TSTP Solution File: SWV438+1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV438+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% 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 : Thu Sep 29 15:17:36 EDT 2022
% Result : Theorem 0.55s 0.59s
% Output : Proof 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV438+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Sep 4 03:32:57 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.15/0.36 Usage: tptp [options] [-file:]file
% 0.15/0.36 -h, -? prints this message.
% 0.15/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.15/0.36 -m, -model generate model.
% 0.15/0.36 -p, -proof generate proof.
% 0.15/0.36 -c, -core generate unsat core of named formulas.
% 0.15/0.36 -st, -statistics display statistics.
% 0.15/0.36 -t:timeout set timeout (in second).
% 0.15/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.15/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.15/0.36 -<param>:<value> configuration parameter and value.
% 0.15/0.36 -o:<output-file> file to place output in.
% 0.55/0.59 % SZS status Theorem
% 0.55/0.59 % SZS output start Proof
% 0.55/0.59 tff(admin_file_has_level_h_type, type, (
% 0.55/0.59 admin_file_has_level_h: ( $i * $i * $i * $i ) > $o)).
% 0.55/0.59 tff(nil_type, type, (
% 0.55/0.59 nil: $i)).
% 0.55/0.59 tff(unclassified_type, type, (
% 0.55/0.59 unclassified: $i)).
% 0.55/0.59 tff(not_secretfile_type, type, (
% 0.55/0.59 not_secretfile: $i)).
% 0.55/0.59 tff(admin_type, type, (
% 0.55/0.59 admin: $i)).
% 0.55/0.59 tff(admin_file_has_level_type, type, (
% 0.55/0.59 admin_file_has_level: ( $i * $i * $i ) > $o)).
% 0.55/0.59 tff(admin_indi_has_level_type, type, (
% 0.55/0.59 admin_indi_has_level: ( $i * $i * $i ) > $o)).
% 0.55/0.59 tff(babu_type, type, (
% 0.55/0.59 babu: $i)).
% 0.55/0.59 tff(admin_indi_has_level_for_file_type, type, (
% 0.55/0.59 admin_indi_has_level_for_file: ( $i * $i * $i ) > $o)).
% 0.55/0.59 tff(admin_indi_has_citizenship_for_file_type, type, (
% 0.55/0.59 admin_indi_has_citizenship_for_file: ( $i * $i * $i ) > $o)).
% 0.55/0.59 tff(admin_file_has_citizenship_type, type, (
% 0.55/0.59 admin_file_has_citizenship: ( $i * $i * $i ) > $o)).
% 0.55/0.59 tff(anycountry_type, type, (
% 0.55/0.59 anycountry: $i)).
% 0.55/0.59 tff(admin_file_has_citizenship_h_type, type, (
% 0.55/0.59 admin_file_has_citizenship_h: ( $i * $i * $i * $i ) > $o)).
% 0.55/0.59 tff(admin_file_has_compartments_type, type, (
% 0.55/0.59 admin_file_has_compartments: ( $i * $i * $i ) > $o)).
% 0.55/0.59 tff(admin_file_has_compartments_h_type, type, (
% 0.55/0.59 admin_file_has_compartments_h: ( $i * $i * $i * $i ) > $o)).
% 0.55/0.59 tff(system_file_needs_compartments_type, type, (
% 0.55/0.59 system_file_needs_compartments: ( $i * $i * $i ) > $o)).
% 0.55/0.59 tff(system_type, type, (
% 0.55/0.59 system: $i)).
% 0.55/0.59 tff(system_file_needs_citizenship_type, type, (
% 0.55/0.59 system_file_needs_citizenship: ( $i * $i * $i ) > $o)).
% 0.55/0.59 tff(admin_indi_has_citizenship_type, type, (
% 0.55/0.59 admin_indi_has_citizenship: ( $i * $i * $i ) > $o)).
% 0.55/0.59 tff(admin_indi_has_compartments_for_file_type, type, (
% 0.55/0.59 admin_indi_has_compartments_for_file: ( $i * $i * $i ) > $o)).
% 0.55/0.59 tff(admin_indi_has_compartments_type, type, (
% 0.55/0.59 admin_indi_has_compartments: ( $i * $i * $i ) > $o)).
% 0.55/0.59 tff(admin_indi_has_need_to_know_for_file_type, type, (
% 0.55/0.59 admin_indi_has_need_to_know_for_file: ( $i * $i * $i ) > $o)).
% 0.55/0.59 tff(owner_indi_has_need_to_know_type, type, (
% 0.55/0.59 owner_indi_has_need_to_know: ( $i * $i * $i ) > $o)).
% 0.55/0.59 tff(owner_not_secretfile_type, type, (
% 0.55/0.59 owner_not_secretfile: $i)).
% 0.55/0.59 tff(state_file_has_owner_type, type, (
% 0.55/0.59 state_file_has_owner: ( $i * $i ) > $o)).
% 0.55/0.59 tff(admin_indi_may_file_type, type, (
% 0.55/0.59 admin_indi_may_file: ( $i * $i * $i * $i ) > $o)).
% 0.55/0.59 tff(read_type, type, (
% 0.55/0.59 read: $i)).
% 0.55/0.59 tff(state_file_is_not_working_paper_type, type, (
% 0.55/0.59 state_file_is_not_working_paper: $i > $o)).
% 0.55/0.59 tff(system_file_needs_level_type, type, (
% 0.55/0.59 system_file_needs_level: ( $i * $i * $i ) > $o)).
% 0.55/0.59 tff(1,plain,
% 0.55/0.59 (^[F: $i, L: $i] : refl(admin_file_has_level_h(admin, F, L, nil) <=> admin_file_has_level_h(admin, F, L, nil))),
% 0.55/0.59 inference(bind,[status(th)],[])).
% 0.55/0.59 tff(2,plain,
% 0.55/0.59 (![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)),
% 0.55/0.59 inference(quant_intro,[status(thm)],[1])).
% 0.55/0.59 tff(3,plain,
% 0.55/0.59 (![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)),
% 0.55/0.59 inference(rewrite,[status(thm)],[])).
% 0.55/0.59 tff(4,axiom,(![F: $i, L: $i] : admin_file_has_level_h(admin, F, L, nil)), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax12')).
% 0.55/0.59 tff(5,plain,
% 0.55/0.59 (![F: $i, L: $i] : admin_file_has_level_h(admin, F, L, nil)),
% 0.55/0.59 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.55/0.59 tff(6,plain,(
% 0.55/0.59 ![F: $i, L: $i] : admin_file_has_level_h(admin, F, L, nil)),
% 0.55/0.59 inference(skolemize,[status(sab)],[5])).
% 0.55/0.59 tff(7,plain,
% 0.55/0.59 (![F: $i, L: $i] : admin_file_has_level_h(admin, F, L, nil)),
% 0.55/0.59 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.55/0.59 tff(8,plain,
% 0.55/0.59 ((~![F: $i, L: $i] : admin_file_has_level_h(admin, F, L, nil)) | admin_file_has_level_h(admin, not_secretfile, unclassified, nil)),
% 0.55/0.59 inference(quant_inst,[status(thm)],[])).
% 0.55/0.59 tff(9,plain,
% 0.55/0.59 (admin_file_has_level_h(admin, not_secretfile, unclassified, nil)),
% 0.55/0.59 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.55/0.59 tff(10,plain,
% 0.55/0.59 (^[K: $i] : refl(admin_indi_has_level(admin, K, unclassified) <=> admin_indi_has_level(admin, K, unclassified))),
% 0.55/0.59 inference(bind,[status(th)],[])).
% 0.55/0.59 tff(11,plain,
% 0.55/0.59 (![K: $i] : admin_indi_has_level(admin, K, unclassified) <=> ![K: $i] : admin_indi_has_level(admin, K, unclassified)),
% 0.55/0.59 inference(quant_intro,[status(thm)],[10])).
% 0.55/0.59 tff(12,plain,
% 0.55/0.59 (![K: $i] : admin_indi_has_level(admin, K, unclassified) <=> ![K: $i] : admin_indi_has_level(admin, K, unclassified)),
% 0.55/0.59 inference(rewrite,[status(thm)],[])).
% 0.55/0.59 tff(13,axiom,(![K: $i] : admin_indi_has_level(admin, K, unclassified)), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax24')).
% 0.55/0.59 tff(14,plain,
% 0.55/0.59 (![K: $i] : admin_indi_has_level(admin, K, unclassified)),
% 0.55/0.59 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.55/0.59 tff(15,plain,(
% 0.55/0.59 ![K: $i] : admin_indi_has_level(admin, K, unclassified)),
% 0.55/0.59 inference(skolemize,[status(sab)],[14])).
% 0.55/0.59 tff(16,plain,
% 0.55/0.59 (![K: $i] : admin_indi_has_level(admin, K, unclassified)),
% 0.55/0.59 inference(modus_ponens,[status(thm)],[15, 11])).
% 0.55/0.59 tff(17,plain,
% 0.55/0.59 ((~![K: $i] : admin_indi_has_level(admin, K, unclassified)) | admin_indi_has_level(admin, babu, unclassified)),
% 0.55/0.59 inference(quant_inst,[status(thm)],[])).
% 0.55/0.59 tff(18,plain,
% 0.55/0.59 (admin_indi_has_level(admin, babu, unclassified)),
% 0.55/0.59 inference(unit_resolution,[status(thm)],[17, 16])).
% 0.55/0.59 tff(19,plain,
% 0.55/0.59 (^[F: $i, U: $i] : refl(admin_file_has_citizenship_h(admin, F, U, nil) <=> admin_file_has_citizenship_h(admin, F, U, nil))),
% 0.55/0.59 inference(bind,[status(th)],[])).
% 0.55/0.59 tff(20,plain,
% 0.55/0.59 (![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)),
% 0.55/0.59 inference(quant_intro,[status(thm)],[19])).
% 0.55/0.59 tff(21,plain,
% 0.55/0.59 (![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)),
% 0.55/0.59 inference(rewrite,[status(thm)],[])).
% 0.55/0.59 tff(22,axiom,(![F: $i, U: $i] : admin_file_has_citizenship_h(admin, F, U, nil)), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax15')).
% 0.55/0.59 tff(23,plain,
% 0.55/0.59 (![F: $i, U: $i] : admin_file_has_citizenship_h(admin, F, U, nil)),
% 0.55/0.59 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.55/0.59 tff(24,plain,(
% 0.55/0.59 ![F: $i, U: $i] : admin_file_has_citizenship_h(admin, F, U, nil)),
% 0.55/0.59 inference(skolemize,[status(sab)],[23])).
% 0.55/0.59 tff(25,plain,
% 0.55/0.59 (![F: $i, U: $i] : admin_file_has_citizenship_h(admin, F, U, nil)),
% 0.55/0.59 inference(modus_ponens,[status(thm)],[24, 20])).
% 0.55/0.59 tff(26,plain,
% 0.55/0.59 ((~![F: $i, U: $i] : admin_file_has_citizenship_h(admin, F, U, nil)) | admin_file_has_citizenship_h(admin, not_secretfile, anycountry, nil)),
% 0.55/0.59 inference(quant_inst,[status(thm)],[])).
% 0.55/0.59 tff(27,plain,
% 0.55/0.59 (admin_file_has_citizenship_h(admin, not_secretfile, anycountry, nil)),
% 0.55/0.59 inference(unit_resolution,[status(thm)],[26, 25])).
% 0.55/0.59 tff(28,assumption,(~admin_file_has_compartments_h(admin, not_secretfile, nil, nil)), introduced(assumption)).
% 0.55/0.59 tff(29,plain,
% 0.55/0.59 (^[F: $i, CL: $i] : refl(admin_file_has_compartments_h(admin, F, CL, nil) <=> admin_file_has_compartments_h(admin, F, CL, nil))),
% 0.55/0.59 inference(bind,[status(th)],[])).
% 0.55/0.59 tff(30,plain,
% 0.55/0.59 (![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)),
% 0.55/0.59 inference(quant_intro,[status(thm)],[29])).
% 0.55/0.59 tff(31,plain,
% 0.55/0.59 (![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)),
% 0.55/0.59 inference(rewrite,[status(thm)],[])).
% 0.55/0.59 tff(32,axiom,(![F: $i, CL: $i] : admin_file_has_compartments_h(admin, F, CL, nil)), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax9')).
% 0.55/0.59 tff(33,plain,
% 0.55/0.59 (![F: $i, CL: $i] : admin_file_has_compartments_h(admin, F, CL, nil)),
% 0.55/0.59 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.55/0.59 tff(34,plain,(
% 0.55/0.59 ![F: $i, CL: $i] : admin_file_has_compartments_h(admin, F, CL, nil)),
% 0.55/0.59 inference(skolemize,[status(sab)],[33])).
% 0.55/0.59 tff(35,plain,
% 0.55/0.59 (![F: $i, CL: $i] : admin_file_has_compartments_h(admin, F, CL, nil)),
% 0.55/0.59 inference(modus_ponens,[status(thm)],[34, 30])).
% 0.55/0.59 tff(36,plain,
% 0.55/0.59 ((~![F: $i, CL: $i] : admin_file_has_compartments_h(admin, F, CL, nil)) | admin_file_has_compartments_h(admin, not_secretfile, nil, nil)),
% 0.55/0.59 inference(quant_inst,[status(thm)],[])).
% 0.55/0.59 tff(37,plain,
% 0.55/0.59 ($false),
% 0.55/0.59 inference(unit_resolution,[status(thm)],[36, 35, 28])).
% 0.55/0.59 tff(38,plain,(admin_file_has_compartments_h(admin, not_secretfile, nil, nil)), inference(lemma,lemma(discharge,[]))).
% 0.55/0.59 tff(39,plain,
% 0.55/0.59 (system_file_needs_compartments(system, not_secretfile, nil) <=> system_file_needs_compartments(system, not_secretfile, nil)),
% 0.55/0.59 inference(rewrite,[status(thm)],[])).
% 0.55/0.59 tff(40,axiom,(system_file_needs_compartments(system, not_secretfile, nil)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax62')).
% 0.55/0.59 tff(41,plain,
% 0.55/0.59 (system_file_needs_compartments(system, not_secretfile, nil)),
% 0.55/0.59 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.55/0.59 tff(42,plain,
% 0.55/0.59 (^[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))))),
% 0.55/0.59 inference(bind,[status(th)],[])).
% 0.55/0.59 tff(43,plain,
% 0.55/0.59 (![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)))),
% 0.55/0.59 inference(quant_intro,[status(thm)],[42])).
% 0.55/0.59 tff(44,plain,
% 0.55/0.59 (![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)))),
% 0.55/0.59 inference(rewrite,[status(thm)],[])).
% 0.55/0.59 tff(45,plain,
% 0.55/0.59 (^[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)))))),
% 0.55/0.59 inference(bind,[status(th)],[])).
% 0.55/0.59 tff(46,plain,
% 0.55/0.59 (![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)))),
% 0.55/0.59 inference(quant_intro,[status(thm)],[45])).
% 0.55/0.59 tff(47,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')).
% 0.55/0.59 tff(48,plain,
% 0.55/0.59 (![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)))),
% 0.55/0.59 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.55/0.59 tff(49,plain,
% 0.55/0.59 (![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)))),
% 0.55/0.59 inference(modus_ponens,[status(thm)],[48, 44])).
% 0.55/0.59 tff(50,plain,(
% 0.55/0.59 ![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)))),
% 0.55/0.59 inference(skolemize,[status(sab)],[49])).
% 0.55/0.59 tff(51,plain,
% 0.55/0.59 (![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)))),
% 0.55/0.59 inference(modus_ponens,[status(thm)],[50, 43])).
% 0.55/0.59 tff(52,plain,
% 0.55/0.59 (((~![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)))),
% 0.55/0.59 inference(rewrite,[status(thm)],[])).
% 0.55/0.59 tff(53,plain,
% 0.55/0.59 ((~![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)))),
% 0.55/0.59 inference(quant_inst,[status(thm)],[])).
% 0.55/0.59 tff(54,plain,
% 0.55/0.59 ((~![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))),
% 0.55/0.59 inference(modus_ponens,[status(thm)],[53, 52])).
% 0.55/0.59 tff(55,plain,
% 0.55/0.59 (admin_file_has_compartments(admin, not_secretfile, nil) | (~admin_file_has_compartments_h(admin, not_secretfile, nil, nil))),
% 0.55/0.59 inference(unit_resolution,[status(thm)],[54, 51, 41])).
% 0.55/0.59 tff(56,plain,
% 0.55/0.59 (admin_file_has_compartments(admin, not_secretfile, nil)),
% 0.55/0.59 inference(unit_resolution,[status(thm)],[55, 38])).
% 0.55/0.59 tff(57,plain,
% 0.55/0.59 (system_file_needs_citizenship(system, not_secretfile, anycountry) <=> system_file_needs_citizenship(system, not_secretfile, anycountry)),
% 0.55/0.59 inference(rewrite,[status(thm)],[])).
% 0.55/0.59 tff(58,axiom,(system_file_needs_citizenship(system, not_secretfile, anycountry)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax64')).
% 0.55/0.59 tff(59,plain,
% 0.55/0.59 (system_file_needs_citizenship(system, not_secretfile, anycountry)),
% 0.55/0.59 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.55/0.59 tff(60,plain,
% 0.55/0.59 (^[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))))),
% 0.55/0.59 inference(bind,[status(th)],[])).
% 0.55/0.59 tff(61,plain,
% 0.55/0.59 (![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)))),
% 0.55/0.59 inference(quant_intro,[status(thm)],[60])).
% 0.55/0.60 tff(62,plain,
% 0.55/0.60 (![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)))),
% 0.55/0.60 inference(rewrite,[status(thm)],[])).
% 0.55/0.60 tff(63,plain,
% 0.55/0.60 (^[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)))))),
% 0.55/0.60 inference(bind,[status(th)],[])).
% 0.55/0.60 tff(64,plain,
% 0.55/0.60 (![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)))),
% 0.55/0.60 inference(quant_intro,[status(thm)],[63])).
% 0.55/0.60 tff(65,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/sandbox/benchmark/Axioms/SWV009+0.ax','ax14')).
% 0.55/0.60 tff(66,plain,
% 0.55/0.60 (![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)))),
% 0.55/0.60 inference(modus_ponens,[status(thm)],[65, 64])).
% 0.55/0.60 tff(67,plain,
% 0.55/0.60 (![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)))),
% 0.57/0.60 inference(modus_ponens,[status(thm)],[66, 62])).
% 0.57/0.60 tff(68,plain,(
% 0.57/0.60 ![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)))),
% 0.57/0.60 inference(skolemize,[status(sab)],[67])).
% 0.57/0.60 tff(69,plain,
% 0.57/0.60 (![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)))),
% 0.57/0.60 inference(modus_ponens,[status(thm)],[68, 61])).
% 0.57/0.60 tff(70,plain,
% 0.57/0.60 (((~![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)))),
% 0.57/0.60 inference(rewrite,[status(thm)],[])).
% 0.57/0.60 tff(71,plain,
% 0.57/0.60 ((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)))),
% 0.57/0.60 inference(rewrite,[status(thm)],[])).
% 0.57/0.60 tff(72,plain,
% 0.57/0.60 (((~![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))))),
% 0.57/0.60 inference(monotonicity,[status(thm)],[71])).
% 0.57/0.60 tff(73,plain,
% 0.57/0.60 (((~![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)))),
% 0.57/0.60 inference(transitivity,[status(thm)],[72, 70])).
% 0.57/0.60 tff(74,plain,
% 0.57/0.60 ((~![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)))),
% 0.57/0.60 inference(quant_inst,[status(thm)],[])).
% 0.57/0.60 tff(75,plain,
% 0.57/0.60 ((~![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))),
% 0.57/0.60 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.57/0.60 tff(76,plain,
% 0.57/0.60 (admin_file_has_citizenship(admin, not_secretfile, anycountry)),
% 0.57/0.60 inference(unit_resolution,[status(thm)],[75, 69, 59, 56, 27])).
% 0.57/0.60 tff(77,plain,
% 0.57/0.60 (^[K: $i] : refl(admin_indi_has_citizenship(admin, K, anycountry) <=> admin_indi_has_citizenship(admin, K, anycountry))),
% 0.57/0.60 inference(bind,[status(th)],[])).
% 0.57/0.60 tff(78,plain,
% 0.57/0.60 (![K: $i] : admin_indi_has_citizenship(admin, K, anycountry) <=> ![K: $i] : admin_indi_has_citizenship(admin, K, anycountry)),
% 0.57/0.60 inference(quant_intro,[status(thm)],[77])).
% 0.57/0.60 tff(79,plain,
% 0.57/0.60 (![K: $i] : admin_indi_has_citizenship(admin, K, anycountry) <=> ![K: $i] : admin_indi_has_citizenship(admin, K, anycountry)),
% 0.57/0.60 inference(rewrite,[status(thm)],[])).
% 0.57/0.60 tff(80,axiom,(![K: $i] : admin_indi_has_citizenship(admin, K, anycountry)), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax22')).
% 0.57/0.60 tff(81,plain,
% 0.57/0.60 (![K: $i] : admin_indi_has_citizenship(admin, K, anycountry)),
% 0.57/0.60 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.57/0.60 tff(82,plain,(
% 0.57/0.60 ![K: $i] : admin_indi_has_citizenship(admin, K, anycountry)),
% 0.57/0.60 inference(skolemize,[status(sab)],[81])).
% 0.57/0.60 tff(83,plain,
% 0.57/0.60 (![K: $i] : admin_indi_has_citizenship(admin, K, anycountry)),
% 0.57/0.60 inference(modus_ponens,[status(thm)],[82, 78])).
% 0.57/0.60 tff(84,plain,
% 0.57/0.60 ((~![K: $i] : admin_indi_has_citizenship(admin, K, anycountry)) | admin_indi_has_citizenship(admin, babu, anycountry)),
% 0.57/0.60 inference(quant_inst,[status(thm)],[])).
% 0.57/0.60 tff(85,plain,
% 0.57/0.60 (admin_indi_has_citizenship(admin, babu, anycountry)),
% 0.57/0.60 inference(unit_resolution,[status(thm)],[84, 83])).
% 0.57/0.60 tff(86,assumption,(~admin_indi_has_citizenship_for_file(admin, babu, not_secretfile)), introduced(assumption)).
% 0.57/0.60 tff(87,plain,
% 0.57/0.60 (^[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))))),
% 0.57/0.60 inference(bind,[status(th)],[])).
% 0.57/0.60 tff(88,plain,
% 0.57/0.60 (![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)))),
% 0.57/0.60 inference(quant_intro,[status(thm)],[87])).
% 0.57/0.60 tff(89,plain,
% 0.57/0.60 (![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)))),
% 0.57/0.60 inference(rewrite,[status(thm)],[])).
% 0.57/0.60 tff(90,plain,
% 0.57/0.60 (^[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)))))),
% 0.57/0.60 inference(bind,[status(th)],[])).
% 0.57/0.60 tff(91,plain,
% 0.57/0.60 (![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)))),
% 0.57/0.60 inference(quant_intro,[status(thm)],[90])).
% 0.57/0.60 tff(92,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/sandbox/benchmark/Axioms/SWV009+0.ax','ax37')).
% 0.57/0.60 tff(93,plain,
% 0.57/0.60 (![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)))),
% 0.57/0.60 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.57/0.60 tff(94,plain,
% 0.57/0.60 (![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)))),
% 0.57/0.60 inference(modus_ponens,[status(thm)],[93, 89])).
% 0.57/0.60 tff(95,plain,(
% 0.57/0.60 ![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)))),
% 0.57/0.60 inference(skolemize,[status(sab)],[94])).
% 0.57/0.60 tff(96,plain,
% 0.57/0.60 (![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)))),
% 0.57/0.60 inference(modus_ponens,[status(thm)],[95, 88])).
% 0.57/0.60 tff(97,plain,
% 0.57/0.60 (((~![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_indi_has_citizenship(admin, babu, anycountry)) | (~admin_file_has_citizenship(admin, not_secretfile, anycountry)))),
% 0.57/0.60 inference(rewrite,[status(thm)],[])).
% 0.57/0.60 tff(98,plain,
% 0.57/0.60 ((~![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)))),
% 0.57/0.61 inference(quant_inst,[status(thm)],[])).
% 0.57/0.61 tff(99,plain,
% 0.57/0.61 ((~![K: $i, F: $i, L: $i] : (admin_indi_has_citizenship_for_file(admin, K, F) | (~admin_indi_has_citizenship(admin, K, L)) | (~admin_file_has_citizenship(admin, F, L)))) | admin_indi_has_citizenship_for_file(admin, babu, not_secretfile) | (~admin_indi_has_citizenship(admin, babu, anycountry)) | (~admin_file_has_citizenship(admin, not_secretfile, anycountry))),
% 0.57/0.61 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.57/0.61 tff(100,plain,
% 0.57/0.61 ($false),
% 0.57/0.61 inference(unit_resolution,[status(thm)],[99, 96, 86, 85, 76])).
% 0.57/0.61 tff(101,plain,(admin_indi_has_citizenship_for_file(admin, babu, not_secretfile)), inference(lemma,lemma(discharge,[]))).
% 0.57/0.61 tff(102,plain,
% 0.57/0.61 (^[K: $i] : refl(admin_indi_has_compartments(admin, K, nil) <=> admin_indi_has_compartments(admin, K, nil))),
% 0.57/0.61 inference(bind,[status(th)],[])).
% 0.57/0.61 tff(103,plain,
% 0.57/0.61 (![K: $i] : admin_indi_has_compartments(admin, K, nil) <=> ![K: $i] : admin_indi_has_compartments(admin, K, nil)),
% 0.57/0.61 inference(quant_intro,[status(thm)],[102])).
% 0.57/0.61 tff(104,plain,
% 0.57/0.61 (![K: $i] : admin_indi_has_compartments(admin, K, nil) <=> ![K: $i] : admin_indi_has_compartments(admin, K, nil)),
% 0.57/0.61 inference(rewrite,[status(thm)],[])).
% 0.57/0.61 tff(105,axiom,(![K: $i] : admin_indi_has_compartments(admin, K, nil)), file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax','ax26')).
% 0.57/0.61 tff(106,plain,
% 0.57/0.61 (![K: $i] : admin_indi_has_compartments(admin, K, nil)),
% 0.57/0.61 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.57/0.61 tff(107,plain,(
% 0.57/0.61 ![K: $i] : admin_indi_has_compartments(admin, K, nil)),
% 0.57/0.61 inference(skolemize,[status(sab)],[106])).
% 0.57/0.61 tff(108,plain,
% 0.57/0.61 (![K: $i] : admin_indi_has_compartments(admin, K, nil)),
% 0.57/0.61 inference(modus_ponens,[status(thm)],[107, 103])).
% 0.57/0.61 tff(109,plain,
% 0.57/0.61 ((~![K: $i] : admin_indi_has_compartments(admin, K, nil)) | admin_indi_has_compartments(admin, babu, nil)),
% 0.57/0.61 inference(quant_inst,[status(thm)],[])).
% 0.57/0.61 tff(110,plain,
% 0.57/0.61 (admin_indi_has_compartments(admin, babu, nil)),
% 0.57/0.61 inference(unit_resolution,[status(thm)],[109, 108])).
% 0.57/0.61 tff(111,assumption,(~admin_indi_has_compartments_for_file(admin, babu, not_secretfile)), introduced(assumption)).
% 0.57/0.61 tff(112,plain,
% 0.57/0.61 (^[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))))),
% 0.57/0.61 inference(bind,[status(th)],[])).
% 0.57/0.61 tff(113,plain,
% 0.57/0.61 (![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)))),
% 0.57/0.61 inference(quant_intro,[status(thm)],[112])).
% 0.57/0.61 tff(114,plain,
% 0.57/0.61 (![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)))),
% 0.57/0.61 inference(rewrite,[status(thm)],[])).
% 0.57/0.61 tff(115,plain,
% 0.57/0.61 (^[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)))))),
% 0.57/0.61 inference(bind,[status(th)],[])).
% 0.57/0.61 tff(116,plain,
% 0.57/0.61 (![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)))),
% 0.57/0.61 inference(quant_intro,[status(thm)],[115])).
% 0.57/0.61 tff(117,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')).
% 0.57/0.61 tff(118,plain,
% 0.57/0.61 (![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)))),
% 0.57/0.61 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.57/0.61 tff(119,plain,
% 0.57/0.61 (![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)))),
% 0.57/0.61 inference(modus_ponens,[status(thm)],[118, 114])).
% 0.57/0.61 tff(120,plain,(
% 0.57/0.61 ![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)))),
% 0.57/0.61 inference(skolemize,[status(sab)],[119])).
% 0.57/0.61 tff(121,plain,
% 0.57/0.61 (![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)))),
% 0.57/0.61 inference(modus_ponens,[status(thm)],[120, 113])).
% 0.57/0.61 tff(122,plain,
% 0.57/0.61 (((~![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_indi_has_compartments(admin, babu, nil)) | (~admin_file_has_compartments(admin, not_secretfile, nil)))),
% 0.57/0.61 inference(rewrite,[status(thm)],[])).
% 0.57/0.61 tff(123,plain,
% 0.57/0.61 ((~![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)))),
% 0.57/0.61 inference(quant_inst,[status(thm)],[])).
% 0.57/0.61 tff(124,plain,
% 0.57/0.61 ((~![K: $i, F: $i, CL: $i] : (admin_indi_has_compartments_for_file(admin, K, F) | (~admin_indi_has_compartments(admin, K, CL)) | (~admin_file_has_compartments(admin, F, CL)))) | admin_indi_has_compartments_for_file(admin, babu, not_secretfile) | (~admin_indi_has_compartments(admin, babu, nil)) | (~admin_file_has_compartments(admin, not_secretfile, nil))),
% 0.57/0.61 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.57/0.61 tff(125,plain,
% 0.57/0.61 ($false),
% 0.57/0.61 inference(unit_resolution,[status(thm)],[124, 121, 56, 111, 110])).
% 0.57/0.61 tff(126,plain,(admin_indi_has_compartments_for_file(admin, babu, not_secretfile)), inference(lemma,lemma(discharge,[]))).
% 0.57/0.61 tff(127,plain,
% 0.57/0.61 (owner_indi_has_need_to_know(owner_not_secretfile, babu, not_secretfile) <=> owner_indi_has_need_to_know(owner_not_secretfile, babu, not_secretfile)),
% 0.57/0.61 inference(rewrite,[status(thm)],[])).
% 0.57/0.61 tff(128,axiom,(owner_indi_has_need_to_know(owner_not_secretfile, babu, not_secretfile)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax85')).
% 0.57/0.61 tff(129,plain,
% 0.57/0.61 (owner_indi_has_need_to_know(owner_not_secretfile, babu, not_secretfile)),
% 0.57/0.61 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.57/0.61 tff(130,plain,
% 0.57/0.61 (state_file_has_owner(not_secretfile, owner_not_secretfile) <=> state_file_has_owner(not_secretfile, owner_not_secretfile)),
% 0.57/0.61 inference(rewrite,[status(thm)],[])).
% 0.57/0.61 tff(131,axiom,(state_file_has_owner(not_secretfile, owner_not_secretfile)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax65')).
% 0.57/0.61 tff(132,plain,
% 0.57/0.61 (state_file_has_owner(not_secretfile, owner_not_secretfile)),
% 0.57/0.61 inference(modus_ponens,[status(thm)],[131, 130])).
% 0.57/0.61 tff(133,plain,
% 0.57/0.61 (^[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))))),
% 0.57/0.61 inference(bind,[status(th)],[])).
% 0.57/0.61 tff(134,plain,
% 0.57/0.61 (![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)))),
% 0.57/0.61 inference(quant_intro,[status(thm)],[133])).
% 0.57/0.61 tff(135,plain,
% 0.57/0.61 (![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)))),
% 0.57/0.61 inference(rewrite,[status(thm)],[])).
% 0.57/0.61 tff(136,plain,
% 0.57/0.61 (^[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)))))),
% 0.57/0.61 inference(bind,[status(th)],[])).
% 0.57/0.61 tff(137,plain,
% 0.57/0.61 (![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)))),
% 0.57/0.61 inference(quant_intro,[status(thm)],[136])).
% 0.57/0.61 tff(138,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')).
% 0.57/0.61 tff(139,plain,
% 0.57/0.61 (![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)))),
% 0.57/0.61 inference(modus_ponens,[status(thm)],[138, 137])).
% 0.57/0.61 tff(140,plain,
% 0.57/0.61 (![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)))),
% 0.57/0.61 inference(modus_ponens,[status(thm)],[139, 135])).
% 0.57/0.61 tff(141,plain,(
% 0.57/0.61 ![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)))),
% 0.57/0.61 inference(skolemize,[status(sab)],[140])).
% 0.57/0.61 tff(142,plain,
% 0.57/0.61 (![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)))),
% 0.57/0.61 inference(modus_ponens,[status(thm)],[141, 134])).
% 0.57/0.61 tff(143,plain,
% 0.57/0.61 (((~![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)))),
% 0.57/0.61 inference(rewrite,[status(thm)],[])).
% 0.57/0.61 tff(144,plain,
% 0.57/0.61 ((~![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)))),
% 0.57/0.61 inference(quant_inst,[status(thm)],[])).
% 0.57/0.61 tff(145,plain,
% 0.57/0.61 ((~![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))),
% 0.57/0.61 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.57/0.61 tff(146,plain,
% 0.57/0.61 (admin_indi_has_need_to_know_for_file(admin, babu, not_secretfile)),
% 0.57/0.61 inference(unit_resolution,[status(thm)],[145, 142, 132, 129])).
% 0.57/0.61 tff(147,plain,
% 0.57/0.61 ((~admin_indi_may_file(admin, babu, not_secretfile, read)) <=> (~admin_indi_may_file(admin, babu, not_secretfile, read))),
% 0.57/0.61 inference(rewrite,[status(thm)],[])).
% 0.57/0.61 tff(148,axiom,(~admin_indi_may_file(admin, babu, not_secretfile, read)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','babureadnotsecret')).
% 0.57/0.61 tff(149,plain,
% 0.57/0.61 (~admin_indi_may_file(admin, babu, not_secretfile, read)),
% 0.57/0.61 inference(modus_ponens,[status(thm)],[148, 147])).
% 0.57/0.61 tff(150,plain,
% 0.57/0.61 (state_file_is_not_working_paper(not_secretfile) <=> state_file_is_not_working_paper(not_secretfile)),
% 0.57/0.61 inference(rewrite,[status(thm)],[])).
% 0.57/0.61 tff(151,axiom,(state_file_is_not_working_paper(not_secretfile)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax61')).
% 0.57/0.61 tff(152,plain,
% 0.57/0.61 (state_file_is_not_working_paper(not_secretfile)),
% 0.57/0.61 inference(modus_ponens,[status(thm)],[151, 150])).
% 0.57/0.61 tff(153,plain,
% 0.57/0.61 (^[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))))),
% 0.57/0.62 inference(bind,[status(th)],[])).
% 0.57/0.62 tff(154,plain,
% 0.57/0.62 (![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)))),
% 0.57/0.62 inference(quant_intro,[status(thm)],[153])).
% 0.57/0.62 tff(155,plain,
% 0.57/0.62 (![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)))),
% 0.57/0.62 inference(rewrite,[status(thm)],[])).
% 0.57/0.62 tff(156,plain,
% 0.57/0.62 (^[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)))))),
% 0.57/0.62 inference(bind,[status(th)],[])).
% 0.57/0.62 tff(157,plain,
% 0.57/0.62 (![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)))),
% 0.57/0.62 inference(quant_intro,[status(thm)],[156])).
% 0.57/0.62 tff(158,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')).
% 0.57/0.62 tff(159,plain,
% 0.57/0.62 (![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)))),
% 0.57/0.62 inference(modus_ponens,[status(thm)],[158, 157])).
% 0.57/0.62 tff(160,plain,
% 0.57/0.62 (![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)))),
% 0.57/0.62 inference(modus_ponens,[status(thm)],[159, 155])).
% 0.57/0.62 tff(161,plain,(
% 0.57/0.62 ![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)))),
% 0.57/0.62 inference(skolemize,[status(sab)],[160])).
% 0.57/0.62 tff(162,plain,
% 0.57/0.62 (![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)))),
% 0.57/0.62 inference(modus_ponens,[status(thm)],[161, 154])).
% 0.57/0.62 tff(163,plain,
% 0.57/0.62 (((~![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)))),
% 0.57/0.62 inference(rewrite,[status(thm)],[])).
% 0.57/0.62 tff(164,plain,
% 0.57/0.62 ((~![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)))),
% 0.57/0.62 inference(quant_inst,[status(thm)],[])).
% 0.57/0.62 tff(165,plain,
% 0.57/0.62 ((~![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))),
% 0.57/0.62 inference(modus_ponens,[status(thm)],[164, 163])).
% 0.57/0.62 tff(166,plain,
% 0.57/0.62 ((~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))),
% 0.57/0.62 inference(unit_resolution,[status(thm)],[165, 162, 152, 149, 146])).
% 0.57/0.62 tff(167,plain,
% 0.57/0.62 ((~admin_indi_has_level_for_file(admin, babu, not_secretfile)) | (~admin_indi_has_citizenship_for_file(admin, babu, not_secretfile))),
% 0.57/0.62 inference(unit_resolution,[status(thm)],[166, 126])).
% 0.57/0.62 tff(168,plain,
% 0.57/0.62 (~admin_indi_has_level_for_file(admin, babu, not_secretfile)),
% 0.57/0.62 inference(unit_resolution,[status(thm)],[167, 101])).
% 0.57/0.62 tff(169,plain,
% 0.57/0.62 (^[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))))),
% 0.57/0.62 inference(bind,[status(th)],[])).
% 0.57/0.62 tff(170,plain,
% 0.57/0.62 (![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)))),
% 0.57/0.62 inference(quant_intro,[status(thm)],[169])).
% 0.57/0.62 tff(171,plain,
% 0.57/0.62 (![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)))),
% 0.57/0.62 inference(rewrite,[status(thm)],[])).
% 0.57/0.62 tff(172,plain,
% 0.57/0.62 (^[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)))))),
% 0.57/0.62 inference(bind,[status(th)],[])).
% 0.57/0.62 tff(173,plain,
% 0.57/0.62 (![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)))),
% 0.57/0.62 inference(quant_intro,[status(thm)],[172])).
% 0.57/0.62 tff(174,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')).
% 0.57/0.62 tff(175,plain,
% 0.57/0.62 (![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)))),
% 0.57/0.62 inference(modus_ponens,[status(thm)],[174, 173])).
% 0.57/0.62 tff(176,plain,
% 0.57/0.62 (![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)))),
% 0.57/0.62 inference(modus_ponens,[status(thm)],[175, 171])).
% 0.57/0.62 tff(177,plain,(
% 0.57/0.62 ![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)))),
% 0.57/0.62 inference(skolemize,[status(sab)],[176])).
% 0.57/0.62 tff(178,plain,
% 0.57/0.62 (![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)))),
% 0.57/0.62 inference(modus_ponens,[status(thm)],[177, 170])).
% 0.57/0.62 tff(179,plain,
% 0.57/0.62 (((~![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)))),
% 0.57/0.62 inference(rewrite,[status(thm)],[])).
% 0.57/0.62 tff(180,plain,
% 0.57/0.62 ((~![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)))),
% 0.57/0.62 inference(quant_inst,[status(thm)],[])).
% 0.57/0.62 tff(181,plain,
% 0.57/0.62 ((~![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))),
% 0.57/0.62 inference(modus_ponens,[status(thm)],[180, 179])).
% 0.57/0.62 tff(182,plain,
% 0.57/0.62 (~admin_file_has_level(admin, not_secretfile, unclassified)),
% 0.57/0.62 inference(unit_resolution,[status(thm)],[181, 178, 168, 18])).
% 0.57/0.62 tff(183,plain,
% 0.57/0.62 (system_file_needs_level(system, not_secretfile, unclassified) <=> system_file_needs_level(system, not_secretfile, unclassified)),
% 0.57/0.62 inference(rewrite,[status(thm)],[])).
% 0.57/0.62 tff(184,axiom,(system_file_needs_level(system, not_secretfile, unclassified)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','ax63')).
% 0.57/0.62 tff(185,plain,
% 0.57/0.62 (system_file_needs_level(system, not_secretfile, unclassified)),
% 0.57/0.62 inference(modus_ponens,[status(thm)],[184, 183])).
% 0.57/0.62 tff(186,plain,
% 0.57/0.62 (^[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))))),
% 0.57/0.63 inference(bind,[status(th)],[])).
% 0.57/0.63 tff(187,plain,
% 0.57/0.63 (![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)))),
% 0.57/0.63 inference(quant_intro,[status(thm)],[186])).
% 0.57/0.63 tff(188,plain,
% 0.57/0.63 (![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)))),
% 0.59/0.63 inference(rewrite,[status(thm)],[])).
% 0.59/0.63 tff(189,plain,
% 0.59/0.63 (^[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)))))),
% 0.59/0.63 inference(bind,[status(th)],[])).
% 0.59/0.63 tff(190,plain,
% 0.59/0.63 (![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)))),
% 0.59/0.63 inference(quant_intro,[status(thm)],[189])).
% 0.59/0.63 tff(191,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')).
% 0.59/0.63 tff(192,plain,
% 0.59/0.63 (![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)))),
% 0.59/0.63 inference(modus_ponens,[status(thm)],[191, 190])).
% 0.59/0.63 tff(193,plain,
% 0.59/0.63 (![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)))),
% 0.59/0.63 inference(modus_ponens,[status(thm)],[192, 188])).
% 0.59/0.63 tff(194,plain,(
% 0.59/0.63 ![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)))),
% 0.59/0.63 inference(skolemize,[status(sab)],[193])).
% 0.59/0.63 tff(195,plain,
% 0.59/0.63 (![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)))),
% 0.59/0.63 inference(modus_ponens,[status(thm)],[194, 187])).
% 0.59/0.63 tff(196,plain,
% 0.59/0.63 (((~![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_h(admin, not_secretfile, unclassified, nil)) | admin_file_has_level(admin, not_secretfile, unclassified) | (~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_level_h(admin, not_secretfile, unclassified, nil)) | admin_file_has_level(admin, not_secretfile, unclassified) | (~admin_file_has_compartments(admin, not_secretfile, nil)) | (~system_file_needs_level(system, not_secretfile, unclassified)))),
% 0.59/0.63 inference(rewrite,[status(thm)],[])).
% 0.59/0.63 tff(197,plain,
% 0.59/0.63 ((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_level_h(admin, not_secretfile, unclassified, nil)) | admin_file_has_level(admin, not_secretfile, unclassified) | (~admin_file_has_compartments(admin, not_secretfile, nil)) | (~system_file_needs_level(system, not_secretfile, unclassified)))),
% 0.59/0.63 inference(rewrite,[status(thm)],[])).
% 0.59/0.63 tff(198,plain,
% 0.59/0.63 (((~![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_level_h(admin, not_secretfile, unclassified, nil)) | admin_file_has_level(admin, not_secretfile, unclassified) | (~admin_file_has_compartments(admin, not_secretfile, nil)) | (~system_file_needs_level(system, not_secretfile, unclassified))))),
% 0.59/0.63 inference(monotonicity,[status(thm)],[197])).
% 0.59/0.63 tff(199,plain,
% 0.59/0.63 (((~![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_level_h(admin, not_secretfile, unclassified, nil)) | admin_file_has_level(admin, not_secretfile, unclassified) | (~admin_file_has_compartments(admin, not_secretfile, nil)) | (~system_file_needs_level(system, not_secretfile, unclassified)))),
% 0.59/0.63 inference(transitivity,[status(thm)],[198, 196])).
% 0.59/0.63 tff(200,plain,
% 0.59/0.63 ((~![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)))),
% 0.59/0.64 inference(quant_inst,[status(thm)],[])).
% 0.59/0.64 tff(201,plain,
% 0.59/0.64 ((~![F: $i, L: $i, CL: $i] : (admin_file_has_level(admin, F, L) | (~admin_file_has_level_h(admin, F, L, CL)) | (~admin_file_has_compartments(admin, F, CL)) | (~system_file_needs_level(system, F, L)))) | (~admin_file_has_level_h(admin, not_secretfile, unclassified, nil)) | admin_file_has_level(admin, not_secretfile, unclassified) | (~admin_file_has_compartments(admin, not_secretfile, nil)) | (~system_file_needs_level(system, not_secretfile, unclassified))),
% 0.59/0.64 inference(modus_ponens,[status(thm)],[200, 199])).
% 0.59/0.64 tff(202,plain,
% 0.59/0.64 ($false),
% 0.59/0.64 inference(unit_resolution,[status(thm)],[201, 195, 185, 56, 182, 9])).
% 0.59/0.64 % SZS output end Proof
%------------------------------------------------------------------------------