%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV438+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n010.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 05:34:04 AM UTC 2025
% Result : Theorem 0.46s 0.65s
% Output : Proof 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV438+1 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 20 09:53:12 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.46/0.65 % SZS status Theorem
% 0.46/0.65 % SZS output start Proof
% 0.46/0.65 tff(admin_file_has_level_h_type, type, (
% 0.46/0.65 admin_file_has_level_h: ( $i * $i * $i * $i ) > $o)).
% 0.46/0.65 tff(nil_type, type, (
% 0.46/0.65 nil: $i)).
% 0.46/0.65 tff(unclassified_type, type, (
% 0.46/0.65 unclassified: $i)).
% 0.46/0.65 tff(not_secretfile_type, type, (
% 0.46/0.65 not_secretfile: $i)).
% 0.46/0.65 tff(admin_type, type, (
% 0.46/0.65 admin: $i)).
% 0.46/0.65 tff(admin_file_has_level_type, type, (
% 0.46/0.65 admin_file_has_level: ( $i * $i * $i ) > $o)).
% 0.46/0.65 tff(admin_indi_has_level_type, type, (
% 0.46/0.65 admin_indi_has_level: ( $i * $i * $i ) > $o)).
% 0.46/0.65 tff(babu_type, type, (
% 0.46/0.65 babu: $i)).
% 0.46/0.65 tff(admin_indi_has_level_for_file_type, type, (
% 0.46/0.65 admin_indi_has_level_for_file: ( $i * $i * $i ) > $o)).
% 0.46/0.65 tff(admin_indi_has_citizenship_for_file_type, type, (
% 0.46/0.65 admin_indi_has_citizenship_for_file: ( $i * $i * $i ) > $o)).
% 0.46/0.65 tff(admin_indi_has_citizenship_type, type, (
% 0.46/0.65 admin_indi_has_citizenship: ( $i * $i * $i ) > $o)).
% 0.46/0.65 tff(anycountry_type, type, (
% 0.46/0.65 anycountry: $i)).
% 0.46/0.65 tff(admin_file_has_citizenship_type, type, (
% 0.46/0.65 admin_file_has_citizenship: ( $i * $i * $i ) > $o)).
% 0.46/0.65 tff(admin_file_has_citizenship_h_type, type, (
% 0.46/0.65 admin_file_has_citizenship_h: ( $i * $i * $i * $i ) > $o)).
% 0.46/0.65 tff(admin_file_has_compartments_type, type, (
% 0.46/0.65 admin_file_has_compartments: ( $i * $i * $i ) > $o)).
% 0.46/0.65 tff(admin_file_has_compartments_h_type, type, (
% 0.46/0.65 admin_file_has_compartments_h: ( $i * $i * $i * $i ) > $o)).
% 0.46/0.65 tff(system_file_needs_compartments_type, type, (
% 0.46/0.65 system_file_needs_compartments: ( $i * $i * $i ) > $o)).
% 0.46/0.65 tff(system_type, type, (
% 0.46/0.65 system: $i)).
% 0.46/0.65 tff(system_file_needs_citizenship_type, type, (
% 0.46/0.65 system_file_needs_citizenship: ( $i * $i * $i ) > $o)).
% 0.46/0.65 tff(admin_indi_has_compartments_for_file_type, type, (
% 0.46/0.65 admin_indi_has_compartments_for_file: ( $i * $i * $i ) > $o)).
% 0.46/0.65 tff(admin_indi_has_compartments_type, type, (
% 0.46/0.65 admin_indi_has_compartments: ( $i * $i * $i ) > $o)).
% 0.46/0.65 tff(admin_indi_has_need_to_know_for_file_type, type, (
% 0.46/0.65 admin_indi_has_need_to_know_for_file: ( $i * $i * $i ) > $o)).
% 0.46/0.65 tff(owner_indi_has_need_to_know_type, type, (
% 0.46/0.65 owner_indi_has_need_to_know: ( $i * $i * $i ) > $o)).
% 0.46/0.65 tff(owner_not_secretfile_type, type, (
% 0.46/0.65 owner_not_secretfile: $i)).
% 0.46/0.65 tff(state_file_has_owner_type, type, (
% 0.46/0.65 state_file_has_owner: ( $i * $i ) > $o)).
% 0.46/0.65 tff(admin_indi_may_file_type, type, (
% 0.46/0.65 admin_indi_may_file: ( $i * $i * $i * $i ) > $o)).
% 0.46/0.65 tff(read_type, type, (
% 0.46/0.65 read: $i)).
% 0.46/0.65 tff(state_file_is_not_working_paper_type, type, (
% 0.46/0.65 state_file_is_not_working_paper: $i > $o)).
% 0.46/0.65 tff(system_file_needs_level_type, type, (
% 0.46/0.65 system_file_needs_level: ( $i * $i * $i ) > $o)).
% 0.46/0.65 tff(1,plain,
% 0.46/0.65 (^[K: $i] : refl(admin_indi_has_level(admin, K, unclassified) <=> admin_indi_has_level(admin, K, unclassified))),
% 0.46/0.65 inference(bind,[status(th)],[])).
% 0.46/0.65 tff(2,plain,
% 0.46/0.65 (![K: $i] : admin_indi_has_level(admin, K, unclassified) <=> ![K: $i] : admin_indi_has_level(admin, K, unclassified)),
% 0.46/0.65 inference(quant_intro,[status(thm)],[1])).
% 0.46/0.65 tff(3,plain,
% 0.46/0.65 (![K: $i] : admin_indi_has_level(admin, K, unclassified) <=> ![K: $i] : admin_indi_has_level(admin, K, unclassified)),
% 0.46/0.65 inference(rewrite,[status(thm)],[])).
% 0.46/0.65 tff(4,axiom,(![K: $i] : admin_indi_has_level(admin, K, unclassified)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV009+0.ax','ax24')).
% 0.46/0.65 tff(5,plain,
% 0.46/0.65 (![K: $i] : admin_indi_has_level(admin, K, unclassified)),
% 0.46/0.65 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.46/0.65 tff(6,plain,(
% 0.46/0.65 ![K: $i] : admin_indi_has_level(admin, K, unclassified)),
% 0.46/0.65 inference(skolemize,[status(sab)],[5])).
% 0.46/0.65 tff(7,plain,
% 0.46/0.65 (![K: $i] : admin_indi_has_level(admin, K, unclassified)),
% 0.46/0.65 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.46/0.65 tff(8,plain,
% 0.46/0.65 ((~![K: $i] : admin_indi_has_level(admin, K, unclassified)) | admin_indi_has_level(admin, babu, unclassified)),
% 0.46/0.65 inference(quant_inst,[status(thm)],[])).
% 0.46/0.65 tff(9,plain,
% 0.46/0.65 (admin_indi_has_level(admin, babu, unclassified)),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.46/0.65 tff(10,assumption,(~admin_indi_has_citizenship(admin, babu, anycountry)), introduced(assumption)).
% 0.46/0.65 tff(11,plain,
% 0.46/0.65 (^[K: $i] : refl(admin_indi_has_citizenship(admin, K, anycountry) <=> admin_indi_has_citizenship(admin, K, anycountry))),
% 0.46/0.65 inference(bind,[status(th)],[])).
% 0.46/0.65 tff(12,plain,
% 0.46/0.65 (![K: $i] : admin_indi_has_citizenship(admin, K, anycountry) <=> ![K: $i] : admin_indi_has_citizenship(admin, K, anycountry)),
% 0.46/0.65 inference(quant_intro,[status(thm)],[11])).
% 0.46/0.65 tff(13,plain,
% 0.46/0.65 (![K: $i] : admin_indi_has_citizenship(admin, K, anycountry) <=> ![K: $i] : admin_indi_has_citizenship(admin, K, anycountry)),
% 0.46/0.65 inference(rewrite,[status(thm)],[])).
% 0.46/0.65 tff(14,axiom,(![K: $i] : admin_indi_has_citizenship(admin, K, anycountry)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV009+0.ax','ax22')).
% 0.46/0.65 tff(15,plain,
% 0.46/0.65 (![K: $i] : admin_indi_has_citizenship(admin, K, anycountry)),
% 0.46/0.65 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.46/0.65 tff(16,plain,(
% 0.46/0.65 ![K: $i] : admin_indi_has_citizenship(admin, K, anycountry)),
% 0.46/0.65 inference(skolemize,[status(sab)],[15])).
% 0.46/0.65 tff(17,plain,
% 0.46/0.65 (![K: $i] : admin_indi_has_citizenship(admin, K, anycountry)),
% 0.46/0.65 inference(modus_ponens,[status(thm)],[16, 12])).
% 0.46/0.65 tff(18,plain,
% 0.46/0.65 ((~![K: $i] : admin_indi_has_citizenship(admin, K, anycountry)) | admin_indi_has_citizenship(admin, babu, anycountry)),
% 0.46/0.65 inference(quant_inst,[status(thm)],[])).
% 0.46/0.65 tff(19,plain,
% 0.46/0.65 ($false),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[18, 17, 10])).
% 0.46/0.65 tff(20,plain,(admin_indi_has_citizenship(admin, babu, anycountry)), inference(lemma,lemma(discharge,[]))).
% 0.46/0.65 tff(21,assumption,(~admin_file_has_citizenship_h(admin, not_secretfile, anycountry, nil)), introduced(assumption)).
% 0.46/0.65 tff(22,plain,
% 0.46/0.65 (^[F: $i, U: $i] : refl(admin_file_has_citizenship_h(admin, F, U, nil) <=> admin_file_has_citizenship_h(admin, F, U, nil))),
% 0.46/0.65 inference(bind,[status(th)],[])).
% 0.46/0.65 tff(23,plain,
% 0.46/0.65 (![F: $i, U: $i] : admin_file_has_citizenship_h(admin, F, U, nil) <=> ![F: $i, U: $i] : admin_file_has_citizenship_h(admin, F, U, nil)),
% 0.46/0.65 inference(quant_intro,[status(thm)],[22])).
% 0.46/0.65 tff(24,plain,
% 0.46/0.65 (![F: $i, U: $i] : admin_file_has_citizenship_h(admin, F, U, nil) <=> ![F: $i, U: $i] : admin_file_has_citizenship_h(admin, F, U, nil)),
% 0.46/0.65 inference(rewrite,[status(thm)],[])).
% 0.46/0.65 tff(25,axiom,(![F: $i, U: $i] : admin_file_has_citizenship_h(admin, F, U, nil)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV009+0.ax','ax15')).
% 0.46/0.65 tff(26,plain,
% 0.46/0.65 (![F: $i, U: $i] : admin_file_has_citizenship_h(admin, F, U, nil)),
% 0.46/0.65 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.46/0.65 tff(27,plain,(
% 0.46/0.65 ![F: $i, U: $i] : admin_file_has_citizenship_h(admin, F, U, nil)),
% 0.46/0.65 inference(skolemize,[status(sab)],[26])).
% 0.46/0.65 tff(28,plain,
% 0.46/0.65 (![F: $i, U: $i] : admin_file_has_citizenship_h(admin, F, U, nil)),
% 0.46/0.65 inference(modus_ponens,[status(thm)],[27, 23])).
% 0.46/0.65 tff(29,plain,
% 0.46/0.65 ((~![F: $i, U: $i] : admin_file_has_citizenship_h(admin, F, U, nil)) | admin_file_has_citizenship_h(admin, not_secretfile, anycountry, nil)),
% 0.46/0.65 inference(quant_inst,[status(thm)],[])).
% 0.46/0.65 tff(30,plain,
% 0.46/0.65 ($false),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[29, 28, 21])).
% 0.46/0.65 tff(31,plain,(admin_file_has_citizenship_h(admin, not_secretfile, anycountry, nil)), inference(lemma,lemma(discharge,[]))).
% 0.46/0.65 tff(32,assumption,(~admin_file_has_compartments_h(admin, not_secretfile, nil, nil)), introduced(assumption)).
% 0.46/0.65 tff(33,plain,
% 0.46/0.65 (^[F: $i, CL: $i] : refl(admin_file_has_compartments_h(admin, F, CL, nil) <=> admin_file_has_compartments_h(admin, F, CL, nil))),
% 0.46/0.65 inference(bind,[status(th)],[])).
% 0.46/0.65 tff(34,plain,
% 0.46/0.65 (![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)),
% 0.46/0.65 inference(quant_intro,[status(thm)],[33])).
% 0.46/0.65 tff(35,plain,
% 0.46/0.65 (![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)),
% 0.46/0.65 inference(rewrite,[status(thm)],[])).
% 0.46/0.65 tff(36,axiom,(![F: $i, CL: $i] : admin_file_has_compartments_h(admin, F, CL, nil)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV009+0.ax','ax9')).
% 0.46/0.65 tff(37,plain,
% 0.46/0.65 (![F: $i, CL: $i] : admin_file_has_compartments_h(admin, F, CL, nil)),
% 0.46/0.65 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.46/0.65 tff(38,plain,(
% 0.46/0.65 ![F: $i, CL: $i] : admin_file_has_compartments_h(admin, F, CL, nil)),
% 0.46/0.65 inference(skolemize,[status(sab)],[37])).
% 0.46/0.65 tff(39,plain,
% 0.46/0.65 (![F: $i, CL: $i] : admin_file_has_compartments_h(admin, F, CL, nil)),
% 0.46/0.65 inference(modus_ponens,[status(thm)],[38, 34])).
% 0.46/0.65 tff(40,plain,
% 0.46/0.65 ((~![F: $i, CL: $i] : admin_file_has_compartments_h(admin, F, CL, nil)) | admin_file_has_compartments_h(admin, not_secretfile, nil, nil)),
% 0.46/0.65 inference(quant_inst,[status(thm)],[])).
% 0.46/0.65 tff(41,plain,
% 0.46/0.65 ($false),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[40, 39, 32])).
% 0.46/0.65 tff(42,plain,(admin_file_has_compartments_h(admin, not_secretfile, nil, nil)), inference(lemma,lemma(discharge,[]))).
% 0.46/0.65 tff(43,plain,
% 0.46/0.65 (system_file_needs_compartments(system, not_secretfile, nil) <=> system_file_needs_compartments(system, not_secretfile, nil)),
% 0.46/0.65 inference(rewrite,[status(thm)],[])).
% 0.46/0.65 tff(44,axiom,(system_file_needs_compartments(system, not_secretfile, nil)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax62')).
% 0.46/0.65 tff(45,plain,
% 0.46/0.65 (system_file_needs_compartments(system, not_secretfile, nil)),
% 0.46/0.65 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.46/0.65 tff(46,plain,
% 0.46/0.65 (^[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))))),
% 0.46/0.65 inference(bind,[status(th)],[])).
% 0.46/0.65 tff(47,plain,
% 0.46/0.65 (![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)))),
% 0.46/0.65 inference(quant_intro,[status(thm)],[46])).
% 0.46/0.65 tff(48,plain,
% 0.46/0.65 (![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)))),
% 0.46/0.65 inference(rewrite,[status(thm)],[])).
% 0.46/0.65 tff(49,plain,
% 0.46/0.65 (^[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)))))),
% 0.46/0.65 inference(bind,[status(th)],[])).
% 0.46/0.65 tff(50,plain,
% 0.46/0.65 (![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)))),
% 0.46/0.65 inference(quant_intro,[status(thm)],[49])).
% 0.46/0.65 tff(51,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/sandbox2/benchmark/Axioms/SWV009+0.ax','ax8')).
% 0.46/0.65 tff(52,plain,
% 0.46/0.65 (![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)))),
% 0.46/0.65 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.46/0.65 tff(53,plain,
% 0.46/0.65 (![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)))),
% 0.46/0.65 inference(modus_ponens,[status(thm)],[52, 48])).
% 0.46/0.65 tff(54,plain,(
% 0.46/0.65 ![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)))),
% 0.46/0.65 inference(skolemize,[status(sab)],[53])).
% 0.46/0.65 tff(55,plain,
% 0.46/0.65 (![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)))),
% 0.46/0.65 inference(modus_ponens,[status(thm)],[54, 47])).
% 0.46/0.65 tff(56,plain,
% 0.46/0.65 (((~![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, not_secretfile, nil) | (~admin_file_has_compartments_h(admin, not_secretfile, nil, nil)) | (~system_file_needs_compartments(system, not_secretfile, 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, not_secretfile, nil) | (~admin_file_has_compartments_h(admin, not_secretfile, nil, nil)) | (~system_file_needs_compartments(system, not_secretfile, nil)))),
% 0.46/0.65 inference(rewrite,[status(thm)],[])).
% 0.46/0.65 tff(57,plain,
% 0.46/0.65 ((~![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, not_secretfile, nil) | (~admin_file_has_compartments_h(admin, not_secretfile, nil, nil)) | (~system_file_needs_compartments(system, not_secretfile, nil)))),
% 0.46/0.65 inference(quant_inst,[status(thm)],[])).
% 0.46/0.65 tff(58,plain,
% 0.46/0.65 ((~![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, not_secretfile, nil) | (~admin_file_has_compartments_h(admin, not_secretfile, nil, nil)) | (~system_file_needs_compartments(system, not_secretfile, nil))),
% 0.46/0.65 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.46/0.65 tff(59,plain,
% 0.46/0.65 (admin_file_has_compartments(admin, not_secretfile, nil) | (~admin_file_has_compartments_h(admin, not_secretfile, nil, nil))),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[58, 55, 45])).
% 0.46/0.65 tff(60,plain,
% 0.46/0.65 (admin_file_has_compartments(admin, not_secretfile, nil)),
% 0.46/0.65 inference(unit_resolution,[status(thm)],[59, 42])).
% 0.46/0.65 tff(61,plain,
% 0.46/0.65 (system_file_needs_citizenship(system, not_secretfile, anycountry) <=> system_file_needs_citizenship(system, not_secretfile, anycountry)),
% 0.46/0.65 inference(rewrite,[status(thm)],[])).
% 0.46/0.65 tff(62,axiom,(system_file_needs_citizenship(system, not_secretfile, anycountry)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax64')).
% 0.46/0.65 tff(63,plain,
% 0.46/0.65 (system_file_needs_citizenship(system, not_secretfile, anycountry)),
% 0.46/0.65 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.46/0.65 tff(64,plain,
% 0.46/0.65 (^[F: $i, U: $i, CL: $i] : refl((admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)) | (~system_file_needs_citizenship(system, F, U))) <=> (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)) | (~system_file_needs_citizenship(system, F, U))))),
% 0.46/0.65 inference(bind,[status(th)],[])).
% 0.46/0.65 tff(65,plain,
% 0.46/0.65 (![F: $i, U: $i, CL: $i] : (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)) | (~system_file_needs_citizenship(system, F, U))) <=> ![F: $i, U: $i, CL: $i] : (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)) | (~system_file_needs_citizenship(system, F, U)))),
% 0.46/0.65 inference(quant_intro,[status(thm)],[64])).
% 0.46/0.65 tff(66,plain,
% 0.46/0.65 (![F: $i, U: $i, CL: $i] : (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)) | (~system_file_needs_citizenship(system, F, U))) <=> ![F: $i, U: $i, CL: $i] : (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)) | (~system_file_needs_citizenship(system, F, U)))),
% 0.46/0.65 inference(rewrite,[status(thm)],[])).
% 0.46/0.65 tff(67,plain,
% 0.46/0.65 (^[F: $i, U: $i, CL: $i] : trans(monotonicity(trans(monotonicity(rewrite((admin_file_has_citizenship_h(admin, F, U, CL) => admin_file_has_citizenship(admin, F, U)) <=> ((~admin_file_has_citizenship_h(admin, F, U, CL)) | admin_file_has_citizenship(admin, F, U))), ((admin_file_has_compartments(admin, F, CL) => (admin_file_has_citizenship_h(admin, F, U, CL) => admin_file_has_citizenship(admin, F, U))) <=> (admin_file_has_compartments(admin, F, CL) => ((~admin_file_has_citizenship_h(admin, F, U, CL)) | admin_file_has_citizenship(admin, F, U))))), rewrite((admin_file_has_compartments(admin, F, CL) => ((~admin_file_has_citizenship_h(admin, F, U, CL)) | admin_file_has_citizenship(admin, F, U))) <=> (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)))), ((admin_file_has_compartments(admin, F, CL) => (admin_file_has_citizenship_h(admin, F, U, CL) => admin_file_has_citizenship(admin, F, U))) <=> (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL))))), ((system_file_needs_citizenship(system, F, U) => (admin_file_has_compartments(admin, F, CL) => (admin_file_has_citizenship_h(admin, F, U, CL) => admin_file_has_citizenship(admin, F, U)))) <=> (system_file_needs_citizenship(system, F, U) => (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)))))), rewrite((system_file_needs_citizenship(system, F, U) => (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)))) <=> (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)) | (~system_file_needs_citizenship(system, F, U)))), ((system_file_needs_citizenship(system, F, U) => (admin_file_has_compartments(admin, F, CL) => (admin_file_has_citizenship_h(admin, F, U, CL) => admin_file_has_citizenship(admin, F, U)))) <=> (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)) | (~system_file_needs_citizenship(system, F, U)))))),
% 0.46/0.65 inference(bind,[status(th)],[])).
% 0.46/0.65 tff(68,plain,
% 0.46/0.65 (![F: $i, U: $i, CL: $i] : (system_file_needs_citizenship(system, F, U) => (admin_file_has_compartments(admin, F, CL) => (admin_file_has_citizenship_h(admin, F, U, CL) => admin_file_has_citizenship(admin, F, U)))) <=> ![F: $i, U: $i, CL: $i] : (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)) | (~system_file_needs_citizenship(system, F, U)))),
% 0.46/0.65 inference(quant_intro,[status(thm)],[67])).
% 0.46/0.65 tff(69,axiom,(![F: $i, U: $i, CL: $i] : (system_file_needs_citizenship(system, F, U) => (admin_file_has_compartments(admin, F, CL) => (admin_file_has_citizenship_h(admin, F, U, CL) => admin_file_has_citizenship(admin, F, U))))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV009+0.ax','ax14')).
% 0.46/0.65 tff(70,plain,
% 0.46/0.65 (![F: $i, U: $i, CL: $i] : (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)) | (~system_file_needs_citizenship(system, F, U)))),
% 0.46/0.65 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.46/0.65 tff(71,plain,
% 0.46/0.65 (![F: $i, U: $i, CL: $i] : (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)) | (~system_file_needs_citizenship(system, F, U)))),
% 0.46/0.65 inference(modus_ponens,[status(thm)],[70, 66])).
% 0.46/0.65 tff(72,plain,(
% 0.46/0.65 ![F: $i, U: $i, CL: $i] : (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)) | (~system_file_needs_citizenship(system, F, U)))),
% 0.46/0.65 inference(skolemize,[status(sab)],[71])).
% 0.46/0.65 tff(73,plain,
% 0.46/0.65 (![F: $i, U: $i, CL: $i] : (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)) | (~system_file_needs_citizenship(system, F, U)))),
% 0.46/0.65 inference(modus_ponens,[status(thm)],[72, 65])).
% 0.46/0.65 tff(74,plain,
% 0.46/0.65 (((~![F: $i, U: $i, CL: $i] : (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)) | (~system_file_needs_citizenship(system, F, U)))) | ((~admin_file_has_compartments(admin, not_secretfile, nil)) | admin_file_has_citizenship(admin, not_secretfile, anycountry) | (~admin_file_has_citizenship_h(admin, not_secretfile, anycountry, nil)) | (~system_file_needs_citizenship(system, not_secretfile, anycountry)))) <=> ((~![F: $i, U: $i, CL: $i] : (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)) | (~system_file_needs_citizenship(system, F, U)))) | (~admin_file_has_compartments(admin, not_secretfile, nil)) | admin_file_has_citizenship(admin, not_secretfile, anycountry) | (~admin_file_has_citizenship_h(admin, not_secretfile, anycountry, nil)) | (~system_file_needs_citizenship(system, not_secretfile, anycountry)))),
% 0.46/0.65 inference(rewrite,[status(thm)],[])).
% 0.46/0.65 tff(75,plain,
% 0.46/0.65 ((admin_file_has_citizenship(admin, not_secretfile, anycountry) | (~admin_file_has_compartments(admin, not_secretfile, nil)) | (~admin_file_has_citizenship_h(admin, not_secretfile, anycountry, nil)) | (~system_file_needs_citizenship(system, not_secretfile, anycountry))) <=> ((~admin_file_has_compartments(admin, not_secretfile, nil)) | admin_file_has_citizenship(admin, not_secretfile, anycountry) | (~admin_file_has_citizenship_h(admin, not_secretfile, anycountry, nil)) | (~system_file_needs_citizenship(system, not_secretfile, anycountry)))),
% 0.46/0.65 inference(rewrite,[status(thm)],[])).
% 0.46/0.65 tff(76,plain,
% 0.46/0.65 (((~![F: $i, U: $i, CL: $i] : (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)) | (~system_file_needs_citizenship(system, F, U)))) | (admin_file_has_citizenship(admin, not_secretfile, anycountry) | (~admin_file_has_compartments(admin, not_secretfile, nil)) | (~admin_file_has_citizenship_h(admin, not_secretfile, anycountry, nil)) | (~system_file_needs_citizenship(system, not_secretfile, anycountry)))) <=> ((~![F: $i, U: $i, CL: $i] : (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)) | (~system_file_needs_citizenship(system, F, U)))) | ((~admin_file_has_compartments(admin, not_secretfile, nil)) | admin_file_has_citizenship(admin, not_secretfile, anycountry) | (~admin_file_has_citizenship_h(admin, not_secretfile, anycountry, nil)) | (~system_file_needs_citizenship(system, not_secretfile, anycountry))))),
% 0.46/0.65 inference(monotonicity,[status(thm)],[75])).
% 0.46/0.65 tff(77,plain,
% 0.46/0.65 (((~![F: $i, U: $i, CL: $i] : (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)) | (~system_file_needs_citizenship(system, F, U)))) | (admin_file_has_citizenship(admin, not_secretfile, anycountry) | (~admin_file_has_compartments(admin, not_secretfile, nil)) | (~admin_file_has_citizenship_h(admin, not_secretfile, anycountry, nil)) | (~system_file_needs_citizenship(system, not_secretfile, anycountry)))) <=> ((~![F: $i, U: $i, CL: $i] : (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)) | (~system_file_needs_citizenship(system, F, U)))) | (~admin_file_has_compartments(admin, not_secretfile, nil)) | admin_file_has_citizenship(admin, not_secretfile, anycountry) | (~admin_file_has_citizenship_h(admin, not_secretfile, anycountry, nil)) | (~system_file_needs_citizenship(system, not_secretfile, anycountry)))),
% 0.46/0.66 inference(transitivity,[status(thm)],[76, 74])).
% 0.46/0.66 tff(78,plain,
% 0.46/0.66 ((~![F: $i, U: $i, CL: $i] : (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)) | (~system_file_needs_citizenship(system, F, U)))) | (admin_file_has_citizenship(admin, not_secretfile, anycountry) | (~admin_file_has_compartments(admin, not_secretfile, nil)) | (~admin_file_has_citizenship_h(admin, not_secretfile, anycountry, nil)) | (~system_file_needs_citizenship(system, not_secretfile, anycountry)))),
% 0.46/0.66 inference(quant_inst,[status(thm)],[])).
% 0.46/0.66 tff(79,plain,
% 0.46/0.66 ((~![F: $i, U: $i, CL: $i] : (admin_file_has_citizenship(admin, F, U) | (~admin_file_has_compartments(admin, F, CL)) | (~admin_file_has_citizenship_h(admin, F, U, CL)) | (~system_file_needs_citizenship(system, F, U)))) | (~admin_file_has_compartments(admin, not_secretfile, nil)) | admin_file_has_citizenship(admin, not_secretfile, anycountry) | (~admin_file_has_citizenship_h(admin, not_secretfile, anycountry, nil)) | (~system_file_needs_citizenship(system, not_secretfile, anycountry))),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.46/0.66 tff(80,plain,
% 0.46/0.66 (admin_file_has_citizenship(admin, not_secretfile, anycountry) | (~admin_file_has_citizenship_h(admin, not_secretfile, anycountry, nil))),
% 0.46/0.66 inference(unit_resolution,[status(thm)],[79, 73, 63, 60])).
% 0.46/0.66 tff(81,plain,
% 0.46/0.66 (admin_file_has_citizenship(admin, not_secretfile, anycountry)),
% 0.46/0.66 inference(unit_resolution,[status(thm)],[80, 31])).
% 0.46/0.66 tff(82,plain,
% 0.46/0.66 (^[K: $i, F: $i, L: $i] : refl((admin_indi_has_citizenship_for_file(admin, K, F) | (~admin_indi_has_citizenship(admin, K, L)) | (~admin_file_has_citizenship(admin, F, L))) <=> (admin_indi_has_citizenship_for_file(admin, K, F) | (~admin_indi_has_citizenship(admin, K, L)) | (~admin_file_has_citizenship(admin, F, L))))),
% 0.46/0.66 inference(bind,[status(th)],[])).
% 0.46/0.66 tff(83,plain,
% 0.46/0.66 (![K: $i, F: $i, L: $i] : (admin_indi_has_citizenship_for_file(admin, K, F) | (~admin_indi_has_citizenship(admin, K, L)) | (~admin_file_has_citizenship(admin, F, L))) <=> ![K: $i, F: $i, L: $i] : (admin_indi_has_citizenship_for_file(admin, K, F) | (~admin_indi_has_citizenship(admin, K, L)) | (~admin_file_has_citizenship(admin, F, L)))),
% 0.46/0.66 inference(quant_intro,[status(thm)],[82])).
% 0.46/0.66 tff(84,plain,
% 0.46/0.66 (![K: $i, F: $i, L: $i] : (admin_indi_has_citizenship_for_file(admin, K, F) | (~admin_indi_has_citizenship(admin, K, L)) | (~admin_file_has_citizenship(admin, F, L))) <=> ![K: $i, F: $i, L: $i] : (admin_indi_has_citizenship_for_file(admin, K, F) | (~admin_indi_has_citizenship(admin, K, L)) | (~admin_file_has_citizenship(admin, F, L)))),
% 0.46/0.66 inference(rewrite,[status(thm)],[])).
% 0.46/0.66 tff(85,plain,
% 0.46/0.66 (^[K: $i, F: $i, L: $i] : trans(monotonicity(rewrite((admin_indi_has_citizenship(admin, K, L) => admin_indi_has_citizenship_for_file(admin, K, F)) <=> ((~admin_indi_has_citizenship(admin, K, L)) | admin_indi_has_citizenship_for_file(admin, K, F))), ((admin_file_has_citizenship(admin, F, L) => (admin_indi_has_citizenship(admin, K, L) => admin_indi_has_citizenship_for_file(admin, K, F))) <=> (admin_file_has_citizenship(admin, F, L) => ((~admin_indi_has_citizenship(admin, K, L)) | admin_indi_has_citizenship_for_file(admin, K, F))))), rewrite((admin_file_has_citizenship(admin, F, L) => ((~admin_indi_has_citizenship(admin, K, L)) | admin_indi_has_citizenship_for_file(admin, K, F))) <=> (admin_indi_has_citizenship_for_file(admin, K, F) | (~admin_indi_has_citizenship(admin, K, L)) | (~admin_file_has_citizenship(admin, F, L)))), ((admin_file_has_citizenship(admin, F, L) => (admin_indi_has_citizenship(admin, K, L) => admin_indi_has_citizenship_for_file(admin, K, F))) <=> (admin_indi_has_citizenship_for_file(admin, K, F) | (~admin_indi_has_citizenship(admin, K, L)) | (~admin_file_has_citizenship(admin, F, L)))))),
% 0.46/0.66 inference(bind,[status(th)],[])).
% 0.46/0.66 tff(86,plain,
% 0.46/0.66 (![K: $i, F: $i, L: $i] : (admin_file_has_citizenship(admin, F, L) => (admin_indi_has_citizenship(admin, K, L) => admin_indi_has_citizenship_for_file(admin, K, F))) <=> ![K: $i, F: $i, L: $i] : (admin_indi_has_citizenship_for_file(admin, K, F) | (~admin_indi_has_citizenship(admin, K, L)) | (~admin_file_has_citizenship(admin, F, L)))),
% 0.46/0.66 inference(quant_intro,[status(thm)],[85])).
% 0.46/0.66 tff(87,axiom,(![K: $i, F: $i, L: $i] : (admin_file_has_citizenship(admin, F, L) => (admin_indi_has_citizenship(admin, K, L) => admin_indi_has_citizenship_for_file(admin, K, F)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV009+0.ax','ax37')).
% 0.46/0.66 tff(88,plain,
% 0.46/0.66 (![K: $i, F: $i, L: $i] : (admin_indi_has_citizenship_for_file(admin, K, F) | (~admin_indi_has_citizenship(admin, K, L)) | (~admin_file_has_citizenship(admin, F, L)))),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[87, 86])).
% 0.46/0.66 tff(89,plain,
% 0.46/0.66 (![K: $i, F: $i, L: $i] : (admin_indi_has_citizenship_for_file(admin, K, F) | (~admin_indi_has_citizenship(admin, K, L)) | (~admin_file_has_citizenship(admin, F, L)))),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[88, 84])).
% 0.46/0.66 tff(90,plain,(
% 0.46/0.66 ![K: $i, F: $i, L: $i] : (admin_indi_has_citizenship_for_file(admin, K, F) | (~admin_indi_has_citizenship(admin, K, L)) | (~admin_file_has_citizenship(admin, F, L)))),
% 0.46/0.66 inference(skolemize,[status(sab)],[89])).
% 0.46/0.66 tff(91,plain,
% 0.46/0.66 (![K: $i, F: $i, L: $i] : (admin_indi_has_citizenship_for_file(admin, K, F) | (~admin_indi_has_citizenship(admin, K, L)) | (~admin_file_has_citizenship(admin, F, L)))),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[90, 83])).
% 0.46/0.66 tff(92,plain,
% 0.46/0.66 (((~![K: $i, F: $i, L: $i] : (admin_indi_has_citizenship_for_file(admin, K, F) | (~admin_indi_has_citizenship(admin, K, L)) | (~admin_file_has_citizenship(admin, F, L)))) | (admin_indi_has_citizenship_for_file(admin, babu, not_secretfile) | (~admin_file_has_citizenship(admin, not_secretfile, anycountry)) | (~admin_indi_has_citizenship(admin, babu, anycountry)))) <=> ((~![K: $i, F: $i, L: $i] : (admin_indi_has_citizenship_for_file(admin, K, F) | (~admin_indi_has_citizenship(admin, K, L)) | (~admin_file_has_citizenship(admin, F, L)))) | admin_indi_has_citizenship_for_file(admin, babu, not_secretfile) | (~admin_file_has_citizenship(admin, not_secretfile, anycountry)) | (~admin_indi_has_citizenship(admin, babu, anycountry)))),
% 0.46/0.66 inference(rewrite,[status(thm)],[])).
% 0.46/0.66 tff(93,plain,
% 0.46/0.66 ((admin_indi_has_citizenship_for_file(admin, babu, not_secretfile) | (~admin_indi_has_citizenship(admin, babu, anycountry)) | (~admin_file_has_citizenship(admin, not_secretfile, anycountry))) <=> (admin_indi_has_citizenship_for_file(admin, babu, not_secretfile) | (~admin_file_has_citizenship(admin, not_secretfile, anycountry)) | (~admin_indi_has_citizenship(admin, babu, anycountry)))),
% 0.46/0.66 inference(rewrite,[status(thm)],[])).
% 0.46/0.66 tff(94,plain,
% 0.46/0.66 (((~![K: $i, F: $i, L: $i] : (admin_indi_has_citizenship_for_file(admin, K, F) | (~admin_indi_has_citizenship(admin, K, L)) | (~admin_file_has_citizenship(admin, F, L)))) | (admin_indi_has_citizenship_for_file(admin, babu, not_secretfile) | (~admin_indi_has_citizenship(admin, babu, anycountry)) | (~admin_file_has_citizenship(admin, not_secretfile, anycountry)))) <=> ((~![K: $i, F: $i, L: $i] : (admin_indi_has_citizenship_for_file(admin, K, F) | (~admin_indi_has_citizenship(admin, K, L)) | (~admin_file_has_citizenship(admin, F, L)))) | (admin_indi_has_citizenship_for_file(admin, babu, not_secretfile) | (~admin_file_has_citizenship(admin, not_secretfile, anycountry)) | (~admin_indi_has_citizenship(admin, babu, anycountry))))),
% 0.46/0.66 inference(monotonicity,[status(thm)],[93])).
% 0.46/0.66 tff(95,plain,
% 0.46/0.66 (((~![K: $i, F: $i, L: $i] : (admin_indi_has_citizenship_for_file(admin, K, F) | (~admin_indi_has_citizenship(admin, K, L)) | (~admin_file_has_citizenship(admin, F, L)))) | (admin_indi_has_citizenship_for_file(admin, babu, not_secretfile) | (~admin_indi_has_citizenship(admin, babu, anycountry)) | (~admin_file_has_citizenship(admin, not_secretfile, anycountry)))) <=> ((~![K: $i, F: $i, L: $i] : (admin_indi_has_citizenship_for_file(admin, K, F) | (~admin_indi_has_citizenship(admin, K, L)) | (~admin_file_has_citizenship(admin, F, L)))) | admin_indi_has_citizenship_for_file(admin, babu, not_secretfile) | (~admin_file_has_citizenship(admin, not_secretfile, anycountry)) | (~admin_indi_has_citizenship(admin, babu, anycountry)))),
% 0.46/0.66 inference(transitivity,[status(thm)],[94, 92])).
% 0.46/0.66 tff(96,plain,
% 0.46/0.66 ((~![K: $i, F: $i, L: $i] : (admin_indi_has_citizenship_for_file(admin, K, F) | (~admin_indi_has_citizenship(admin, K, L)) | (~admin_file_has_citizenship(admin, F, L)))) | (admin_indi_has_citizenship_for_file(admin, babu, not_secretfile) | (~admin_indi_has_citizenship(admin, babu, anycountry)) | (~admin_file_has_citizenship(admin, not_secretfile, anycountry)))),
% 0.46/0.66 inference(quant_inst,[status(thm)],[])).
% 0.46/0.66 tff(97,plain,
% 0.46/0.66 ((~![K: $i, F: $i, L: $i] : (admin_indi_has_citizenship_for_file(admin, K, F) | (~admin_indi_has_citizenship(admin, K, L)) | (~admin_file_has_citizenship(admin, F, L)))) | admin_indi_has_citizenship_for_file(admin, babu, not_secretfile) | (~admin_file_has_citizenship(admin, not_secretfile, anycountry)) | (~admin_indi_has_citizenship(admin, babu, anycountry))),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.46/0.66 tff(98,plain,
% 0.46/0.66 (admin_indi_has_citizenship_for_file(admin, babu, not_secretfile) | (~admin_indi_has_citizenship(admin, babu, anycountry))),
% 0.46/0.66 inference(unit_resolution,[status(thm)],[97, 91, 81])).
% 0.46/0.66 tff(99,plain,
% 0.46/0.66 (admin_indi_has_citizenship_for_file(admin, babu, not_secretfile)),
% 0.46/0.66 inference(unit_resolution,[status(thm)],[98, 20])).
% 0.46/0.66 tff(100,plain,
% 0.46/0.66 (^[K: $i] : refl(admin_indi_has_compartments(admin, K, nil) <=> admin_indi_has_compartments(admin, K, nil))),
% 0.46/0.66 inference(bind,[status(th)],[])).
% 0.46/0.66 tff(101,plain,
% 0.46/0.66 (![K: $i] : admin_indi_has_compartments(admin, K, nil) <=> ![K: $i] : admin_indi_has_compartments(admin, K, nil)),
% 0.46/0.66 inference(quant_intro,[status(thm)],[100])).
% 0.46/0.66 tff(102,plain,
% 0.46/0.66 (![K: $i] : admin_indi_has_compartments(admin, K, nil) <=> ![K: $i] : admin_indi_has_compartments(admin, K, nil)),
% 0.46/0.66 inference(rewrite,[status(thm)],[])).
% 0.46/0.66 tff(103,axiom,(![K: $i] : admin_indi_has_compartments(admin, K, nil)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV009+0.ax','ax26')).
% 0.46/0.66 tff(104,plain,
% 0.46/0.66 (![K: $i] : admin_indi_has_compartments(admin, K, nil)),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[103, 102])).
% 0.46/0.66 tff(105,plain,(
% 0.46/0.66 ![K: $i] : admin_indi_has_compartments(admin, K, nil)),
% 0.46/0.66 inference(skolemize,[status(sab)],[104])).
% 0.46/0.66 tff(106,plain,
% 0.46/0.66 (![K: $i] : admin_indi_has_compartments(admin, K, nil)),
% 0.46/0.66 inference(modus_ponens,[status(thm)],[105, 101])).
% 0.46/0.66 tff(107,plain,
% 0.46/0.66 ((~![K: $i] : admin_indi_has_compartments(admin, K, nil)) | admin_indi_has_compartments(admin, babu, nil)),
% 0.46/0.66 inference(quant_inst,[status(thm)],[])).
% 0.46/0.66 tff(108,plain,
% 0.46/0.66 (admin_indi_has_compartments(admin, babu, nil)),
% 0.46/0.66 inference(unit_resolution,[status(thm)],[107, 106])).
% 0.46/0.66 tff(109,assumption,(~admin_indi_has_compartments_for_file(admin, babu, not_secretfile)), introduced(assumption)).
% 0.46/0.66 tff(110,plain,
% 0.46/0.66 (^[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))))),
% 0.46/0.66 inference(bind,[status(th)],[])).
% 0.46/0.66 tff(111,plain,
% 0.46/0.66 (![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)))),
% 0.49/0.66 inference(quant_intro,[status(thm)],[110])).
% 0.49/0.66 tff(112,plain,
% 0.49/0.66 (![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)))),
% 0.49/0.66 inference(rewrite,[status(thm)],[])).
% 0.49/0.66 tff(113,plain,
% 0.49/0.66 (^[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)))))),
% 0.49/0.66 inference(bind,[status(th)],[])).
% 0.49/0.66 tff(114,plain,
% 0.49/0.66 (![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)))),
% 0.49/0.66 inference(quant_intro,[status(thm)],[113])).
% 0.49/0.66 tff(115,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/sandbox2/benchmark/Axioms/SWV009+0.ax','ax34')).
% 0.49/0.66 tff(116,plain,
% 0.49/0.66 (![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)))),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[115, 114])).
% 0.49/0.66 tff(117,plain,
% 0.49/0.66 (![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)))),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[116, 112])).
% 0.49/0.66 tff(118,plain,(
% 0.49/0.66 ![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)))),
% 0.49/0.66 inference(skolemize,[status(sab)],[117])).
% 0.49/0.66 tff(119,plain,
% 0.49/0.66 (![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)))),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[118, 111])).
% 0.49/0.66 tff(120,plain,
% 0.49/0.66 (((~![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, babu, not_secretfile) | (~admin_file_has_compartments(admin, not_secretfile, nil)) | (~admin_indi_has_compartments(admin, babu, 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, babu, not_secretfile) | (~admin_file_has_compartments(admin, not_secretfile, nil)) | (~admin_indi_has_compartments(admin, babu, nil)))),
% 0.49/0.66 inference(rewrite,[status(thm)],[])).
% 0.49/0.66 tff(121,plain,
% 0.49/0.66 ((admin_indi_has_compartments_for_file(admin, babu, not_secretfile) | (~admin_indi_has_compartments(admin, babu, nil)) | (~admin_file_has_compartments(admin, not_secretfile, nil))) <=> (admin_indi_has_compartments_for_file(admin, babu, not_secretfile) | (~admin_file_has_compartments(admin, not_secretfile, nil)) | (~admin_indi_has_compartments(admin, babu, nil)))),
% 0.49/0.66 inference(rewrite,[status(thm)],[])).
% 0.49/0.66 tff(122,plain,
% 0.49/0.66 (((~![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, babu, not_secretfile) | (~admin_indi_has_compartments(admin, babu, nil)) | (~admin_file_has_compartments(admin, not_secretfile, 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, babu, not_secretfile) | (~admin_file_has_compartments(admin, not_secretfile, nil)) | (~admin_indi_has_compartments(admin, babu, nil))))),
% 0.49/0.66 inference(monotonicity,[status(thm)],[121])).
% 0.49/0.66 tff(123,plain,
% 0.49/0.66 (((~![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, babu, not_secretfile) | (~admin_indi_has_compartments(admin, babu, nil)) | (~admin_file_has_compartments(admin, not_secretfile, 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, babu, not_secretfile) | (~admin_file_has_compartments(admin, not_secretfile, nil)) | (~admin_indi_has_compartments(admin, babu, nil)))),
% 0.49/0.66 inference(transitivity,[status(thm)],[122, 120])).
% 0.49/0.66 tff(124,plain,
% 0.49/0.66 ((~![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, babu, not_secretfile) | (~admin_indi_has_compartments(admin, babu, nil)) | (~admin_file_has_compartments(admin, not_secretfile, nil)))),
% 0.49/0.66 inference(quant_inst,[status(thm)],[])).
% 0.49/0.66 tff(125,plain,
% 0.49/0.66 ((~![K: $i, F: $i, CL: $i] : (admin_indi_has_compartments_for_file(admin, K, F) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_file_has_compartments(admin, F, CL)))) | admin_indi_has_compartments_for_file(admin, babu, not_secretfile) | (~admin_file_has_compartments(admin, not_secretfile, nil)) | (~admin_indi_has_compartments(admin, babu, nil))),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[124, 123])).
% 0.49/0.66 tff(126,plain,
% 0.49/0.66 ($false),
% 0.49/0.66 inference(unit_resolution,[status(thm)],[125, 119, 60, 109, 108])).
% 0.49/0.66 tff(127,plain,(admin_indi_has_compartments_for_file(admin, babu, not_secretfile)), inference(lemma,lemma(discharge,[]))).
% 0.49/0.66 tff(128,plain,
% 0.49/0.66 (owner_indi_has_need_to_know(owner_not_secretfile, babu, not_secretfile) <=> owner_indi_has_need_to_know(owner_not_secretfile, babu, not_secretfile)),
% 0.49/0.66 inference(rewrite,[status(thm)],[])).
% 0.49/0.66 tff(129,axiom,(owner_indi_has_need_to_know(owner_not_secretfile, babu, not_secretfile)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax85')).
% 0.49/0.66 tff(130,plain,
% 0.49/0.66 (owner_indi_has_need_to_know(owner_not_secretfile, babu, not_secretfile)),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[129, 128])).
% 0.49/0.66 tff(131,plain,
% 0.49/0.66 (state_file_has_owner(not_secretfile, owner_not_secretfile) <=> state_file_has_owner(not_secretfile, owner_not_secretfile)),
% 0.49/0.66 inference(rewrite,[status(thm)],[])).
% 0.49/0.66 tff(132,axiom,(state_file_has_owner(not_secretfile, owner_not_secretfile)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax65')).
% 0.49/0.66 tff(133,plain,
% 0.49/0.66 (state_file_has_owner(not_secretfile, owner_not_secretfile)),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.49/0.66 tff(134,plain,
% 0.49/0.66 (^[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))))),
% 0.49/0.66 inference(bind,[status(th)],[])).
% 0.49/0.66 tff(135,plain,
% 0.49/0.66 (![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)))),
% 0.49/0.66 inference(quant_intro,[status(thm)],[134])).
% 0.49/0.66 tff(136,plain,
% 0.49/0.66 (![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)))),
% 0.49/0.66 inference(rewrite,[status(thm)],[])).
% 0.49/0.66 tff(137,plain,
% 0.49/0.66 (^[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)))))),
% 0.49/0.66 inference(bind,[status(th)],[])).
% 0.49/0.66 tff(138,plain,
% 0.49/0.66 (![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)))),
% 0.49/0.66 inference(quant_intro,[status(thm)],[137])).
% 0.49/0.66 tff(139,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/sandbox2/benchmark/Axioms/SWV009+0.ax','ax36')).
% 0.49/0.66 tff(140,plain,
% 0.49/0.66 (![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)))),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[139, 138])).
% 0.49/0.66 tff(141,plain,
% 0.49/0.66 (![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)))),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[140, 136])).
% 0.49/0.66 tff(142,plain,(
% 0.49/0.66 ![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)))),
% 0.49/0.66 inference(skolemize,[status(sab)],[141])).
% 0.49/0.66 tff(143,plain,
% 0.49/0.66 (![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)))),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[142, 135])).
% 0.49/0.66 tff(144,plain,
% 0.49/0.66 (((~![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, babu, not_secretfile) | (~owner_indi_has_need_to_know(owner_not_secretfile, babu, not_secretfile)) | (~state_file_has_owner(not_secretfile, owner_not_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, babu, not_secretfile) | (~owner_indi_has_need_to_know(owner_not_secretfile, babu, not_secretfile)) | (~state_file_has_owner(not_secretfile, owner_not_secretfile)))),
% 0.49/0.66 inference(rewrite,[status(thm)],[])).
% 0.49/0.66 tff(145,plain,
% 0.49/0.66 ((~![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, babu, not_secretfile) | (~owner_indi_has_need_to_know(owner_not_secretfile, babu, not_secretfile)) | (~state_file_has_owner(not_secretfile, owner_not_secretfile)))),
% 0.49/0.66 inference(quant_inst,[status(thm)],[])).
% 0.49/0.66 tff(146,plain,
% 0.49/0.66 ((~![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, babu, not_secretfile) | (~owner_indi_has_need_to_know(owner_not_secretfile, babu, not_secretfile)) | (~state_file_has_owner(not_secretfile, owner_not_secretfile))),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.49/0.66 tff(147,plain,
% 0.49/0.66 (admin_indi_has_need_to_know_for_file(admin, babu, not_secretfile)),
% 0.49/0.66 inference(unit_resolution,[status(thm)],[146, 143, 133, 130])).
% 0.49/0.66 tff(148,plain,
% 0.49/0.66 ((~admin_indi_may_file(admin, babu, not_secretfile, read)) <=> (~admin_indi_may_file(admin, babu, not_secretfile, read))),
% 0.49/0.66 inference(rewrite,[status(thm)],[])).
% 0.49/0.66 tff(149,axiom,(~admin_indi_may_file(admin, babu, not_secretfile, read)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','babureadnotsecret')).
% 0.49/0.66 tff(150,plain,
% 0.49/0.66 (~admin_indi_may_file(admin, babu, not_secretfile, read)),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[149, 148])).
% 0.49/0.66 tff(151,plain,
% 0.49/0.66 (state_file_is_not_working_paper(not_secretfile) <=> state_file_is_not_working_paper(not_secretfile)),
% 0.49/0.66 inference(rewrite,[status(thm)],[])).
% 0.49/0.66 tff(152,axiom,(state_file_is_not_working_paper(not_secretfile)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax61')).
% 0.49/0.66 tff(153,plain,
% 0.49/0.66 (state_file_is_not_working_paper(not_secretfile)),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[152, 151])).
% 0.49/0.66 tff(154,plain,
% 0.49/0.66 (^[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))))),
% 0.49/0.66 inference(bind,[status(th)],[])).
% 0.49/0.66 tff(155,plain,
% 0.49/0.66 (![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)))),
% 0.49/0.66 inference(quant_intro,[status(thm)],[154])).
% 0.49/0.66 tff(156,plain,
% 0.49/0.66 (![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)))),
% 0.49/0.66 inference(rewrite,[status(thm)],[])).
% 0.49/0.66 tff(157,plain,
% 0.49/0.66 (^[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)))))),
% 0.49/0.67 inference(bind,[status(th)],[])).
% 0.49/0.67 tff(158,plain,
% 0.49/0.67 (![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)))),
% 0.49/0.67 inference(quant_intro,[status(thm)],[157])).
% 0.49/0.67 tff(159,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/sandbox2/benchmark/Axioms/SWV009+0.ax','ax39')).
% 0.49/0.67 tff(160,plain,
% 0.49/0.67 (![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)))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[159, 158])).
% 0.49/0.67 tff(161,plain,
% 0.49/0.67 (![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)))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[160, 156])).
% 0.49/0.67 tff(162,plain,(
% 0.49/0.67 ![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)))),
% 0.49/0.67 inference(skolemize,[status(sab)],[161])).
% 0.49/0.67 tff(163,plain,
% 0.49/0.67 (![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)))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[162, 155])).
% 0.49/0.67 tff(164,plain,
% 0.49/0.67 (((~![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, babu, not_secretfile, read) | (~admin_indi_has_compartments_for_file(admin, babu, not_secretfile)) | (~admin_indi_has_level_for_file(admin, babu, not_secretfile)) | (~admin_indi_has_need_to_know_for_file(admin, babu, not_secretfile)) | (~admin_indi_has_citizenship_for_file(admin, babu, not_secretfile)) | (~state_file_is_not_working_paper(not_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, babu, not_secretfile, read) | (~admin_indi_has_compartments_for_file(admin, babu, not_secretfile)) | (~admin_indi_has_level_for_file(admin, babu, not_secretfile)) | (~admin_indi_has_need_to_know_for_file(admin, babu, not_secretfile)) | (~admin_indi_has_citizenship_for_file(admin, babu, not_secretfile)) | (~state_file_is_not_working_paper(not_secretfile)))),
% 0.49/0.67 inference(rewrite,[status(thm)],[])).
% 0.49/0.67 tff(165,plain,
% 0.49/0.67 ((~![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, babu, not_secretfile, read) | (~admin_indi_has_compartments_for_file(admin, babu, not_secretfile)) | (~admin_indi_has_level_for_file(admin, babu, not_secretfile)) | (~admin_indi_has_need_to_know_for_file(admin, babu, not_secretfile)) | (~admin_indi_has_citizenship_for_file(admin, babu, not_secretfile)) | (~state_file_is_not_working_paper(not_secretfile)))),
% 0.49/0.67 inference(quant_inst,[status(thm)],[])).
% 0.49/0.67 tff(166,plain,
% 0.49/0.67 ((~![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, babu, not_secretfile, read) | (~admin_indi_has_compartments_for_file(admin, babu, not_secretfile)) | (~admin_indi_has_level_for_file(admin, babu, not_secretfile)) | (~admin_indi_has_need_to_know_for_file(admin, babu, not_secretfile)) | (~admin_indi_has_citizenship_for_file(admin, babu, not_secretfile)) | (~state_file_is_not_working_paper(not_secretfile))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[165, 164])).
% 0.49/0.67 tff(167,plain,
% 0.49/0.67 ((~admin_indi_has_compartments_for_file(admin, babu, not_secretfile)) | (~admin_indi_has_level_for_file(admin, babu, not_secretfile)) | (~admin_indi_has_citizenship_for_file(admin, babu, not_secretfile))),
% 0.49/0.67 inference(unit_resolution,[status(thm)],[166, 163, 153, 150, 147])).
% 0.49/0.67 tff(168,plain,
% 0.49/0.67 ((~admin_indi_has_level_for_file(admin, babu, not_secretfile)) | (~admin_indi_has_citizenship_for_file(admin, babu, not_secretfile))),
% 0.49/0.67 inference(unit_resolution,[status(thm)],[167, 127])).
% 0.49/0.67 tff(169,plain,
% 0.49/0.67 (~admin_indi_has_level_for_file(admin, babu, not_secretfile)),
% 0.49/0.67 inference(unit_resolution,[status(thm)],[168, 99])).
% 0.49/0.67 tff(170,plain,
% 0.49/0.67 (^[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))))),
% 0.49/0.67 inference(bind,[status(th)],[])).
% 0.49/0.67 tff(171,plain,
% 0.49/0.67 (![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)))),
% 0.49/0.67 inference(quant_intro,[status(thm)],[170])).
% 0.49/0.67 tff(172,plain,
% 0.49/0.67 (![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)))),
% 0.49/0.67 inference(rewrite,[status(thm)],[])).
% 0.49/0.67 tff(173,plain,
% 0.49/0.67 (^[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)))))),
% 0.49/0.67 inference(bind,[status(th)],[])).
% 0.49/0.67 tff(174,plain,
% 0.49/0.67 (![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)))),
% 0.49/0.67 inference(quant_intro,[status(thm)],[173])).
% 0.49/0.67 tff(175,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/sandbox2/benchmark/Axioms/SWV009+0.ax','ax35')).
% 0.49/0.67 tff(176,plain,
% 0.49/0.67 (![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)))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[175, 174])).
% 0.49/0.67 tff(177,plain,
% 0.49/0.67 (![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)))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[176, 172])).
% 0.49/0.67 tff(178,plain,(
% 0.49/0.67 ![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)))),
% 0.49/0.67 inference(skolemize,[status(sab)],[177])).
% 0.49/0.67 tff(179,plain,
% 0.49/0.67 (![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)))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[178, 171])).
% 0.49/0.67 tff(180,plain,
% 0.49/0.67 (((~![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, babu, not_secretfile) | (~admin_indi_has_level(admin, babu, unclassified)) | (~admin_file_has_level(admin, not_secretfile, unclassified)))) <=> ((~![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, babu, not_secretfile) | (~admin_indi_has_level(admin, babu, unclassified)) | (~admin_file_has_level(admin, not_secretfile, unclassified)))),
% 0.49/0.67 inference(rewrite,[status(thm)],[])).
% 0.49/0.67 tff(181,plain,
% 0.49/0.67 ((~![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, babu, not_secretfile) | (~admin_indi_has_level(admin, babu, unclassified)) | (~admin_file_has_level(admin, not_secretfile, unclassified)))),
% 0.49/0.67 inference(quant_inst,[status(thm)],[])).
% 0.49/0.67 tff(182,plain,
% 0.49/0.67 ((~![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, babu, not_secretfile) | (~admin_indi_has_level(admin, babu, unclassified)) | (~admin_file_has_level(admin, not_secretfile, unclassified))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[181, 180])).
% 0.49/0.67 tff(183,plain,
% 0.49/0.67 (~admin_file_has_level(admin, not_secretfile, unclassified)),
% 0.49/0.67 inference(unit_resolution,[status(thm)],[182, 179, 169, 9])).
% 0.49/0.67 tff(184,plain,
% 0.49/0.67 (system_file_needs_level(system, not_secretfile, unclassified) <=> system_file_needs_level(system, not_secretfile, unclassified)),
% 0.49/0.67 inference(rewrite,[status(thm)],[])).
% 0.49/0.67 tff(185,axiom,(system_file_needs_level(system, not_secretfile, unclassified)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax63')).
% 0.49/0.67 tff(186,plain,
% 0.49/0.67 (system_file_needs_level(system, not_secretfile, unclassified)),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[185, 184])).
% 0.49/0.67 tff(187,plain,
% 0.49/0.67 (^[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))))),
% 0.49/0.67 inference(bind,[status(th)],[])).
% 0.49/0.67 tff(188,plain,
% 0.49/0.67 (![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)))),
% 0.49/0.67 inference(quant_intro,[status(thm)],[187])).
% 0.49/0.67 tff(189,plain,
% 0.49/0.67 (![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)))),
% 0.49/0.67 inference(rewrite,[status(thm)],[])).
% 0.49/0.67 tff(190,plain,
% 0.49/0.67 (^[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)))))),
% 0.49/0.67 inference(bind,[status(th)],[])).
% 0.49/0.67 tff(191,plain,
% 0.49/0.67 (![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)))),
% 0.49/0.67 inference(quant_intro,[status(thm)],[190])).
% 0.49/0.67 tff(192,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/sandbox2/benchmark/Axioms/SWV009+0.ax','ax11')).
% 0.49/0.67 tff(193,plain,
% 0.49/0.67 (![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)))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[192, 191])).
% 0.49/0.67 tff(194,plain,
% 0.49/0.67 (![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)))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[193, 189])).
% 0.49/0.67 tff(195,plain,(
% 0.49/0.67 ![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)))),
% 0.49/0.67 inference(skolemize,[status(sab)],[194])).
% 0.49/0.67 tff(196,plain,
% 0.49/0.67 (![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)))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[195, 188])).
% 0.49/0.67 tff(197,plain,
% 0.49/0.67 (((~![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, not_secretfile, nil)) | admin_file_has_level(admin, not_secretfile, unclassified) | (~admin_file_has_level_h(admin, not_secretfile, unclassified, nil)) | (~system_file_needs_level(system, not_secretfile, unclassified)))) <=> ((~![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, not_secretfile, nil)) | admin_file_has_level(admin, not_secretfile, unclassified) | (~admin_file_has_level_h(admin, not_secretfile, unclassified, nil)) | (~system_file_needs_level(system, not_secretfile, unclassified)))),
% 0.49/0.67 inference(rewrite,[status(thm)],[])).
% 0.49/0.67 tff(198,plain,
% 0.49/0.67 ((admin_file_has_level(admin, not_secretfile, unclassified) | (~admin_file_has_level_h(admin, not_secretfile, unclassified, nil)) | (~admin_file_has_compartments(admin, not_secretfile, nil)) | (~system_file_needs_level(system, not_secretfile, unclassified))) <=> ((~admin_file_has_compartments(admin, not_secretfile, nil)) | admin_file_has_level(admin, not_secretfile, unclassified) | (~admin_file_has_level_h(admin, not_secretfile, unclassified, nil)) | (~system_file_needs_level(system, not_secretfile, unclassified)))),
% 0.49/0.67 inference(rewrite,[status(thm)],[])).
% 0.49/0.67 tff(199,plain,
% 0.49/0.67 (((~![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, not_secretfile, unclassified) | (~admin_file_has_level_h(admin, not_secretfile, unclassified, nil)) | (~admin_file_has_compartments(admin, not_secretfile, nil)) | (~system_file_needs_level(system, not_secretfile, unclassified)))) <=> ((~![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, not_secretfile, nil)) | admin_file_has_level(admin, not_secretfile, unclassified) | (~admin_file_has_level_h(admin, not_secretfile, unclassified, nil)) | (~system_file_needs_level(system, not_secretfile, unclassified))))),
% 0.49/0.67 inference(monotonicity,[status(thm)],[198])).
% 0.49/0.67 tff(200,plain,
% 0.49/0.67 (((~![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, not_secretfile, unclassified) | (~admin_file_has_level_h(admin, not_secretfile, unclassified, nil)) | (~admin_file_has_compartments(admin, not_secretfile, nil)) | (~system_file_needs_level(system, not_secretfile, unclassified)))) <=> ((~![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, not_secretfile, nil)) | admin_file_has_level(admin, not_secretfile, unclassified) | (~admin_file_has_level_h(admin, not_secretfile, unclassified, nil)) | (~system_file_needs_level(system, not_secretfile, unclassified)))),
% 0.49/0.67 inference(transitivity,[status(thm)],[199, 197])).
% 0.49/0.67 tff(201,plain,
% 0.49/0.67 ((~![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, not_secretfile, unclassified) | (~admin_file_has_level_h(admin, not_secretfile, unclassified, nil)) | (~admin_file_has_compartments(admin, not_secretfile, nil)) | (~system_file_needs_level(system, not_secretfile, unclassified)))),
% 0.49/0.67 inference(quant_inst,[status(thm)],[])).
% 0.49/0.67 tff(202,plain,
% 0.49/0.67 ((~![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, not_secretfile, nil)) | admin_file_has_level(admin, not_secretfile, unclassified) | (~admin_file_has_level_h(admin, not_secretfile, unclassified, nil)) | (~system_file_needs_level(system, not_secretfile, unclassified))),
% 0.49/0.67 inference(modus_ponens,[status(thm)],[201, 200])).
% 0.49/0.67 tff(203,plain,
% 0.49/0.67 (admin_file_has_level(admin, not_secretfile, unclassified) | (~admin_file_has_level_h(admin, not_secretfile, unclassified, nil))),
% 0.49/0.67 inference(unit_resolution,[status(thm)],[202, 196, 186, 60])).
% 0.49/0.68 tff(204,plain,
% 0.49/0.68 (~admin_file_has_level_h(admin, not_secretfile, unclassified, nil)),
% 0.49/0.68 inference(unit_resolution,[status(thm)],[203, 183])).
% 0.49/0.68 tff(205,plain,
% 0.49/0.68 (^[F: $i, L: $i] : refl(admin_file_has_level_h(admin, F, L, nil) <=> admin_file_has_level_h(admin, F, L, nil))),
% 0.49/0.68 inference(bind,[status(th)],[])).
% 0.49/0.68 tff(206,plain,
% 0.49/0.68 (![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)),
% 0.49/0.68 inference(quant_intro,[status(thm)],[205])).
% 0.49/0.68 tff(207,plain,
% 0.49/0.68 (![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)),
% 0.49/0.68 inference(rewrite,[status(thm)],[])).
% 0.49/0.68 tff(208,axiom,(![F: $i, L: $i] : admin_file_has_level_h(admin, F, L, nil)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV009+0.ax','ax12')).
% 0.49/0.68 tff(209,plain,
% 0.49/0.68 (![F: $i, L: $i] : admin_file_has_level_h(admin, F, L, nil)),
% 0.49/0.68 inference(modus_ponens,[status(thm)],[208, 207])).
% 0.49/0.68 tff(210,plain,(
% 0.49/0.68 ![F: $i, L: $i] : admin_file_has_level_h(admin, F, L, nil)),
% 0.49/0.68 inference(skolemize,[status(sab)],[209])).
% 0.49/0.68 tff(211,plain,
% 0.49/0.68 (![F: $i, L: $i] : admin_file_has_level_h(admin, F, L, nil)),
% 0.49/0.68 inference(modus_ponens,[status(thm)],[210, 206])).
% 0.49/0.68 tff(212,plain,
% 0.49/0.68 ((~![F: $i, L: $i] : admin_file_has_level_h(admin, F, L, nil)) | admin_file_has_level_h(admin, not_secretfile, unclassified, nil)),
% 0.49/0.68 inference(quant_inst,[status(thm)],[])).
% 0.49/0.68 tff(213,plain,
% 0.49/0.68 ($false),
% 0.49/0.68 inference(unit_resolution,[status(thm)],[212, 211, 204])).
% 0.49/0.68 % SZS output end Proof
% 0.49/0.68 % E exiting
%------------------------------------------------------------------------------