,plain,
% 0.48/0.70 (hr_admin_indi_has_employment(hr_admin, alice)),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[273, 272])).
% 0.48/0.70 tff(275,plain,
% 0.48/0.70 (system_indi_is_hr_admin(system, hr_admin) <=> system_indi_is_hr_admin(system, hr_admin)),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(276,axiom,(system_indi_is_hr_admin(system, hr_admin)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax69')).
% 0.48/0.70 tff(277,plain,
% 0.48/0.70 (system_indi_is_hr_admin(system, hr_admin)),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[276, 275])).
% 0.48/0.70 tff(278,plain,
% 0.48/0.70 (^[K: $i, HR: $i] : refl((admin_indi_has_employment(admin, K) | (~hr_admin_indi_has_employment(HR, K)) | (~system_indi_is_hr_admin(system, HR))) <=> (admin_indi_has_employment(admin, K) | (~hr_admin_indi_has_employment(HR, K)) | (~system_indi_is_hr_admin(system, HR))))),
% 0.48/0.70 inference(bind,[status(th)],[])).
% 0.48/0.70 tff(279,plain,
% 0.48/0.70 (![K: $i, HR: $i] : (admin_indi_has_employment(admin, K) | (~hr_admin_indi_has_employment(HR, K)) | (~system_indi_is_hr_admin(system, HR))) <=> ![K: $i, HR: $i] : (admin_indi_has_employment(admin, K) | (~hr_admin_indi_has_employment(HR, K)) | (~system_indi_is_hr_admin(system, HR)))),
% 0.48/0.70 inference(quant_intro,[status(thm)],[278])).
% 0.48/0.70 tff(280,plain,
% 0.48/0.70 (![K: $i, HR: $i] : (admin_indi_has_employment(admin, K) | (~hr_admin_indi_has_employment(HR, K)) | (~system_indi_is_hr_admin(system, HR))) <=> ![K: $i, HR: $i] : (admin_indi_has_employment(admin, K) | (~hr_admin_indi_has_employment(HR, K)) | (~system_indi_is_hr_admin(system, HR)))),
% 0.48/0.70 inference(rewrite,[status(thm)],[])).
% 0.48/0.70 tff(281,plain,
% 0.48/0.70 (^[K: $i, HR: $i] : trans(monotonicity(rewrite((hr_admin_indi_has_employment(HR, K) => admin_indi_has_employment(admin, K)) <=> ((~hr_admin_indi_has_employment(HR, K)) | admin_indi_has_employment(admin, K))), ((system_indi_is_hr_admin(system, HR) => (hr_admin_indi_has_employment(HR, K) => admin_indi_has_employment(admin, K))) <=> (system_indi_is_hr_admin(system, HR) => ((~hr_admin_indi_has_employment(HR, K)) | admin_indi_has_employment(admin, K))))), rewrite((system_indi_is_hr_admin(system, HR) => ((~hr_admin_indi_has_employment(HR, K)) | admin_indi_has_employment(admin, K))) <=> (admin_indi_has_employment(admin, K) | (~hr_admin_indi_has_employment(HR, K)) | (~system_indi_is_hr_admin(system, HR)))), ((system_indi_is_hr_admin(system, HR) => (hr_admin_indi_has_employment(HR, K) => admin_indi_has_employment(admin, K))) <=> (admin_indi_has_employment(admin, K) | (~hr_admin_indi_has_employment(HR, K)) | (~system_indi_is_hr_admin(system, HR)))))),
% 0.48/0.70 inference(bind,[status(th)],[])).
% 0.48/0.70 tff(282,plain,
% 0.48/0.70 (![K: $i, HR: $i] : (system_indi_is_hr_admin(system, HR) => (hr_admin_indi_has_employment(HR, K) => admin_indi_has_employment(admin, K))) <=> ![K: $i, HR: $i] : (admin_indi_has_employment(admin, K) | (~hr_admin_indi_has_employment(HR, K)) | (~system_indi_is_hr_admin(system, HR)))),
% 0.48/0.70 inference(quant_intro,[status(thm)],[281])).
% 0.48/0.70 tff(283,axiom,(![K: $i, HR: $i] : (system_indi_is_hr_admin(system, HR) => (hr_admin_indi_has_employment(HR, K) => admin_indi_has_employment(admin, K)))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax21')).
% 0.48/0.70 tff(284,plain,
% 0.48/0.70 (![K: $i, HR: $i] : (admin_indi_has_employment(admin, K) | (~hr_admin_indi_has_employment(HR, K)) | (~system_indi_is_hr_admin(system, HR)))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[283, 282])).
% 0.48/0.70 tff(285,plain,
% 0.48/0.70 (![K: $i, HR: $i] : (admin_indi_has_employment(admin, K) | (~hr_admin_indi_has_employment(HR, K)) | (~system_indi_is_hr_admin(system, HR)))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[284, 280])).
% 0.48/0.70 tff(286,plain,(
% 0.48/0.70 ![K: $i, HR: $i] : (admin_indi_has_employment(admin, K) | (~hr_admin_indi_has_employment(HR, K)) | (~system_indi_is_hr_admin(system, HR)))),
% 0.48/0.70 inference(skolemize,[status(sab)],[285])).
% 0.48/0.70 tff(287,plain,
% 0.48/0.70 (![K: $i, HR: $i] : (admin_indi_has_employment(admin, K) | (~hr_admin_indi_has_employment(HR, K)) | (~system_indi_is_hr_admin(system, HR)))),
% 0.48/0.70 inference(modus_ponens,[status(thm)],[286, 279])).
% 0.48/0.70 tff(288,plain,
% 0.48/0.70 (((~![K: $i, HR: $i] : (admin_indi_has_employment(admin, K) | (~hr_admin_indi_has_employment(HR, K)) | (~system_indi_is_hr_admin(system, HR)))) | (admin_indi_has_employment(admin, alice) | (~hr_admin_indi_has_employment(hr_admin, alice)) | (~system_indi_is_hr_admin(system, hr_admin)))) <=> ((~![K: $i, HR: $i] : (admin_indi_has_employment(admin, K) | (~hr_admin_indi_has_employment(HR, K)) | (~system_indi_is_hr_admin(system, HR)))) | admin_indi_has_employment(admin, alice) | (~hr_admin_indi_has_employment(hr_admin, alice)) | (~system_indi_is_hr_admin(system, hr_admin)))),
% 0.48/0.71 inference(rewrite,[status(thm)],[])).
% 0.48/0.71 tff(289,plain,
% 0.48/0.71 ((~![K: $i, HR: $i] : (admin_indi_has_employment(admin, K) | (~hr_admin_indi_has_employment(HR, K)) | (~system_indi_is_hr_admin(system, HR)))) | (admin_indi_has_employment(admin, alice) | (~hr_admin_indi_has_employment(hr_admin, alice)) | (~system_indi_is_hr_admin(system, hr_admin)))),
% 0.48/0.71 inference(quant_inst,[status(thm)],[])).
% 0.48/0.71 tff(290,plain,
% 0.48/0.71 ((~![K: $i, HR: $i] : (admin_indi_has_employment(admin, K) | (~hr_admin_indi_has_employment(HR, K)) | (~system_indi_is_hr_admin(system, HR)))) | admin_indi_has_employment(admin, alice) | (~hr_admin_indi_has_employment(hr_admin, alice)) | (~system_indi_is_hr_admin(system, hr_admin))),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[289, 288])).
% 0.48/0.71 tff(291,plain,
% 0.48/0.71 (admin_indi_has_employment(admin, alice)),
% 0.48/0.71 inference(unit_resolution,[status(thm)],[290, 287, 277, 274])).
% 0.48/0.71 tff(292,plain,
% 0.48/0.71 (credit_admin_indi_has_credit(credit_admin, alice) <=> credit_admin_indi_has_credit(credit_admin, alice)),
% 0.48/0.71 inference(rewrite,[status(thm)],[])).
% 0.48/0.71 tff(293,axiom,(credit_admin_indi_has_credit(credit_admin, alice)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax73')).
% 0.48/0.71 tff(294,plain,
% 0.48/0.71 (credit_admin_indi_has_credit(credit_admin, alice)),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[293, 292])).
% 0.48/0.71 tff(295,plain,
% 0.48/0.71 (system_indi_is_credit_admin(system, credit_admin) <=> system_indi_is_credit_admin(system, credit_admin)),
% 0.48/0.71 inference(rewrite,[status(thm)],[])).
% 0.48/0.71 tff(296,axiom,(system_indi_is_credit_admin(system, credit_admin)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax67')).
% 0.48/0.71 tff(297,plain,
% 0.48/0.71 (system_indi_is_credit_admin(system, credit_admin)),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[296, 295])).
% 0.48/0.71 tff(298,plain,
% 0.48/0.71 (^[K: $i, CA: $i] : refl((admin_indi_has_credit(admin, K) | (~credit_admin_indi_has_credit(CA, K)) | (~system_indi_is_credit_admin(system, CA))) <=> (admin_indi_has_credit(admin, K) | (~credit_admin_indi_has_credit(CA, K)) | (~system_indi_is_credit_admin(system, CA))))),
% 0.48/0.71 inference(bind,[status(th)],[])).
% 0.48/0.71 tff(299,plain,
% 0.48/0.71 (![K: $i, CA: $i] : (admin_indi_has_credit(admin, K) | (~credit_admin_indi_has_credit(CA, K)) | (~system_indi_is_credit_admin(system, CA))) <=> ![K: $i, CA: $i] : (admin_indi_has_credit(admin, K) | (~credit_admin_indi_has_credit(CA, K)) | (~system_indi_is_credit_admin(system, CA)))),
% 0.48/0.71 inference(quant_intro,[status(thm)],[298])).
% 0.48/0.71 tff(300,plain,
% 0.48/0.71 (![K: $i, CA: $i] : (admin_indi_has_credit(admin, K) | (~credit_admin_indi_has_credit(CA, K)) | (~system_indi_is_credit_admin(system, CA))) <=> ![K: $i, CA: $i] : (admin_indi_has_credit(admin, K) | (~credit_admin_indi_has_credit(CA, K)) | (~system_indi_is_credit_admin(system, CA)))),
% 0.48/0.71 inference(rewrite,[status(thm)],[])).
% 0.48/0.71 tff(301,plain,
% 0.48/0.71 (^[K: $i, CA: $i] : trans(monotonicity(rewrite((credit_admin_indi_has_credit(CA, K) => admin_indi_has_credit(admin, K)) <=> ((~credit_admin_indi_has_credit(CA, K)) | admin_indi_has_credit(admin, K))), ((system_indi_is_credit_admin(system, CA) => (credit_admin_indi_has_credit(CA, K) => admin_indi_has_credit(admin, K))) <=> (system_indi_is_credit_admin(system, CA) => ((~credit_admin_indi_has_credit(CA, K)) | admin_indi_has_credit(admin, K))))), rewrite((system_indi_is_credit_admin(system, CA) => ((~credit_admin_indi_has_credit(CA, K)) | admin_indi_has_credit(admin, K))) <=> (admin_indi_has_credit(admin, K) | (~credit_admin_indi_has_credit(CA, K)) | (~system_indi_is_credit_admin(system, CA)))), ((system_indi_is_credit_admin(system, CA) => (credit_admin_indi_has_credit(CA, K) => admin_indi_has_credit(admin, K))) <=> (admin_indi_has_credit(admin, K) | (~credit_admin_indi_has_credit(CA, K)) | (~system_indi_is_credit_admin(system, CA)))))),
% 0.48/0.71 inference(bind,[status(th)],[])).
% 0.48/0.71 tff(302,plain,
% 0.48/0.71 (![K: $i, CA: $i] : (system_indi_is_credit_admin(system, CA) => (credit_admin_indi_has_credit(CA, K) => admin_indi_has_credit(admin, K))) <=> ![K: $i, CA: $i] : (admin_indi_has_credit(admin, K) | (~credit_admin_indi_has_credit(CA, K)) | (~system_indi_is_credit_admin(system, CA)))),
% 0.48/0.71 inference(quant_intro,[status(thm)],[301])).
% 0.48/0.71 tff(303,axiom,(![K: $i, CA: $i] : (system_indi_is_credit_admin(system, CA) => (credit_admin_indi_has_credit(CA, K) => admin_indi_has_credit(admin, K)))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax18')).
% 0.48/0.71 tff(304,plain,
% 0.48/0.71 (![K: $i, CA: $i] : (admin_indi_has_credit(admin, K) | (~credit_admin_indi_has_credit(CA, K)) | (~system_indi_is_credit_admin(system, CA)))),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[303, 302])).
% 0.48/0.71 tff(305,plain,
% 0.48/0.71 (![K: $i, CA: $i] : (admin_indi_has_credit(admin, K) | (~credit_admin_indi_has_credit(CA, K)) | (~system_indi_is_credit_admin(system, CA)))),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[304, 300])).
% 0.48/0.71 tff(306,plain,(
% 0.48/0.71 ![K: $i, CA: $i] : (admin_indi_has_credit(admin, K) | (~credit_admin_indi_has_credit(CA, K)) | (~system_indi_is_credit_admin(system, CA)))),
% 0.48/0.71 inference(skolemize,[status(sab)],[305])).
% 0.48/0.71 tff(307,plain,
% 0.48/0.71 (![K: $i, CA: $i] : (admin_indi_has_credit(admin, K) | (~credit_admin_indi_has_credit(CA, K)) | (~system_indi_is_credit_admin(system, CA)))),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[306, 299])).
% 0.48/0.71 tff(308,plain,
% 0.48/0.71 (((~![K: $i, CA: $i] : (admin_indi_has_credit(admin, K) | (~credit_admin_indi_has_credit(CA, K)) | (~system_indi_is_credit_admin(system, CA)))) | (admin_indi_has_credit(admin, alice) | (~credit_admin_indi_has_credit(credit_admin, alice)) | (~system_indi_is_credit_admin(system, credit_admin)))) <=> ((~![K: $i, CA: $i] : (admin_indi_has_credit(admin, K) | (~credit_admin_indi_has_credit(CA, K)) | (~system_indi_is_credit_admin(system, CA)))) | admin_indi_has_credit(admin, alice) | (~credit_admin_indi_has_credit(credit_admin, alice)) | (~system_indi_is_credit_admin(system, credit_admin)))),
% 0.48/0.71 inference(rewrite,[status(thm)],[])).
% 0.48/0.71 tff(309,plain,
% 0.48/0.71 ((~![K: $i, CA: $i] : (admin_indi_has_credit(admin, K) | (~credit_admin_indi_has_credit(CA, K)) | (~system_indi_is_credit_admin(system, CA)))) | (admin_indi_has_credit(admin, alice) | (~credit_admin_indi_has_credit(credit_admin, alice)) | (~system_indi_is_credit_admin(system, credit_admin)))),
% 0.48/0.71 inference(quant_inst,[status(thm)],[])).
% 0.48/0.71 tff(310,plain,
% 0.48/0.71 ((~![K: $i, CA: $i] : (admin_indi_has_credit(admin, K) | (~credit_admin_indi_has_credit(CA, K)) | (~system_indi_is_credit_admin(system, CA)))) | admin_indi_has_credit(admin, alice) | (~credit_admin_indi_has_credit(credit_admin, alice)) | (~system_indi_is_credit_admin(system, credit_admin))),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[309, 308])).
% 0.48/0.71 tff(311,plain,
% 0.48/0.71 (admin_indi_has_credit(admin, alice)),
% 0.48/0.71 inference(unit_resolution,[status(thm)],[310, 307, 297, 294])).
% 0.48/0.71 tff(312,plain,
% 0.48/0.71 (polygraph_admin_indi_has_polygraph(polygraph_admin, alice) <=> polygraph_admin_indi_has_polygraph(polygraph_admin, alice)),
% 0.48/0.71 inference(rewrite,[status(thm)],[])).
% 0.48/0.71 tff(313,axiom,(polygraph_admin_indi_has_polygraph(polygraph_admin, alice)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax72')).
% 0.48/0.71 tff(314,plain,
% 0.48/0.71 (polygraph_admin_indi_has_polygraph(polygraph_admin, alice)),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[313, 312])).
% 0.48/0.71 tff(315,plain,
% 0.48/0.71 (system_indi_is_polygraph_admin(system, polygraph_admin) <=> system_indi_is_polygraph_admin(system, polygraph_admin)),
% 0.48/0.71 inference(rewrite,[status(thm)],[])).
% 0.48/0.71 tff(316,axiom,(system_indi_is_polygraph_admin(system, polygraph_admin)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax66')).
% 0.48/0.71 tff(317,plain,
% 0.48/0.71 (system_indi_is_polygraph_admin(system, polygraph_admin)),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[316, 315])).
% 0.48/0.71 tff(318,plain,
% 0.48/0.71 (^[K: $i, PA: $i] : refl((admin_indi_has_polygraph(admin, K) | (~polygraph_admin_indi_has_polygraph(PA, K)) | (~system_indi_is_polygraph_admin(system, PA))) <=> (admin_indi_has_polygraph(admin, K) | (~polygraph_admin_indi_has_polygraph(PA, K)) | (~system_indi_is_polygraph_admin(system, PA))))),
% 0.48/0.71 inference(bind,[status(th)],[])).
% 0.48/0.71 tff(319,plain,
% 0.48/0.71 (![K: $i, PA: $i] : (admin_indi_has_polygraph(admin, K) | (~polygraph_admin_indi_has_polygraph(PA, K)) | (~system_indi_is_polygraph_admin(system, PA))) <=> ![K: $i, PA: $i] : (admin_indi_has_polygraph(admin, K) | (~polygraph_admin_indi_has_polygraph(PA, K)) | (~system_indi_is_polygraph_admin(system, PA)))),
% 0.48/0.71 inference(quant_intro,[status(thm)],[318])).
% 0.48/0.71 tff(320,plain,
% 0.48/0.71 (![K: $i, PA: $i] : (admin_indi_has_polygraph(admin, K) | (~polygraph_admin_indi_has_polygraph(PA, K)) | (~system_indi_is_polygraph_admin(system, PA))) <=> ![K: $i, PA: $i] : (admin_indi_has_polygraph(admin, K) | (~polygraph_admin_indi_has_polygraph(PA, K)) | (~system_indi_is_polygraph_admin(system, PA)))),
% 0.48/0.71 inference(rewrite,[status(thm)],[])).
% 0.48/0.71 tff(321,plain,
% 0.48/0.71 (^[K: $i, PA: $i] : trans(monotonicity(rewrite((polygraph_admin_indi_has_polygraph(PA, K) => admin_indi_has_polygraph(admin, K)) <=> ((~polygraph_admin_indi_has_polygraph(PA, K)) | admin_indi_has_polygraph(admin, K))), ((system_indi_is_polygraph_admin(system, PA) => (polygraph_admin_indi_has_polygraph(PA, K) => admin_indi_has_polygraph(admin, K))) <=> (system_indi_is_polygraph_admin(system, PA) => ((~polygraph_admin_indi_has_polygraph(PA, K)) | admin_indi_has_polygraph(admin, K))))), rewrite((system_indi_is_polygraph_admin(system, PA) => ((~polygraph_admin_indi_has_polygraph(PA, K)) | admin_indi_has_polygraph(admin, K))) <=> (admin_indi_has_polygraph(admin, K) | (~polygraph_admin_indi_has_polygraph(PA, K)) | (~system_indi_is_polygraph_admin(system, PA)))), ((system_indi_is_polygraph_admin(system, PA) => (polygraph_admin_indi_has_polygraph(PA, K) => admin_indi_has_polygraph(admin, K))) <=> (admin_indi_has_polygraph(admin, K) | (~polygraph_admin_indi_has_polygraph(PA, K)) | (~system_indi_is_polygraph_admin(system, PA)))))),
% 0.48/0.71 inference(bind,[status(th)],[])).
% 0.48/0.71 tff(322,plain,
% 0.48/0.71 (![K: $i, PA: $i] : (system_indi_is_polygraph_admin(system, PA) => (polygraph_admin_indi_has_polygraph(PA, K) => admin_indi_has_polygraph(admin, K))) <=> ![K: $i, PA: $i] : (admin_indi_has_polygraph(admin, K) | (~polygraph_admin_indi_has_polygraph(PA, K)) | (~system_indi_is_polygraph_admin(system, PA)))),
% 0.48/0.71 inference(quant_intro,[status(thm)],[321])).
% 0.48/0.71 tff(323,axiom,(![K: $i, PA: $i] : (system_indi_is_polygraph_admin(system, PA) => (polygraph_admin_indi_has_polygraph(PA, K) => admin_indi_has_polygraph(admin, K)))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax17')).
% 0.48/0.71 tff(324,plain,
% 0.48/0.71 (![K: $i, PA: $i] : (admin_indi_has_polygraph(admin, K) | (~polygraph_admin_indi_has_polygraph(PA, K)) | (~system_indi_is_polygraph_admin(system, PA)))),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[323, 322])).
% 0.48/0.71 tff(325,plain,
% 0.48/0.71 (![K: $i, PA: $i] : (admin_indi_has_polygraph(admin, K) | (~polygraph_admin_indi_has_polygraph(PA, K)) | (~system_indi_is_polygraph_admin(system, PA)))),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[324, 320])).
% 0.48/0.71 tff(326,plain,(
% 0.48/0.71 ![K: $i, PA: $i] : (admin_indi_has_polygraph(admin, K) | (~polygraph_admin_indi_has_polygraph(PA, K)) | (~system_indi_is_polygraph_admin(system, PA)))),
% 0.48/0.71 inference(skolemize,[status(sab)],[325])).
% 0.48/0.71 tff(327,plain,
% 0.48/0.71 (![K: $i, PA: $i] : (admin_indi_has_polygraph(admin, K) | (~polygraph_admin_indi_has_polygraph(PA, K)) | (~system_indi_is_polygraph_admin(system, PA)))),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[326, 319])).
% 0.48/0.71 tff(328,plain,
% 0.48/0.71 (((~![K: $i, PA: $i] : (admin_indi_has_polygraph(admin, K) | (~polygraph_admin_indi_has_polygraph(PA, K)) | (~system_indi_is_polygraph_admin(system, PA)))) | (admin_indi_has_polygraph(admin, alice) | (~polygraph_admin_indi_has_polygraph(polygraph_admin, alice)) | (~system_indi_is_polygraph_admin(system, polygraph_admin)))) <=> ((~![K: $i, PA: $i] : (admin_indi_has_polygraph(admin, K) | (~polygraph_admin_indi_has_polygraph(PA, K)) | (~system_indi_is_polygraph_admin(system, PA)))) | admin_indi_has_polygraph(admin, alice) | (~polygraph_admin_indi_has_polygraph(polygraph_admin, alice)) | (~system_indi_is_polygraph_admin(system, polygraph_admin)))),
% 0.48/0.71 inference(rewrite,[status(thm)],[])).
% 0.48/0.71 tff(329,plain,
% 0.48/0.71 ((~![K: $i, PA: $i] : (admin_indi_has_polygraph(admin, K) | (~polygraph_admin_indi_has_polygraph(PA, K)) | (~system_indi_is_polygraph_admin(system, PA)))) | (admin_indi_has_polygraph(admin, alice) | (~polygraph_admin_indi_has_polygraph(polygraph_admin, alice)) | (~system_indi_is_polygraph_admin(system, polygraph_admin)))),
% 0.48/0.71 inference(quant_inst,[status(thm)],[])).
% 0.48/0.71 tff(330,plain,
% 0.48/0.71 ((~![K: $i, PA: $i] : (admin_indi_has_polygraph(admin, K) | (~polygraph_admin_indi_has_polygraph(PA, K)) | (~system_indi_is_polygraph_admin(system, PA)))) | admin_indi_has_polygraph(admin, alice) | (~polygraph_admin_indi_has_polygraph(polygraph_admin, alice)) | (~system_indi_is_polygraph_admin(system, polygraph_admin))),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[329, 328])).
% 0.48/0.71 tff(331,plain,
% 0.48/0.71 (admin_indi_has_polygraph(admin, alice)),
% 0.48/0.71 inference(unit_resolution,[status(thm)],[330, 327, 317, 314])).
% 0.48/0.71 tff(332,plain,
% 0.48/0.71 (level_admin_indi_has_level(level_admin, alice, topsecret) <=> level_admin_indi_has_level(level_admin, alice, topsecret)),
% 0.48/0.71 inference(rewrite,[status(thm)],[])).
% 0.48/0.71 tff(333,axiom,(level_admin_indi_has_level(level_admin, alice, topsecret)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax77')).
% 0.48/0.71 tff(334,plain,
% 0.48/0.71 (level_admin_indi_has_level(level_admin, alice, topsecret)),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[333, 332])).
% 0.48/0.71 tff(335,plain,
% 0.48/0.71 (system_indi_needs_level(system, alice, secret) <=> system_indi_needs_level(system, alice, secret)),
% 0.48/0.71 inference(rewrite,[status(thm)],[])).
% 0.48/0.71 tff(336,axiom,(system_indi_needs_level(system, alice, secret)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax76')).
% 0.48/0.71 tff(337,plain,
% 0.48/0.71 (system_indi_needs_level(system, alice, secret)),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[336, 335])).
% 0.48/0.71 tff(338,plain,
% 0.48/0.71 (system_indi_is_level_admin(system, level_admin) <=> system_indi_is_level_admin(system, level_admin)),
% 0.48/0.71 inference(rewrite,[status(thm)],[])).
% 0.48/0.71 tff(339,axiom,(system_indi_is_level_admin(system, level_admin)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax70')).
% 0.48/0.71 tff(340,plain,
% 0.48/0.71 (system_indi_is_level_admin(system, level_admin)),
% 0.48/0.71 inference(modus_ponens,[status(thm)],[339, 338])).
% 0.48/0.71 tff(341,plain,
% 0.48/0.71 (^[K: $i, L: $i, L1: $i, LA: $i, L11: $i] : refl((admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1))) <=> (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1))))),
% 0.48/0.71 inference(bind,[status(th)],[])).
% 0.48/0.71 tff(342,plain,
% 0.48/0.71 (![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1))) <=> ![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))),
% 0.48/0.71 inference(quant_intro,[status(thm)],[341])).
% 0.48/0.71 tff(343,plain,
% 0.48/0.71 (![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1))) <=> ![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))),
% 0.48/0.71 inference(rewrite,[status(thm)],[])).
% 0.48/0.71 tff(344,plain,
% 0.48/0.71 (^[K: $i, L: $i, L1: $i, LA: $i, L11: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((admin_indi_has_background(admin, K, L) => admin_indi_has_level(admin, K, L)) <=> ((~admin_indi_has_background(admin, K, L)) | admin_indi_has_level(admin, K, L))), ((loca_level_below(admin, L, L11) => (admin_indi_has_background(admin, K, L) => admin_indi_has_level(admin, K, L))) <=> (loca_level_below(admin, L, L11) => ((~admin_indi_has_background(admin, K, L)) | admin_indi_has_level(admin, K, L))))), rewrite((loca_level_below(admin, L, L11) => ((~admin_indi_has_background(admin, K, L)) | admin_indi_has_level(admin, K, L))) <=> (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)))), ((loca_level_below(admin, L, L11) => (admin_indi_has_background(admin, K, L) => admin_indi_has_level(admin, K, L))) <=> (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11))))), ((level_admin_indi_has_level(LA, K, L11) => (loca_level_below(admin, L, L11) => (admin_indi_has_background(admin, K, L) => admin_indi_has_level(admin, K, L)))) <=> (level_admin_indi_has_level(LA, K, L11) => (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)))))), rewrite((level_admin_indi_has_level(LA, K, L11) => (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)))) <=> (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)))), ((level_admin_indi_has_level(LA, K, L11) => (loca_level_below(admin, L, L11) => (admin_indi_has_background(admin, K, L) => admin_indi_has_level(admin, K, L)))) <=> (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11))))), ((system_indi_is_level_admin(system, LA) => (level_admin_indi_has_level(LA, K, L11) => (loca_level_below(admin, L, L11) => (admin_indi_has_background(admin, K, L) => admin_indi_has_level(admin, K, L))))) <=> (system_indi_is_level_admin(system, LA) => (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)))))), rewrite((system_indi_is_level_admin(system, LA) => (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)))) <=> (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)))), ((system_indi_is_level_admin(system, LA) => (level_admin_indi_has_level(LA, K, L11) => (loca_level_below(admin, L, L11) => (admin_indi_has_background(admin, K, L) => admin_indi_has_level(admin, K, L))))) <=> (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA))))), ((loca_level_below(admin, L, L1) => (system_indi_is_level_admin(system, LA) => (level_admin_indi_has_level(LA, K, L11) => (loca_level_below(admin, L, L11) => (admin_indi_has_background(admin, K, L) => admin_indi_has_level(admin, K, L)))))) <=> (loca_level_below(admin, L, L1) => (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)))))), rewrite((loca_level_below(admin, L, L1) => (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)))) <=> (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)))), ((loca_level_below(admin, L, L1) => (system_indi_is_level_admin(system, LA) => (level_admin_indi_has_level(LA, K, L11) => (loca_level_below(admin, L, L11) => (admin_indi_has_background(admin, K, L) => admin_indi_has_level(admin, K, L)))))) <=> (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1))))), ((admin_indi_has_credit(admin, K) => (loca_level_below(admin, L, L1) => (system_indi_is_level_admin(system, LA) => (level_admin_indi_has_level(LA, K, L11) => (loca_level_below(admin, L, L11) => (admin_indi_has_background(admin, K, L) => admin_indi_has_level(admin, K, L))))))) <=> (admin_indi_has_credit(admin, K) => (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)))))), rewrite((admin_indi_has_credit(admin, K) => (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)))) <=> (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)))), ((admin_indi_has_credit(admin, K) => (loca_level_below(admin, L, L1) => (system_indi_is_level_admin(system, LA) => (level_admin_indi_has_level(LA, K, L11) => (loca_level_below(admin, L, L11) => (admin_indi_has_background(admin, K, L) => admin_indi_has_level(admin, K, L))))))) <=> (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K))))), ((admin_indi_has_employment(admin, K) => (admin_indi_has_credit(admin, K) => (loca_level_below(admin, L, L1) => (system_indi_is_level_admin(system, LA) => (level_admin_indi_has_level(LA, K, L11) => (loca_level_below(admin, L, L11) => (admin_indi_has_background(admin, K, L) => admin_indi_has_level(admin, K, L)))))))) <=> (admin_indi_has_employment(admin, K) => (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)))))), rewrite((admin_indi_has_employment(admin, K) => (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)))) <=> (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)))), ((admin_indi_has_employment(admin, K) => (admin_indi_has_credit(admin, K) => (loca_level_below(admin, L, L1) => (system_indi_is_level_admin(system, LA) => (level_admin_indi_has_level(LA, K, L11) => (loca_level_below(admin, L, L11) => (admin_indi_has_background(admin, K, L) => admin_indi_has_level(admin, K, L)))))))) <=> (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K))))), ((admin_indi_has_polygraph(admin, K) => (admin_indi_has_employment(admin, K) => (admin_indi_has_credit(admin, K) => (loca_level_below(admin, L, L1) => (system_indi_is_level_admin(system, LA) => (level_admin_indi_has_level(LA, K, L11) => (loca_level_below(admin, L, L11) => (admin_indi_has_background(admin, K, L) => admin_indi_has_level(admin, K, L))))))))) <=> (admin_indi_has_polygraph(admin, K) => (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)))))), rewrite((admin_indi_has_polygraph(admin, K) => (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)))) <=> (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)))), ((admin_indi_has_polygraph(admin, K) => (admin_indi_has_employment(admin, K) => (admin_indi_has_credit(admin, K) => (loca_level_below(admin, L, L1) => (system_indi_is_level_admin(system, LA) => (level_admin_indi_has_level(LA, K, L11) => (loca_level_below(admin, L, L11) => (admin_indi_has_background(admin, K, L) => admin_indi_has_level(admin, K, L))))))))) <=> (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K))))), ((admin_indi_has_citizenship(admin, K, usa) => (admin_indi_has_polygraph(admin, K) => (admin_indi_has_employment(admin, K) => (admin_indi_has_credit(admin, K) => (loca_level_below(admin, L, L1) => (system_indi_is_level_admin(system, LA) => (level_admin_indi_has_level(LA, K, L11) => (loca_level_below(admin, L, L11) => (admin_indi_has_background(admin, K, L) => admin_indi_has_level(admin, K, L)))))))))) <=> (admin_indi_has_citizenship(admin, K, usa) => (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)))))), rewrite((admin_indi_has_citizenship(admin, K, usa) => (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)))) <=> (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)))), ((admin_indi_has_citizenship(admin, K, usa) => (admin_indi_has_polygraph(admin, K) => (admin_indi_has_employment(admin, K) => (admin_indi_has_credit(admin, K) => (loca_level_below(admin, L, L1) => (system_indi_is_level_admin(system, LA) => (level_admin_indi_has_level(LA, K, L11) => (loca_level_below(admin, L, L11) => (admin_indi_has_background(admin, K, L) => admin_indi_has_level(admin, K, L)))))))))) <=> (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa))))), ((system_indi_needs_level(system, K, L1) => (admin_indi_has_citizenship(admin, K, usa) => (admin_indi_has_polygraph(admin, K) => (admin_indi_has_employment(admin, K) => (admin_indi_has_credit(admin, K) => (loca_level_below(admin, L, L1) => (system_indi_is_level_admin(system, LA) => (level_admin_indi_has_level(LA, K, L11) => (loca_level_below(admin, L, L11) => (admin_indi_has_background(admin, K, L) => admin_indi_has_level(admin, K, L))))))))))) <=> (system_indi_needs_level(system, K, L1) => (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)))))), rewrite((system_indi_needs_level(system, K, L1) => (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)))) <=> (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))), ((system_indi_needs_level(system, K, L1) => (admin_indi_has_citizenship(admin, K, usa) => (admin_indi_has_polygraph(admin, K) => (admin_indi_has_employment(admin, K) => (admin_indi_has_credit(admin, K) => (loca_level_below(admin, L, L1) => (system_indi_is_level_admin(system, LA) => (level_admin_indi_has_level(LA, K, L11) => (loca_level_below(admin, L, L11) => (admin_indi_has_background(admin, K, L) => admin_indi_has_level(admin, K, L))))))))))) <=> (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))))),
% 0.55/0.71 inference(bind,[status(th)],[])).
% 0.55/0.71 tff(345,plain,
% 0.55/0.71 (![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (system_indi_needs_level(system, K, L1) => (admin_indi_has_citizenship(admin, K, usa) => (admin_indi_has_polygraph(admin, K) => (admin_indi_has_employment(admin, K) => (admin_indi_has_credit(admin, K) => (loca_level_below(admin, L, L1) => (system_indi_is_level_admin(system, LA) => (level_admin_indi_has_level(LA, K, L11) => (loca_level_below(admin, L, L11) => (admin_indi_has_background(admin, K, L) => admin_indi_has_level(admin, K, L))))))))))) <=> ![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))),
% 0.55/0.71 inference(quant_intro,[status(thm)],[344])).
% 0.55/0.71 tff(346,axiom,(![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (system_indi_needs_level(system, K, L1) => (admin_indi_has_citizenship(admin, K, usa) => (admin_indi_has_polygraph(admin, K) => (admin_indi_has_employment(admin, K) => (admin_indi_has_credit(admin, K) => (loca_level_below(admin, L, L1) => (system_indi_is_level_admin(system, LA) => (level_admin_indi_has_level(LA, K, L11) => (loca_level_below(admin, L, L11) => (admin_indi_has_background(admin, K, L) => admin_indi_has_level(admin, K, L)))))))))))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax25')).
% 0.55/0.71 tff(347,plain,
% 0.55/0.71 (![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))),
% 0.55/0.71 inference(modus_ponens,[status(thm)],[346, 345])).
% 0.55/0.71 tff(348,plain,
% 0.55/0.71 (![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))),
% 0.55/0.71 inference(modus_ponens,[status(thm)],[347, 343])).
% 0.55/0.71 tff(349,plain,(
% 0.55/0.71 ![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))),
% 0.55/0.72 inference(skolemize,[status(sab)],[348])).
% 0.55/0.72 tff(350,plain,
% 0.55/0.72 (![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))),
% 0.55/0.72 inference(modus_ponens,[status(thm)],[349, 342])).
% 0.55/0.72 tff(351,plain,
% 0.55/0.72 (((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | ((~system_indi_is_level_admin(system, level_admin)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~admin_indi_has_background(admin, alice, secret)) | (~loca_level_below(admin, secret, topsecret)) | admin_indi_has_level(admin, alice, secret) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_needs_level(system, alice, secret)) | (~loca_level_below(admin, secret, secret)))) <=> ((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | (~system_indi_is_level_admin(system, level_admin)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~admin_indi_has_background(admin, alice, secret)) | (~loca_level_below(admin, secret, topsecret)) | admin_indi_has_level(admin, alice, secret) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_needs_level(system, alice, secret)) | (~loca_level_below(admin, secret, secret)))),
% 0.55/0.72 inference(rewrite,[status(thm)],[])).
% 0.55/0.72 tff(352,plain,
% 0.55/0.72 ((admin_indi_has_level(admin, alice, secret) | (~admin_indi_has_background(admin, alice, secret)) | (~loca_level_below(admin, secret, topsecret)) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_is_level_admin(system, level_admin)) | (~loca_level_below(admin, secret, secret)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~system_indi_needs_level(system, alice, secret))) <=> ((~system_indi_is_level_admin(system, level_admin)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~admin_indi_has_background(admin, alice, secret)) | (~loca_level_below(admin, secret, topsecret)) | admin_indi_has_level(admin, alice, secret) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_needs_level(system, alice, secret)) | (~loca_level_below(admin, secret, secret)))),
% 0.55/0.72 inference(rewrite,[status(thm)],[])).
% 0.55/0.72 tff(353,plain,
% 0.55/0.72 (((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | (admin_indi_has_level(admin, alice, secret) | (~admin_indi_has_background(admin, alice, secret)) | (~loca_level_below(admin, secret, topsecret)) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_is_level_admin(system, level_admin)) | (~loca_level_below(admin, secret, secret)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~system_indi_needs_level(system, alice, secret)))) <=> ((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | ((~system_indi_is_level_admin(system, level_admin)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~admin_indi_has_background(admin, alice, secret)) | (~loca_level_below(admin, secret, topsecret)) | admin_indi_has_level(admin, alice, secret) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_needs_level(system, alice, secret)) | (~loca_level_below(admin, secret, secret))))),
% 0.55/0.72 inference(monotonicity,[status(thm)],[352])).
% 0.55/0.72 tff(354,plain,
% 0.55/0.72 (((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | (admin_indi_has_level(admin, alice, secret) | (~admin_indi_has_background(admin, alice, secret)) | (~loca_level_below(admin, secret, topsecret)) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_is_level_admin(system, level_admin)) | (~loca_level_below(admin, secret, secret)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~system_indi_needs_level(system, alice, secret)))) <=> ((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | (~system_indi_is_level_admin(system, level_admin)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~admin_indi_has_background(admin, alice, secret)) | (~loca_level_below(admin, secret, topsecret)) | admin_indi_has_level(admin, alice, secret) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_needs_level(system, alice, secret)) | (~loca_level_below(admin, secret, secret)))),
% 0.55/0.72 inference(transitivity,[status(thm)],[353, 351])).
% 0.55/0.72 tff(355,plain,
% 0.55/0.72 ((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | (admin_indi_has_level(admin, alice, secret) | (~admin_indi_has_background(admin, alice, secret)) | (~loca_level_below(admin, secret, topsecret)) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_is_level_admin(system, level_admin)) | (~loca_level_below(admin, secret, secret)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~system_indi_needs_level(system, alice, secret)))),
% 0.55/0.72 inference(quant_inst,[status(thm)],[])).
% 0.55/0.72 tff(356,plain,
% 0.55/0.72 ((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | (~system_indi_is_level_admin(system, level_admin)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~admin_indi_has_background(admin, alice, secret)) | (~loca_level_below(admin, secret, topsecret)) | admin_indi_has_level(admin, alice, secret) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_needs_level(system, alice, secret)) | (~loca_level_below(admin, secret, secret))),
% 0.55/0.72 inference(modus_ponens,[status(thm)],[355, 354])).
% 0.55/0.72 tff(357,plain,
% 0.55/0.72 (admin_indi_has_level(admin, alice, secret)),
% 0.55/0.72 inference(unit_resolution,[status(thm)],[356, 350, 340, 337, 334, 331, 311, 291, 271, 254, 229, 200])).
% 0.55/0.72 tff(358,assumption,(~loca_level_below(admin, confidential, secret)), introduced(assumption)).
% 0.55/0.72 tff(359,assumption,(~loca_level_below(admin, confidential, confidential)), introduced(assumption)).
% 0.55/0.72 tff(360,plain,
% 0.55/0.72 ((~![K: $i, L: $i] : loca_level_below(K, L, L)) | loca_level_below(admin, confidential, confidential)),
% 0.55/0.72 inference(quant_inst,[status(thm)],[])).
% 0.55/0.72 tff(361,plain,
% 0.55/0.72 ($false),
% 0.55/0.72 inference(unit_resolution,[status(thm)],[360, 197, 359])).
% 0.55/0.72 tff(362,plain,(loca_level_below(admin, confidential, confidential)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.72 tff(363,assumption,(~loca_level_direct_below(admin, confidential, secret)), introduced(assumption)).
% 0.55/0.72 tff(364,plain,
% 0.55/0.72 (^[K: $i] : refl(loca_level_direct_below(K, confidential, secret) <=> loca_level_direct_below(K, confidential, secret))),
% 0.55/0.72 inference(bind,[status(th)],[])).
% 0.55/0.72 tff(365,plain,
% 0.55/0.72 (![K: $i] : loca_level_direct_below(K, confidential, secret) <=> ![K: $i] : loca_level_direct_below(K, confidential, secret)),
% 0.55/0.72 inference(quant_intro,[status(thm)],[364])).
% 0.55/0.72 tff(366,plain,
% 0.55/0.72 (![K: $i] : loca_level_direct_below(K, confidential, secret) <=> ![K: $i] : loca_level_direct_below(K, confidential, secret)),
% 0.55/0.72 inference(rewrite,[status(thm)],[])).
% 0.55/0.72 tff(367,axiom,(![K: $i] : loca_level_direct_below(K, confidential, secret)), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax2')).
% 0.55/0.72 tff(368,plain,
% 0.55/0.72 (![K: $i] : loca_level_direct_below(K, confidential, secret)),
% 0.55/0.72 inference(modus_ponens,[status(thm)],[367, 366])).
% 0.55/0.72 tff(369,plain,(
% 0.55/0.72 ![K: $i] : loca_level_direct_below(K, confidential, secret)),
% 0.55/0.72 inference(skolemize,[status(sab)],[368])).
% 0.55/0.72 tff(370,plain,
% 0.55/0.72 (![K: $i] : loca_level_direct_below(K, confidential, secret)),
% 0.55/0.72 inference(modus_ponens,[status(thm)],[369, 365])).
% 0.55/0.72 tff(371,plain,
% 0.55/0.72 ((~![K: $i] : loca_level_direct_below(K, confidential, secret)) | loca_level_direct_below(admin, confidential, secret)),
% 0.55/0.72 inference(quant_inst,[status(thm)],[])).
% 0.55/0.72 tff(372,plain,
% 0.55/0.72 ($false),
% 0.55/0.72 inference(unit_resolution,[status(thm)],[371, 370, 363])).
% 0.55/0.72 tff(373,plain,(loca_level_direct_below(admin, confidential, secret)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.72 tff(374,plain,
% 0.55/0.72 (((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | ((~loca_level_direct_below(admin, confidential, secret)) | loca_level_below(admin, confidential, secret) | (~loca_level_below(admin, confidential, confidential)))) <=> ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (~loca_level_direct_below(admin, confidential, secret)) | loca_level_below(admin, confidential, secret) | (~loca_level_below(admin, confidential, confidential)))),
% 0.55/0.72 inference(rewrite,[status(thm)],[])).
% 0.55/0.72 tff(375,plain,
% 0.55/0.72 ((loca_level_below(admin, confidential, secret) | (~loca_level_below(admin, confidential, confidential)) | (~loca_level_direct_below(admin, confidential, secret))) <=> ((~loca_level_direct_below(admin, confidential, secret)) | loca_level_below(admin, confidential, secret) | (~loca_level_below(admin, confidential, confidential)))),
% 0.55/0.72 inference(rewrite,[status(thm)],[])).
% 0.55/0.72 tff(376,plain,
% 0.55/0.72 (((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (loca_level_below(admin, confidential, secret) | (~loca_level_below(admin, confidential, confidential)) | (~loca_level_direct_below(admin, confidential, secret)))) <=> ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | ((~loca_level_direct_below(admin, confidential, secret)) | loca_level_below(admin, confidential, secret) | (~loca_level_below(admin, confidential, confidential))))),
% 0.55/0.72 inference(monotonicity,[status(thm)],[375])).
% 0.55/0.72 tff(377,plain,
% 0.55/0.72 (((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (loca_level_below(admin, confidential, secret) | (~loca_level_below(admin, confidential, confidential)) | (~loca_level_direct_below(admin, confidential, secret)))) <=> ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (~loca_level_direct_below(admin, confidential, secret)) | loca_level_below(admin, confidential, secret) | (~loca_level_below(admin, confidential, confidential)))),
% 0.55/0.72 inference(transitivity,[status(thm)],[376, 374])).
% 0.55/0.72 tff(378,plain,
% 0.55/0.72 ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (loca_level_below(admin, confidential, secret) | (~loca_level_below(admin, confidential, confidential)) | (~loca_level_direct_below(admin, confidential, secret)))),
% 0.55/0.72 inference(quant_inst,[status(thm)],[])).
% 0.55/0.72 tff(379,plain,
% 0.55/0.72 ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (~loca_level_direct_below(admin, confidential, secret)) | loca_level_below(admin, confidential, secret) | (~loca_level_below(admin, confidential, confidential))),
% 0.55/0.72 inference(modus_ponens,[status(thm)],[378, 377])).
% 0.55/0.72 tff(380,plain,
% 0.55/0.72 ($false),
% 0.55/0.72 inference(unit_resolution,[status(thm)],[379, 221, 373, 362, 358])).
% 0.55/0.72 tff(381,plain,(loca_level_below(admin, confidential, secret)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.72 tff(382,assumption,(~loca_level_below(admin, confidential, topsecret)), introduced(assumption)).
% 0.55/0.72 tff(383,plain,
% 0.55/0.72 (((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | ((~loca_level_direct_below(admin, secret, topsecret)) | (~loca_level_below(admin, confidential, secret)) | loca_level_below(admin, confidential, topsecret))) <=> ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (~loca_level_direct_below(admin, secret, topsecret)) | (~loca_level_below(admin, confidential, secret)) | loca_level_below(admin, confidential, topsecret))),
% 0.55/0.72 inference(rewrite,[status(thm)],[])).
% 0.55/0.72 tff(384,plain,
% 0.55/0.72 ((loca_level_below(admin, confidential, topsecret) | (~loca_level_below(admin, confidential, secret)) | (~loca_level_direct_below(admin, secret, topsecret))) <=> ((~loca_level_direct_below(admin, secret, topsecret)) | (~loca_level_below(admin, confidential, secret)) | loca_level_below(admin, confidential, topsecret))),
% 0.55/0.72 inference(rewrite,[status(thm)],[])).
% 0.55/0.72 tff(385,plain,
% 0.55/0.72 (((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (loca_level_below(admin, confidential, topsecret) | (~loca_level_below(admin, confidential, secret)) | (~loca_level_direct_below(admin, secret, topsecret)))) <=> ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | ((~loca_level_direct_below(admin, secret, topsecret)) | (~loca_level_below(admin, confidential, secret)) | loca_level_below(admin, confidential, topsecret)))),
% 0.55/0.72 inference(monotonicity,[status(thm)],[384])).
% 0.55/0.72 tff(386,plain,
% 0.55/0.72 (((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (loca_level_below(admin, confidential, topsecret) | (~loca_level_below(admin, confidential, secret)) | (~loca_level_direct_below(admin, secret, topsecret)))) <=> ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (~loca_level_direct_below(admin, secret, topsecret)) | (~loca_level_below(admin, confidential, secret)) | loca_level_below(admin, confidential, topsecret))),
% 0.55/0.72 inference(transitivity,[status(thm)],[385, 383])).
% 0.55/0.72 tff(387,plain,
% 0.55/0.72 ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (loca_level_below(admin, confidential, topsecret) | (~loca_level_below(admin, confidential, secret)) | (~loca_level_direct_below(admin, secret, topsecret)))),
% 0.55/0.72 inference(quant_inst,[status(thm)],[])).
% 0.55/0.72 tff(388,plain,
% 0.55/0.72 ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (~loca_level_direct_below(admin, secret, topsecret)) | (~loca_level_below(admin, confidential, secret)) | loca_level_below(admin, confidential, topsecret)),
% 0.55/0.72 inference(modus_ponens,[status(thm)],[387, 386])).
% 0.55/0.72 tff(389,plain,
% 0.55/0.72 ($false),
% 0.55/0.72 inference(unit_resolution,[status(thm)],[388, 221, 211, 382, 381])).
% 0.55/0.72 tff(390,plain,(loca_level_below(admin, confidential, topsecret)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.72 tff(391,assumption,(~admin_indi_has_background(admin, alice, confidential)), introduced(assumption)).
% 0.55/0.72 tff(392,plain,
% 0.55/0.72 (((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | ((~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | admin_indi_has_background(admin, alice, confidential) | (~loca_level_below(admin, confidential, topsecret)))) <=> ((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | admin_indi_has_background(admin, alice, confidential) | (~loca_level_below(admin, confidential, topsecret)))),
% 0.55/0.72 inference(rewrite,[status(thm)],[])).
% 0.55/0.72 tff(393,plain,
% 0.55/0.72 ((admin_indi_has_background(admin, alice, confidential) | (~loca_level_below(admin, confidential, topsecret)) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin))) <=> ((~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | admin_indi_has_background(admin, alice, confidential) | (~loca_level_below(admin, confidential, topsecret)))),
% 0.55/0.72 inference(rewrite,[status(thm)],[])).
% 0.55/0.72 tff(394,plain,
% 0.55/0.72 (((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (admin_indi_has_background(admin, alice, confidential) | (~loca_level_below(admin, confidential, topsecret)) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)))) <=> ((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | ((~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | admin_indi_has_background(admin, alice, confidential) | (~loca_level_below(admin, confidential, topsecret))))),
% 0.55/0.72 inference(monotonicity,[status(thm)],[393])).
% 0.55/0.72 tff(395,plain,
% 0.55/0.72 (((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (admin_indi_has_background(admin, alice, confidential) | (~loca_level_below(admin, confidential, topsecret)) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)))) <=> ((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | admin_indi_has_background(admin, alice, confidential) | (~loca_level_below(admin, confidential, topsecret)))),
% 0.55/0.72 inference(transitivity,[status(thm)],[394, 392])).
% 0.55/0.72 tff(396,plain,
% 0.55/0.72 ((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (admin_indi_has_background(admin, alice, confidential) | (~loca_level_below(admin, confidential, topsecret)) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)))),
% 0.55/0.72 inference(quant_inst,[status(thm)],[])).
% 0.55/0.72 tff(397,plain,
% 0.55/0.72 ((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | admin_indi_has_background(admin, alice, confidential) | (~loca_level_below(admin, confidential, topsecret))),
% 0.55/0.72 inference(modus_ponens,[status(thm)],[396, 395])).
% 0.55/0.73 tff(398,plain,
% 0.55/0.73 ($false),
% 0.55/0.73 inference(unit_resolution,[status(thm)],[397, 246, 236, 233, 391, 390])).
% 0.55/0.73 tff(399,plain,(admin_indi_has_background(admin, alice, confidential)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.73 tff(400,plain,
% 0.55/0.73 (((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | ((~admin_indi_has_background(admin, alice, confidential)) | (~system_indi_is_level_admin(system, level_admin)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | admin_indi_has_level(admin, alice, confidential) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_needs_level(system, alice, secret)) | (~loca_level_below(admin, confidential, secret)) | (~loca_level_below(admin, confidential, topsecret)))) <=> ((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | (~admin_indi_has_background(admin, alice, confidential)) | (~system_indi_is_level_admin(system, level_admin)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | admin_indi_has_level(admin, alice, confidential) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_needs_level(system, alice, secret)) | (~loca_level_below(admin, confidential, secret)) | (~loca_level_below(admin, confidential, topsecret)))),
% 0.55/0.73 inference(rewrite,[status(thm)],[])).
% 0.55/0.73 tff(401,plain,
% 0.55/0.73 ((admin_indi_has_level(admin, alice, confidential) | (~admin_indi_has_background(admin, alice, confidential)) | (~loca_level_below(admin, confidential, topsecret)) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_is_level_admin(system, level_admin)) | (~loca_level_below(admin, confidential, secret)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~system_indi_needs_level(system, alice, secret))) <=> ((~admin_indi_has_background(admin, alice, confidential)) | (~system_indi_is_level_admin(system, level_admin)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | admin_indi_has_level(admin, alice, confidential) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_needs_level(system, alice, secret)) | (~loca_level_below(admin, confidential, secret)) | (~loca_level_below(admin, confidential, topsecret)))),
% 0.55/0.73 inference(rewrite,[status(thm)],[])).
% 0.55/0.73 tff(402,plain,
% 0.55/0.73 (((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | (admin_indi_has_level(admin, alice, confidential) | (~admin_indi_has_background(admin, alice, confidential)) | (~loca_level_below(admin, confidential, topsecret)) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_is_level_admin(system, level_admin)) | (~loca_level_below(admin, confidential, secret)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~system_indi_needs_level(system, alice, secret)))) <=> ((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | ((~admin_indi_has_background(admin, alice, confidential)) | (~system_indi_is_level_admin(system, level_admin)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | admin_indi_has_level(admin, alice, confidential) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_needs_level(system, alice, secret)) | (~loca_level_below(admin, confidential, secret)) | (~loca_level_below(admin, confidential, topsecret))))),
% 0.55/0.73 inference(monotonicity,[status(thm)],[401])).
% 0.55/0.73 tff(403,plain,
% 0.55/0.73 (((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | (admin_indi_has_level(admin, alice, confidential) | (~admin_indi_has_background(admin, alice, confidential)) | (~loca_level_below(admin, confidential, topsecret)) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_is_level_admin(system, level_admin)) | (~loca_level_below(admin, confidential, secret)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~system_indi_needs_level(system, alice, secret)))) <=> ((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | (~admin_indi_has_background(admin, alice, confidential)) | (~system_indi_is_level_admin(system, level_admin)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | admin_indi_has_level(admin, alice, confidential) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_needs_level(system, alice, secret)) | (~loca_level_below(admin, confidential, secret)) | (~loca_level_below(admin, confidential, topsecret)))),
% 0.55/0.73 inference(transitivity,[status(thm)],[402, 400])).
% 0.55/0.73 tff(404,plain,
% 0.55/0.73 ((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | (admin_indi_has_level(admin, alice, confidential) | (~admin_indi_has_background(admin, alice, confidential)) | (~loca_level_below(admin, confidential, topsecret)) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_is_level_admin(system, level_admin)) | (~loca_level_below(admin, confidential, secret)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~system_indi_needs_level(system, alice, secret)))),
% 0.55/0.73 inference(quant_inst,[status(thm)],[])).
% 0.55/0.73 tff(405,plain,
% 0.55/0.73 ((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | (~admin_indi_has_background(admin, alice, confidential)) | (~system_indi_is_level_admin(system, level_admin)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | admin_indi_has_level(admin, alice, confidential) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_needs_level(system, alice, secret)) | (~loca_level_below(admin, confidential, secret)) | (~loca_level_below(admin, confidential, topsecret))),
% 0.55/0.73 inference(modus_ponens,[status(thm)],[404, 403])).
% 0.55/0.73 tff(406,plain,
% 0.55/0.73 ((~admin_indi_has_background(admin, alice, confidential)) | admin_indi_has_level(admin, alice, confidential) | (~loca_level_below(admin, confidential, secret)) | (~loca_level_below(admin, confidential, topsecret))),
% 0.55/0.73 inference(unit_resolution,[status(thm)],[405, 350, 340, 337, 334, 331, 311, 291, 271])).
% 0.55/0.73 tff(407,plain,
% 0.55/0.73 (admin_indi_has_level(admin, alice, confidential)),
% 0.55/0.73 inference(unit_resolution,[status(thm)],[406, 399, 390, 381])).
% 0.55/0.73 tff(408,plain,
% 0.55/0.73 (oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes) <=> oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)),
% 0.55/0.73 inference(rewrite,[status(thm)],[])).
% 0.55/0.73 tff(409,axiom,(oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax42')).
% 0.55/0.73 tff(410,plain,
% 0.55/0.73 (oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)),
% 0.55/0.73 inference(modus_ponens,[status(thm)],[409, 408])).
% 0.55/0.73 tff(411,plain,
% 0.55/0.73 (^[K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : refl((admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1))) <=> (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1))))),
% 0.55/0.73 inference(bind,[status(th)],[])).
% 0.55/0.73 tff(412,plain,
% 0.55/0.73 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1))) <=> ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))),
% 0.55/0.73 inference(quant_intro,[status(thm)],[411])).
% 0.55/0.73 tff(413,plain,
% 0.55/0.73 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1))) <=> ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))),
% 0.55/0.73 inference(rewrite,[status(thm)],[])).
% 0.55/0.73 tff(414,plain,
% 0.55/0.73 (^[K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : trans(monotonicity(trans(monotonicity(rewrite((admin_indi_has_level(admin, K, L1) => admin_indi_has_level_for_compartment(admin, K, C)) <=> ((~admin_indi_has_level(admin, K, L1)) | admin_indi_has_level_for_compartment(admin, K, C))), ((oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2) => (admin_indi_has_level(admin, K, L1) => admin_indi_has_level_for_compartment(admin, K, C))) <=> (oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2) => ((~admin_indi_has_level(admin, K, L1)) | admin_indi_has_level_for_compartment(admin, K, C))))), rewrite((oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2) => ((~admin_indi_has_level(admin, K, L1)) | admin_indi_has_level_for_compartment(admin, K, C))) <=> (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~admin_indi_has_level(admin, K, L1)))), ((oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2) => (admin_indi_has_level(admin, K, L1) => admin_indi_has_level_for_compartment(admin, K, C))) <=> (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~admin_indi_has_level(admin, K, L1))))), ((system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2) => (admin_indi_has_level(admin, K, L1) => admin_indi_has_level_for_compartment(admin, K, C)))) <=> (system_indi_is_oca(system, OCA) => (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~admin_indi_has_level(admin, K, L1)))))), rewrite((system_indi_is_oca(system, OCA) => (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~admin_indi_has_level(admin, K, L1)))) <=> (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))), ((system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2) => (admin_indi_has_level(admin, K, L1) => admin_indi_has_level_for_compartment(admin, K, C)))) <=> (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))))),
% 0.55/0.73 inference(bind,[status(th)],[])).
% 0.55/0.73 tff(415,plain,
% 0.55/0.73 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2) => (admin_indi_has_level(admin, K, L1) => admin_indi_has_level_for_compartment(admin, K, C)))) <=> ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))),
% 0.55/0.73 inference(quant_intro,[status(thm)],[414])).
% 0.55/0.73 tff(416,axiom,(![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2) => (admin_indi_has_level(admin, K, L1) => admin_indi_has_level_for_compartment(admin, K, C))))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax29')).
% 0.55/0.73 tff(417,plain,
% 0.55/0.73 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))),
% 0.55/0.73 inference(modus_ponens,[status(thm)],[416, 415])).
% 0.55/0.73 tff(418,plain,
% 0.55/0.73 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))),
% 0.55/0.73 inference(modus_ponens,[status(thm)],[417, 413])).
% 0.55/0.73 tff(419,plain,(
% 0.55/0.73 ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))),
% 0.55/0.73 inference(skolemize,[status(sab)],[418])).
% 0.55/0.73 tff(420,plain,
% 0.55/0.73 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))),
% 0.55/0.73 inference(modus_ponens,[status(thm)],[419, 412])).
% 0.55/0.73 tff(421,plain,
% 0.55/0.73 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))) | ((~system_indi_is_oca(system, oca)) | (~admin_indi_has_level(admin, alice, confidential)) | admin_indi_has_level_for_compartment(admin, alice, compartmentb) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_level(admin, alice, confidential)) | admin_indi_has_level_for_compartment(admin, alice, compartmentb) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)))),
% 0.55/0.73 inference(rewrite,[status(thm)],[])).
% 0.55/0.73 tff(422,plain,
% 0.55/0.73 ((admin_indi_has_level_for_compartment(admin, alice, compartmentb) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_level(admin, alice, confidential))) <=> ((~system_indi_is_oca(system, oca)) | (~admin_indi_has_level(admin, alice, confidential)) | admin_indi_has_level_for_compartment(admin, alice, compartmentb) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)))),
% 0.55/0.73 inference(rewrite,[status(thm)],[])).
% 0.55/0.73 tff(423,plain,
% 0.55/0.73 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))) | (admin_indi_has_level_for_compartment(admin, alice, compartmentb) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_level(admin, alice, confidential)))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))) | ((~system_indi_is_oca(system, oca)) | (~admin_indi_has_level(admin, alice, confidential)) | admin_indi_has_level_for_compartment(admin, alice, compartmentb) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes))))),
% 0.55/0.73 inference(monotonicity,[status(thm)],[422])).
% 0.55/0.73 tff(424,plain,
% 0.55/0.73 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))) | (admin_indi_has_level_for_compartment(admin, alice, compartmentb) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_level(admin, alice, confidential)))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_level(admin, alice, confidential)) | admin_indi_has_level_for_compartment(admin, alice, compartmentb) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)))),
% 0.55/0.73 inference(transitivity,[status(thm)],[423, 421])).
% 0.55/0.73 tff(425,plain,
% 0.55/0.73 ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))) | (admin_indi_has_level_for_compartment(admin, alice, compartmentb) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_level(admin, alice, confidential)))),
% 0.55/0.73 inference(quant_inst,[status(thm)],[])).
% 0.55/0.73 tff(426,plain,
% 0.55/0.73 ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_level(admin, alice, confidential)) | admin_indi_has_level_for_compartment(admin, alice, compartmentb) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes))),
% 0.55/0.73 inference(modus_ponens,[status(thm)],[425, 424])).
% 0.55/0.73 tff(427,plain,
% 0.55/0.73 ((~admin_indi_has_level(admin, alice, confidential)) | admin_indi_has_level_for_compartment(admin, alice, compartmentb)),
% 0.55/0.73 inference(unit_resolution,[status(thm)],[426, 420, 38, 410])).
% 0.55/0.73 tff(428,plain,
% 0.55/0.73 (admin_indi_has_level_for_compartment(admin, alice, compartmentb)),
% 0.55/0.73 inference(unit_resolution,[status(thm)],[427, 407])).
% 0.55/0.73 tff(429,assumption,(~admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil)))), introduced(assumption)).
% 0.55/0.73 tff(430,plain,
% 0.55/0.73 (^[K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : refl((admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes))) <=> (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes))))),
% 0.55/0.73 inference(bind,[status(th)],[])).
% 0.55/0.73 tff(431,plain,
% 0.55/0.73 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes))) <=> ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes)))),
% 0.55/0.73 inference(quant_intro,[status(thm)],[430])).
% 0.55/0.73 tff(432,plain,
% 0.55/0.73 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes))) <=> ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes)))),
% 0.55/0.74 inference(rewrite,[status(thm)],[])).
% 0.55/0.74 tff(433,plain,
% 0.55/0.74 (^[K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : trans(monotonicity(trans(monotonicity(rewrite((admin_indi_has_polygraph(admin, K) => admin_indi_has_polygraph_for_compartment(admin, K, C)) <=> ((~admin_indi_has_polygraph(admin, K)) | admin_indi_has_polygraph_for_compartment(admin, K, C))), ((oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes) => (admin_indi_has_polygraph(admin, K) => admin_indi_has_polygraph_for_compartment(admin, K, C))) <=> (oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes) => ((~admin_indi_has_polygraph(admin, K)) | admin_indi_has_polygraph_for_compartment(admin, K, C))))), rewrite((oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes) => ((~admin_indi_has_polygraph(admin, K)) | admin_indi_has_polygraph_for_compartment(admin, K, C))) <=> (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes)))), ((oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes) => (admin_indi_has_polygraph(admin, K) => admin_indi_has_polygraph_for_compartment(admin, K, C))) <=> (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes))))), ((system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes) => (admin_indi_has_polygraph(admin, K) => admin_indi_has_polygraph_for_compartment(admin, K, C)))) <=> (system_indi_is_oca(system, OCA) => (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes)))))), rewrite((system_indi_is_oca(system, OCA) => (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes)))) <=> (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes)))), ((system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes) => (admin_indi_has_polygraph(admin, K) => admin_indi_has_polygraph_for_compartment(admin, K, C)))) <=> (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes)))))),
% 0.55/0.74 inference(bind,[status(th)],[])).
% 0.55/0.74 tff(434,plain,
% 0.55/0.74 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes) => (admin_indi_has_polygraph(admin, K) => admin_indi_has_polygraph_for_compartment(admin, K, C)))) <=> ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes)))),
% 0.55/0.74 inference(quant_intro,[status(thm)],[433])).
% 0.55/0.74 tff(435,axiom,(![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes) => (admin_indi_has_polygraph(admin, K) => admin_indi_has_polygraph_for_compartment(admin, K, C))))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax30')).
% 0.55/0.74 tff(436,plain,
% 0.55/0.74 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes)))),
% 0.55/0.74 inference(modus_ponens,[status(thm)],[435, 434])).
% 0.55/0.74 tff(437,plain,
% 0.55/0.74 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes)))),
% 0.55/0.74 inference(modus_ponens,[status(thm)],[436, 432])).
% 0.55/0.74 tff(438,plain,(
% 0.55/0.74 ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes)))),
% 0.55/0.74 inference(skolemize,[status(sab)],[437])).
% 0.55/0.74 tff(439,plain,
% 0.55/0.74 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes)))),
% 0.55/0.74 inference(modus_ponens,[status(thm)],[438, 431])).
% 0.55/0.74 tff(440,plain,
% 0.55/0.74 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes)))) | ((~system_indi_is_oca(system, oca)) | (~admin_indi_has_polygraph(admin, alice)) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)) | admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes)))) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_polygraph(admin, alice)) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)) | admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb))),
% 0.55/0.74 inference(rewrite,[status(thm)],[])).
% 0.55/0.74 tff(441,plain,
% 0.55/0.74 ((admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_polygraph(admin, alice)) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes))) <=> ((~system_indi_is_oca(system, oca)) | (~admin_indi_has_polygraph(admin, alice)) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)) | admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb))),
% 0.55/0.74 inference(rewrite,[status(thm)],[])).
% 0.55/0.74 tff(442,plain,
% 0.55/0.74 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes)))) | (admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_polygraph(admin, alice)) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes)))) | ((~system_indi_is_oca(system, oca)) | (~admin_indi_has_polygraph(admin, alice)) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)) | admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb)))),
% 0.55/0.74 inference(monotonicity,[status(thm)],[441])).
% 0.55/0.74 tff(443,plain,
% 0.55/0.74 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes)))) | (admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_polygraph(admin, alice)) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes)))) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_polygraph(admin, alice)) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)) | admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb))),
% 0.55/0.74 inference(transitivity,[status(thm)],[442, 440])).
% 0.55/0.74 tff(444,plain,
% 0.55/0.74 ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes)))) | (admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_polygraph(admin, alice)) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)))),
% 0.55/0.74 inference(quant_inst,[status(thm)],[])).
% 0.55/0.74 tff(445,plain,
% 0.55/0.74 ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_polygraph(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, yes)))) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_polygraph(admin, alice)) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)) | admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb)),
% 0.55/0.74 inference(modus_ponens,[status(thm)],[444, 443])).
% 0.55/0.74 tff(446,plain,
% 0.55/0.74 (admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb)),
% 0.55/0.74 inference(unit_resolution,[status(thm)],[445, 439, 38, 410, 331])).
% 0.55/0.74 tff(447,assumption,(~admin_indi_has_credit_for_compartment(admin, alice, compartmentb)), introduced(assumption)).
% 0.55/0.74 tff(448,plain,
% 0.55/0.74 (^[K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : refl((admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2))) <=> (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2))))),
% 0.55/0.74 inference(bind,[status(th)],[])).
% 0.55/0.74 tff(449,plain,
% 0.55/0.74 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2))) <=> ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2)))),
% 0.55/0.74 inference(quant_intro,[status(thm)],[448])).
% 0.55/0.74 tff(450,plain,
% 0.55/0.74 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2))) <=> ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2)))),
% 0.55/0.74 inference(rewrite,[status(thm)],[])).
% 0.55/0.74 tff(451,plain,
% 0.55/0.74 (^[K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : trans(monotonicity(trans(monotonicity(rewrite((admin_indi_has_credit(admin, K) => admin_indi_has_credit_for_compartment(admin, K, C)) <=> ((~admin_indi_has_credit(admin, K)) | admin_indi_has_credit_for_compartment(admin, K, C))), ((oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2) => (admin_indi_has_credit(admin, K) => admin_indi_has_credit_for_compartment(admin, K, C))) <=> (oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2) => ((~admin_indi_has_credit(admin, K)) | admin_indi_has_credit_for_compartment(admin, K, C))))), rewrite((oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2) => ((~admin_indi_has_credit(admin, K)) | admin_indi_has_credit_for_compartment(admin, K, C))) <=> (admin_indi_has_credit_for_compartment(admin, K, C) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2)))), ((oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2) => (admin_indi_has_credit(admin, K) => admin_indi_has_credit_for_compartment(admin, K, C))) <=> (admin_indi_has_credit_for_compartment(admin, K, C) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2))))), ((system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2) => (admin_indi_has_credit(admin, K) => admin_indi_has_credit_for_compartment(admin, K, C)))) <=> (system_indi_is_oca(system, OCA) => (admin_indi_has_credit_for_compartment(admin, K, C) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2)))))), rewrite((system_indi_is_oca(system, OCA) => (admin_indi_has_credit_for_compartment(admin, K, C) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2)))) <=> (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2)))), ((system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2) => (admin_indi_has_credit(admin, K) => admin_indi_has_credit_for_compartment(admin, K, C)))) <=> (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2)))))),
% 0.55/0.74 inference(bind,[status(th)],[])).
% 0.55/0.74 tff(452,plain,
% 0.55/0.74 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2) => (admin_indi_has_credit(admin, K) => admin_indi_has_credit_for_compartment(admin, K, C)))) <=> ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2)))),
% 0.55/0.74 inference(quant_intro,[status(thm)],[451])).
% 0.55/0.74 tff(453,axiom,(![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2) => (admin_indi_has_credit(admin, K) => admin_indi_has_credit_for_compartment(admin, K, C))))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax32')).
% 0.55/0.74 tff(454,plain,
% 0.55/0.74 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2)))),
% 0.55/0.74 inference(modus_ponens,[status(thm)],[453, 452])).
% 0.55/0.74 tff(455,plain,
% 0.55/0.74 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2)))),
% 0.55/0.74 inference(modus_ponens,[status(thm)],[454, 450])).
% 0.55/0.74 tff(456,plain,(
% 0.55/0.74 ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2)))),
% 0.55/0.74 inference(skolemize,[status(sab)],[455])).
% 0.55/0.74 tff(457,plain,
% 0.55/0.74 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2)))),
% 0.55/0.74 inference(modus_ponens,[status(thm)],[456, 449])).
% 0.55/0.74 tff(458,plain,
% 0.55/0.74 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2)))) | ((~system_indi_is_oca(system, oca)) | (~admin_indi_has_credit(admin, alice)) | admin_indi_has_credit_for_compartment(admin, alice, compartmentb) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2)))) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_credit(admin, alice)) | admin_indi_has_credit_for_compartment(admin, alice, compartmentb) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)))),
% 0.55/0.74 inference(rewrite,[status(thm)],[])).
% 0.55/0.74 tff(459,plain,
% 0.55/0.74 ((admin_indi_has_credit_for_compartment(admin, alice, compartmentb) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_credit(admin, alice)) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes))) <=> ((~system_indi_is_oca(system, oca)) | (~admin_indi_has_credit(admin, alice)) | admin_indi_has_credit_for_compartment(admin, alice, compartmentb) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)))),
% 0.55/0.74 inference(rewrite,[status(thm)],[])).
% 0.55/0.74 tff(460,plain,
% 0.55/0.74 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2)))) | (admin_indi_has_credit_for_compartment(admin, alice, compartmentb) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_credit(admin, alice)) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2)))) | ((~system_indi_is_oca(system, oca)) | (~admin_indi_has_credit(admin, alice)) | admin_indi_has_credit_for_compartment(admin, alice, compartmentb) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes))))),
% 0.55/0.74 inference(monotonicity,[status(thm)],[459])).
% 0.55/0.74 tff(461,plain,
% 0.55/0.74 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2)))) | (admin_indi_has_credit_for_compartment(admin, alice, compartmentb) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_credit(admin, alice)) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2)))) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_credit(admin, alice)) | admin_indi_has_credit_for_compartment(admin, alice, compartmentb) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)))),
% 0.55/0.74 inference(transitivity,[status(thm)],[460, 458])).
% 0.55/0.74 tff(462,plain,
% 0.55/0.74 ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2)))) | (admin_indi_has_credit_for_compartment(admin, alice, compartmentb) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_credit(admin, alice)) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)))),
% 0.55/0.74 inference(quant_inst,[status(thm)],[])).
% 0.55/0.74 tff(463,plain,
% 0.55/0.74 ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_credit(admin, K)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, yes, B2)))) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_credit(admin, alice)) | admin_indi_has_credit_for_compartment(admin, alice, compartmentb) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes))),
% 0.55/0.74 inference(modus_ponens,[status(thm)],[462, 461])).
% 0.55/0.74 tff(464,plain,
% 0.55/0.74 ($false),
% 0.55/0.74 inference(unit_resolution,[status(thm)],[463, 457, 38, 410, 311, 447])).
% 0.55/0.74 tff(465,plain,(admin_indi_has_credit_for_compartment(admin, alice, compartmentb)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.74 tff(466,assumption,(~admin_indi_has_level_for_compartment(admin, alice, compartmenta)), introduced(assumption)).
% 0.55/0.74 tff(467,assumption,(~admin_indi_has_level(admin, alice, sbu)), introduced(assumption)).
% 0.55/0.74 tff(468,assumption,(~loca_level_below(admin, sbu, secret)), introduced(assumption)).
% 0.55/0.74 tff(469,assumption,(~loca_level_direct_below(admin, sbu, confidential)), introduced(assumption)).
% 0.55/0.74 tff(470,plain,
% 0.55/0.74 (^[K: $i] : refl(loca_level_direct_below(K, sbu, confidential) <=> loca_level_direct_below(K, sbu, confidential))),
% 0.55/0.74 inference(bind,[status(th)],[])).
% 0.55/0.74 tff(471,plain,
% 0.55/0.74 (![K: $i] : loca_level_direct_below(K, sbu, confidential) <=> ![K: $i] : loca_level_direct_below(K, sbu, confidential)),
% 0.55/0.74 inference(quant_intro,[status(thm)],[470])).
% 0.55/0.74 tff(472,plain,
% 0.55/0.74 (![K: $i] : loca_level_direct_below(K, sbu, confidential) <=> ![K: $i] : loca_level_direct_below(K, sbu, confidential)),
% 0.55/0.74 inference(rewrite,[status(thm)],[])).
% 0.55/0.74 tff(473,axiom,(![K: $i] : loca_level_direct_below(K, sbu, confidential)), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax1')).
% 0.55/0.74 tff(474,plain,
% 0.55/0.74 (![K: $i] : loca_level_direct_below(K, sbu, confidential)),
% 0.55/0.74 inference(modus_ponens,[status(thm)],[473, 472])).
% 0.55/0.74 tff(475,plain,(
% 0.55/0.74 ![K: $i] : loca_level_direct_below(K, sbu, confidential)),
% 0.55/0.74 inference(skolemize,[status(sab)],[474])).
% 0.55/0.74 tff(476,plain,
% 0.55/0.74 (![K: $i] : loca_level_direct_below(K, sbu, confidential)),
% 0.55/0.74 inference(modus_ponens,[status(thm)],[475, 471])).
% 0.55/0.74 tff(477,plain,
% 0.55/0.74 ((~![K: $i] : loca_level_direct_below(K, sbu, confidential)) | loca_level_direct_below(admin, sbu, confidential)),
% 0.55/0.74 inference(quant_inst,[status(thm)],[])).
% 0.55/0.74 tff(478,plain,
% 0.55/0.74 ($false),
% 0.55/0.74 inference(unit_resolution,[status(thm)],[477, 476, 469])).
% 0.55/0.74 tff(479,plain,(loca_level_direct_below(admin, sbu, confidential)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.74 tff(480,assumption,(~loca_level_below(admin, sbu, sbu)), introduced(assumption)).
% 0.55/0.74 tff(481,plain,
% 0.55/0.74 ((~![K: $i, L: $i] : loca_level_below(K, L, L)) | loca_level_below(admin, sbu, sbu)),
% 0.55/0.74 inference(quant_inst,[status(thm)],[])).
% 0.55/0.74 tff(482,plain,
% 0.55/0.74 ($false),
% 0.55/0.74 inference(unit_resolution,[status(thm)],[481, 197, 480])).
% 0.55/0.74 tff(483,plain,(loca_level_below(admin, sbu, sbu)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.74 tff(484,plain,
% 0.55/0.74 (((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (loca_level_below(admin, sbu, confidential) | (~loca_level_direct_below(admin, sbu, confidential)) | (~loca_level_below(admin, sbu, sbu)))) <=> ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | loca_level_below(admin, sbu, confidential) | (~loca_level_direct_below(admin, sbu, confidential)) | (~loca_level_below(admin, sbu, sbu)))),
% 0.55/0.74 inference(rewrite,[status(thm)],[])).
% 0.55/0.74 tff(485,plain,
% 0.55/0.74 ((loca_level_below(admin, sbu, confidential) | (~loca_level_below(admin, sbu, sbu)) | (~loca_level_direct_below(admin, sbu, confidential))) <=> (loca_level_below(admin, sbu, confidential) | (~loca_level_direct_below(admin, sbu, confidential)) | (~loca_level_below(admin, sbu, sbu)))),
% 0.55/0.74 inference(rewrite,[status(thm)],[])).
% 0.55/0.74 tff(486,plain,
% 0.55/0.74 (((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (loca_level_below(admin, sbu, confidential) | (~loca_level_below(admin, sbu, sbu)) | (~loca_level_direct_below(admin, sbu, confidential)))) <=> ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (loca_level_below(admin, sbu, confidential) | (~loca_level_direct_below(admin, sbu, confidential)) | (~loca_level_below(admin, sbu, sbu))))),
% 0.55/0.74 inference(monotonicity,[status(thm)],[485])).
% 0.55/0.74 tff(487,plain,
% 0.55/0.74 (((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (loca_level_below(admin, sbu, confidential) | (~loca_level_below(admin, sbu, sbu)) | (~loca_level_direct_below(admin, sbu, confidential)))) <=> ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | loca_level_below(admin, sbu, confidential) | (~loca_level_direct_below(admin, sbu, confidential)) | (~loca_level_below(admin, sbu, sbu)))),
% 0.55/0.74 inference(transitivity,[status(thm)],[486, 484])).
% 0.55/0.74 tff(488,plain,
% 0.55/0.74 ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (loca_level_below(admin, sbu, confidential) | (~loca_level_below(admin, sbu, sbu)) | (~loca_level_direct_below(admin, sbu, confidential)))),
% 0.55/0.74 inference(quant_inst,[status(thm)],[])).
% 0.55/0.74 tff(489,plain,
% 0.55/0.74 ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | loca_level_below(admin, sbu, confidential) | (~loca_level_direct_below(admin, sbu, confidential)) | (~loca_level_below(admin, sbu, sbu))),
% 0.55/0.74 inference(modus_ponens,[status(thm)],[488, 487])).
% 0.55/0.74 tff(490,plain,
% 0.55/0.74 (loca_level_below(admin, sbu, confidential) | (~loca_level_direct_below(admin, sbu, confidential)) | (~loca_level_below(admin, sbu, sbu))),
% 0.55/0.74 inference(unit_resolution,[status(thm)],[489, 221])).
% 0.55/0.74 tff(491,plain,
% 0.55/0.74 (loca_level_below(admin, sbu, confidential)),
% 0.55/0.74 inference(unit_resolution,[status(thm)],[490, 483, 479])).
% 0.55/0.74 tff(492,plain,
% 0.55/0.74 (((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (loca_level_below(admin, sbu, secret) | (~loca_level_below(admin, sbu, confidential)) | (~loca_level_direct_below(admin, confidential, secret)))) <=> ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | loca_level_below(admin, sbu, secret) | (~loca_level_below(admin, sbu, confidential)) | (~loca_level_direct_below(admin, confidential, secret)))),
% 0.55/0.74 inference(rewrite,[status(thm)],[])).
% 0.55/0.74 tff(493,plain,
% 0.55/0.74 ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (loca_level_below(admin, sbu, secret) | (~loca_level_below(admin, sbu, confidential)) | (~loca_level_direct_below(admin, confidential, secret)))),
% 0.55/0.74 inference(quant_inst,[status(thm)],[])).
% 0.55/0.74 tff(494,plain,
% 0.55/0.74 ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | loca_level_below(admin, sbu, secret) | (~loca_level_below(admin, sbu, confidential)) | (~loca_level_direct_below(admin, confidential, secret))),
% 0.55/0.74 inference(modus_ponens,[status(thm)],[493, 492])).
% 0.55/0.74 tff(495,plain,
% 0.55/0.74 ($false),
% 0.55/0.74 inference(unit_resolution,[status(thm)],[494, 221, 491, 468, 373])).
% 0.55/0.74 tff(496,plain,(loca_level_below(admin, sbu, secret)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.74 tff(497,plain,
% 0.55/0.74 (((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (loca_level_below(admin, sbu, topsecret) | (~loca_level_below(admin, sbu, secret)) | (~loca_level_direct_below(admin, secret, topsecret)))) <=> ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | loca_level_below(admin, sbu, topsecret) | (~loca_level_below(admin, sbu, secret)) | (~loca_level_direct_below(admin, secret, topsecret)))),
% 0.55/0.75 inference(rewrite,[status(thm)],[])).
% 0.55/0.75 tff(498,plain,
% 0.55/0.75 ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | (loca_level_below(admin, sbu, topsecret) | (~loca_level_below(admin, sbu, secret)) | (~loca_level_direct_below(admin, secret, topsecret)))),
% 0.55/0.75 inference(quant_inst,[status(thm)],[])).
% 0.55/0.75 tff(499,plain,
% 0.55/0.75 ((~![K: $i, L: $i, L1: $i, L11: $i] : (loca_level_below(K, L, L11) | (~loca_level_below(K, L, L1)) | (~loca_level_direct_below(K, L1, L11)))) | loca_level_below(admin, sbu, topsecret) | (~loca_level_below(admin, sbu, secret)) | (~loca_level_direct_below(admin, secret, topsecret))),
% 0.55/0.75 inference(modus_ponens,[status(thm)],[498, 497])).
% 0.55/0.75 tff(500,plain,
% 0.55/0.75 (loca_level_below(admin, sbu, topsecret) | (~loca_level_below(admin, sbu, secret)) | (~loca_level_direct_below(admin, secret, topsecret))),
% 0.55/0.75 inference(unit_resolution,[status(thm)],[499, 221])).
% 0.55/0.75 tff(501,plain,
% 0.55/0.75 (loca_level_below(admin, sbu, topsecret) | (~loca_level_below(admin, sbu, secret))),
% 0.55/0.75 inference(unit_resolution,[status(thm)],[500, 211])).
% 0.55/0.75 tff(502,plain,
% 0.55/0.75 (loca_level_below(admin, sbu, topsecret)),
% 0.55/0.75 inference(unit_resolution,[status(thm)],[501, 496])).
% 0.55/0.75 tff(503,assumption,(~admin_indi_has_background(admin, alice, sbu)), introduced(assumption)).
% 0.55/0.75 tff(504,plain,
% 0.55/0.75 (((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | ((~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | admin_indi_has_background(admin, alice, sbu) | (~loca_level_below(admin, sbu, topsecret)))) <=> ((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | admin_indi_has_background(admin, alice, sbu) | (~loca_level_below(admin, sbu, topsecret)))),
% 0.55/0.75 inference(rewrite,[status(thm)],[])).
% 0.55/0.75 tff(505,plain,
% 0.55/0.75 ((admin_indi_has_background(admin, alice, sbu) | (~loca_level_below(admin, sbu, topsecret)) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin))) <=> ((~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | admin_indi_has_background(admin, alice, sbu) | (~loca_level_below(admin, sbu, topsecret)))),
% 0.55/0.75 inference(rewrite,[status(thm)],[])).
% 0.55/0.75 tff(506,plain,
% 0.55/0.75 (((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (admin_indi_has_background(admin, alice, sbu) | (~loca_level_below(admin, sbu, topsecret)) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)))) <=> ((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | ((~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | admin_indi_has_background(admin, alice, sbu) | (~loca_level_below(admin, sbu, topsecret))))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[505])).
% 0.55/0.75 tff(507,plain,
% 0.55/0.75 (((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (admin_indi_has_background(admin, alice, sbu) | (~loca_level_below(admin, sbu, topsecret)) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)))) <=> ((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | admin_indi_has_background(admin, alice, sbu) | (~loca_level_below(admin, sbu, topsecret)))),
% 0.55/0.75 inference(transitivity,[status(thm)],[506, 504])).
% 0.55/0.75 tff(508,plain,
% 0.55/0.75 ((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (admin_indi_has_background(admin, alice, sbu) | (~loca_level_below(admin, sbu, topsecret)) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)))),
% 0.55/0.75 inference(quant_inst,[status(thm)],[])).
% 0.55/0.75 tff(509,plain,
% 0.55/0.75 ((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | admin_indi_has_background(admin, alice, sbu) | (~loca_level_below(admin, sbu, topsecret))),
% 0.55/0.75 inference(modus_ponens,[status(thm)],[508, 507])).
% 0.55/0.75 tff(510,plain,
% 0.55/0.75 ($false),
% 0.55/0.75 inference(unit_resolution,[status(thm)],[509, 246, 236, 233, 503, 502])).
% 0.55/0.75 tff(511,plain,(admin_indi_has_background(admin, alice, sbu)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.75 tff(512,plain,
% 0.55/0.75 (((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | ((~system_indi_is_level_admin(system, level_admin)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~loca_level_below(admin, sbu, topsecret)) | (~admin_indi_has_background(admin, alice, sbu)) | (~loca_level_below(admin, sbu, secret)) | admin_indi_has_level(admin, alice, sbu) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_needs_level(system, alice, secret)))) <=> ((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | (~system_indi_is_level_admin(system, level_admin)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~loca_level_below(admin, sbu, topsecret)) | (~admin_indi_has_background(admin, alice, sbu)) | (~loca_level_below(admin, sbu, secret)) | admin_indi_has_level(admin, alice, sbu) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_needs_level(system, alice, secret)))),
% 0.55/0.75 inference(rewrite,[status(thm)],[])).
% 0.55/0.75 tff(513,plain,
% 0.55/0.75 ((admin_indi_has_level(admin, alice, sbu) | (~admin_indi_has_background(admin, alice, sbu)) | (~loca_level_below(admin, sbu, topsecret)) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_is_level_admin(system, level_admin)) | (~loca_level_below(admin, sbu, secret)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~system_indi_needs_level(system, alice, secret))) <=> ((~system_indi_is_level_admin(system, level_admin)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~loca_level_below(admin, sbu, topsecret)) | (~admin_indi_has_background(admin, alice, sbu)) | (~loca_level_below(admin, sbu, secret)) | admin_indi_has_level(admin, alice, sbu) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_needs_level(system, alice, secret)))),
% 0.55/0.75 inference(rewrite,[status(thm)],[])).
% 0.55/0.75 tff(514,plain,
% 0.55/0.75 (((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | (admin_indi_has_level(admin, alice, sbu) | (~admin_indi_has_background(admin, alice, sbu)) | (~loca_level_below(admin, sbu, topsecret)) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_is_level_admin(system, level_admin)) | (~loca_level_below(admin, sbu, secret)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~system_indi_needs_level(system, alice, secret)))) <=> ((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | ((~system_indi_is_level_admin(system, level_admin)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~loca_level_below(admin, sbu, topsecret)) | (~admin_indi_has_background(admin, alice, sbu)) | (~loca_level_below(admin, sbu, secret)) | admin_indi_has_level(admin, alice, sbu) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_needs_level(system, alice, secret))))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[513])).
% 0.55/0.75 tff(515,plain,
% 0.55/0.75 (((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | (admin_indi_has_level(admin, alice, sbu) | (~admin_indi_has_background(admin, alice, sbu)) | (~loca_level_below(admin, sbu, topsecret)) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_is_level_admin(system, level_admin)) | (~loca_level_below(admin, sbu, secret)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~system_indi_needs_level(system, alice, secret)))) <=> ((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | (~system_indi_is_level_admin(system, level_admin)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~loca_level_below(admin, sbu, topsecret)) | (~admin_indi_has_background(admin, alice, sbu)) | (~loca_level_below(admin, sbu, secret)) | admin_indi_has_level(admin, alice, sbu) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_needs_level(system, alice, secret)))),
% 0.55/0.75 inference(transitivity,[status(thm)],[514, 512])).
% 0.55/0.75 tff(516,plain,
% 0.55/0.75 ((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | (admin_indi_has_level(admin, alice, sbu) | (~admin_indi_has_background(admin, alice, sbu)) | (~loca_level_below(admin, sbu, topsecret)) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_is_level_admin(system, level_admin)) | (~loca_level_below(admin, sbu, secret)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~system_indi_needs_level(system, alice, secret)))),
% 0.55/0.75 inference(quant_inst,[status(thm)],[])).
% 0.55/0.75 tff(517,plain,
% 0.55/0.75 ((~![K: $i, L: $i, L1: $i, LA: $i, L11: $i] : (admin_indi_has_level(admin, K, L) | (~admin_indi_has_background(admin, K, L)) | (~loca_level_below(admin, L, L11)) | (~level_admin_indi_has_level(LA, K, L11)) | (~system_indi_is_level_admin(system, LA)) | (~loca_level_below(admin, L, L1)) | (~admin_indi_has_credit(admin, K)) | (~admin_indi_has_employment(admin, K)) | (~admin_indi_has_polygraph(admin, K)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~system_indi_needs_level(system, K, L1)))) | (~system_indi_is_level_admin(system, level_admin)) | (~admin_indi_has_credit(admin, alice)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_polygraph(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~loca_level_below(admin, sbu, topsecret)) | (~admin_indi_has_background(admin, alice, sbu)) | (~loca_level_below(admin, sbu, secret)) | admin_indi_has_level(admin, alice, sbu) | (~level_admin_indi_has_level(level_admin, alice, topsecret)) | (~system_indi_needs_level(system, alice, secret))),
% 0.55/0.75 inference(modus_ponens,[status(thm)],[516, 515])).
% 0.55/0.75 tff(518,plain,
% 0.55/0.75 ($false),
% 0.55/0.75 inference(unit_resolution,[status(thm)],[517, 350, 340, 337, 334, 331, 311, 291, 271, 511, 502, 496, 467])).
% 0.55/0.75 tff(519,plain,(admin_indi_has_level(admin, alice, sbu)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.75 tff(520,plain,
% 0.55/0.75 (oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no) <=> oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)),
% 0.55/0.75 inference(rewrite,[status(thm)],[])).
% 0.55/0.75 tff(521,axiom,(oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax43')).
% 0.55/0.75 tff(522,plain,
% 0.55/0.75 (oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)),
% 0.55/0.75 inference(modus_ponens,[status(thm)],[521, 520])).
% 0.55/0.75 tff(523,plain,
% 0.55/0.75 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))) | ((~system_indi_is_oca(system, oca)) | (~admin_indi_has_level(admin, alice, sbu)) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)) | admin_indi_has_level_for_compartment(admin, alice, compartmenta))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_level(admin, alice, sbu)) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)) | admin_indi_has_level_for_compartment(admin, alice, compartmenta))),
% 0.55/0.75 inference(rewrite,[status(thm)],[])).
% 0.55/0.75 tff(524,plain,
% 0.55/0.75 ((admin_indi_has_level_for_compartment(admin, alice, compartmenta) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_level(admin, alice, sbu))) <=> ((~system_indi_is_oca(system, oca)) | (~admin_indi_has_level(admin, alice, sbu)) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)) | admin_indi_has_level_for_compartment(admin, alice, compartmenta))),
% 0.55/0.75 inference(rewrite,[status(thm)],[])).
% 0.55/0.75 tff(525,plain,
% 0.55/0.75 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))) | (admin_indi_has_level_for_compartment(admin, alice, compartmenta) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_level(admin, alice, sbu)))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))) | ((~system_indi_is_oca(system, oca)) | (~admin_indi_has_level(admin, alice, sbu)) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)) | admin_indi_has_level_for_compartment(admin, alice, compartmenta)))),
% 0.55/0.75 inference(monotonicity,[status(thm)],[524])).
% 0.55/0.75 tff(526,plain,
% 0.55/0.75 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))) | (admin_indi_has_level_for_compartment(admin, alice, compartmenta) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_level(admin, alice, sbu)))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_level(admin, alice, sbu)) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)) | admin_indi_has_level_for_compartment(admin, alice, compartmenta))),
% 0.55/0.75 inference(transitivity,[status(thm)],[525, 523])).
% 0.55/0.75 tff(527,plain,
% 0.55/0.75 ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))) | (admin_indi_has_level_for_compartment(admin, alice, compartmenta) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_level(admin, alice, sbu)))),
% 0.55/0.75 inference(quant_inst,[status(thm)],[])).
% 0.55/0.75 tff(528,plain,
% 0.55/0.75 ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_level_for_compartment(admin, K, C) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)) | (~admin_indi_has_level(admin, K, L1)))) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_level(admin, alice, sbu)) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)) | admin_indi_has_level_for_compartment(admin, alice, compartmenta)),
% 0.55/0.75 inference(modus_ponens,[status(thm)],[527, 526])).
% 0.55/0.75 tff(529,plain,
% 0.55/0.75 ($false),
% 0.55/0.75 inference(unit_resolution,[status(thm)],[528, 420, 38, 522, 519, 466])).
% 0.55/0.75 tff(530,plain,(admin_indi_has_level_for_compartment(admin, alice, compartmenta)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.75 tff(531,assumption,(~admin_indi_has_compartments(admin, alice, nil)), introduced(assumption)).
% 0.55/0.75 tff(532,plain,
% 0.55/0.75 (^[K: $i] : refl(admin_indi_has_compartments(admin, K, nil) <=> admin_indi_has_compartments(admin, K, nil))),
% 0.55/0.75 inference(bind,[status(th)],[])).
% 0.55/0.75 tff(533,plain,
% 0.55/0.75 (![K: $i] : admin_indi_has_compartments(admin, K, nil) <=> ![K: $i] : admin_indi_has_compartments(admin, K, nil)),
% 0.55/0.75 inference(quant_intro,[status(thm)],[532])).
% 0.55/0.75 tff(534,plain,
% 0.55/0.75 (![K: $i] : admin_indi_has_compartments(admin, K, nil) <=> ![K: $i] : admin_indi_has_compartments(admin, K, nil)),
% 0.55/0.75 inference(rewrite,[status(thm)],[])).
% 0.55/0.75 tff(535,axiom,(![K: $i] : admin_indi_has_compartments(admin, K, nil)), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax26')).
% 0.55/0.75 tff(536,plain,
% 0.55/0.75 (![K: $i] : admin_indi_has_compartments(admin, K, nil)),
% 0.55/0.75 inference(modus_ponens,[status(thm)],[535, 534])).
% 0.55/0.75 tff(537,plain,(
% 0.55/0.75 ![K: $i] : admin_indi_has_compartments(admin, K, nil)),
% 0.55/0.75 inference(skolemize,[status(sab)],[536])).
% 0.55/0.75 tff(538,plain,
% 0.55/0.75 (![K: $i] : admin_indi_has_compartments(admin, K, nil)),
% 0.55/0.75 inference(modus_ponens,[status(thm)],[537, 533])).
% 0.55/0.75 tff(539,plain,
% 0.55/0.75 ((~![K: $i] : admin_indi_has_compartments(admin, K, nil)) | admin_indi_has_compartments(admin, alice, nil)),
% 0.55/0.75 inference(quant_inst,[status(thm)],[])).
% 0.55/0.75 tff(540,plain,
% 0.55/0.75 ($false),
% 0.55/0.75 inference(unit_resolution,[status(thm)],[539, 538, 531])).
% 0.55/0.75 tff(541,plain,(admin_indi_has_compartments(admin, alice, nil)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.75 tff(542,plain,
% 0.55/0.75 (^[K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : refl((admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no))) <=> (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no))))),
% 0.55/0.76 inference(bind,[status(th)],[])).
% 0.55/0.76 tff(543,plain,
% 0.55/0.76 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no))) <=> ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no)))),
% 0.55/0.76 inference(quant_intro,[status(thm)],[542])).
% 0.55/0.76 tff(544,plain,
% 0.55/0.76 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no))) <=> ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no)))),
% 0.55/0.76 inference(rewrite,[status(thm)],[])).
% 0.55/0.76 tff(545,plain,
% 0.55/0.76 (^[K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : trans(monotonicity(rewrite((oca_compartment_is_compartment(OCA, C, L1, L2, B1, no) => admin_indi_has_polygraph_for_compartment(admin, K, C)) <=> ((~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no)) | admin_indi_has_polygraph_for_compartment(admin, K, C))), ((system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, B1, no) => admin_indi_has_polygraph_for_compartment(admin, K, C))) <=> (system_indi_is_oca(system, OCA) => ((~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no)) | admin_indi_has_polygraph_for_compartment(admin, K, C))))), rewrite((system_indi_is_oca(system, OCA) => ((~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no)) | admin_indi_has_polygraph_for_compartment(admin, K, C))) <=> (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no)))), ((system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, B1, no) => admin_indi_has_polygraph_for_compartment(admin, K, C))) <=> (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no)))))),
% 0.55/0.76 inference(bind,[status(th)],[])).
% 0.55/0.76 tff(546,plain,
% 0.55/0.76 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, B1, no) => admin_indi_has_polygraph_for_compartment(admin, K, C))) <=> ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no)))),
% 0.55/0.76 inference(quant_intro,[status(thm)],[545])).
% 0.55/0.76 tff(547,axiom,(![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, B1, no) => admin_indi_has_polygraph_for_compartment(admin, K, C)))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax31')).
% 0.55/0.76 tff(548,plain,
% 0.55/0.76 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no)))),
% 0.55/0.76 inference(modus_ponens,[status(thm)],[547, 546])).
% 0.55/0.76 tff(549,plain,
% 0.55/0.76 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no)))),
% 0.55/0.76 inference(modus_ponens,[status(thm)],[548, 544])).
% 0.55/0.76 tff(550,plain,(
% 0.55/0.76 ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no)))),
% 0.55/0.76 inference(skolemize,[status(sab)],[549])).
% 0.55/0.76 tff(551,plain,
% 0.55/0.76 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no)))),
% 0.55/0.76 inference(modus_ponens,[status(thm)],[550, 543])).
% 0.55/0.76 tff(552,plain,
% 0.55/0.76 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no)))) | ((~system_indi_is_oca(system, oca)) | admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no)))) | (~system_indi_is_oca(system, oca)) | admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)))),
% 0.55/0.76 inference(rewrite,[status(thm)],[])).
% 0.55/0.76 tff(553,plain,
% 0.55/0.76 ((admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta) | (~system_indi_is_oca(system, oca)) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no))) <=> ((~system_indi_is_oca(system, oca)) | admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)))),
% 0.55/0.76 inference(rewrite,[status(thm)],[])).
% 0.55/0.76 tff(554,plain,
% 0.55/0.76 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no)))) | (admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta) | (~system_indi_is_oca(system, oca)) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no)))) | ((~system_indi_is_oca(system, oca)) | admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no))))),
% 0.55/0.76 inference(monotonicity,[status(thm)],[553])).
% 0.55/0.76 tff(555,plain,
% 0.55/0.76 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no)))) | (admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta) | (~system_indi_is_oca(system, oca)) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no)))) | (~system_indi_is_oca(system, oca)) | admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)))),
% 0.55/0.76 inference(transitivity,[status(thm)],[554, 552])).
% 0.55/0.76 tff(556,plain,
% 0.55/0.76 ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no)))) | (admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta) | (~system_indi_is_oca(system, oca)) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)))),
% 0.55/0.76 inference(quant_inst,[status(thm)],[])).
% 0.55/0.76 tff(557,plain,
% 0.55/0.76 ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i] : (admin_indi_has_polygraph_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, no)))) | (~system_indi_is_oca(system, oca)) | admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no))),
% 0.55/0.76 inference(modus_ponens,[status(thm)],[556, 555])).
% 0.55/0.76 tff(558,plain,
% 0.55/0.76 (admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta)),
% 0.55/0.76 inference(unit_resolution,[status(thm)],[557, 551, 38, 522])).
% 0.55/0.76 tff(559,assumption,(~admin_indi_has_background_for_compartment(admin, alice, compartmenta)), introduced(assumption)).
% 0.55/0.76 tff(560,assumption,(~admin_indi_has_background(admin, alice, unclassified)), introduced(assumption)).
% 0.55/0.76 tff(561,plain,
% 0.55/0.76 (^[K: $i] : refl(admin_indi_has_background(admin, K, unclassified) <=> admin_indi_has_background(admin, K, unclassified))),
% 0.55/0.76 inference(bind,[status(th)],[])).
% 0.55/0.76 tff(562,plain,
% 0.55/0.76 (![K: $i] : admin_indi_has_background(admin, K, unclassified) <=> ![K: $i] : admin_indi_has_background(admin, K, unclassified)),
% 0.55/0.76 inference(quant_intro,[status(thm)],[561])).
% 0.55/0.76 tff(563,plain,
% 0.55/0.76 (![K: $i] : admin_indi_has_background(admin, K, unclassified) <=> ![K: $i] : admin_indi_has_background(admin, K, unclassified)),
% 0.55/0.76 inference(rewrite,[status(thm)],[])).
% 0.55/0.76 tff(564,axiom,(![K: $i] : admin_indi_has_background(admin, K, unclassified)), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax19')).
% 0.55/0.76 tff(565,plain,
% 0.55/0.76 (![K: $i] : admin_indi_has_background(admin, K, unclassified)),
% 0.55/0.76 inference(modus_ponens,[status(thm)],[564, 563])).
% 0.55/0.76 tff(566,plain,(
% 0.55/0.76 ![K: $i] : admin_indi_has_background(admin, K, unclassified)),
% 0.55/0.76 inference(skolemize,[status(sab)],[565])).
% 0.55/0.76 tff(567,plain,
% 0.55/0.76 (![K: $i] : admin_indi_has_background(admin, K, unclassified)),
% 0.55/0.76 inference(modus_ponens,[status(thm)],[566, 562])).
% 0.55/0.76 tff(568,plain,
% 0.55/0.76 ((~![K: $i] : admin_indi_has_background(admin, K, unclassified)) | admin_indi_has_background(admin, alice, unclassified)),
% 0.55/0.76 inference(quant_inst,[status(thm)],[])).
% 0.55/0.76 tff(569,plain,
% 0.55/0.76 ($false),
% 0.55/0.76 inference(unit_resolution,[status(thm)],[568, 567, 560])).
% 0.55/0.76 tff(570,plain,(admin_indi_has_background(admin, alice, unclassified)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.76 tff(571,plain,
% 0.55/0.76 (^[K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : refl((admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA))) <=> (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA))))),
% 0.55/0.76 inference(bind,[status(th)],[])).
% 0.55/0.76 tff(572,plain,
% 0.55/0.76 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA))) <=> ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))),
% 0.55/0.76 inference(quant_intro,[status(thm)],[571])).
% 0.55/0.76 tff(573,plain,
% 0.55/0.76 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA))) <=> ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))),
% 0.55/0.76 inference(rewrite,[status(thm)],[])).
% 0.55/0.76 tff(574,plain,
% 0.55/0.76 (^[K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : trans(monotonicity(trans(monotonicity(rewrite((admin_indi_has_background(admin, K, L2) => admin_indi_has_background_for_compartment(admin, K, C)) <=> ((~admin_indi_has_background(admin, K, L2)) | admin_indi_has_background_for_compartment(admin, K, C))), ((oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2) => (admin_indi_has_background(admin, K, L2) => admin_indi_has_background_for_compartment(admin, K, C))) <=> (oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2) => ((~admin_indi_has_background(admin, K, L2)) | admin_indi_has_background_for_compartment(admin, K, C))))), rewrite((oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2) => ((~admin_indi_has_background(admin, K, L2)) | admin_indi_has_background_for_compartment(admin, K, C))) <=> (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)))), ((oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2) => (admin_indi_has_background(admin, K, L2) => admin_indi_has_background_for_compartment(admin, K, C))) <=> (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2))))), ((system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2) => (admin_indi_has_background(admin, K, L2) => admin_indi_has_background_for_compartment(admin, K, C)))) <=> (system_indi_is_oca(system, OCA) => (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)))))), rewrite((system_indi_is_oca(system, OCA) => (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)))) <=> (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))), ((system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2) => (admin_indi_has_background(admin, K, L2) => admin_indi_has_background_for_compartment(admin, K, C)))) <=> (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))))),
% 0.55/0.76 inference(bind,[status(th)],[])).
% 0.55/0.76 tff(575,plain,
% 0.55/0.76 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2) => (admin_indi_has_background(admin, K, L2) => admin_indi_has_background_for_compartment(admin, K, C)))) <=> ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))),
% 0.55/0.76 inference(quant_intro,[status(thm)],[574])).
% 0.55/0.76 tff(576,axiom,(![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2) => (admin_indi_has_background(admin, K, L2) => admin_indi_has_background_for_compartment(admin, K, C))))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax28')).
% 0.55/0.76 tff(577,plain,
% 0.55/0.76 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))),
% 0.55/0.76 inference(modus_ponens,[status(thm)],[576, 575])).
% 0.55/0.76 tff(578,plain,
% 0.55/0.76 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))),
% 0.55/0.76 inference(modus_ponens,[status(thm)],[577, 573])).
% 0.55/0.76 tff(579,plain,(
% 0.55/0.76 ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))),
% 0.55/0.76 inference(skolemize,[status(sab)],[578])).
% 0.55/0.76 tff(580,plain,
% 0.55/0.76 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))),
% 0.55/0.76 inference(modus_ponens,[status(thm)],[579, 572])).
% 0.55/0.76 tff(581,plain,
% 0.55/0.76 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))) | ((~system_indi_is_oca(system, oca)) | (~admin_indi_has_background(admin, alice, unclassified)) | admin_indi_has_background_for_compartment(admin, alice, compartmenta) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_background(admin, alice, unclassified)) | admin_indi_has_background_for_compartment(admin, alice, compartmenta) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)))),
% 0.60/0.76 inference(rewrite,[status(thm)],[])).
% 0.60/0.76 tff(582,plain,
% 0.60/0.76 ((admin_indi_has_background_for_compartment(admin, alice, compartmenta) | (~admin_indi_has_background(admin, alice, unclassified)) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)) | (~system_indi_is_oca(system, oca))) <=> ((~system_indi_is_oca(system, oca)) | (~admin_indi_has_background(admin, alice, unclassified)) | admin_indi_has_background_for_compartment(admin, alice, compartmenta) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)))),
% 0.60/0.76 inference(rewrite,[status(thm)],[])).
% 0.60/0.76 tff(583,plain,
% 0.60/0.76 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))) | (admin_indi_has_background_for_compartment(admin, alice, compartmenta) | (~admin_indi_has_background(admin, alice, unclassified)) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)) | (~system_indi_is_oca(system, oca)))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))) | ((~system_indi_is_oca(system, oca)) | (~admin_indi_has_background(admin, alice, unclassified)) | admin_indi_has_background_for_compartment(admin, alice, compartmenta) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no))))),
% 0.60/0.76 inference(monotonicity,[status(thm)],[582])).
% 0.60/0.76 tff(584,plain,
% 0.60/0.76 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))) | (admin_indi_has_background_for_compartment(admin, alice, compartmenta) | (~admin_indi_has_background(admin, alice, unclassified)) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)) | (~system_indi_is_oca(system, oca)))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_background(admin, alice, unclassified)) | admin_indi_has_background_for_compartment(admin, alice, compartmenta) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)))),
% 0.60/0.76 inference(transitivity,[status(thm)],[583, 581])).
% 0.60/0.76 tff(585,plain,
% 0.60/0.76 ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))) | (admin_indi_has_background_for_compartment(admin, alice, compartmenta) | (~admin_indi_has_background(admin, alice, unclassified)) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)) | (~system_indi_is_oca(system, oca)))),
% 0.60/0.76 inference(quant_inst,[status(thm)],[])).
% 0.60/0.76 tff(586,plain,
% 0.60/0.76 ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))) | (~system_indi_is_oca(system, oca)) | (~admin_indi_has_background(admin, alice, unclassified)) | admin_indi_has_background_for_compartment(admin, alice, compartmenta) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no))),
% 0.60/0.76 inference(modus_ponens,[status(thm)],[585, 584])).
% 0.60/0.76 tff(587,plain,
% 0.60/0.76 ($false),
% 0.60/0.76 inference(unit_resolution,[status(thm)],[586, 580, 38, 522, 570, 559])).
% 0.60/0.76 tff(588,plain,(admin_indi_has_background_for_compartment(admin, alice, compartmenta)), inference(lemma,lemma(discharge,[]))).
% 0.60/0.76 tff(589,assumption,(~admin_indi_has_compartments(admin, alice, cons(compartmenta, nil))), introduced(assumption)).
% 0.60/0.76 tff(590,assumption,(~admin_indi_has_credit_for_compartment(admin, alice, compartmenta)), introduced(assumption)).
% 0.60/0.76 tff(591,plain,
% 0.60/0.76 (^[K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : refl((admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2))) <=> (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2))))),
% 0.60/0.76 inference(bind,[status(th)],[])).
% 0.60/0.76 tff(592,plain,
% 0.60/0.76 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2))) <=> ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2)))),
% 0.60/0.76 inference(quant_intro,[status(thm)],[591])).
% 0.60/0.76 tff(593,plain,
% 0.60/0.76 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2))) <=> ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2)))),
% 0.60/0.76 inference(rewrite,[status(thm)],[])).
% 0.60/0.76 tff(594,plain,
% 0.60/0.76 (^[K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : trans(monotonicity(rewrite((oca_compartment_is_compartment(OCA, C, L1, L2, no, B2) => admin_indi_has_credit_for_compartment(admin, K, C)) <=> ((~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2)) | admin_indi_has_credit_for_compartment(admin, K, C))), ((system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, no, B2) => admin_indi_has_credit_for_compartment(admin, K, C))) <=> (system_indi_is_oca(system, OCA) => ((~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2)) | admin_indi_has_credit_for_compartment(admin, K, C))))), rewrite((system_indi_is_oca(system, OCA) => ((~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2)) | admin_indi_has_credit_for_compartment(admin, K, C))) <=> (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2)))), ((system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, no, B2) => admin_indi_has_credit_for_compartment(admin, K, C))) <=> (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2)))))),
% 0.60/0.76 inference(bind,[status(th)],[])).
% 0.60/0.76 tff(595,plain,
% 0.60/0.76 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, no, B2) => admin_indi_has_credit_for_compartment(admin, K, C))) <=> ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2)))),
% 0.60/0.76 inference(quant_intro,[status(thm)],[594])).
% 0.60/0.76 tff(596,axiom,(![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (system_indi_is_oca(system, OCA) => (oca_compartment_is_compartment(OCA, C, L1, L2, no, B2) => admin_indi_has_credit_for_compartment(admin, K, C)))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax33')).
% 0.60/0.77 tff(597,plain,
% 0.60/0.77 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2)))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[596, 595])).
% 0.60/0.77 tff(598,plain,
% 0.60/0.77 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2)))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[597, 593])).
% 0.60/0.77 tff(599,plain,(
% 0.60/0.77 ![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2)))),
% 0.60/0.77 inference(skolemize,[status(sab)],[598])).
% 0.60/0.77 tff(600,plain,
% 0.60/0.77 (![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2)))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[599, 592])).
% 0.60/0.77 tff(601,plain,
% 0.60/0.77 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2)))) | ((~system_indi_is_oca(system, oca)) | admin_indi_has_credit_for_compartment(admin, alice, compartmenta) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2)))) | (~system_indi_is_oca(system, oca)) | admin_indi_has_credit_for_compartment(admin, alice, compartmenta) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(602,plain,
% 0.60/0.77 ((admin_indi_has_credit_for_compartment(admin, alice, compartmenta) | (~system_indi_is_oca(system, oca)) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no))) <=> ((~system_indi_is_oca(system, oca)) | admin_indi_has_credit_for_compartment(admin, alice, compartmenta) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(603,plain,
% 0.60/0.77 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2)))) | (admin_indi_has_credit_for_compartment(admin, alice, compartmenta) | (~system_indi_is_oca(system, oca)) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2)))) | ((~system_indi_is_oca(system, oca)) | admin_indi_has_credit_for_compartment(admin, alice, compartmenta) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no))))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[602])).
% 0.60/0.77 tff(604,plain,
% 0.60/0.77 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2)))) | (admin_indi_has_credit_for_compartment(admin, alice, compartmenta) | (~system_indi_is_oca(system, oca)) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2)))) | (~system_indi_is_oca(system, oca)) | admin_indi_has_credit_for_compartment(admin, alice, compartmenta) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)))),
% 0.60/0.77 inference(transitivity,[status(thm)],[603, 601])).
% 0.60/0.77 tff(605,plain,
% 0.60/0.77 ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2)))) | (admin_indi_has_credit_for_compartment(admin, alice, compartmenta) | (~system_indi_is_oca(system, oca)) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no)))),
% 0.60/0.77 inference(quant_inst,[status(thm)],[])).
% 0.60/0.77 tff(606,plain,
% 0.60/0.77 ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B2: $i] : (admin_indi_has_credit_for_compartment(admin, K, C) | (~system_indi_is_oca(system, OCA)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, no, B2)))) | (~system_indi_is_oca(system, oca)) | admin_indi_has_credit_for_compartment(admin, alice, compartmenta) | (~oca_compartment_is_compartment(oca, compartmenta, sbu, unclassified, no, no))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[605, 604])).
% 0.60/0.77 tff(607,plain,
% 0.60/0.77 ($false),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[606, 600, 38, 522, 590])).
% 0.60/0.77 tff(608,plain,(admin_indi_has_credit_for_compartment(admin, alice, compartmenta)), inference(lemma,lemma(discharge,[]))).
% 0.60/0.77 tff(609,plain,
% 0.60/0.77 (sso_indi_has_compartment(sso_compartmenta, alice, compartmenta) <=> sso_indi_has_compartment(sso_compartmenta, alice, compartmenta)),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(610,axiom,(sso_indi_has_compartment(sso_compartmenta, alice, compartmenta)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax81')).
% 0.60/0.77 tff(611,plain,
% 0.60/0.77 (sso_indi_has_compartment(sso_compartmenta, alice, compartmenta)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[610, 609])).
% 0.60/0.77 tff(612,plain,
% 0.60/0.77 (system_indi_needs_compartment(system, alice, compartmenta) <=> system_indi_needs_compartment(system, alice, compartmenta)),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(613,axiom,(system_indi_needs_compartment(system, alice, compartmenta)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax79')).
% 0.60/0.77 tff(614,plain,
% 0.60/0.77 (system_indi_needs_compartment(system, alice, compartmenta)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[613, 612])).
% 0.60/0.77 tff(615,plain,
% 0.60/0.77 (^[K: $i, C: $i, CL: $i, SSO: $i] : refl((admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C))) <=> (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C))))),
% 0.60/0.77 inference(bind,[status(th)],[])).
% 0.60/0.77 tff(616,plain,
% 0.60/0.77 (![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C))) <=> ![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))),
% 0.60/0.77 inference(quant_intro,[status(thm)],[615])).
% 0.60/0.77 tff(617,plain,
% 0.60/0.77 (![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C))) <=> ![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(618,plain,
% 0.60/0.77 (^[K: $i, C: $i, CL: $i, SSO: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments(admin, K, cons(C, CL))) <=> ((~admin_indi_has_compartments(admin, K, CL)) | admin_indi_has_compartments(admin, K, cons(C, CL)))), ((admin_indi_has_level_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments(admin, K, cons(C, CL)))) <=> (admin_indi_has_level_for_compartment(admin, K, C) => ((~admin_indi_has_compartments(admin, K, CL)) | admin_indi_has_compartments(admin, K, cons(C, CL)))))), rewrite((admin_indi_has_level_for_compartment(admin, K, C) => ((~admin_indi_has_compartments(admin, K, CL)) | admin_indi_has_compartments(admin, K, cons(C, CL)))) <=> (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)))), ((admin_indi_has_level_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments(admin, K, cons(C, CL)))) <=> (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C))))), ((admin_indi_has_background_for_compartment(admin, K, C) => (admin_indi_has_level_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments(admin, K, cons(C, CL))))) <=> (admin_indi_has_background_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)))))), rewrite((admin_indi_has_background_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)))) <=> (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)))), ((admin_indi_has_background_for_compartment(admin, K, C) => (admin_indi_has_level_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments(admin, K, cons(C, CL))))) <=> (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C))))), ((sso_indi_has_compartment(SSO, K, C) => (admin_indi_has_background_for_compartment(admin, K, C) => (admin_indi_has_level_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments(admin, K, cons(C, CL)))))) <=> (sso_indi_has_compartment(SSO, K, C) => (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)))))), rewrite((sso_indi_has_compartment(SSO, K, C) => (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)))) <=> (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)))), ((sso_indi_has_compartment(SSO, K, C) => (admin_indi_has_background_for_compartment(admin, K, C) => (admin_indi_has_level_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments(admin, K, cons(C, CL)))))) <=> (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C))))), ((admin_compartment_has_sso(admin, C, SSO) => (sso_indi_has_compartment(SSO, K, C) => (admin_indi_has_background_for_compartment(admin, K, C) => (admin_indi_has_level_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments(admin, K, cons(C, CL))))))) <=> (admin_compartment_has_sso(admin, C, SSO) => (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)))))), rewrite((admin_compartment_has_sso(admin, C, SSO) => (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)))) <=> (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)))), ((admin_compartment_has_sso(admin, C, SSO) => (sso_indi_has_compartment(SSO, K, C) => (admin_indi_has_background_for_compartment(admin, K, C) => (admin_indi_has_level_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments(admin, K, cons(C, CL))))))) <=> (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C))))), ((admin_indi_has_credit_for_compartment(admin, K, C) => (admin_compartment_has_sso(admin, C, SSO) => (sso_indi_has_compartment(SSO, K, C) => (admin_indi_has_background_for_compartment(admin, K, C) => (admin_indi_has_level_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments(admin, K, cons(C, CL)))))))) <=> (admin_indi_has_credit_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)))))), rewrite((admin_indi_has_credit_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)))) <=> (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)))), ((admin_indi_has_credit_for_compartment(admin, K, C) => (admin_compartment_has_sso(admin, C, SSO) => (sso_indi_has_compartment(SSO, K, C) => (admin_indi_has_background_for_compartment(admin, K, C) => (admin_indi_has_level_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments(admin, K, cons(C, CL)))))))) <=> (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C))))), ((admin_indi_has_polygraph_for_compartment(admin, K, C) => (admin_indi_has_credit_for_compartment(admin, K, C) => (admin_compartment_has_sso(admin, C, SSO) => (sso_indi_has_compartment(SSO, K, C) => (admin_indi_has_background_for_compartment(admin, K, C) => (admin_indi_has_level_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments(admin, K, cons(C, CL))))))))) <=> (admin_indi_has_polygraph_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)))))), rewrite((admin_indi_has_polygraph_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)))) <=> (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)))), ((admin_indi_has_polygraph_for_compartment(admin, K, C) => (admin_indi_has_credit_for_compartment(admin, K, C) => (admin_compartment_has_sso(admin, C, SSO) => (sso_indi_has_compartment(SSO, K, C) => (admin_indi_has_background_for_compartment(admin, K, C) => (admin_indi_has_level_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments(admin, K, cons(C, CL))))))))) <=> (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C))))), ((admin_indi_has_citizenship(admin, K, usa) => (admin_indi_has_polygraph_for_compartment(admin, K, C) => (admin_indi_has_credit_for_compartment(admin, K, C) => (admin_compartment_has_sso(admin, C, SSO) => (sso_indi_has_compartment(SSO, K, C) => (admin_indi_has_background_for_compartment(admin, K, C) => (admin_indi_has_level_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments(admin, K, cons(C, CL)))))))))) <=> (admin_indi_has_citizenship(admin, K, usa) => (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)))))), rewrite((admin_indi_has_citizenship(admin, K, usa) => (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)))) <=> (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)))), ((admin_indi_has_citizenship(admin, K, usa) => (admin_indi_has_polygraph_for_compartment(admin, K, C) => (admin_indi_has_credit_for_compartment(admin, K, C) => (admin_compartment_has_sso(admin, C, SSO) => (sso_indi_has_compartment(SSO, K, C) => (admin_indi_has_background_for_compartment(admin, K, C) => (admin_indi_has_level_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments(admin, K, cons(C, CL)))))))))) <=> (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa))))), ((admin_indi_has_employment(admin, K) => (admin_indi_has_citizenship(admin, K, usa) => (admin_indi_has_polygraph_for_compartment(admin, K, C) => (admin_indi_has_credit_for_compartment(admin, K, C) => (admin_compartment_has_sso(admin, C, SSO) => (sso_indi_has_compartment(SSO, K, C) => (admin_indi_has_background_for_compartment(admin, K, C) => (admin_indi_has_level_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments(admin, K, cons(C, CL))))))))))) <=> (admin_indi_has_employment(admin, K) => (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)))))), rewrite((admin_indi_has_employment(admin, K) => (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)))) <=> (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)))), ((admin_indi_has_employment(admin, K) => (admin_indi_has_citizenship(admin, K, usa) => (admin_indi_has_polygraph_for_compartment(admin, K, C) => (admin_indi_has_credit_for_compartment(admin, K, C) => (admin_compartment_has_sso(admin, C, SSO) => (sso_indi_has_compartment(SSO, K, C) => (admin_indi_has_background_for_compartment(admin, K, C) => (admin_indi_has_level_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments(admin, K, cons(C, CL))))))))))) <=> (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K))))), ((system_indi_needs_compartment(system, K, C) => (admin_indi_has_employment(admin, K) => (admin_indi_has_citizenship(admin, K, usa) => (admin_indi_has_polygraph_for_compartment(admin, K, C) => (admin_indi_has_credit_for_compartment(admin, K, C) => (admin_compartment_has_sso(admin, C, SSO) => (sso_indi_has_compartment(SSO, K, C) => (admin_indi_has_background_for_compartment(admin, K, C) => (admin_indi_has_level_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments(admin, K, cons(C, CL)))))))))))) <=> (system_indi_needs_compartment(system, K, C) => (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)))))), rewrite((system_indi_needs_compartment(system, K, C) => (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)))) <=> (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))), ((system_indi_needs_compartment(system, K, C) => (admin_indi_has_employment(admin, K) => (admin_indi_has_citizenship(admin, K, usa) => (admin_indi_has_polygraph_for_compartment(admin, K, C) => (admin_indi_has_credit_for_compartment(admin, K, C) => (admin_compartment_has_sso(admin, C, SSO) => (sso_indi_has_compartment(SSO, K, C) => (admin_indi_has_background_for_compartment(admin, K, C) => (admin_indi_has_level_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments(admin, K, cons(C, CL)))))))))))) <=> (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))))),
% 0.60/0.77 inference(bind,[status(th)],[])).
% 0.60/0.77 tff(619,plain,
% 0.60/0.77 (![K: $i, C: $i, CL: $i, SSO: $i] : (system_indi_needs_compartment(system, K, C) => (admin_indi_has_employment(admin, K) => (admin_indi_has_citizenship(admin, K, usa) => (admin_indi_has_polygraph_for_compartment(admin, K, C) => (admin_indi_has_credit_for_compartment(admin, K, C) => (admin_compartment_has_sso(admin, C, SSO) => (sso_indi_has_compartment(SSO, K, C) => (admin_indi_has_background_for_compartment(admin, K, C) => (admin_indi_has_level_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments(admin, K, cons(C, CL)))))))))))) <=> ![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))),
% 0.60/0.77 inference(quant_intro,[status(thm)],[618])).
% 0.60/0.77 tff(620,axiom,(![K: $i, C: $i, CL: $i, SSO: $i] : (system_indi_needs_compartment(system, K, C) => (admin_indi_has_employment(admin, K) => (admin_indi_has_citizenship(admin, K, usa) => (admin_indi_has_polygraph_for_compartment(admin, K, C) => (admin_indi_has_credit_for_compartment(admin, K, C) => (admin_compartment_has_sso(admin, C, SSO) => (sso_indi_has_compartment(SSO, K, C) => (admin_indi_has_background_for_compartment(admin, K, C) => (admin_indi_has_level_for_compartment(admin, K, C) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments(admin, K, cons(C, CL))))))))))))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax27')).
% 0.60/0.77 tff(621,plain,
% 0.60/0.77 (![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[620, 619])).
% 0.60/0.77 tff(622,plain,
% 0.60/0.77 (![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[621, 617])).
% 0.60/0.77 tff(623,plain,(
% 0.60/0.77 ![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))),
% 0.60/0.77 inference(skolemize,[status(sab)],[622])).
% 0.60/0.77 tff(624,plain,
% 0.60/0.77 (![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[623, 616])).
% 0.60/0.77 tff(625,plain,
% 0.60/0.77 (((~![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))) | ((~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~admin_indi_has_compartments(admin, alice, nil)) | admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~sso_indi_has_compartment(sso_compartmenta, alice, compartmenta)) | (~admin_indi_has_credit_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta)) | (~system_indi_needs_compartment(system, alice, compartmenta)) | (~admin_indi_has_level_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_background_for_compartment(admin, alice, compartmenta)))) <=> ((~![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~admin_indi_has_compartments(admin, alice, nil)) | admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~sso_indi_has_compartment(sso_compartmenta, alice, compartmenta)) | (~admin_indi_has_credit_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta)) | (~system_indi_needs_compartment(system, alice, compartmenta)) | (~admin_indi_has_level_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_background_for_compartment(admin, alice, compartmenta)))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(626,plain,
% 0.60/0.78 ((admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~admin_indi_has_compartments(admin, alice, nil)) | (~admin_indi_has_level_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_background_for_compartment(admin, alice, compartmenta)) | (~sso_indi_has_compartment(sso_compartmenta, alice, compartmenta)) | (~admin_indi_has_credit_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~admin_indi_has_employment(admin, alice)) | (~system_indi_needs_compartment(system, alice, compartmenta))) <=> ((~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~admin_indi_has_compartments(admin, alice, nil)) | admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~sso_indi_has_compartment(sso_compartmenta, alice, compartmenta)) | (~admin_indi_has_credit_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta)) | (~system_indi_needs_compartment(system, alice, compartmenta)) | (~admin_indi_has_level_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_background_for_compartment(admin, alice, compartmenta)))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(627,plain,
% 0.60/0.78 (((~![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))) | (admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~admin_indi_has_compartments(admin, alice, nil)) | (~admin_indi_has_level_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_background_for_compartment(admin, alice, compartmenta)) | (~sso_indi_has_compartment(sso_compartmenta, alice, compartmenta)) | (~admin_indi_has_credit_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~admin_indi_has_employment(admin, alice)) | (~system_indi_needs_compartment(system, alice, compartmenta)))) <=> ((~![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))) | ((~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~admin_indi_has_compartments(admin, alice, nil)) | admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~sso_indi_has_compartment(sso_compartmenta, alice, compartmenta)) | (~admin_indi_has_credit_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta)) | (~system_indi_needs_compartment(system, alice, compartmenta)) | (~admin_indi_has_level_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_background_for_compartment(admin, alice, compartmenta))))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[626])).
% 0.60/0.78 tff(628,plain,
% 0.60/0.78 (((~![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))) | (admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~admin_indi_has_compartments(admin, alice, nil)) | (~admin_indi_has_level_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_background_for_compartment(admin, alice, compartmenta)) | (~sso_indi_has_compartment(sso_compartmenta, alice, compartmenta)) | (~admin_indi_has_credit_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~admin_indi_has_employment(admin, alice)) | (~system_indi_needs_compartment(system, alice, compartmenta)))) <=> ((~![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~admin_indi_has_compartments(admin, alice, nil)) | admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~sso_indi_has_compartment(sso_compartmenta, alice, compartmenta)) | (~admin_indi_has_credit_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta)) | (~system_indi_needs_compartment(system, alice, compartmenta)) | (~admin_indi_has_level_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_background_for_compartment(admin, alice, compartmenta)))),
% 0.60/0.78 inference(transitivity,[status(thm)],[627, 625])).
% 0.60/0.78 tff(629,plain,
% 0.60/0.78 ((~![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))) | (admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~admin_indi_has_compartments(admin, alice, nil)) | (~admin_indi_has_level_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_background_for_compartment(admin, alice, compartmenta)) | (~sso_indi_has_compartment(sso_compartmenta, alice, compartmenta)) | (~admin_indi_has_credit_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~admin_indi_has_employment(admin, alice)) | (~system_indi_needs_compartment(system, alice, compartmenta)))),
% 0.60/0.78 inference(quant_inst,[status(thm)],[])).
% 0.60/0.78 tff(630,plain,
% 0.60/0.78 ((~![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))) | (~admin_compartment_has_sso(admin, compartmenta, sso_compartmenta)) | (~admin_indi_has_compartments(admin, alice, nil)) | admin_indi_has_compartments(admin, alice, cons(compartmenta, nil)) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~sso_indi_has_compartment(sso_compartmenta, alice, compartmenta)) | (~admin_indi_has_credit_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_polygraph_for_compartment(admin, alice, compartmenta)) | (~system_indi_needs_compartment(system, alice, compartmenta)) | (~admin_indi_has_level_for_compartment(admin, alice, compartmenta)) | (~admin_indi_has_background_for_compartment(admin, alice, compartmenta))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[629, 628])).
% 0.60/0.78 tff(631,plain,
% 0.60/0.78 ($false),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[630, 624, 614, 611, 29, 291, 271, 608, 589, 588, 558, 541, 530])).
% 0.60/0.78 tff(632,plain,(admin_indi_has_compartments(admin, alice, cons(compartmenta, nil))), inference(lemma,lemma(discharge,[]))).
% 0.60/0.78 tff(633,assumption,(~loca_level_below(admin, topsecret, topsecret)), introduced(assumption)).
% 0.60/0.78 tff(634,plain,
% 0.60/0.78 ((~![K: $i, L: $i] : loca_level_below(K, L, L)) | loca_level_below(admin, topsecret, topsecret)),
% 0.60/0.78 inference(quant_inst,[status(thm)],[])).
% 0.60/0.78 tff(635,plain,
% 0.60/0.78 ($false),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[634, 197, 633])).
% 0.60/0.78 tff(636,plain,(loca_level_below(admin, topsecret, topsecret)), inference(lemma,lemma(discharge,[]))).
% 0.60/0.78 tff(637,assumption,(~admin_indi_has_background(admin, alice, topsecret)), introduced(assumption)).
% 0.60/0.78 tff(638,plain,
% 0.60/0.78 (((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | ((~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | (~loca_level_below(admin, topsecret, topsecret)) | admin_indi_has_background(admin, alice, topsecret))) <=> ((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | (~loca_level_below(admin, topsecret, topsecret)) | admin_indi_has_background(admin, alice, topsecret))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(639,plain,
% 0.60/0.78 ((admin_indi_has_background(admin, alice, topsecret) | (~loca_level_below(admin, topsecret, topsecret)) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin))) <=> ((~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | (~loca_level_below(admin, topsecret, topsecret)) | admin_indi_has_background(admin, alice, topsecret))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(640,plain,
% 0.60/0.78 (((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (admin_indi_has_background(admin, alice, topsecret) | (~loca_level_below(admin, topsecret, topsecret)) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)))) <=> ((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | ((~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | (~loca_level_below(admin, topsecret, topsecret)) | admin_indi_has_background(admin, alice, topsecret)))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[639])).
% 0.60/0.78 tff(641,plain,
% 0.60/0.78 (((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (admin_indi_has_background(admin, alice, topsecret) | (~loca_level_below(admin, topsecret, topsecret)) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)))) <=> ((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | (~loca_level_below(admin, topsecret, topsecret)) | admin_indi_has_background(admin, alice, topsecret))),
% 0.60/0.78 inference(transitivity,[status(thm)],[640, 638])).
% 0.60/0.78 tff(642,plain,
% 0.60/0.78 ((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (admin_indi_has_background(admin, alice, topsecret) | (~loca_level_below(admin, topsecret, topsecret)) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)))),
% 0.60/0.78 inference(quant_inst,[status(thm)],[])).
% 0.60/0.78 tff(643,plain,
% 0.60/0.78 ((~![K: $i, L: $i, BA: $i, L1: $i] : (admin_indi_has_background(admin, K, L) | (~loca_level_below(admin, L, L1)) | (~background_admin_indi_has_background(BA, K, L1)) | (~system_indi_is_background_admin(system, BA)))) | (~background_admin_indi_has_background(background_admin, alice, topsecret)) | (~system_indi_is_background_admin(system, background_admin)) | (~loca_level_below(admin, topsecret, topsecret)) | admin_indi_has_background(admin, alice, topsecret)),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[642, 641])).
% 0.60/0.78 tff(644,plain,
% 0.60/0.78 ($false),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[643, 246, 236, 233, 637, 636])).
% 0.60/0.78 tff(645,plain,(admin_indi_has_background(admin, alice, topsecret)), inference(lemma,lemma(discharge,[]))).
% 0.60/0.78 tff(646,assumption,(~admin_indi_has_background_for_compartment(admin, alice, compartmentb)), introduced(assumption)).
% 0.60/0.78 tff(647,plain,
% 0.60/0.78 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))) | ((~system_indi_is_oca(system, oca)) | admin_indi_has_background_for_compartment(admin, alice, compartmentb) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)) | (~admin_indi_has_background(admin, alice, topsecret)))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))) | (~system_indi_is_oca(system, oca)) | admin_indi_has_background_for_compartment(admin, alice, compartmentb) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)) | (~admin_indi_has_background(admin, alice, topsecret)))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(648,plain,
% 0.60/0.78 ((admin_indi_has_background_for_compartment(admin, alice, compartmentb) | (~admin_indi_has_background(admin, alice, topsecret)) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)) | (~system_indi_is_oca(system, oca))) <=> ((~system_indi_is_oca(system, oca)) | admin_indi_has_background_for_compartment(admin, alice, compartmentb) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)) | (~admin_indi_has_background(admin, alice, topsecret)))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(649,plain,
% 0.60/0.78 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))) | (admin_indi_has_background_for_compartment(admin, alice, compartmentb) | (~admin_indi_has_background(admin, alice, topsecret)) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)) | (~system_indi_is_oca(system, oca)))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))) | ((~system_indi_is_oca(system, oca)) | admin_indi_has_background_for_compartment(admin, alice, compartmentb) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)) | (~admin_indi_has_background(admin, alice, topsecret))))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[648])).
% 0.60/0.78 tff(650,plain,
% 0.60/0.78 (((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))) | (admin_indi_has_background_for_compartment(admin, alice, compartmentb) | (~admin_indi_has_background(admin, alice, topsecret)) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)) | (~system_indi_is_oca(system, oca)))) <=> ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))) | (~system_indi_is_oca(system, oca)) | admin_indi_has_background_for_compartment(admin, alice, compartmentb) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)) | (~admin_indi_has_background(admin, alice, topsecret)))),
% 0.60/0.78 inference(transitivity,[status(thm)],[649, 647])).
% 0.60/0.78 tff(651,plain,
% 0.60/0.78 ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))) | (admin_indi_has_background_for_compartment(admin, alice, compartmentb) | (~admin_indi_has_background(admin, alice, topsecret)) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)) | (~system_indi_is_oca(system, oca)))),
% 0.60/0.78 inference(quant_inst,[status(thm)],[])).
% 0.60/0.78 tff(652,plain,
% 0.60/0.78 ((~![K: $i, C: $i, OCA: $i, L1: $i, L2: $i, B1: $i, B2: $i] : (admin_indi_has_background_for_compartment(admin, K, C) | (~admin_indi_has_background(admin, K, L2)) | (~oca_compartment_is_compartment(OCA, C, L1, L2, B1, B2)) | (~system_indi_is_oca(system, OCA)))) | (~system_indi_is_oca(system, oca)) | admin_indi_has_background_for_compartment(admin, alice, compartmentb) | (~oca_compartment_is_compartment(oca, compartmentb, confidential, topsecret, yes, yes)) | (~admin_indi_has_background(admin, alice, topsecret))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[651, 650])).
% 0.60/0.78 tff(653,plain,
% 0.60/0.78 ($false),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[652, 580, 38, 410, 646, 645])).
% 0.60/0.78 tff(654,plain,(admin_indi_has_background_for_compartment(admin, alice, compartmentb)), inference(lemma,lemma(discharge,[]))).
% 0.60/0.78 tff(655,plain,
% 0.60/0.78 (sso_indi_has_compartment(sso_compartmentb, alice, compartmentb) <=> sso_indi_has_compartment(sso_compartmentb, alice, compartmentb)),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(656,axiom,(sso_indi_has_compartment(sso_compartmentb, alice, compartmentb)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax80')).
% 0.60/0.78 tff(657,plain,
% 0.60/0.78 (sso_indi_has_compartment(sso_compartmentb, alice, compartmentb)),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[656, 655])).
% 0.60/0.78 tff(658,plain,
% 0.60/0.78 (system_indi_needs_compartment(system, alice, compartmentb) <=> system_indi_needs_compartment(system, alice, compartmentb)),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(659,axiom,(system_indi_needs_compartment(system, alice, compartmentb)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax78')).
% 0.60/0.78 tff(660,plain,
% 0.60/0.78 (system_indi_needs_compartment(system, alice, compartmentb)),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[659, 658])).
% 0.60/0.78 tff(661,plain,
% 0.60/0.78 (((~![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))) | ((~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))) | (~admin_indi_has_compartments(admin, alice, cons(compartmenta, nil))) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~system_indi_needs_compartment(system, alice, compartmentb)) | (~admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_credit_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_level_for_compartment(admin, alice, compartmentb)) | (~sso_indi_has_compartment(sso_compartmentb, alice, compartmentb)) | (~admin_indi_has_background_for_compartment(admin, alice, compartmentb)))) <=> ((~![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))) | (~admin_indi_has_compartments(admin, alice, cons(compartmenta, nil))) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~system_indi_needs_compartment(system, alice, compartmentb)) | (~admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_credit_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_level_for_compartment(admin, alice, compartmentb)) | (~sso_indi_has_compartment(sso_compartmentb, alice, compartmentb)) | (~admin_indi_has_background_for_compartment(admin, alice, compartmentb)))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(662,plain,
% 0.60/0.78 ((admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | (~admin_indi_has_compartments(admin, alice, cons(compartmenta, nil))) | (~admin_indi_has_level_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_background_for_compartment(admin, alice, compartmentb)) | (~sso_indi_has_compartment(sso_compartmentb, alice, compartmentb)) | (~admin_indi_has_credit_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~admin_indi_has_employment(admin, alice)) | (~system_indi_needs_compartment(system, alice, compartmentb))) <=> ((~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))) | (~admin_indi_has_compartments(admin, alice, cons(compartmenta, nil))) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~system_indi_needs_compartment(system, alice, compartmentb)) | (~admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_credit_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_level_for_compartment(admin, alice, compartmentb)) | (~sso_indi_has_compartment(sso_compartmentb, alice, compartmentb)) | (~admin_indi_has_background_for_compartment(admin, alice, compartmentb)))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(663,plain,
% 0.60/0.78 (((~![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))) | (admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | (~admin_indi_has_compartments(admin, alice, cons(compartmenta, nil))) | (~admin_indi_has_level_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_background_for_compartment(admin, alice, compartmentb)) | (~sso_indi_has_compartment(sso_compartmentb, alice, compartmentb)) | (~admin_indi_has_credit_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~admin_indi_has_employment(admin, alice)) | (~system_indi_needs_compartment(system, alice, compartmentb)))) <=> ((~![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))) | ((~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))) | (~admin_indi_has_compartments(admin, alice, cons(compartmenta, nil))) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~system_indi_needs_compartment(system, alice, compartmentb)) | (~admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_credit_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_level_for_compartment(admin, alice, compartmentb)) | (~sso_indi_has_compartment(sso_compartmentb, alice, compartmentb)) | (~admin_indi_has_background_for_compartment(admin, alice, compartmentb))))),
% 0.60/0.78 inference(monotonicity,[status(thm)],[662])).
% 0.60/0.78 tff(664,plain,
% 0.60/0.78 (((~![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))) | (admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | (~admin_indi_has_compartments(admin, alice, cons(compartmenta, nil))) | (~admin_indi_has_level_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_background_for_compartment(admin, alice, compartmentb)) | (~sso_indi_has_compartment(sso_compartmentb, alice, compartmentb)) | (~admin_indi_has_credit_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~admin_indi_has_employment(admin, alice)) | (~system_indi_needs_compartment(system, alice, compartmentb)))) <=> ((~![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))) | (~admin_indi_has_compartments(admin, alice, cons(compartmenta, nil))) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~system_indi_needs_compartment(system, alice, compartmentb)) | (~admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_credit_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_level_for_compartment(admin, alice, compartmentb)) | (~sso_indi_has_compartment(sso_compartmentb, alice, compartmentb)) | (~admin_indi_has_background_for_compartment(admin, alice, compartmentb)))),
% 0.60/0.78 inference(transitivity,[status(thm)],[663, 661])).
% 0.60/0.78 tff(665,plain,
% 0.60/0.78 ((~![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))) | (admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | (~admin_indi_has_compartments(admin, alice, cons(compartmenta, nil))) | (~admin_indi_has_level_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_background_for_compartment(admin, alice, compartmentb)) | (~sso_indi_has_compartment(sso_compartmentb, alice, compartmentb)) | (~admin_indi_has_credit_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~admin_indi_has_employment(admin, alice)) | (~system_indi_needs_compartment(system, alice, compartmentb)))),
% 0.60/0.78 inference(quant_inst,[status(thm)],[])).
% 0.60/0.78 tff(666,plain,
% 0.60/0.78 ((~![K: $i, C: $i, CL: $i, SSO: $i] : (admin_indi_has_compartments(admin, K, cons(C, CL)) | (~admin_compartment_has_sso(admin, C, SSO)) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_indi_has_level_for_compartment(admin, K, C)) | (~admin_indi_has_background_for_compartment(admin, K, C)) | (~sso_indi_has_compartment(SSO, K, C)) | (~admin_indi_has_credit_for_compartment(admin, K, C)) | (~admin_indi_has_polygraph_for_compartment(admin, K, C)) | (~admin_indi_has_citizenship(admin, K, usa)) | (~admin_indi_has_employment(admin, K)) | (~system_indi_needs_compartment(system, K, C)))) | (~admin_compartment_has_sso(admin, compartmentb, sso_compartmentb)) | admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))) | (~admin_indi_has_compartments(admin, alice, cons(compartmenta, nil))) | (~admin_indi_has_employment(admin, alice)) | (~admin_indi_has_citizenship(admin, alice, usa)) | (~system_indi_needs_compartment(system, alice, compartmentb)) | (~admin_indi_has_polygraph_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_credit_for_compartment(admin, alice, compartmentb)) | (~admin_indi_has_level_for_compartment(admin, alice, compartmentb)) | (~sso_indi_has_compartment(sso_compartmentb, alice, compartmentb)) | (~admin_indi_has_background_for_compartment(admin, alice, compartmentb))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[665, 664])).
% 0.60/0.78 tff(667,plain,
% 0.60/0.78 ($false),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[666, 624, 660, 657, 84, 291, 271, 654, 632, 465, 446, 429, 428])).
% 0.60/0.78 tff(668,plain,(admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil)))), inference(lemma,lemma(discharge,[]))).
% 0.60/0.78 tff(669,plain,
% 0.60/0.78 (^[K: $i, F: $i, CL: $i] : refl((admin_indi_has_compartments_for_file(admin, K, F) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_file_has_compartments(admin, F, CL))) <=> (admin_indi_has_compartments_for_file(admin, K, F) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_file_has_compartments(admin, F, CL))))),
% 0.60/0.78 inference(bind,[status(th)],[])).
% 0.60/0.78 tff(670,plain,
% 0.60/0.78 (![K: $i, F: $i, CL: $i] : (admin_indi_has_compartments_for_file(admin, K, F) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_file_has_compartments(admin, F, CL))) <=> ![K: $i, F: $i, CL: $i] : (admin_indi_has_compartments_for_file(admin, K, F) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_file_has_compartments(admin, F, CL)))),
% 0.60/0.79 inference(quant_intro,[status(thm)],[669])).
% 0.60/0.79 tff(671,plain,
% 0.60/0.79 (![K: $i, F: $i, CL: $i] : (admin_indi_has_compartments_for_file(admin, K, F) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_file_has_compartments(admin, F, CL))) <=> ![K: $i, F: $i, CL: $i] : (admin_indi_has_compartments_for_file(admin, K, F) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_file_has_compartments(admin, F, CL)))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(672,plain,
% 0.60/0.79 (^[K: $i, F: $i, CL: $i] : trans(monotonicity(rewrite((admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments_for_file(admin, K, F)) <=> ((~admin_indi_has_compartments(admin, K, CL)) | admin_indi_has_compartments_for_file(admin, K, F))), ((admin_file_has_compartments(admin, F, CL) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments_for_file(admin, K, F))) <=> (admin_file_has_compartments(admin, F, CL) => ((~admin_indi_has_compartments(admin, K, CL)) | admin_indi_has_compartments_for_file(admin, K, F))))), rewrite((admin_file_has_compartments(admin, F, CL) => ((~admin_indi_has_compartments(admin, K, CL)) | admin_indi_has_compartments_for_file(admin, K, F))) <=> (admin_indi_has_compartments_for_file(admin, K, F) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_file_has_compartments(admin, F, CL)))), ((admin_file_has_compartments(admin, F, CL) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments_for_file(admin, K, F))) <=> (admin_indi_has_compartments_for_file(admin, K, F) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_file_has_compartments(admin, F, CL)))))),
% 0.60/0.79 inference(bind,[status(th)],[])).
% 0.60/0.79 tff(673,plain,
% 0.60/0.79 (![K: $i, F: $i, CL: $i] : (admin_file_has_compartments(admin, F, CL) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments_for_file(admin, K, F))) <=> ![K: $i, F: $i, CL: $i] : (admin_indi_has_compartments_for_file(admin, K, F) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_file_has_compartments(admin, F, CL)))),
% 0.60/0.79 inference(quant_intro,[status(thm)],[672])).
% 0.60/0.79 tff(674,axiom,(![K: $i, F: $i, CL: $i] : (admin_file_has_compartments(admin, F, CL) => (admin_indi_has_compartments(admin, K, CL) => admin_indi_has_compartments_for_file(admin, K, F)))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax34')).
% 0.60/0.79 tff(675,plain,
% 0.60/0.79 (![K: $i, F: $i, CL: $i] : (admin_indi_has_compartments_for_file(admin, K, F) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_file_has_compartments(admin, F, CL)))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[674, 673])).
% 0.60/0.79 tff(676,plain,
% 0.60/0.79 (![K: $i, F: $i, CL: $i] : (admin_indi_has_compartments_for_file(admin, K, F) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_file_has_compartments(admin, F, CL)))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[675, 671])).
% 0.60/0.79 tff(677,plain,(
% 0.60/0.79 ![K: $i, F: $i, CL: $i] : (admin_indi_has_compartments_for_file(admin, K, F) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_file_has_compartments(admin, F, CL)))),
% 0.60/0.79 inference(skolemize,[status(sab)],[676])).
% 0.60/0.79 tff(678,plain,
% 0.60/0.79 (![K: $i, F: $i, CL: $i] : (admin_indi_has_compartments_for_file(admin, K, F) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_file_has_compartments(admin, F, CL)))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[677, 670])).
% 0.60/0.79 tff(679,plain,
% 0.60/0.79 (((~![K: $i, F: $i, CL: $i] : (admin_indi_has_compartments_for_file(admin, K, F) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_file_has_compartments(admin, F, CL)))) | (admin_indi_has_compartments_for_file(admin, alice, secretfile) | (~admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil)))) | (~admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)))))) <=> ((~![K: $i, F: $i, CL: $i] : (admin_indi_has_compartments_for_file(admin, K, F) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_file_has_compartments(admin, F, CL)))) | admin_indi_has_compartments_for_file(admin, alice, secretfile) | (~admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil)))) | (~admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)))))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(680,plain,
% 0.60/0.79 ((~![K: $i, F: $i, CL: $i] : (admin_indi_has_compartments_for_file(admin, K, F) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_file_has_compartments(admin, F, CL)))) | (admin_indi_has_compartments_for_file(admin, alice, secretfile) | (~admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil)))) | (~admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil)))))),
% 0.60/0.79 inference(quant_inst,[status(thm)],[])).
% 0.60/0.79 tff(681,plain,
% 0.60/0.79 ((~![K: $i, F: $i, CL: $i] : (admin_indi_has_compartments_for_file(admin, K, F) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_file_has_compartments(admin, F, CL)))) | admin_indi_has_compartments_for_file(admin, alice, secretfile) | (~admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil)))) | (~admin_file_has_compartments(admin, secretfile, cons(compartmentb, cons(compartmenta, nil))))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[680, 679])).
% 0.60/0.79 tff(682,plain,
% 0.60/0.79 (admin_indi_has_compartments_for_file(admin, alice, secretfile) | (~admin_indi_has_compartments(admin, alice, cons(compartmentb, cons(compartmenta, nil))))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[681, 678, 168])).
% 0.60/0.79 tff(683,plain,
% 0.60/0.79 (admin_indi_has_compartments_for_file(admin, alice, secretfile)),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[682, 668])).
% 0.60/0.79 tff(684,plain,
% 0.60/0.79 (^[K: $i, F: $i] : refl(((~admin_indi_has_citizenship(admin, K, usa)) | admin_indi_has_citizenship_for_file(admin, K, F)) <=> ((~admin_indi_has_citizenship(admin, K, usa)) | admin_indi_has_citizenship_for_file(admin, K, F)))),
% 0.60/0.79 inference(bind,[status(th)],[])).
% 0.60/0.79 tff(685,plain,
% 0.60/0.79 (![K: $i, F: $i] : ((~admin_indi_has_citizenship(admin, K, usa)) | admin_indi_has_citizenship_for_file(admin, K, F)) <=> ![K: $i, F: $i] : ((~admin_indi_has_citizenship(admin, K, usa)) | admin_indi_has_citizenship_for_file(admin, K, F))),
% 0.60/0.79 inference(quant_intro,[status(thm)],[684])).
% 0.60/0.79 tff(686,plain,
% 0.60/0.79 (![K: $i, F: $i] : ((~admin_indi_has_citizenship(admin, K, usa)) | admin_indi_has_citizenship_for_file(admin, K, F)) <=> ![K: $i, F: $i] : ((~admin_indi_has_citizenship(admin, K, usa)) | admin_indi_has_citizenship_for_file(admin, K, F))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(687,plain,
% 0.60/0.79 (^[K: $i, F: $i] : rewrite((admin_indi_has_citizenship(admin, K, usa) => admin_indi_has_citizenship_for_file(admin, K, F)) <=> ((~admin_indi_has_citizenship(admin, K, usa)) | admin_indi_has_citizenship_for_file(admin, K, F)))),
% 0.60/0.79 inference(bind,[status(th)],[])).
% 0.60/0.79 tff(688,plain,
% 0.60/0.79 (![K: $i, F: $i] : (admin_indi_has_citizenship(admin, K, usa) => admin_indi_has_citizenship_for_file(admin, K, F)) <=> ![K: $i, F: $i] : ((~admin_indi_has_citizenship(admin, K, usa)) | admin_indi_has_citizenship_for_file(admin, K, F))),
% 0.60/0.79 inference(quant_intro,[status(thm)],[687])).
% 0.60/0.79 tff(689,axiom,(![K: $i, F: $i] : (admin_indi_has_citizenship(admin, K, usa) => admin_indi_has_citizenship_for_file(admin, K, F))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax38')).
% 0.60/0.79 tff(690,plain,
% 0.60/0.79 (![K: $i, F: $i] : ((~admin_indi_has_citizenship(admin, K, usa)) | admin_indi_has_citizenship_for_file(admin, K, F))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[689, 688])).
% 0.60/0.79 tff(691,plain,
% 0.60/0.79 (![K: $i, F: $i] : ((~admin_indi_has_citizenship(admin, K, usa)) | admin_indi_has_citizenship_for_file(admin, K, F))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[690, 686])).
% 0.60/0.79 tff(692,plain,(
% 0.60/0.79 ![K: $i, F: $i] : ((~admin_indi_has_citizenship(admin, K, usa)) | admin_indi_has_citizenship_for_file(admin, K, F))),
% 0.60/0.79 inference(skolemize,[status(sab)],[691])).
% 0.60/0.79 tff(693,plain,
% 0.60/0.79 (![K: $i, F: $i] : ((~admin_indi_has_citizenship(admin, K, usa)) | admin_indi_has_citizenship_for_file(admin, K, F))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[692, 685])).
% 0.60/0.79 tff(694,plain,
% 0.60/0.79 (((~![K: $i, F: $i] : ((~admin_indi_has_citizenship(admin, K, usa)) | admin_indi_has_citizenship_for_file(admin, K, F))) | ((~admin_indi_has_citizenship(admin, alice, usa)) | admin_indi_has_citizenship_for_file(admin, alice, secretfile))) <=> ((~![K: $i, F: $i] : ((~admin_indi_has_citizenship(admin, K, usa)) | admin_indi_has_citizenship_for_file(admin, K, F))) | (~admin_indi_has_citizenship(admin, alice, usa)) | admin_indi_has_citizenship_for_file(admin, alice, secretfile))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(695,plain,
% 0.60/0.79 ((~![K: $i, F: $i] : ((~admin_indi_has_citizenship(admin, K, usa)) | admin_indi_has_citizenship_for_file(admin, K, F))) | ((~admin_indi_has_citizenship(admin, alice, usa)) | admin_indi_has_citizenship_for_file(admin, alice, secretfile))),
% 0.60/0.79 inference(quant_inst,[status(thm)],[])).
% 0.60/0.79 tff(696,plain,
% 0.60/0.79 ((~![K: $i, F: $i] : ((~admin_indi_has_citizenship(admin, K, usa)) | admin_indi_has_citizenship_for_file(admin, K, F))) | (~admin_indi_has_citizenship(admin, alice, usa)) | admin_indi_has_citizenship_for_file(admin, alice, secretfile)),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[695, 694])).
% 0.60/0.79 tff(697,plain,
% 0.60/0.79 (admin_indi_has_citizenship_for_file(admin, alice, secretfile)),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[696, 693, 271])).
% 0.60/0.79 tff(698,plain,
% 0.60/0.79 (owner_indi_has_need_to_know(owner_secretfile, alice, secretfile) <=> owner_indi_has_need_to_know(owner_secretfile, alice, secretfile)),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(699,axiom,(owner_indi_has_need_to_know(owner_secretfile, alice, secretfile)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax82')).
% 0.60/0.79 tff(700,plain,
% 0.60/0.79 (owner_indi_has_need_to_know(owner_secretfile, alice, secretfile)),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[699, 698])).
% 0.60/0.79 tff(701,plain,
% 0.60/0.79 (state_file_has_owner(secretfile, owner_secretfile) <=> state_file_has_owner(secretfile, owner_secretfile)),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(702,axiom,(state_file_has_owner(secretfile, owner_secretfile)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax60')).
% 0.60/0.79 tff(703,plain,
% 0.60/0.79 (state_file_has_owner(secretfile, owner_secretfile)),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[702, 701])).
% 0.60/0.79 tff(704,plain,
% 0.60/0.79 (^[K: $i, F: $i, OWR: $i] : refl((admin_indi_has_need_to_know_for_file(admin, K, F) | (~owner_indi_has_need_to_know(OWR, K, F)) | (~state_file_has_owner(F, OWR))) <=> (admin_indi_has_need_to_know_for_file(admin, K, F) | (~owner_indi_has_need_to_know(OWR, K, F)) | (~state_file_has_owner(F, OWR))))),
% 0.60/0.79 inference(bind,[status(th)],[])).
% 0.60/0.79 tff(705,plain,
% 0.60/0.79 (![K: $i, F: $i, OWR: $i] : (admin_indi_has_need_to_know_for_file(admin, K, F) | (~owner_indi_has_need_to_know(OWR, K, F)) | (~state_file_has_owner(F, OWR))) <=> ![K: $i, F: $i, OWR: $i] : (admin_indi_has_need_to_know_for_file(admin, K, F) | (~owner_indi_has_need_to_know(OWR, K, F)) | (~state_file_has_owner(F, OWR)))),
% 0.60/0.79 inference(quant_intro,[status(thm)],[704])).
% 0.60/0.79 tff(706,plain,
% 0.60/0.79 (![K: $i, F: $i, OWR: $i] : (admin_indi_has_need_to_know_for_file(admin, K, F) | (~owner_indi_has_need_to_know(OWR, K, F)) | (~state_file_has_owner(F, OWR))) <=> ![K: $i, F: $i, OWR: $i] : (admin_indi_has_need_to_know_for_file(admin, K, F) | (~owner_indi_has_need_to_know(OWR, K, F)) | (~state_file_has_owner(F, OWR)))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(707,plain,
% 0.60/0.79 (^[K: $i, F: $i, OWR: $i] : trans(monotonicity(rewrite((owner_indi_has_need_to_know(OWR, K, F) => admin_indi_has_need_to_know_for_file(admin, K, F)) <=> ((~owner_indi_has_need_to_know(OWR, K, F)) | admin_indi_has_need_to_know_for_file(admin, K, F))), ((state_file_has_owner(F, OWR) => (owner_indi_has_need_to_know(OWR, K, F) => admin_indi_has_need_to_know_for_file(admin, K, F))) <=> (state_file_has_owner(F, OWR) => ((~owner_indi_has_need_to_know(OWR, K, F)) | admin_indi_has_need_to_know_for_file(admin, K, F))))), rewrite((state_file_has_owner(F, OWR) => ((~owner_indi_has_need_to_know(OWR, K, F)) | admin_indi_has_need_to_know_for_file(admin, K, F))) <=> (admin_indi_has_need_to_know_for_file(admin, K, F) | (~owner_indi_has_need_to_know(OWR, K, F)) | (~state_file_has_owner(F, OWR)))), ((state_file_has_owner(F, OWR) => (owner_indi_has_need_to_know(OWR, K, F) => admin_indi_has_need_to_know_for_file(admin, K, F))) <=> (admin_indi_has_need_to_know_for_file(admin, K, F) | (~owner_indi_has_need_to_know(OWR, K, F)) | (~state_file_has_owner(F, OWR)))))),
% 0.60/0.79 inference(bind,[status(th)],[])).
% 0.60/0.79 tff(708,plain,
% 0.60/0.79 (![K: $i, F: $i, OWR: $i] : (state_file_has_owner(F, OWR) => (owner_indi_has_need_to_know(OWR, K, F) => admin_indi_has_need_to_know_for_file(admin, K, F))) <=> ![K: $i, F: $i, OWR: $i] : (admin_indi_has_need_to_know_for_file(admin, K, F) | (~owner_indi_has_need_to_know(OWR, K, F)) | (~state_file_has_owner(F, OWR)))),
% 0.60/0.79 inference(quant_intro,[status(thm)],[707])).
% 0.60/0.79 tff(709,axiom,(![K: $i, F: $i, OWR: $i] : (state_file_has_owner(F, OWR) => (owner_indi_has_need_to_know(OWR, K, F) => admin_indi_has_need_to_know_for_file(admin, K, F)))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax36')).
% 0.60/0.79 tff(710,plain,
% 0.60/0.79 (![K: $i, F: $i, OWR: $i] : (admin_indi_has_need_to_know_for_file(admin, K, F) | (~owner_indi_has_need_to_know(OWR, K, F)) | (~state_file_has_owner(F, OWR)))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[709, 708])).
% 0.60/0.79 tff(711,plain,
% 0.60/0.79 (![K: $i, F: $i, OWR: $i] : (admin_indi_has_need_to_know_for_file(admin, K, F) | (~owner_indi_has_need_to_know(OWR, K, F)) | (~state_file_has_owner(F, OWR)))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[710, 706])).
% 0.60/0.79 tff(712,plain,(
% 0.60/0.79 ![K: $i, F: $i, OWR: $i] : (admin_indi_has_need_to_know_for_file(admin, K, F) | (~owner_indi_has_need_to_know(OWR, K, F)) | (~state_file_has_owner(F, OWR)))),
% 0.60/0.79 inference(skolemize,[status(sab)],[711])).
% 0.60/0.79 tff(713,plain,
% 0.60/0.79 (![K: $i, F: $i, OWR: $i] : (admin_indi_has_need_to_know_for_file(admin, K, F) | (~owner_indi_has_need_to_know(OWR, K, F)) | (~state_file_has_owner(F, OWR)))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[712, 705])).
% 0.60/0.79 tff(714,plain,
% 0.60/0.79 (((~![K: $i, F: $i, OWR: $i] : (admin_indi_has_need_to_know_for_file(admin, K, F) | (~owner_indi_has_need_to_know(OWR, K, F)) | (~state_file_has_owner(F, OWR)))) | (admin_indi_has_need_to_know_for_file(admin, alice, secretfile) | (~owner_indi_has_need_to_know(owner_secretfile, alice, secretfile)) | (~state_file_has_owner(secretfile, owner_secretfile)))) <=> ((~![K: $i, F: $i, OWR: $i] : (admin_indi_has_need_to_know_for_file(admin, K, F) | (~owner_indi_has_need_to_know(OWR, K, F)) | (~state_file_has_owner(F, OWR)))) | admin_indi_has_need_to_know_for_file(admin, alice, secretfile) | (~owner_indi_has_need_to_know(owner_secretfile, alice, secretfile)) | (~state_file_has_owner(secretfile, owner_secretfile)))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(715,plain,
% 0.60/0.79 ((~![K: $i, F: $i, OWR: $i] : (admin_indi_has_need_to_know_for_file(admin, K, F) | (~owner_indi_has_need_to_know(OWR, K, F)) | (~state_file_has_owner(F, OWR)))) | (admin_indi_has_need_to_know_for_file(admin, alice, secretfile) | (~owner_indi_has_need_to_know(owner_secretfile, alice, secretfile)) | (~state_file_has_owner(secretfile, owner_secretfile)))),
% 0.60/0.79 inference(quant_inst,[status(thm)],[])).
% 0.60/0.79 tff(716,plain,
% 0.60/0.79 ((~![K: $i, F: $i, OWR: $i] : (admin_indi_has_need_to_know_for_file(admin, K, F) | (~owner_indi_has_need_to_know(OWR, K, F)) | (~state_file_has_owner(F, OWR)))) | admin_indi_has_need_to_know_for_file(admin, alice, secretfile) | (~owner_indi_has_need_to_know(owner_secretfile, alice, secretfile)) | (~state_file_has_owner(secretfile, owner_secretfile))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[715, 714])).
% 0.60/0.79 tff(717,plain,
% 0.60/0.79 (admin_indi_has_need_to_know_for_file(admin, alice, secretfile)),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[716, 713, 703, 700])).
% 0.60/0.79 tff(718,plain,
% 0.60/0.79 ((~admin_indi_may_file(admin, alice, secretfile, read)) <=> (~admin_indi_may_file(admin, alice, secretfile, read))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(719,axiom,(~admin_indi_may_file(admin, alice, secretfile, read)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','alicereadsecret')).
% 0.60/0.79 tff(720,plain,
% 0.60/0.79 (~admin_indi_may_file(admin, alice, secretfile, read)),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[719, 718])).
% 0.60/0.79 tff(721,plain,
% 0.60/0.79 (state_file_is_not_working_paper(secretfile) <=> state_file_is_not_working_paper(secretfile)),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(722,axiom,(state_file_is_not_working_paper(secretfile)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax50')).
% 0.60/0.79 tff(723,plain,
% 0.60/0.79 (state_file_is_not_working_paper(secretfile)),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[722, 721])).
% 0.60/0.79 tff(724,plain,
% 0.60/0.79 (^[K: $i, F: $i] : refl((admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)) | (~admin_indi_has_citizenship_for_file(admin, K, F)) | (~state_file_is_not_working_paper(F))) <=> (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)) | (~admin_indi_has_citizenship_for_file(admin, K, F)) | (~state_file_is_not_working_paper(F))))),
% 0.60/0.79 inference(bind,[status(th)],[])).
% 0.60/0.79 tff(725,plain,
% 0.60/0.79 (![K: $i, F: $i] : (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)) | (~admin_indi_has_citizenship_for_file(admin, K, F)) | (~state_file_is_not_working_paper(F))) <=> ![K: $i, F: $i] : (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)) | (~admin_indi_has_citizenship_for_file(admin, K, F)) | (~state_file_is_not_working_paper(F)))),
% 0.60/0.79 inference(quant_intro,[status(thm)],[724])).
% 0.60/0.79 tff(726,plain,
% 0.60/0.79 (![K: $i, F: $i] : (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)) | (~admin_indi_has_citizenship_for_file(admin, K, F)) | (~state_file_is_not_working_paper(F))) <=> ![K: $i, F: $i] : (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)) | (~admin_indi_has_citizenship_for_file(admin, K, F)) | (~state_file_is_not_working_paper(F)))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(727,plain,
% 0.60/0.79 (^[K: $i, F: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((admin_indi_has_compartments_for_file(admin, K, F) => admin_indi_may_file(admin, K, F, read)) <=> ((~admin_indi_has_compartments_for_file(admin, K, F)) | admin_indi_may_file(admin, K, F, read))), ((admin_indi_has_level_for_file(admin, K, F) => (admin_indi_has_compartments_for_file(admin, K, F) => admin_indi_may_file(admin, K, F, read))) <=> (admin_indi_has_level_for_file(admin, K, F) => ((~admin_indi_has_compartments_for_file(admin, K, F)) | admin_indi_may_file(admin, K, F, read))))), rewrite((admin_indi_has_level_for_file(admin, K, F) => ((~admin_indi_has_compartments_for_file(admin, K, F)) | admin_indi_may_file(admin, K, F, read))) <=> (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)))), ((admin_indi_has_level_for_file(admin, K, F) => (admin_indi_has_compartments_for_file(admin, K, F) => admin_indi_may_file(admin, K, F, read))) <=> (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F))))), ((admin_indi_has_need_to_know_for_file(admin, K, F) => (admin_indi_has_level_for_file(admin, K, F) => (admin_indi_has_compartments_for_file(admin, K, F) => admin_indi_may_file(admin, K, F, read)))) <=> (admin_indi_has_need_to_know_for_file(admin, K, F) => (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)))))), rewrite((admin_indi_has_need_to_know_for_file(admin, K, F) => (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)))) <=> (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)))), ((admin_indi_has_need_to_know_for_file(admin, K, F) => (admin_indi_has_level_for_file(admin, K, F) => (admin_indi_has_compartments_for_file(admin, K, F) => admin_indi_may_file(admin, K, F, read)))) <=> (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F))))), ((admin_indi_has_citizenship_for_file(admin, K, F) => (admin_indi_has_need_to_know_for_file(admin, K, F) => (admin_indi_has_level_for_file(admin, K, F) => (admin_indi_has_compartments_for_file(admin, K, F) => admin_indi_may_file(admin, K, F, read))))) <=> (admin_indi_has_citizenship_for_file(admin, K, F) => (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)))))), rewrite((admin_indi_has_citizenship_for_file(admin, K, F) => (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)))) <=> (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)) | (~admin_indi_has_citizenship_for_file(admin, K, F)))), ((admin_indi_has_citizenship_for_file(admin, K, F) => (admin_indi_has_need_to_know_for_file(admin, K, F) => (admin_indi_has_level_for_file(admin, K, F) => (admin_indi_has_compartments_for_file(admin, K, F) => admin_indi_may_file(admin, K, F, read))))) <=> (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)) | (~admin_indi_has_citizenship_for_file(admin, K, F))))), ((state_file_is_not_working_paper(F) => (admin_indi_has_citizenship_for_file(admin, K, F) => (admin_indi_has_need_to_know_for_file(admin, K, F) => (admin_indi_has_level_for_file(admin, K, F) => (admin_indi_has_compartments_for_file(admin, K, F) => admin_indi_may_file(admin, K, F, read)))))) <=> (state_file_is_not_working_paper(F) => (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)) | (~admin_indi_has_citizenship_for_file(admin, K, F)))))), rewrite((state_file_is_not_working_paper(F) => (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)) | (~admin_indi_has_citizenship_for_file(admin, K, F)))) <=> (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)) | (~admin_indi_has_citizenship_for_file(admin, K, F)) | (~state_file_is_not_working_paper(F)))), ((state_file_is_not_working_paper(F) => (admin_indi_has_citizenship_for_file(admin, K, F) => (admin_indi_has_need_to_know_for_file(admin, K, F) => (admin_indi_has_level_for_file(admin, K, F) => (admin_indi_has_compartments_for_file(admin, K, F) => admin_indi_may_file(admin, K, F, read)))))) <=> (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)) | (~admin_indi_has_citizenship_for_file(admin, K, F)) | (~state_file_is_not_working_paper(F)))))),
% 0.60/0.79 inference(bind,[status(th)],[])).
% 0.60/0.79 tff(728,plain,
% 0.60/0.79 (![K: $i, F: $i] : (state_file_is_not_working_paper(F) => (admin_indi_has_citizenship_for_file(admin, K, F) => (admin_indi_has_need_to_know_for_file(admin, K, F) => (admin_indi_has_level_for_file(admin, K, F) => (admin_indi_has_compartments_for_file(admin, K, F) => admin_indi_may_file(admin, K, F, read)))))) <=> ![K: $i, F: $i] : (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)) | (~admin_indi_has_citizenship_for_file(admin, K, F)) | (~state_file_is_not_working_paper(F)))),
% 0.60/0.79 inference(quant_intro,[status(thm)],[727])).
% 0.60/0.79 tff(729,axiom,(![K: $i, F: $i] : (state_file_is_not_working_paper(F) => (admin_indi_has_citizenship_for_file(admin, K, F) => (admin_indi_has_need_to_know_for_file(admin, K, F) => (admin_indi_has_level_for_file(admin, K, F) => (admin_indi_has_compartments_for_file(admin, K, F) => admin_indi_may_file(admin, K, F, read))))))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax39')).
% 0.60/0.79 tff(730,plain,
% 0.60/0.79 (![K: $i, F: $i] : (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)) | (~admin_indi_has_citizenship_for_file(admin, K, F)) | (~state_file_is_not_working_paper(F)))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[729, 728])).
% 0.60/0.79 tff(731,plain,
% 0.60/0.79 (![K: $i, F: $i] : (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)) | (~admin_indi_has_citizenship_for_file(admin, K, F)) | (~state_file_is_not_working_paper(F)))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[730, 726])).
% 0.60/0.79 tff(732,plain,(
% 0.60/0.79 ![K: $i, F: $i] : (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)) | (~admin_indi_has_citizenship_for_file(admin, K, F)) | (~state_file_is_not_working_paper(F)))),
% 0.60/0.79 inference(skolemize,[status(sab)],[731])).
% 0.60/0.79 tff(733,plain,
% 0.60/0.79 (![K: $i, F: $i] : (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)) | (~admin_indi_has_citizenship_for_file(admin, K, F)) | (~state_file_is_not_working_paper(F)))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[732, 725])).
% 0.60/0.79 tff(734,plain,
% 0.60/0.79 (((~![K: $i, F: $i] : (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)) | (~admin_indi_has_citizenship_for_file(admin, K, F)) | (~state_file_is_not_working_paper(F)))) | (admin_indi_may_file(admin, alice, secretfile, read) | (~admin_indi_has_compartments_for_file(admin, alice, secretfile)) | (~admin_indi_has_level_for_file(admin, alice, secretfile)) | (~admin_indi_has_need_to_know_for_file(admin, alice, secretfile)) | (~admin_indi_has_citizenship_for_file(admin, alice, secretfile)) | (~state_file_is_not_working_paper(secretfile)))) <=> ((~![K: $i, F: $i] : (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)) | (~admin_indi_has_citizenship_for_file(admin, K, F)) | (~state_file_is_not_working_paper(F)))) | admin_indi_may_file(admin, alice, secretfile, read) | (~admin_indi_has_compartments_for_file(admin, alice, secretfile)) | (~admin_indi_has_level_for_file(admin, alice, secretfile)) | (~admin_indi_has_need_to_know_for_file(admin, alice, secretfile)) | (~admin_indi_has_citizenship_for_file(admin, alice, secretfile)) | (~state_file_is_not_working_paper(secretfile)))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(735,plain,
% 0.60/0.79 ((~![K: $i, F: $i] : (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)) | (~admin_indi_has_citizenship_for_file(admin, K, F)) | (~state_file_is_not_working_paper(F)))) | (admin_indi_may_file(admin, alice, secretfile, read) | (~admin_indi_has_compartments_for_file(admin, alice, secretfile)) | (~admin_indi_has_level_for_file(admin, alice, secretfile)) | (~admin_indi_has_need_to_know_for_file(admin, alice, secretfile)) | (~admin_indi_has_citizenship_for_file(admin, alice, secretfile)) | (~state_file_is_not_working_paper(secretfile)))),
% 0.60/0.79 inference(quant_inst,[status(thm)],[])).
% 0.60/0.79 tff(736,plain,
% 0.60/0.79 ((~![K: $i, F: $i] : (admin_indi_may_file(admin, K, F, read) | (~admin_indi_has_compartments_for_file(admin, K, F)) | (~admin_indi_has_level_for_file(admin, K, F)) | (~admin_indi_has_need_to_know_for_file(admin, K, F)) | (~admin_indi_has_citizenship_for_file(admin, K, F)) | (~state_file_is_not_working_paper(F)))) | admin_indi_may_file(admin, alice, secretfile, read) | (~admin_indi_has_compartments_for_file(admin, alice, secretfile)) | (~admin_indi_has_level_for_file(admin, alice, secretfile)) | (~admin_indi_has_need_to_know_for_file(admin, alice, secretfile)) | (~admin_indi_has_citizenship_for_file(admin, alice, secretfile)) | (~state_file_is_not_working_paper(secretfile))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[735, 734])).
% 0.60/0.79 tff(737,plain,
% 0.60/0.79 ((~admin_indi_has_compartments_for_file(admin, alice, secretfile)) | (~admin_indi_has_level_for_file(admin, alice, secretfile)) | (~admin_indi_has_citizenship_for_file(admin, alice, secretfile))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[736, 733, 723, 720, 717])).
% 0.60/0.79 tff(738,plain,
% 0.60/0.79 ((~admin_indi_has_compartments_for_file(admin, alice, secretfile)) | (~admin_indi_has_level_for_file(admin, alice, secretfile))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[737, 697])).
% 0.60/0.79 tff(739,plain,
% 0.60/0.79 (~admin_indi_has_level_for_file(admin, alice, secretfile)),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[738, 683])).
% 0.60/0.79 tff(740,plain,
% 0.60/0.79 (^[K: $i, F: $i, L: $i] : refl((admin_indi_has_level_for_file(admin, K, F) | (~admin_indi_has_level(admin, K, L)) | (~admin_file_has_level(admin, F, L))) <=> (admin_indi_has_level_for_file(admin, K, F) | (~admin_indi_has_level(admin, K, L)) | (~admin_file_has_level(admin, F, L))))),
% 0.60/0.79 inference(bind,[status(th)],[])).
% 0.60/0.79 tff(741,plain,
% 0.60/0.79 (![K: $i, F: $i, L: $i] : (admin_indi_has_level_for_file(admin, K, F) | (~admin_indi_has_level(admin, K, L)) | (~admin_file_has_level(admin, F, L))) <=> ![K: $i, F: $i, L: $i] : (admin_indi_has_level_for_file(admin, K, F) | (~admin_indi_has_level(admin, K, L)) | (~admin_file_has_level(admin, F, L)))),
% 0.60/0.79 inference(quant_intro,[status(thm)],[740])).
% 0.60/0.79 tff(742,plain,
% 0.60/0.79 (![K: $i, F: $i, L: $i] : (admin_indi_has_level_for_file(admin, K, F) | (~admin_indi_has_level(admin, K, L)) | (~admin_file_has_level(admin, F, L))) <=> ![K: $i, F: $i, L: $i] : (admin_indi_has_level_for_file(admin, K, F) | (~admin_indi_has_level(admin, K, L)) | (~admin_file_has_level(admin, F, L)))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(743,plain,
% 0.60/0.79 (^[K: $i, F: $i, L: $i] : trans(monotonicity(rewrite((admin_indi_has_level(admin, K, L) => admin_indi_has_level_for_file(admin, K, F)) <=> ((~admin_indi_has_level(admin, K, L)) | admin_indi_has_level_for_file(admin, K, F))), ((admin_file_has_level(admin, F, L) => (admin_indi_has_level(admin, K, L) => admin_indi_has_level_for_file(admin, K, F))) <=> (admin_file_has_level(admin, F, L) => ((~admin_indi_has_level(admin, K, L)) | admin_indi_has_level_for_file(admin, K, F))))), rewrite((admin_file_has_level(admin, F, L) => ((~admin_indi_has_level(admin, K, L)) | admin_indi_has_level_for_file(admin, K, F))) <=> (admin_indi_has_level_for_file(admin, K, F) | (~admin_indi_has_level(admin, K, L)) | (~admin_file_has_level(admin, F, L)))), ((admin_file_has_level(admin, F, L) => (admin_indi_has_level(admin, K, L) => admin_indi_has_level_for_file(admin, K, F))) <=> (admin_indi_has_level_for_file(admin, K, F) | (~admin_indi_has_level(admin, K, L)) | (~admin_file_has_level(admin, F, L)))))),
% 0.60/0.79 inference(bind,[status(th)],[])).
% 0.60/0.79 tff(744,plain,
% 0.60/0.79 (![K: $i, F: $i, L: $i] : (admin_file_has_level(admin, F, L) => (admin_indi_has_level(admin, K, L) => admin_indi_has_level_for_file(admin, K, F))) <=> ![K: $i, F: $i, L: $i] : (admin_indi_has_level_for_file(admin, K, F) | (~admin_indi_has_level(admin, K, L)) | (~admin_file_has_level(admin, F, L)))),
% 0.60/0.79 inference(quant_intro,[status(thm)],[743])).
% 0.60/0.79 tff(745,axiom,(![K: $i, F: $i, L: $i] : (admin_file_has_level(admin, F, L) => (admin_indi_has_level(admin, K, L) => admin_indi_has_level_for_file(admin, K, F)))), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax35')).
% 0.60/0.79 tff(746,plain,
% 0.60/0.79 (![K: $i, F: $i, L: $i] : (admin_indi_has_level_for_file(admin, K, F) | (~admin_indi_has_level(admin, K, L)) | (~admin_file_has_level(admin, F, L)))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[745, 744])).
% 0.60/0.80 tff(747,plain,
% 0.60/0.80 (![K: $i, F: $i, L: $i] : (admin_indi_has_level_for_file(admin, K, F) | (~admin_indi_has_level(admin, K, L)) | (~admin_file_has_level(admin, F, L)))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[746, 742])).
% 0.60/0.80 tff(748,plain,(
% 0.60/0.80 ![K: $i, F: $i, L: $i] : (admin_indi_has_level_for_file(admin, K, F) | (~admin_indi_has_level(admin, K, L)) | (~admin_file_has_level(admin, F, L)))),
% 0.60/0.80 inference(skolemize,[status(sab)],[747])).
% 0.60/0.80 tff(749,plain,
% 0.60/0.80 (![K: $i, F: $i, L: $i] : (admin_indi_has_level_for_file(admin, K, F) | (~admin_indi_has_level(admin, K, L)) | (~admin_file_has_level(admin, F, L)))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[748, 741])).
% 0.60/0.80 tff(750,plain,
% 0.60/0.80 (((~![K: $i, F: $i, L: $i] : (admin_indi_has_level_for_file(admin, K, F) | (~admin_indi_has_level(admin, K, L)) | (~admin_file_has_level(admin, F, L)))) | (admin_indi_has_level_for_file(admin, alice, secretfile) | (~admin_indi_has_level(admin, alice, secret)) | (~admin_file_has_level(admin, secretfile, secret)))) <=> ((~![K: $i, F: $i, L: $i] : (admin_indi_has_level_for_file(admin, K, F) | (~admin_indi_has_level(admin, K, L)) | (~admin_file_has_level(admin, F, L)))) | admin_indi_has_level_for_file(admin, alice, secretfile) | (~admin_indi_has_level(admin, alice, secret)) | (~admin_file_has_level(admin, secretfile, secret)))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(751,plain,
% 0.60/0.80 ((~![K: $i, F: $i, L: $i] : (admin_indi_has_level_for_file(admin, K, F) | (~admin_indi_has_level(admin, K, L)) | (~admin_file_has_level(admin, F, L)))) | (admin_indi_has_level_for_file(admin, alice, secretfile) | (~admin_indi_has_level(admin, alice, secret)) | (~admin_file_has_level(admin, secretfile, secret)))),
% 0.60/0.80 inference(quant_inst,[status(thm)],[])).
% 0.60/0.80 tff(752,plain,
% 0.60/0.80 ((~![K: $i, F: $i, L: $i] : (admin_indi_has_level_for_file(admin, K, F) | (~admin_indi_has_level(admin, K, L)) | (~admin_file_has_level(admin, F, L)))) | admin_indi_has_level_for_file(admin, alice, secretfile) | (~admin_indi_has_level(admin, alice, secret)) | (~admin_file_has_level(admin, secretfile, secret))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[751, 750])).
% 0.60/0.80 tff(753,plain,
% 0.60/0.80 ($false),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[752, 749, 739, 357, 189])).
% 0.60/0.80 % SZS output end Proof
% 0.60/0.80 % E exiting
%------------------------------------------------------------------------------