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Leo-III---1.8.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SWV437+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 08:59:27 AM UTC 2026

% Result   : Theorem 4.02s 1.81s
% Output   : Refutation 4.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   88
% Syntax   : Number of formulae    :  178 ( 120 unt;   0 typ;   0 def)
%            Number of atoms       :  354 (   0 equ;   0 cnn)
%            Maximal formula atoms :   11 (   1 avg)
%            Number of connectives : 1282 (   2   ~;   0   |;   0   &;1104   @)
%                                         (   0 <=>; 176  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   90 (  89 usr;  34 con; 0-6 aty)
%            Number of variables   :  258 (   0   ^; 258   !;   0   ?; 258   :)

% Comments : 
%------------------------------------------------------------------------------
thf(admin_indi_may_file_decl,type,
    admin_indi_may_file: $i > $i > $i > $i > $o ).

thf(admin_decl,type,
    admin: $i ).

thf(alice_decl,type,
    alice: $i ).

thf(secretfile_decl,type,
    secretfile: $i ).

thf(read_decl,type,
    read: $i ).

thf(loca_level_direct_below_decl,type,
    loca_level_direct_below: $i > $i > $i > $o ).

thf(sbu_decl,type,
    sbu: $i ).

thf(confidential_decl,type,
    confidential: $i ).

thf(unclassified_decl,type,
    unclassified: $i ).

thf(oca_compartment_is_compartment_decl,type,
    oca_compartment_is_compartment: $i > $i > $i > $i > $i > $i > $o ).

thf(oca_decl,type,
    oca: $i ).

thf(compartmenta_decl,type,
    compartmenta: $i ).

thf(no_decl,type,
    no: $i ).

thf(system_indi_has_citizenship_decl,type,
    system_indi_has_citizenship: $i > $i > $i > $o ).

thf(system_decl,type,
    system: $i ).

thf(babu_decl,type,
    babu: $i ).

thf(india_decl,type,
    india: $i ).

thf(loca_level_below_decl,type,
    loca_level_below: $i > $i > $i > $o ).

thf(state_file_is_not_working_paper_decl,type,
    state_file_is_not_working_paper: $i > $o ).

thf(not_secretfile_decl,type,
    not_secretfile: $i ).

thf(system_indi_is_hr_admin_decl,type,
    system_indi_is_hr_admin: $i > $i > $o ).

thf(hr_admin_decl,type,
    hr_admin: $i ).

thf(system_indi_is_credit_admin_decl,type,
    system_indi_is_credit_admin: $i > $i > $o ).

thf(credit_admin_decl,type,
    credit_admin: $i ).

thf(system_indi_is_level_admin_decl,type,
    system_indi_is_level_admin: $i > $i > $o ).

thf(level_admin_decl,type,
    level_admin: $i ).

thf(system_indi_is_polygraph_admin_decl,type,
    system_indi_is_polygraph_admin: $i > $i > $o ).

thf(polygraph_admin_decl,type,
    polygraph_admin: $i ).

thf(system_file_needs_compartments_decl,type,
    system_file_needs_compartments: $i > $i > $i > $o ).

thf(nil_decl,type,
    nil: $i ).

thf(owner_indi_has_need_to_know_decl,type,
    owner_indi_has_need_to_know: $i > $i > $i > $o ).

thf(owner_not_secretfile_decl,type,
    owner_not_secretfile: $i ).

thf(system_indi_is_counterintelligence_decl,type,
    system_indi_is_counterintelligence: $i > $i > $i > $o ).

thf(ci_decl,type,
    ci: $i ).

thf(owner_secretfile_decl,type,
    owner_secretfile: $i ).

thf(sso_compartment_has_scg_decl,type,
    sso_compartment_has_scg: $i > $i > $i > $o ).

thf(sso_compartmenta_decl,type,
    sso_compartmenta: $i ).

thf(scg_compartmenta_decl,type,
    scg_compartmenta: $i ).

thf(system_compartment_has_sso_decl,type,
    system_compartment_has_sso: $i > $i > $i > $o ).

thf(compartmentb_decl,type,
    compartmentb: $i ).

thf(sso_compartmentb_decl,type,
    sso_compartmentb: $i ).

thf(state_file_has_owner_decl,type,
    state_file_has_owner: $i > $i > $o ).

thf(secret_decl,type,
    secret: $i ).

thf(topsecret_decl,type,
    topsecret: $i ).

thf(oca_compartment_has_scg_decl,type,
    oca_compartment_has_scg: $i > $i > $i > $o ).

thf(scg_compartmentb_decl,type,
    scg_compartmentb: $i ).

thf(system_file_needs_citizenship_decl,type,
    system_file_needs_citizenship: $i > $i > $i > $o ).

thf(anycountry_decl,type,
    anycountry: $i ).

thf(system_indi_is_oca_decl,type,
    system_indi_is_oca: $i > $i > $o ).

thf(system_file_needs_level_decl,type,
    system_file_needs_level: $i > $i > $i > $o ).

thf(system_indi_is_background_admin_decl,type,
    system_indi_is_background_admin: $i > $i > $o ).

thf(background_admin_decl,type,
    background_admin: $i ).

thf(yes_decl,type,
    yes: $i ).

thf(system_indi_needs_compartment_decl,type,
    system_indi_needs_compartment: $i > $i > $i > $o ).

thf(admin_file_has_level_h_decl,type,
    admin_file_has_level_h: $i > $i > $i > $i > $o ).

thf(sso_file_has_compartments_decl,type,
    sso_file_has_compartments: $i > $i > $i > $o ).

thf(cons_decl,type,
    cons: $i > $i > $i ).

thf(system_indi_needs_level_decl,type,
    system_indi_needs_level: $i > $i > $i > $o ).

thf(credit_admin_indi_has_credit_decl,type,
    credit_admin_indi_has_credit: $i > $i > $o ).

thf(admin_indi_has_credit_decl,type,
    admin_indi_has_credit: $i > $i > $o ).

thf(sso_file_has_level_decl,type,
    sso_file_has_level: $i > $i > $i > $i > $o ).

thf(admin_file_has_compartments_decl,type,
    admin_file_has_compartments: $i > $i > $i > $o ).

thf(admin_indi_has_compartments_decl,type,
    admin_indi_has_compartments: $i > $i > $i > $o ).

thf(admin_indi_has_compartments_for_file_decl,type,
    admin_indi_has_compartments_for_file: $i > $i > $i > $o ).

thf(admin_file_has_citizenship_decl,type,
    admin_file_has_citizenship: $i > $i > $i > $o ).

thf(admin_indi_has_citizenship_decl,type,
    admin_indi_has_citizenship: $i > $i > $i > $o ).

thf(admin_indi_has_citizenship_for_file_decl,type,
    admin_indi_has_citizenship_for_file: $i > $i > $i > $o ).

thf(admin_indi_has_employment_decl,type,
    admin_indi_has_employment: $i > $i > $o ).

thf(usa_decl,type,
    usa: $i ).

thf(admin_indi_has_polygraph_for_compartment_decl,type,
    admin_indi_has_polygraph_for_compartment: $i > $i > $i > $o ).

thf(admin_indi_has_credit_for_compartment_decl,type,
    admin_indi_has_credit_for_compartment: $i > $i > $i > $o ).

thf(admin_compartment_has_sso_decl,type,
    admin_compartment_has_sso: $i > $i > $i > $o ).

thf(sso_indi_has_compartment_decl,type,
    sso_indi_has_compartment: $i > $i > $i > $o ).

thf(admin_indi_has_background_for_compartment_decl,type,
    admin_indi_has_background_for_compartment: $i > $i > $i > $o ).

thf(admin_indi_has_level_for_compartment_decl,type,
    admin_indi_has_level_for_compartment: $i > $i > $i > $o ).

thf(hr_admin_indi_has_employment_decl,type,
    hr_admin_indi_has_employment: $i > $i > $o ).

thf(admin_file_has_citizenship_h_decl,type,
    admin_file_has_citizenship_h: $i > $i > $i > $i > $o ).

thf(admin_indi_has_level_decl,type,
    admin_indi_has_level: $i > $i > $i > $o ).

thf(level_admin_indi_has_level_decl,type,
    level_admin_indi_has_level: $i > $i > $i > $o ).

thf(admin_file_has_level_decl,type,
    admin_file_has_level: $i > $i > $i > $o ).

thf(admin_file_has_compartments_h_decl,type,
    admin_file_has_compartments_h: $i > $i > $i > $i > $o ).

thf(admin_compartment_has_scg_decl,type,
    admin_compartment_has_scg: $i > $i > $i > $o ).

thf(sso_file_has_citizenship_decl,type,
    sso_file_has_citizenship: $i > $i > $i > $i > $o ).

thf(background_admin_indi_has_background_decl,type,
    background_admin_indi_has_background: $i > $i > $i > $o ).

thf(polygraph_admin_indi_has_polygraph_decl,type,
    polygraph_admin_indi_has_polygraph: $i > $i > $o ).

thf(admin_indi_has_polygraph_decl,type,
    admin_indi_has_polygraph: $i > $i > $o ).

thf(admin_indi_has_background_decl,type,
    admin_indi_has_background: $i > $i > $i > $o ).

thf(admin_indi_has_need_to_know_for_file_decl,type,
    admin_indi_has_need_to_know_for_file: $i > $i > $i > $o ).

thf(admin_indi_has_level_for_file_decl,type,
    admin_indi_has_level_for_file: $i > $i > $i > $o ).

thf(10,axiom,
    credit_admin @ ( system @ system_indi_is_credit_admin ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).

thf(101,plain,
    credit_admin @ ( system @ system_indi_is_credit_admin ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(41,axiom,
    compartmentb @ ( alice @ ( sso_compartmentb @ sso_indi_has_compartment ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).

thf(142,plain,
    compartmentb @ ( alice @ ( sso_compartmentb @ sso_indi_has_compartment ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(4,axiom,
    ! [A: $i] : ( sbu @ ( unclassified @ ( A @ loca_level_direct_below ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax0) ).

thf(93,plain,
    ! [A: $i] : ( sbu @ ( unclassified @ ( A @ loca_level_direct_below ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(34,axiom,
    secret @ ( alice @ ( system @ system_indi_needs_level ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).

thf(129,plain,
    secret @ ( alice @ ( system @ system_indi_needs_level ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(45,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( C @ ( system @ system_indi_is_oca ) )
     => ( ( F @ ( no @ ( E @ ( D @ ( B @ ( C @ oca_compartment_is_compartment ) ) ) ) ) )
       => ( B @ ( A @ ( admin @ admin_indi_has_credit_for_compartment ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).

thf(148,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( C @ ( system @ system_indi_is_oca ) )
     => ( ( F @ ( no @ ( E @ ( D @ ( B @ ( C @ oca_compartment_is_compartment ) ) ) ) ) )
       => ( B @ ( A @ ( admin @ admin_indi_has_credit_for_compartment ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(24,axiom,
    scg_compartmenta @ ( compartmenta @ ( oca @ oca_compartment_has_scg ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).

thf(118,plain,
    scg_compartmenta @ ( compartmenta @ ( oca @ oca_compartment_has_scg ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(59,axiom,
    scg_compartmenta @ ( secret @ ( secretfile @ ( sso_compartmenta @ sso_file_has_level ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).

thf(181,plain,
    scg_compartmenta @ ( secret @ ( secretfile @ ( sso_compartmenta @ sso_file_has_level ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(5,axiom,
    no @ ( no @ ( unclassified @ ( sbu @ ( compartmenta @ ( oca @ oca_compartment_is_compartment ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).

thf(95,plain,
    no @ ( no @ ( unclassified @ ( sbu @ ( compartmenta @ ( oca @ oca_compartment_is_compartment ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(60,axiom,
    nil @ ( compartmenta @ cons ) @ ( compartmentb @ cons ) @ ( secretfile @ ( sso_compartmenta @ sso_file_has_compartments ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).

thf(182,plain,
    nil @ ( compartmenta @ cons ) @ ( compartmentb @ cons ) @ ( secretfile @ ( sso_compartmenta @ sso_file_has_compartments ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(58,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( E @ ( C @ ( admin @ admin_compartment_has_sso ) ) )
     => ( ( F @ ( C @ ( admin @ admin_compartment_has_scg ) ) )
       => ( ( F @ ( B @ ( A @ ( E @ sso_file_has_citizenship ) ) ) )
         => ( ( D @ ( B @ ( A @ ( admin @ admin_file_has_citizenship_h ) ) ) )
           => ( D @ ( C @ cons ) @ ( B @ ( A @ ( admin @ admin_file_has_citizenship_h ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

thf(178,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( E @ ( C @ ( admin @ admin_compartment_has_sso ) ) )
     => ( ( F @ ( C @ ( admin @ admin_compartment_has_scg ) ) )
       => ( ( F @ ( B @ ( A @ ( E @ sso_file_has_citizenship ) ) ) )
         => ( ( D @ ( B @ ( A @ ( admin @ admin_file_has_citizenship_h ) ) ) )
           => ( D @ ( C @ cons ) @ ( B @ ( A @ ( admin @ admin_file_has_citizenship_h ) ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(22,axiom,
    ! [A: $i] : ( secret @ ( confidential @ ( A @ loca_level_direct_below ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

thf(115,plain,
    ! [A: $i] : ( secret @ ( confidential @ ( A @ loca_level_direct_below ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(79,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( system @ system_indi_is_polygraph_admin ) )
     => ( ( A @ ( B @ polygraph_admin_indi_has_polygraph ) )
       => ( A @ ( admin @ admin_indi_has_polygraph ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

thf(217,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( system @ system_indi_is_polygraph_admin ) )
     => ( ( A @ ( B @ polygraph_admin_indi_has_polygraph ) )
       => ( A @ ( admin @ admin_indi_has_polygraph ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).

thf(26,axiom,
    oca @ ( system @ system_indi_is_oca ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).

thf(120,plain,
    oca @ ( system @ system_indi_is_oca ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(56,axiom,
    compartmenta @ ( alice @ ( system @ system_indi_needs_compartment ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).

thf(174,plain,
    compartmenta @ ( alice @ ( system @ system_indi_needs_compartment ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(62,axiom,
    topsecret @ ( alice @ ( background_admin @ background_admin_indi_has_background ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).

thf(185,plain,
    topsecret @ ( alice @ ( background_admin @ background_admin_indi_has_background ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(19,axiom,
    ! [A: $i] : ( topsecret @ ( secret @ ( A @ loca_level_direct_below ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

thf(110,plain,
    ! [A: $i] : ( topsecret @ ( secret @ ( A @ loca_level_direct_below ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(31,axiom,
    compartmentb @ ( alice @ ( system @ system_indi_needs_compartment ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).

thf(125,plain,
    compartmentb @ ( alice @ ( system @ system_indi_needs_compartment ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(15,axiom,
    owner_secretfile @ ( ci @ ( system @ system_indi_is_counterintelligence ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).

thf(106,plain,
    owner_secretfile @ ( ci @ ( system @ system_indi_is_counterintelligence ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(27,axiom,
    unclassified @ ( not_secretfile @ ( system @ system_file_needs_level ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).

thf(121,plain,
    unclassified @ ( not_secretfile @ ( system @ system_file_needs_level ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(44,axiom,
    secret @ ( secretfile @ ( system @ system_file_needs_level ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).

thf(147,plain,
    secret @ ( secretfile @ ( system @ system_file_needs_level ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(82,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ ( admin @ admin_file_has_level ) ) )
     => ( ( C @ ( A @ ( admin @ admin_indi_has_level ) ) )
       => ( B @ ( A @ ( admin @ admin_indi_has_level_for_file ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).

thf(221,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ ( admin @ admin_file_has_level ) ) )
     => ( ( C @ ( A @ ( admin @ admin_indi_has_level ) ) )
       => ( B @ ( A @ ( admin @ admin_indi_has_level_for_file ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).

thf(36,axiom,
    scg_compartmentb @ ( secret @ ( secretfile @ ( sso_compartmentb @ sso_file_has_level ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).

thf(132,plain,
    scg_compartmentb @ ( secret @ ( secretfile @ ( sso_compartmentb @ sso_file_has_level ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(37,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ ( admin @ admin_file_has_compartments ) ) )
     => ( ( C @ ( A @ ( admin @ admin_indi_has_compartments ) ) )
       => ( B @ ( A @ ( admin @ admin_indi_has_compartments_for_file ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).

thf(133,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ ( admin @ admin_file_has_compartments ) ) )
     => ( ( C @ ( A @ ( admin @ admin_indi_has_compartments ) ) )
       => ( B @ ( A @ ( admin @ admin_indi_has_compartments_for_file ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(72,axiom,
    ! [A: $i] : ( nil @ ( A @ ( admin @ admin_indi_has_compartments ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

thf(206,plain,
    ! [A: $i] : ( nil @ ( A @ ( admin @ admin_indi_has_compartments ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).

thf(23,axiom,
    sso_compartmenta @ ( compartmenta @ ( system @ system_compartment_has_sso ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).

thf(117,plain,
    sso_compartmenta @ ( compartmenta @ ( system @ system_compartment_has_sso ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(70,axiom,
    ! [A: $i] : ( unclassified @ ( A @ ( admin @ admin_indi_has_background ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).

thf(201,plain,
    ! [A: $i] : ( unclassified @ ( A @ ( admin @ admin_indi_has_background ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).

thf(81,axiom,
    secretfile @ state_file_is_not_working_paper,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).

thf(220,plain,
    secretfile @ state_file_is_not_working_paper,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).

thf(11,axiom,
    level_admin @ ( system @ system_indi_is_level_admin ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).

thf(102,plain,
    level_admin @ ( system @ system_indi_is_level_admin ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(50,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( E @ ( C @ ( admin @ admin_compartment_has_sso ) ) )
     => ( ( B @ ( A @ ( E @ sso_file_has_compartments ) ) )
       => ( ( D @ ( B @ ( A @ ( admin @ admin_file_has_compartments_h ) ) ) )
         => ( D @ ( C @ cons ) @ ( B @ ( A @ ( admin @ admin_file_has_compartments_h ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).

thf(160,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( E @ ( C @ ( admin @ admin_compartment_has_sso ) ) )
     => ( ( B @ ( A @ ( E @ sso_file_has_compartments ) ) )
       => ( ( D @ ( B @ ( A @ ( admin @ admin_file_has_compartments_h ) ) ) )
         => ( D @ ( C @ cons ) @ ( B @ ( A @ ( admin @ admin_file_has_compartments_h ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(66,axiom,
    scg_compartmenta @ ( usa @ ( secretfile @ ( sso_compartmenta @ sso_file_has_citizenship ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).

thf(192,plain,
    scg_compartmenta @ ( usa @ ( secretfile @ ( sso_compartmenta @ sso_file_has_citizenship ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).

thf(39,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( B @ ( A @ ( system @ system_indi_needs_compartment ) ) )
     => ( ( A @ ( admin @ admin_indi_has_employment ) )
       => ( ( usa @ ( A @ ( admin @ admin_indi_has_citizenship ) ) )
         => ( ( B @ ( A @ ( admin @ admin_indi_has_polygraph_for_compartment ) ) )
           => ( ( B @ ( A @ ( admin @ admin_indi_has_credit_for_compartment ) ) )
             => ( ( D @ ( B @ ( admin @ admin_compartment_has_sso ) ) )
               => ( ( B @ ( A @ ( D @ sso_indi_has_compartment ) ) )
                 => ( ( B @ ( A @ ( admin @ admin_indi_has_background_for_compartment ) ) )
                   => ( ( B @ ( A @ ( admin @ admin_indi_has_level_for_compartment ) ) )
                     => ( ( C @ ( A @ ( admin @ admin_indi_has_compartments ) ) )
                       => ( C @ ( B @ cons ) @ ( A @ ( admin @ admin_indi_has_compartments ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).

thf(137,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( B @ ( A @ ( system @ system_indi_needs_compartment ) ) )
     => ( ( A @ ( admin @ admin_indi_has_employment ) )
       => ( ( usa @ ( A @ ( admin @ admin_indi_has_citizenship ) ) )
         => ( ( B @ ( A @ ( admin @ admin_indi_has_polygraph_for_compartment ) ) )
           => ( ( B @ ( A @ ( admin @ admin_indi_has_credit_for_compartment ) ) )
             => ( ( D @ ( B @ ( admin @ admin_compartment_has_sso ) ) )
               => ( ( B @ ( A @ ( D @ sso_indi_has_compartment ) ) )
                 => ( ( B @ ( A @ ( admin @ admin_indi_has_background_for_compartment ) ) )
                   => ( ( B @ ( A @ ( admin @ admin_indi_has_level_for_compartment ) ) )
                     => ( ( C @ ( A @ ( admin @ admin_indi_has_compartments ) ) )
                       => ( C @ ( B @ cons ) @ ( A @ ( admin @ admin_indi_has_compartments ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(52,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( C @ ( system @ system_indi_is_oca ) )
     => ( ( F @ ( yes @ ( E @ ( D @ ( B @ ( C @ oca_compartment_is_compartment ) ) ) ) ) )
       => ( ( A @ ( admin @ admin_indi_has_credit ) )
         => ( B @ ( A @ ( admin @ admin_indi_has_credit_for_compartment ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).

thf(165,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( C @ ( system @ system_indi_is_oca ) )
     => ( ( F @ ( yes @ ( E @ ( D @ ( B @ ( C @ oca_compartment_is_compartment ) ) ) ) ) )
       => ( ( A @ ( admin @ admin_indi_has_credit ) )
         => ( B @ ( A @ ( admin @ admin_indi_has_credit_for_compartment ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(7,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( D @ ( C @ ( A @ loca_level_direct_below ) ) )
     => ( ( C @ ( B @ ( A @ loca_level_below ) ) )
       => ( D @ ( B @ ( A @ loca_level_below ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

thf(97,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( D @ ( C @ ( A @ loca_level_direct_below ) ) )
     => ( ( C @ ( B @ ( A @ loca_level_below ) ) )
       => ( D @ ( B @ ( A @ loca_level_below ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(84,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ ( system @ system_indi_has_citizenship ) ) )
     => ( B @ ( A @ ( admin @ admin_indi_has_citizenship ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).

thf(224,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ ( system @ system_indi_has_citizenship ) ) )
     => ( B @ ( A @ ( admin @ admin_indi_has_citizenship ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).

thf(18,axiom,
    owner_not_secretfile @ ( not_secretfile @ state_file_has_owner ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).

thf(109,plain,
    owner_not_secretfile @ ( not_secretfile @ state_file_has_owner ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(30,axiom,
    yes @ ( yes @ ( topsecret @ ( confidential @ ( compartmentb @ ( oca @ oca_compartment_is_compartment ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).

thf(124,plain,
    yes @ ( yes @ ( topsecret @ ( confidential @ ( compartmentb @ ( oca @ oca_compartment_is_compartment ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(67,axiom,
    ! [A: $i] : ( unclassified @ ( A @ ( admin @ admin_indi_has_level ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).

thf(193,plain,
    ! [A: $i] : ( unclassified @ ( A @ ( admin @ admin_indi_has_level ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).

thf(75,axiom,
    compartmenta @ ( alice @ ( sso_compartmenta @ sso_indi_has_compartment ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).

thf(212,plain,
    compartmenta @ ( alice @ ( sso_compartmenta @ sso_indi_has_compartment ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).

thf(6,axiom,
    india @ ( babu @ ( system @ system_indi_has_citizenship ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).

thf(96,plain,
    india @ ( babu @ ( system @ system_indi_has_citizenship ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(33,axiom,
    nil @ ( compartmenta @ cons ) @ ( compartmentb @ cons ) @ ( secretfile @ ( sso_compartmentb @ sso_file_has_compartments ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).

thf(128,plain,
    nil @ ( compartmenta @ cons ) @ ( compartmentb @ cons ) @ ( secretfile @ ( sso_compartmentb @ sso_file_has_compartments ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(14,axiom,
    not_secretfile @ ( babu @ ( owner_not_secretfile @ owner_indi_has_need_to_know ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).

thf(105,plain,
    not_secretfile @ ( babu @ ( owner_not_secretfile @ owner_indi_has_need_to_know ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(64,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( C @ ( A @ ( system @ system_indi_needs_level ) ) )
     => ( ( usa @ ( A @ ( admin @ admin_indi_has_citizenship ) ) )
       => ( ( A @ ( admin @ admin_indi_has_polygraph ) )
         => ( ( A @ ( admin @ admin_indi_has_employment ) )
           => ( ( A @ ( admin @ admin_indi_has_credit ) )
             => ( ( C @ ( B @ ( admin @ loca_level_below ) ) )
               => ( ( D @ ( system @ system_indi_is_level_admin ) )
                 => ( ( E @ ( A @ ( D @ level_admin_indi_has_level ) ) )
                   => ( ( E @ ( B @ ( admin @ loca_level_below ) ) )
                     => ( ( B @ ( A @ ( admin @ admin_indi_has_background ) ) )
                       => ( B @ ( A @ ( admin @ admin_indi_has_level ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).

thf(187,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( C @ ( A @ ( system @ system_indi_needs_level ) ) )
     => ( ( usa @ ( A @ ( admin @ admin_indi_has_citizenship ) ) )
       => ( ( A @ ( admin @ admin_indi_has_polygraph ) )
         => ( ( A @ ( admin @ admin_indi_has_employment ) )
           => ( ( A @ ( admin @ admin_indi_has_credit ) )
             => ( ( C @ ( B @ ( admin @ loca_level_below ) ) )
               => ( ( D @ ( system @ system_indi_is_level_admin ) )
                 => ( ( E @ ( A @ ( D @ level_admin_indi_has_level ) ) )
                   => ( ( E @ ( B @ ( admin @ loca_level_below ) ) )
                     => ( ( B @ ( A @ ( admin @ admin_indi_has_background ) ) )
                       => ( B @ ( A @ ( admin @ admin_indi_has_level ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).

thf(55,axiom,
    ! [A: $i] : ( anycountry @ ( A @ ( admin @ admin_indi_has_citizenship ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).

thf(172,plain,
    ! [A: $i] : ( anycountry @ ( A @ ( admin @ admin_indi_has_citizenship ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(21,axiom,
    ! [A: $i,B: $i] : ( B @ ( B @ ( A @ loca_level_below ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

thf(113,plain,
    ! [A: $i,B: $i] : ( B @ ( B @ ( A @ loca_level_below ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(80,axiom,
    scg_compartmentb @ ( usa @ ( secretfile @ ( sso_compartmentb @ sso_file_has_citizenship ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).

thf(219,plain,
    scg_compartmentb @ ( usa @ ( secretfile @ ( sso_compartmentb @ sso_file_has_citizenship ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).

thf(87,axiom,
    owner_secretfile @ ( secretfile @ state_file_has_owner ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).

thf(230,plain,
    owner_secretfile @ ( secretfile @ state_file_has_owner ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).

thf(73,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ state_file_is_not_working_paper )
     => ( ( B @ ( A @ ( admin @ admin_indi_has_citizenship_for_file ) ) )
       => ( ( B @ ( A @ ( admin @ admin_indi_has_need_to_know_for_file ) ) )
         => ( ( B @ ( A @ ( admin @ admin_indi_has_level_for_file ) ) )
           => ( ( B @ ( A @ ( admin @ admin_indi_has_compartments_for_file ) ) )
             => ( read @ ( B @ ( A @ ( admin @ admin_indi_may_file ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).

thf(208,plain,
    ! [A: $i,B: $i] :
      ( ( B @ state_file_is_not_working_paper )
     => ( ( B @ ( A @ ( admin @ admin_indi_has_citizenship_for_file ) ) )
       => ( ( B @ ( A @ ( admin @ admin_indi_has_need_to_know_for_file ) ) )
         => ( ( B @ ( A @ ( admin @ admin_indi_has_level_for_file ) ) )
           => ( ( B @ ( A @ ( admin @ admin_indi_has_compartments_for_file ) ) )
             => ( read @ ( B @ ( A @ ( admin @ admin_indi_may_file ) ) ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).

thf(12,axiom,
    polygraph_admin @ ( system @ system_indi_is_polygraph_admin ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).

thf(103,plain,
    polygraph_admin @ ( system @ system_indi_is_polygraph_admin ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(40,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( system @ system_indi_is_hr_admin ) )
     => ( ( A @ ( B @ hr_admin_indi_has_employment ) )
       => ( A @ ( admin @ admin_indi_has_employment ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).

thf(140,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( system @ system_indi_is_hr_admin ) )
     => ( ( A @ ( B @ hr_admin_indi_has_employment ) )
       => ( A @ ( admin @ admin_indi_has_employment ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(76,axiom,
    secretfile @ ( alice @ ( owner_secretfile @ owner_indi_has_need_to_know ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).

thf(213,plain,
    secretfile @ ( alice @ ( owner_secretfile @ owner_indi_has_need_to_know ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).

thf(3,axiom,
    ! [A: $i] : ( confidential @ ( sbu @ ( A @ loca_level_direct_below ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

thf(91,plain,
    ! [A: $i] : ( confidential @ ( sbu @ ( A @ loca_level_direct_below ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(48,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( B @ ( A @ ( system @ system_file_needs_level ) ) )
     => ( ( C @ ( A @ ( admin @ admin_file_has_compartments ) ) )
       => ( ( C @ ( B @ ( A @ ( admin @ admin_file_has_level_h ) ) ) )
         => ( B @ ( A @ ( admin @ admin_file_has_level ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

thf(155,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( B @ ( A @ ( system @ system_file_needs_level ) ) )
     => ( ( C @ ( A @ ( admin @ admin_file_has_compartments ) ) )
       => ( ( C @ ( B @ ( A @ ( admin @ admin_file_has_level_h ) ) ) )
         => ( B @ ( A @ ( admin @ admin_file_has_level ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(69,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( C @ ( system @ system_indi_is_background_admin ) )
     => ( ( D @ ( A @ ( C @ background_admin_indi_has_background ) ) )
       => ( ( D @ ( B @ ( admin @ loca_level_below ) ) )
         => ( B @ ( A @ ( admin @ admin_indi_has_background ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

thf(198,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( C @ ( system @ system_indi_is_background_admin ) )
     => ( ( D @ ( A @ ( C @ background_admin_indi_has_background ) ) )
       => ( ( D @ ( B @ ( admin @ loca_level_below ) ) )
         => ( B @ ( A @ ( admin @ admin_indi_has_background ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).

thf(17,axiom,
    sso_compartmentb @ ( compartmentb @ ( system @ system_compartment_has_sso ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).

thf(108,plain,
    sso_compartmentb @ ( compartmentb @ ( system @ system_compartment_has_sso ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(35,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( system @ system_indi_is_credit_admin ) )
     => ( ( A @ ( B @ credit_admin_indi_has_credit ) )
       => ( A @ ( admin @ admin_indi_has_credit ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).

thf(130,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( system @ system_indi_is_credit_admin ) )
     => ( ( A @ ( B @ credit_admin_indi_has_credit ) )
       => ( A @ ( admin @ admin_indi_has_credit ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(83,axiom,
    alice @ ( credit_admin @ credit_admin_indi_has_credit ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).

thf(223,plain,
    alice @ ( credit_admin @ credit_admin_indi_has_credit ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).

thf(38,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ ( admin @ admin_file_has_citizenship ) ) )
     => ( ( C @ ( A @ ( admin @ admin_indi_has_citizenship ) ) )
       => ( B @ ( A @ ( admin @ admin_indi_has_citizenship_for_file ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).

thf(135,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ ( admin @ admin_file_has_citizenship ) ) )
     => ( ( C @ ( A @ ( admin @ admin_indi_has_citizenship ) ) )
       => ( B @ ( A @ ( admin @ admin_indi_has_citizenship_for_file ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(85,axiom,
    alice @ ( hr_admin @ hr_admin_indi_has_employment ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).

thf(226,plain,
    alice @ ( hr_admin @ hr_admin_indi_has_employment ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).

thf(51,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( C @ ( system @ system_indi_is_oca ) )
     => ( ( no @ ( F @ ( E @ ( D @ ( B @ ( C @ oca_compartment_is_compartment ) ) ) ) ) )
       => ( B @ ( A @ ( admin @ admin_indi_has_polygraph_for_compartment ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).

thf(162,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( C @ ( system @ system_indi_is_oca ) )
     => ( ( no @ ( F @ ( E @ ( D @ ( B @ ( C @ oca_compartment_is_compartment ) ) ) ) ) )
       => ( B @ ( A @ ( admin @ admin_indi_has_polygraph_for_compartment ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(20,axiom,
    scg_compartmentb @ ( compartmentb @ ( oca @ oca_compartment_has_scg ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).

thf(112,plain,
    scg_compartmentb @ ( compartmentb @ ( oca @ oca_compartment_has_scg ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(29,axiom,
    background_admin @ ( system @ system_indi_is_background_admin ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).

thf(123,plain,
    background_admin @ ( system @ system_indi_is_background_admin ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(47,axiom,
    topsecret @ ( alice @ ( level_admin @ level_admin_indi_has_level ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).

thf(154,plain,
    topsecret @ ( alice @ ( level_admin @ level_admin_indi_has_level ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(57,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( A @ ( system @ system_indi_is_oca ) )
     => ( ( D @ ( B @ ( A @ oca_compartment_has_scg ) ) )
       => ( ( C @ ( B @ ( admin @ admin_compartment_has_sso ) ) )
         => ( ( D @ ( B @ ( C @ sso_compartment_has_scg ) ) )
           => ( D @ ( B @ ( admin @ admin_compartment_has_scg ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

thf(175,plain,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( A @ ( system @ system_indi_is_oca ) )
     => ( ( D @ ( B @ ( A @ oca_compartment_has_scg ) ) )
       => ( ( C @ ( B @ ( admin @ admin_compartment_has_sso ) ) )
         => ( ( D @ ( B @ ( C @ sso_compartment_has_scg ) ) )
           => ( D @ ( B @ ( admin @ admin_compartment_has_scg ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(42,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( B @ ( A @ ( system @ system_file_needs_citizenship ) ) )
     => ( ( C @ ( A @ ( admin @ admin_file_has_compartments ) ) )
       => ( ( C @ ( B @ ( A @ ( admin @ admin_file_has_citizenship_h ) ) ) )
         => ( B @ ( A @ ( admin @ admin_file_has_citizenship ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).

thf(143,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( B @ ( A @ ( system @ system_file_needs_citizenship ) ) )
     => ( ( C @ ( A @ ( admin @ admin_file_has_compartments ) ) )
       => ( ( C @ ( B @ ( A @ ( admin @ admin_file_has_citizenship_h ) ) ) )
         => ( B @ ( A @ ( admin @ admin_file_has_citizenship ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(88,axiom,
    usa @ ( secretfile @ ( system @ system_file_needs_citizenship ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).

thf(231,plain,
    usa @ ( secretfile @ ( system @ system_file_needs_citizenship ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).

thf(8,axiom,
    not_secretfile @ state_file_is_not_working_paper,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).

thf(99,plain,
    not_secretfile @ state_file_is_not_working_paper,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(71,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( E @ ( C @ ( admin @ admin_compartment_has_sso ) ) )
     => ( ( F @ ( C @ ( admin @ admin_compartment_has_scg ) ) )
       => ( ( F @ ( B @ ( A @ ( E @ sso_file_has_level ) ) ) )
         => ( ( D @ ( B @ ( A @ ( admin @ admin_file_has_level_h ) ) ) )
           => ( D @ ( C @ cons ) @ ( B @ ( A @ ( admin @ admin_file_has_level_h ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

thf(203,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( E @ ( C @ ( admin @ admin_compartment_has_sso ) ) )
     => ( ( F @ ( C @ ( admin @ admin_compartment_has_scg ) ) )
       => ( ( F @ ( B @ ( A @ ( E @ sso_file_has_level ) ) ) )
         => ( ( D @ ( B @ ( A @ ( admin @ admin_file_has_level_h ) ) ) )
           => ( D @ ( C @ cons ) @ ( B @ ( A @ ( admin @ admin_file_has_level_h ) ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).

thf(13,axiom,
    nil @ ( not_secretfile @ ( system @ system_file_needs_compartments ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).

thf(104,plain,
    nil @ ( not_secretfile @ ( system @ system_file_needs_compartments ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(49,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ ( system @ system_compartment_has_sso ) ) )
     => ( B @ ( A @ ( admin @ admin_compartment_has_sso ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

thf(158,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ ( system @ system_compartment_has_sso ) ) )
     => ( B @ ( A @ ( admin @ admin_compartment_has_sso ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(63,axiom,
    alice @ ( polygraph_admin @ polygraph_admin_indi_has_polygraph ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).

thf(186,plain,
    alice @ ( polygraph_admin @ polygraph_admin_indi_has_polygraph ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).

thf(54,axiom,
    usa @ ( alice @ ( system @ system_indi_has_citizenship ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).

thf(171,plain,
    usa @ ( alice @ ( system @ system_indi_has_citizenship ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(25,axiom,
    anycountry @ ( not_secretfile @ ( system @ system_file_needs_citizenship ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).

thf(119,plain,
    anycountry @ ( not_secretfile @ ( system @ system_file_needs_citizenship ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(77,axiom,
    not_secretfile @ ( alice @ ( owner_secretfile @ owner_indi_has_need_to_know ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).

thf(214,plain,
    not_secretfile @ ( alice @ ( owner_secretfile @ owner_indi_has_need_to_know ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).

thf(46,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
      ( ( C @ ( system @ system_indi_is_oca ) )
     => ( ( G @ ( F @ ( E @ ( D @ ( B @ ( C @ oca_compartment_is_compartment ) ) ) ) ) )
       => ( ( D @ ( A @ ( admin @ admin_indi_has_level ) ) )
         => ( B @ ( A @ ( admin @ admin_indi_has_level_for_compartment ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).

thf(151,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
      ( ( C @ ( system @ system_indi_is_oca ) )
     => ( ( G @ ( F @ ( E @ ( D @ ( B @ ( C @ oca_compartment_is_compartment ) ) ) ) ) )
       => ( ( D @ ( A @ ( admin @ admin_indi_has_level ) ) )
         => ( B @ ( A @ ( admin @ admin_indi_has_level_for_compartment ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(53,axiom,
    ! [A: $i,B: $i] :
      ( ( usa @ ( A @ ( admin @ admin_indi_has_citizenship ) ) )
     => ( B @ ( A @ ( admin @ admin_indi_has_citizenship_for_file ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).

thf(168,plain,
    ! [A: $i,B: $i] :
      ( ( usa @ ( A @ ( admin @ admin_indi_has_citizenship ) ) )
     => ( B @ ( A @ ( admin @ admin_indi_has_citizenship_for_file ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(43,axiom,
    nil @ ( compartmenta @ cons ) @ ( compartmentb @ cons ) @ ( secretfile @ ( system @ system_file_needs_compartments ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).

thf(146,plain,
    nil @ ( compartmenta @ cons ) @ ( compartmentb @ cons ) @ ( secretfile @ ( system @ system_file_needs_compartments ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(65,axiom,
    ! [A: $i,B: $i] : ( nil @ ( B @ ( A @ ( admin @ admin_file_has_citizenship_h ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

thf(190,plain,
    ! [A: $i,B: $i] : ( nil @ ( B @ ( A @ ( admin @ admin_file_has_citizenship_h ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).

thf(61,axiom,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ ( system @ system_file_needs_compartments ) ) )
     => ( ( B @ ( B @ ( A @ ( admin @ admin_file_has_compartments_h ) ) ) )
       => ( B @ ( A @ ( admin @ admin_file_has_compartments ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).

thf(183,plain,
    ! [A: $i,B: $i] :
      ( ( B @ ( A @ ( system @ system_file_needs_compartments ) ) )
     => ( ( B @ ( B @ ( A @ ( admin @ admin_file_has_compartments_h ) ) ) )
       => ( B @ ( A @ ( admin @ admin_file_has_compartments ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(74,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ state_file_has_owner ) )
     => ( ( C @ ( A @ ( system @ system_indi_is_counterintelligence ) ) )
       => ( read @ ( B @ ( A @ ( admin @ admin_indi_may_file ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).

thf(210,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ state_file_has_owner ) )
     => ( ( C @ ( A @ ( system @ system_indi_is_counterintelligence ) ) )
       => ( read @ ( B @ ( A @ ( admin @ admin_indi_may_file ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).

thf(16,axiom,
    scg_compartmenta @ ( compartmenta @ ( sso_compartmenta @ sso_compartment_has_scg ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).

thf(107,plain,
    scg_compartmenta @ ( compartmenta @ ( sso_compartmenta @ sso_compartment_has_scg ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(32,axiom,
    ! [A: $i,B: $i] : ( nil @ ( B @ ( A @ ( admin @ admin_file_has_level_h ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

thf(126,plain,
    ! [A: $i,B: $i] : ( nil @ ( B @ ( A @ ( admin @ admin_file_has_level_h ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(68,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
      ( ( C @ ( system @ system_indi_is_oca ) )
     => ( ( G @ ( F @ ( E @ ( D @ ( B @ ( C @ oca_compartment_is_compartment ) ) ) ) ) )
       => ( ( E @ ( A @ ( admin @ admin_indi_has_background ) ) )
         => ( B @ ( A @ ( admin @ admin_indi_has_background_for_compartment ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).

thf(195,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
      ( ( C @ ( system @ system_indi_is_oca ) )
     => ( ( G @ ( F @ ( E @ ( D @ ( B @ ( C @ oca_compartment_is_compartment ) ) ) ) ) )
       => ( ( E @ ( A @ ( admin @ admin_indi_has_background ) ) )
         => ( B @ ( A @ ( admin @ admin_indi_has_background_for_compartment ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).

thf(1,conjecture,
    read @ ( secretfile @ ( alice @ ( admin @ admin_indi_may_file ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',alicereadsecret) ).

thf(2,negated_conjecture,
    ~ ( read @ ( secretfile @ ( alice @ ( admin @ admin_indi_may_file ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(90,plain,
    ~ ( read @ ( secretfile @ ( alice @ ( admin @ admin_indi_may_file ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(86,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( C @ ( system @ system_indi_is_oca ) )
     => ( ( yes @ ( F @ ( E @ ( D @ ( B @ ( C @ oca_compartment_is_compartment ) ) ) ) ) )
       => ( ( A @ ( admin @ admin_indi_has_polygraph ) )
         => ( B @ ( A @ ( admin @ admin_indi_has_polygraph_for_compartment ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).

thf(227,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( C @ ( system @ system_indi_is_oca ) )
     => ( ( yes @ ( F @ ( E @ ( D @ ( B @ ( C @ oca_compartment_is_compartment ) ) ) ) ) )
       => ( ( A @ ( admin @ admin_indi_has_polygraph ) )
         => ( B @ ( A @ ( admin @ admin_indi_has_polygraph_for_compartment ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).

thf(28,axiom,
    scg_compartmentb @ ( compartmentb @ ( sso_compartmentb @ sso_compartment_has_scg ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).

thf(122,plain,
    scg_compartmentb @ ( compartmentb @ ( sso_compartmentb @ sso_compartment_has_scg ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(78,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ state_file_has_owner ) )
     => ( ( B @ ( A @ ( C @ owner_indi_has_need_to_know ) ) )
       => ( B @ ( A @ ( admin @ admin_indi_has_need_to_know_for_file ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).

thf(215,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( C @ ( B @ state_file_has_owner ) )
     => ( ( B @ ( A @ ( C @ owner_indi_has_need_to_know ) ) )
       => ( B @ ( A @ ( admin @ admin_indi_has_need_to_know_for_file ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).

thf(89,axiom,
    ! [A: $i,B: $i] : ( nil @ ( B @ ( A @ ( admin @ admin_file_has_compartments_h ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).

thf(232,plain,
    ! [A: $i,B: $i] : ( nil @ ( B @ ( A @ ( admin @ admin_file_has_compartments_h ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).

thf(9,axiom,
    hr_admin @ ( system @ system_indi_is_hr_admin ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).

thf(100,plain,
    hr_admin @ ( system @ system_indi_is_hr_admin ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(234,plain,
    $false,
    inference(e,[status(thm)],[101,142,93,129,148,118,181,95,182,178,115,217,120,174,185,110,125,106,121,147,221,132,133,206,117,201,220,102,160,192,137,165,97,224,109,124,193,212,96,128,105,187,172,113,219,230,208,103,140,213,91,155,198,108,130,223,135,226,162,112,123,154,175,143,231,99,203,104,158,186,171,119,214,151,168,146,190,183,210,107,126,195,90,227,122,215,232,100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SWV437+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.06/0.33  % Computer : n012.cluster.edu
% 0.06/0.33  % Model    : x86_64 x86_64
% 0.06/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.33  % Memory   : 8046.5625MB
% 0.06/0.33  % OS       : Linux 6.8.0-71-generic
% 0.06/0.33  % CPULimit : 300
% 0.06/0.33  % WCLimit  : 300
% 0.06/0.33  % DateTime : Sat Sep 26 13:52:51 UTC 2026
% 0.06/0.33  % CPUTime  : 
% 0.06/0.33  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.49/0.63  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 0.63/0.75  % [INFO] 	 Parsing done (122ms). 
% 0.63/0.76  % [INFO] 	 Running in sequential loop mode. 
% 1.16/0.97  % [INFO] 	 eprover registered as external prover. 
% 1.16/0.97  % [INFO] 	 Scanning for conjecture ... 
% 1.38/1.03  % [INFO] 	 Found a conjecture (or negated_conjecture) and 87 axioms. Running axiom selection ... 
% 1.38/1.09  % [INFO] 	 Axiom selection finished. Selected 87 axioms (removed 0 axioms). 
% 1.64/1.16  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 1.64/1.16  % [INFO] 	 Type checking passed. 
% 1.64/1.17  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 4.02/1.81  % External prover 'e' found a proof!
% 4.02/1.81  % [INFO] 	 Killing All external provers ... 
% 4.02/1.81  % Time passed: 1406ms (effective reasoning time: 1044ms)
% 4.02/1.81  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 4.02/1.81  % Axioms used in derivation (87): ax74, ax13, ax33, ax72, ax37, ax14, ax12, ax53, ax79, ax20, ax52, ax67, ax24, ax63, ax56, ax4, ax47, ax41, ax31, ax28, ax9, ax17, ax0, ax6, ax45, ax40, ax85, ax35, ax58, ax69, ax78, ax39, ax27, ax66, ax8, ax73, ax51, ax48, ax21, ax62, ax10, ax55, ax32, ax16, ax80, ax59, ax1, ax7, ax77, ax38, ax44, ax84, ax26, ax61, ax11, ax50, ax65, ax22, ax15, ax81, ax76, ax43, ax83, ax19, ax2, ax70, ax54, ax49, ax46, ax34, ax23, ax86, ax25, ax60, ax71, ax57, ax68, ax30, ax42, ax82, ax18, ax3, ax5, ax36, ax64, ax29, ax75
% 4.02/1.81  % No. of inferences in proof: 178
% 4.02/1.81  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1406 ms resp. 1044 ms w/o parsing
% 4.02/1.87  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.02/1.87  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------