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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWV437+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n010.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 : Thu Sep 24 02:55:31 PM UTC 2026

% Result   : Theorem 0.15s 5.46s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   74
% Syntax   : Number of formulae    :  252 ( 129 unt;   0 def)
%            Number of atoms       :  606 (   0 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  637 ( 283   ~; 269   |;   0   &)
%                                         (   0 <=>;  85  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   55 (  54 usr;   1 prp; 0-6 aty)
%            Number of functors    :   28 (  28 usr;  27 con; 0-2 aty)
%            Number of variables   :  424 (  37 sgn 242   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax6,axiom,
    ! [X5,X6] :
      ( system_compartment_has_sso(system,X5,X6)
     => admin_compartment_has_sso(admin,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax6) ).

fof(ax10,axiom,
    ! [X9,X10,X11,X12,X6] :
      ( admin_compartment_has_sso(admin,X11,X6)
     => ( sso_file_has_compartments(X6,X9,X10)
       => ( admin_file_has_compartments_h(admin,X9,X10,X12)
         => admin_file_has_compartments_h(admin,X9,X10,cons(X11,X12)) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax10) ).

fof(ax44,hypothesis,
    system_compartment_has_sso(system,compartmentb,sso_compartmentb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).

fof(ax5,axiom,
    ! [X1,X2,X3,X4] :
      ( loca_level_direct_below(X1,X3,X4)
     => ( loca_level_below(X1,X2,X3)
       => loca_level_below(X1,X2,X4) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax5) ).

fof(ax3,axiom,
    ! [X1] : loca_level_direct_below(X1,secret,topsecret),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax3) ).

fof(ax8,axiom,
    ! [X9,X10] :
      ( system_file_needs_compartments(system,X9,X10)
     => ( admin_file_has_compartments_h(admin,X9,X10,X10)
       => admin_file_has_compartments(admin,X9,X10) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax8) ).

fof(ax47,hypothesis,
    system_compartment_has_sso(system,compartmenta,sso_compartmenta),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).

fof(ax20,axiom,
    ! [X1,X2,X16,X3] :
      ( system_indi_is_background_admin(system,X16)
     => ( background_admin_indi_has_background(X16,X1,X3)
       => ( loca_level_below(admin,X2,X3)
         => admin_indi_has_background(admin,X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax20) ).

fof(ax23,axiom,
    ! [X1,X13] :
      ( system_indi_has_citizenship(system,X1,X13)
     => admin_indi_has_citizenship(admin,X1,X13) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax23) ).

fof(ax21,axiom,
    ! [X1,X17] :
      ( system_indi_is_hr_admin(system,X17)
     => ( hr_admin_indi_has_employment(X17,X1)
       => admin_indi_has_employment(admin,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax21) ).

fof(ax18,axiom,
    ! [X1,X15] :
      ( system_indi_is_credit_admin(system,X15)
     => ( credit_admin_indi_has_credit(X15,X1)
       => admin_indi_has_credit(admin,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax18) ).

fof(ax17,axiom,
    ! [X1,X14] :
      ( system_indi_is_polygraph_admin(system,X14)
     => ( polygraph_admin_indi_has_polygraph(X14,X1)
       => admin_indi_has_polygraph(admin,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax17) ).

fof(ax13,axiom,
    ! [X9,X2,X5,X10,X6,X8] :
      ( admin_compartment_has_sso(admin,X5,X6)
     => ( admin_compartment_has_scg(admin,X5,X8)
       => ( sso_file_has_level(X6,X9,X2,X8)
         => ( admin_file_has_level_h(admin,X9,X2,X10)
           => admin_file_has_level_h(admin,X9,X2,cons(X5,X10)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax13) ).

fof(ax9,axiom,
    ! [X9,X10] : admin_file_has_compartments_h(admin,X9,X10,nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax9) ).

fof(ax7,axiom,
    ! [X7,X5,X6,X8] :
      ( system_indi_is_oca(system,X7)
     => ( oca_compartment_has_scg(X7,X5,X8)
       => ( admin_compartment_has_sso(admin,X5,X6)
         => ( sso_compartment_has_scg(X6,X5,X8)
           => admin_compartment_has_scg(admin,X5,X8) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax7) ).

fof(ax25,axiom,
    ! [X1,X2,X3,X18,X4] :
      ( system_indi_needs_level(system,X1,X3)
     => ( admin_indi_has_citizenship(admin,X1,usa)
       => ( admin_indi_has_polygraph(admin,X1)
         => ( admin_indi_has_employment(admin,X1)
           => ( admin_indi_has_credit(admin,X1)
             => ( loca_level_below(admin,X2,X3)
               => ( system_indi_is_level_admin(system,X18)
                 => ( level_admin_indi_has_level(X18,X1,X4)
                   => ( loca_level_below(admin,X2,X4)
                     => ( admin_indi_has_background(admin,X1,X2)
                       => admin_indi_has_level(admin,X1,X2) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax25) ).

fof(ax71,hypothesis,
    system_indi_has_citizenship(system,alice,usa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).

fof(ax75,hypothesis,
    hr_admin_indi_has_employment(hr_admin,alice),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).

fof(ax69,hypothesis,
    system_indi_is_hr_admin(system,hr_admin),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).

fof(ax73,hypothesis,
    credit_admin_indi_has_credit(credit_admin,alice),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).

fof(ax67,hypothesis,
    system_indi_is_credit_admin(system,credit_admin),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).

fof(ax72,hypothesis,
    polygraph_admin_indi_has_polygraph(polygraph_admin,alice),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).

fof(ax66,hypothesis,
    system_indi_is_polygraph_admin(system,polygraph_admin),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).

fof(ax74,hypothesis,
    background_admin_indi_has_background(background_admin,alice,topsecret),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).

fof(ax68,hypothesis,
    system_indi_is_background_admin(system,background_admin),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).

fof(ax11,axiom,
    ! [X9,X2,X10] :
      ( system_file_needs_level(system,X9,X2)
     => ( admin_file_has_compartments(admin,X9,X10)
       => ( admin_file_has_level_h(admin,X9,X2,X10)
         => admin_file_has_level(admin,X9,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax11) ).

fof(ax55,hypothesis,
    sso_file_has_level(sso_compartmentb,secretfile,secret,scg_compartmentb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).

fof(ax46,hypothesis,
    sso_compartment_has_scg(sso_compartmentb,compartmentb,scg_compartmentb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).

fof(ax16,axiom,
    ! [X9,X13,X5,X10,X6,X8] :
      ( admin_compartment_has_sso(admin,X5,X6)
     => ( admin_compartment_has_scg(admin,X5,X8)
       => ( sso_file_has_citizenship(X6,X9,X13,X8)
         => ( admin_file_has_citizenship_h(admin,X9,X13,X10)
           => admin_file_has_citizenship_h(admin,X9,X13,cons(X5,X10)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax16) ).

fof(ax76,hypothesis,
    system_indi_needs_level(system,alice,secret),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).

fof(ax54,hypothesis,
    system_file_needs_level(system,secretfile,secret),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).

fof(ax53,hypothesis,
    sso_file_has_compartments(sso_compartmenta,secretfile,cons(compartmentb,cons(compartmenta,nil))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).

fof(ax52,hypothesis,
    sso_file_has_compartments(sso_compartmentb,secretfile,cons(compartmentb,cons(compartmenta,nil))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).

fof(ax51,hypothesis,
    system_file_needs_compartments(system,secretfile,cons(compartmentb,cons(compartmenta,nil))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).

fof(ax45,hypothesis,
    oca_compartment_has_scg(oca,compartmentb,scg_compartmentb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).

fof(ax41,hypothesis,
    system_indi_is_oca(system,oca),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).

fof(ax49,hypothesis,
    sso_compartment_has_scg(sso_compartmenta,compartmenta,scg_compartmenta),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).

fof(ax14,axiom,
    ! [X9,X13,X10] :
      ( system_file_needs_citizenship(system,X9,X13)
     => ( admin_file_has_compartments(admin,X9,X10)
       => ( admin_file_has_citizenship_h(admin,X9,X13,X10)
         => admin_file_has_citizenship(admin,X9,X13) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax14) ).

fof(ax58,hypothesis,
    sso_file_has_citizenship(sso_compartmentb,secretfile,usa,scg_compartmentb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).

fof(ax35,axiom,
    ! [X1,X9,X2] :
      ( admin_file_has_level(admin,X9,X2)
     => ( admin_indi_has_level(admin,X1,X2)
       => admin_indi_has_level_for_file(admin,X1,X9) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax35) ).

fof(ax77,hypothesis,
    level_admin_indi_has_level(level_admin,alice,topsecret),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).

fof(ax70,hypothesis,
    system_indi_is_level_admin(system,level_admin),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).

fof(ax56,hypothesis,
    sso_file_has_level(sso_compartmenta,secretfile,secret,scg_compartmenta),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).

fof(ax12,axiom,
    ! [X9,X2] : admin_file_has_level_h(admin,X9,X2,nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax12) ).

fof(ax48,hypothesis,
    oca_compartment_has_scg(oca,compartmenta,scg_compartmenta),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).

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

fof(ax57,hypothesis,
    system_file_needs_citizenship(system,secretfile,usa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).

fof(ax4,axiom,
    ! [X1,X2] : loca_level_below(X1,X2,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax4) ).

fof(ax36,axiom,
    ! [X1,X9,X22] :
      ( state_file_has_owner(X9,X22)
     => ( owner_indi_has_need_to_know(X22,X1,X9)
       => admin_indi_has_need_to_know_for_file(admin,X1,X9) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax36) ).

fof(ax37,axiom,
    ! [X1,X9,X2] :
      ( admin_file_has_citizenship(admin,X9,X2)
     => ( admin_indi_has_citizenship(admin,X1,X2)
       => admin_indi_has_citizenship_for_file(admin,X1,X9) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax37) ).

fof(ax59,hypothesis,
    sso_file_has_citizenship(sso_compartmenta,secretfile,usa,scg_compartmenta),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).

fof(ax15,axiom,
    ! [X9,X13] : admin_file_has_citizenship_h(admin,X9,X13,nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax15) ).

fof(ax27,axiom,
    ! [X1,X5,X10,X6] :
      ( system_indi_needs_compartment(system,X1,X5)
     => ( admin_indi_has_employment(admin,X1)
       => ( admin_indi_has_citizenship(admin,X1,usa)
         => ( admin_indi_has_polygraph_for_compartment(admin,X1,X5)
           => ( admin_indi_has_credit_for_compartment(admin,X1,X5)
             => ( admin_compartment_has_sso(admin,X5,X6)
               => ( sso_indi_has_compartment(X6,X1,X5)
                 => ( admin_indi_has_background_for_compartment(admin,X1,X5)
                   => ( admin_indi_has_level_for_compartment(admin,X1,X5)
                     => ( admin_indi_has_compartments(admin,X1,X10)
                       => admin_indi_has_compartments(admin,X1,cons(X5,X10)) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax27) ).

fof(ax39,axiom,
    ! [X1,X9] :
      ( state_file_is_not_working_paper(X9)
     => ( admin_indi_has_citizenship_for_file(admin,X1,X9)
       => ( admin_indi_has_need_to_know_for_file(admin,X1,X9)
         => ( admin_indi_has_level_for_file(admin,X1,X9)
           => ( admin_indi_has_compartments_for_file(admin,X1,X9)
             => admin_indi_may_file(admin,X1,X9,read) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax39) ).

fof(ax82,hypothesis,
    owner_indi_has_need_to_know(owner_secretfile,alice,secretfile),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).

fof(ax60,hypothesis,
    state_file_has_owner(secretfile,owner_secretfile),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).

fof(ax34,axiom,
    ! [X1,X9,X10] :
      ( admin_file_has_compartments(admin,X9,X10)
     => ( admin_indi_has_compartments(admin,X1,X10)
       => admin_indi_has_compartments_for_file(admin,X1,X9) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax34) ).

fof(ax80,hypothesis,
    sso_indi_has_compartment(sso_compartmentb,alice,compartmentb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).

fof(ax78,hypothesis,
    system_indi_needs_compartment(system,alice,compartmentb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).

fof(ax50,hypothesis,
    state_file_is_not_working_paper(secretfile),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).

fof(ax28,axiom,
    ! [X1,X5,X7,X3,X19,X20,X21] :
      ( system_indi_is_oca(system,X7)
     => ( oca_compartment_is_compartment(X7,X5,X3,X19,X20,X21)
       => ( admin_indi_has_background(admin,X1,X19)
         => admin_indi_has_background_for_compartment(admin,X1,X5) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax28) ).

fof(ax19,axiom,
    ! [X1] : admin_indi_has_background(admin,X1,unclassified),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax19) ).

fof(ax33,axiom,
    ! [X1,X5,X7,X3,X19,X21] :
      ( system_indi_is_oca(system,X7)
     => ( oca_compartment_is_compartment(X7,X5,X3,X19,no,X21)
       => admin_indi_has_credit_for_compartment(admin,X1,X5) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax33) ).

fof(ax31,axiom,
    ! [X1,X5,X7,X3,X19,X20] :
      ( system_indi_is_oca(system,X7)
     => ( oca_compartment_is_compartment(X7,X5,X3,X19,X20,no)
       => admin_indi_has_polygraph_for_compartment(admin,X1,X5) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax31) ).

fof(ax43,hypothesis,
    oca_compartment_is_compartment(oca,compartmenta,sbu,unclassified,no,no),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).

fof(ax81,hypothesis,
    sso_indi_has_compartment(sso_compartmenta,alice,compartmenta),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).

fof(ax79,hypothesis,
    system_indi_needs_compartment(system,alice,compartmenta),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).

fof(ax26,axiom,
    ! [X1] : admin_indi_has_compartments(admin,X1,nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax26) ).

fof(ax29,axiom,
    ! [X1,X5,X7,X3,X19,X20,X21] :
      ( system_indi_is_oca(system,X7)
     => ( oca_compartment_is_compartment(X7,X5,X3,X19,X20,X21)
       => ( admin_indi_has_level(admin,X1,X3)
         => admin_indi_has_level_for_compartment(admin,X1,X5) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax29) ).

fof(ax42,hypothesis,
    oca_compartment_is_compartment(oca,compartmentb,confidential,topsecret,yes,yes),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).

fof(ax32,axiom,
    ! [X1,X5,X7,X3,X19,X21] :
      ( system_indi_is_oca(system,X7)
     => ( oca_compartment_is_compartment(X7,X5,X3,X19,yes,X21)
       => ( admin_indi_has_credit(admin,X1)
         => admin_indi_has_credit_for_compartment(admin,X1,X5) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax32) ).

fof(ax30,axiom,
    ! [X1,X5,X7,X3,X19,X20] :
      ( system_indi_is_oca(system,X7)
     => ( oca_compartment_is_compartment(X7,X5,X3,X19,X20,yes)
       => ( admin_indi_has_polygraph(admin,X1)
         => admin_indi_has_polygraph_for_compartment(admin,X1,X5) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax30) ).

fof(ax2,axiom,
    ! [X1] : loca_level_direct_below(X1,confidential,secret),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax2) ).

fof(ax1,axiom,
    ! [X1] : loca_level_direct_below(X1,sbu,confidential),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV009+0.ax',ax1) ).

fof(c_0_74,plain,
    ! [X34,X35] :
      ( admin_compartment_has_sso(admin,X34,X35)
      | ~ system_compartment_has_sso(system,X34,X35) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])])]) ).

fof(c_0_75,plain,
    ! [X44,X45,X46,X47,X48] :
      ( admin_file_has_compartments_h(admin,X44,X45,cons(X46,X47))
      | ~ admin_file_has_compartments_h(admin,X44,X45,X47)
      | ~ sso_file_has_compartments(X48,X44,X45)
      | ~ admin_compartment_has_sso(admin,X46,X48) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax10])])]) ).

cnf(c_0_76,plain,
    ( ~ system_compartment_has_sso(system,X1,X2)
    | admin_compartment_has_sso(admin,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_77,hypothesis,
    system_compartment_has_sso(system,compartmentb,sso_compartmentb),
    inference(split_conjunct,[status(thm)],[ax44]) ).

fof(c_0_78,plain,
    ! [X30,X31,X32,X33] :
      ( loca_level_below(X30,X31,X33)
      | ~ loca_level_below(X30,X31,X32)
      | ~ loca_level_direct_below(X30,X32,X33) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5])])]) ).

fof(c_0_79,plain,
    ! [X27] : loca_level_direct_below(X27,secret,topsecret),
    inference(variable_rename,[status(thm)],[ax3]) ).

fof(c_0_80,plain,
    ! [X40,X41] :
      ( admin_file_has_compartments(admin,X40,X41)
      | ~ admin_file_has_compartments_h(admin,X40,X41,X41)
      | ~ system_file_needs_compartments(system,X40,X41) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax8])])]) ).

cnf(c_0_81,plain,
    ( ~ admin_file_has_compartments_h(admin,X3,X4,X5)
    | ~ sso_file_has_compartments(X2,X3,X4)
    | ~ admin_compartment_has_sso(admin,X1,X2)
    | admin_file_has_compartments_h(admin,X3,X4,cons(X1,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_82,hypothesis,
    admin_compartment_has_sso(admin,compartmentb,sso_compartmentb),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_83,hypothesis,
    system_compartment_has_sso(system,compartmenta,sso_compartmenta),
    inference(split_conjunct,[status(thm)],[ax47]) ).

fof(c_0_84,plain,
    ! [X76,X77,X78,X79] :
      ( admin_indi_has_background(admin,X76,X77)
      | ~ loca_level_below(admin,X77,X79)
      | ~ background_admin_indi_has_background(X78,X76,X79)
      | ~ system_indi_is_background_admin(system,X78) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])])]) ).

cnf(c_0_85,plain,
    ( ~ loca_level_below(X1,X4,X2)
    | ~ loca_level_direct_below(X1,X2,X3)
    | loca_level_below(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_86,plain,
    loca_level_direct_below(X1,secret,topsecret),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_87,plain,
    ( ~ admin_file_has_compartments_h(admin,X1,X2,X2)
    | ~ system_file_needs_compartments(system,X1,X2)
    | admin_file_has_compartments(admin,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_88,hypothesis,
    ( ~ admin_file_has_compartments_h(admin,X1,X2,X3)
    | ~ sso_file_has_compartments(sso_compartmentb,X1,X2)
    | admin_file_has_compartments_h(admin,X1,X2,cons(compartmentb,X3)) ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_89,hypothesis,
    admin_compartment_has_sso(admin,compartmenta,sso_compartmenta),
    inference(spm,[status(thm)],[c_0_76,c_0_83]) ).

fof(c_0_90,plain,
    ! [X83,X84] :
      ( admin_indi_has_citizenship(admin,X83,X84)
      | ~ system_indi_has_citizenship(system,X83,X84) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])]) ).

fof(c_0_91,plain,
    ! [X80,X81] :
      ( admin_indi_has_employment(admin,X80)
      | ~ hr_admin_indi_has_employment(X81,X80)
      | ~ system_indi_is_hr_admin(system,X81) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).

fof(c_0_92,plain,
    ! [X73,X74] :
      ( admin_indi_has_credit(admin,X73)
      | ~ credit_admin_indi_has_credit(X74,X73)
      | ~ system_indi_is_credit_admin(system,X74) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])])]) ).

fof(c_0_93,plain,
    ! [X71,X72] :
      ( admin_indi_has_polygraph(admin,X71)
      | ~ polygraph_admin_indi_has_polygraph(X72,X71)
      | ~ system_indi_is_polygraph_admin(system,X72) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax17])])]) ).

cnf(c_0_94,plain,
    ( ~ loca_level_below(admin,X4,X3)
    | ~ background_admin_indi_has_background(X1,X2,X3)
    | ~ system_indi_is_background_admin(system,X1)
    | admin_indi_has_background(admin,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_95,plain,
    ( ~ loca_level_below(X1,X2,secret)
    | loca_level_below(X1,X2,topsecret) ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

fof(c_0_96,plain,
    ! [X54,X55,X56,X57,X58,X59] :
      ( admin_file_has_level_h(admin,X54,X55,cons(X56,X57))
      | ~ admin_file_has_level_h(admin,X54,X55,X57)
      | ~ sso_file_has_level(X58,X54,X55,X59)
      | ~ admin_compartment_has_scg(admin,X56,X59)
      | ~ admin_compartment_has_sso(admin,X56,X58) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax13])])]) ).

cnf(c_0_97,hypothesis,
    ( ~ system_file_needs_compartments(system,X1,cons(compartmentb,X2))
    | ~ admin_file_has_compartments_h(admin,X1,cons(compartmentb,X2),X2)
    | ~ sso_file_has_compartments(sso_compartmentb,X1,cons(compartmentb,X2))
    | admin_file_has_compartments(admin,X1,cons(compartmentb,X2)) ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_98,hypothesis,
    ( ~ admin_file_has_compartments_h(admin,X1,X2,X3)
    | ~ sso_file_has_compartments(sso_compartmenta,X1,X2)
    | admin_file_has_compartments_h(admin,X1,X2,cons(compartmenta,X3)) ),
    inference(spm,[status(thm)],[c_0_81,c_0_89]) ).

fof(c_0_99,plain,
    ! [X42,X43] : admin_file_has_compartments_h(admin,X42,X43,nil),
    inference(variable_rename,[status(thm)],[ax9]) ).

fof(c_0_100,plain,
    ! [X36,X37,X38,X39] :
      ( admin_compartment_has_scg(admin,X37,X39)
      | ~ sso_compartment_has_scg(X38,X37,X39)
      | ~ admin_compartment_has_sso(admin,X37,X38)
      | ~ oca_compartment_has_scg(X36,X37,X39)
      | ~ system_indi_is_oca(system,X36) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])])]) ).

fof(c_0_101,plain,
    ! [X86,X87,X88,X89,X90] :
      ( admin_indi_has_level(admin,X86,X87)
      | ~ admin_indi_has_background(admin,X86,X87)
      | ~ loca_level_below(admin,X87,X90)
      | ~ level_admin_indi_has_level(X89,X86,X90)
      | ~ system_indi_is_level_admin(system,X89)
      | ~ loca_level_below(admin,X87,X88)
      | ~ admin_indi_has_credit(admin,X86)
      | ~ admin_indi_has_employment(admin,X86)
      | ~ admin_indi_has_polygraph(admin,X86)
      | ~ admin_indi_has_citizenship(admin,X86,usa)
      | ~ system_indi_needs_level(system,X86,X88) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])]) ).

cnf(c_0_102,plain,
    ( ~ system_indi_has_citizenship(system,X1,X2)
    | admin_indi_has_citizenship(admin,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_103,hypothesis,
    system_indi_has_citizenship(system,alice,usa),
    inference(split_conjunct,[status(thm)],[ax71]) ).

cnf(c_0_104,plain,
    ( ~ hr_admin_indi_has_employment(X1,X2)
    | ~ system_indi_is_hr_admin(system,X1)
    | admin_indi_has_employment(admin,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_105,hypothesis,
    hr_admin_indi_has_employment(hr_admin,alice),
    inference(split_conjunct,[status(thm)],[ax75]) ).

cnf(c_0_106,hypothesis,
    system_indi_is_hr_admin(system,hr_admin),
    inference(split_conjunct,[status(thm)],[ax69]) ).

cnf(c_0_107,plain,
    ( ~ credit_admin_indi_has_credit(X1,X2)
    | ~ system_indi_is_credit_admin(system,X1)
    | admin_indi_has_credit(admin,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_108,hypothesis,
    credit_admin_indi_has_credit(credit_admin,alice),
    inference(split_conjunct,[status(thm)],[ax73]) ).

cnf(c_0_109,hypothesis,
    system_indi_is_credit_admin(system,credit_admin),
    inference(split_conjunct,[status(thm)],[ax67]) ).

cnf(c_0_110,plain,
    ( ~ polygraph_admin_indi_has_polygraph(X1,X2)
    | ~ system_indi_is_polygraph_admin(system,X1)
    | admin_indi_has_polygraph(admin,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_111,hypothesis,
    polygraph_admin_indi_has_polygraph(polygraph_admin,alice),
    inference(split_conjunct,[status(thm)],[ax72]) ).

cnf(c_0_112,hypothesis,
    system_indi_is_polygraph_admin(system,polygraph_admin),
    inference(split_conjunct,[status(thm)],[ax66]) ).

cnf(c_0_113,plain,
    ( ~ loca_level_below(admin,X2,secret)
    | ~ system_indi_is_background_admin(system,X3)
    | ~ background_admin_indi_has_background(X3,X1,topsecret)
    | admin_indi_has_background(admin,X1,X2) ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_114,hypothesis,
    background_admin_indi_has_background(background_admin,alice,topsecret),
    inference(split_conjunct,[status(thm)],[ax74]) ).

cnf(c_0_115,hypothesis,
    system_indi_is_background_admin(system,background_admin),
    inference(split_conjunct,[status(thm)],[ax68]) ).

fof(c_0_116,plain,
    ! [X49,X50,X51] :
      ( admin_file_has_level(admin,X49,X50)
      | ~ admin_file_has_level_h(admin,X49,X50,X51)
      | ~ admin_file_has_compartments(admin,X49,X51)
      | ~ system_file_needs_level(system,X49,X50) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax11])])]) ).

cnf(c_0_117,plain,
    ( ~ admin_file_has_level_h(admin,X4,X5,X6)
    | ~ sso_file_has_level(X2,X4,X5,X3)
    | ~ admin_compartment_has_scg(admin,X1,X3)
    | ~ admin_compartment_has_sso(admin,X1,X2)
    | admin_file_has_level_h(admin,X4,X5,cons(X1,X6)) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_118,hypothesis,
    sso_file_has_level(sso_compartmentb,secretfile,secret,scg_compartmentb),
    inference(split_conjunct,[status(thm)],[ax55]) ).

cnf(c_0_119,hypothesis,
    ( ~ system_file_needs_compartments(system,X1,cons(compartmentb,cons(compartmenta,X2)))
    | ~ admin_file_has_compartments_h(admin,X1,cons(compartmentb,cons(compartmenta,X2)),X2)
    | ~ sso_file_has_compartments(sso_compartmenta,X1,cons(compartmentb,cons(compartmenta,X2)))
    | ~ sso_file_has_compartments(sso_compartmentb,X1,cons(compartmentb,cons(compartmenta,X2)))
    | admin_file_has_compartments(admin,X1,cons(compartmentb,cons(compartmenta,X2))) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_120,plain,
    admin_file_has_compartments_h(admin,X1,X2,nil),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_121,plain,
    ( ~ sso_compartment_has_scg(X4,X2,X3)
    | ~ admin_compartment_has_sso(admin,X2,X4)
    | ~ oca_compartment_has_scg(X1,X2,X3)
    | ~ system_indi_is_oca(system,X1)
    | admin_compartment_has_scg(admin,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_122,hypothesis,
    sso_compartment_has_scg(sso_compartmentb,compartmentb,scg_compartmentb),
    inference(split_conjunct,[status(thm)],[ax46]) ).

fof(c_0_123,plain,
    ! [X65,X66,X67,X68,X69,X70] :
      ( admin_file_has_citizenship_h(admin,X65,X66,cons(X67,X68))
      | ~ admin_file_has_citizenship_h(admin,X65,X66,X68)
      | ~ sso_file_has_citizenship(X69,X65,X66,X70)
      | ~ admin_compartment_has_scg(admin,X67,X70)
      | ~ admin_compartment_has_sso(admin,X67,X69) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).

cnf(c_0_124,plain,
    ( ~ admin_indi_has_background(admin,X1,X3)
    | ~ loca_level_below(admin,X3,X5)
    | ~ level_admin_indi_has_level(X4,X1,X5)
    | ~ system_indi_is_level_admin(system,X4)
    | ~ loca_level_below(admin,X3,X2)
    | ~ admin_indi_has_credit(admin,X1)
    | ~ admin_indi_has_employment(admin,X1)
    | ~ admin_indi_has_polygraph(admin,X1)
    | ~ admin_indi_has_citizenship(admin,X1,usa)
    | ~ system_indi_needs_level(system,X1,X2)
    | admin_indi_has_level(admin,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_125,hypothesis,
    system_indi_needs_level(system,alice,secret),
    inference(split_conjunct,[status(thm)],[ax76]) ).

cnf(c_0_126,hypothesis,
    admin_indi_has_citizenship(admin,alice,usa),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_127,hypothesis,
    admin_indi_has_employment(admin,alice),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106])]) ).

cnf(c_0_128,hypothesis,
    admin_indi_has_credit(admin,alice),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109])]) ).

cnf(c_0_129,hypothesis,
    admin_indi_has_polygraph(admin,alice),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112])]) ).

cnf(c_0_130,hypothesis,
    ( ~ loca_level_below(admin,X1,secret)
    | admin_indi_has_background(admin,alice,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115])]) ).

cnf(c_0_131,plain,
    ( ~ admin_file_has_level_h(admin,X1,X2,X3)
    | ~ admin_file_has_compartments(admin,X1,X3)
    | ~ system_file_needs_level(system,X1,X2)
    | admin_file_has_level(admin,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_132,hypothesis,
    ( ~ admin_compartment_has_sso(admin,X1,sso_compartmentb)
    | ~ admin_compartment_has_scg(admin,X1,scg_compartmentb)
    | ~ admin_file_has_level_h(admin,secretfile,secret,X2)
    | admin_file_has_level_h(admin,secretfile,secret,cons(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_133,hypothesis,
    system_file_needs_level(system,secretfile,secret),
    inference(split_conjunct,[status(thm)],[ax54]) ).

cnf(c_0_134,hypothesis,
    ( ~ system_file_needs_compartments(system,X1,cons(compartmentb,cons(compartmenta,nil)))
    | ~ sso_file_has_compartments(sso_compartmenta,X1,cons(compartmentb,cons(compartmenta,nil)))
    | ~ sso_file_has_compartments(sso_compartmentb,X1,cons(compartmentb,cons(compartmenta,nil)))
    | admin_file_has_compartments(admin,X1,cons(compartmentb,cons(compartmenta,nil))) ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_135,hypothesis,
    sso_file_has_compartments(sso_compartmenta,secretfile,cons(compartmentb,cons(compartmenta,nil))),
    inference(split_conjunct,[status(thm)],[ax53]) ).

cnf(c_0_136,hypothesis,
    sso_file_has_compartments(sso_compartmentb,secretfile,cons(compartmentb,cons(compartmenta,nil))),
    inference(split_conjunct,[status(thm)],[ax52]) ).

cnf(c_0_137,hypothesis,
    system_file_needs_compartments(system,secretfile,cons(compartmentb,cons(compartmenta,nil))),
    inference(split_conjunct,[status(thm)],[ax51]) ).

cnf(c_0_138,hypothesis,
    ( ~ system_indi_is_oca(system,X1)
    | ~ oca_compartment_has_scg(X1,compartmentb,scg_compartmentb)
    | admin_compartment_has_scg(admin,compartmentb,scg_compartmentb) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_82])]) ).

cnf(c_0_139,hypothesis,
    oca_compartment_has_scg(oca,compartmentb,scg_compartmentb),
    inference(split_conjunct,[status(thm)],[ax45]) ).

cnf(c_0_140,hypothesis,
    system_indi_is_oca(system,oca),
    inference(split_conjunct,[status(thm)],[ax41]) ).

cnf(c_0_141,hypothesis,
    sso_compartment_has_scg(sso_compartmenta,compartmenta,scg_compartmenta),
    inference(split_conjunct,[status(thm)],[ax49]) ).

fof(c_0_142,plain,
    ! [X60,X61,X62] :
      ( admin_file_has_citizenship(admin,X60,X61)
      | ~ admin_file_has_citizenship_h(admin,X60,X61,X62)
      | ~ admin_file_has_compartments(admin,X60,X62)
      | ~ system_file_needs_citizenship(system,X60,X61) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax14])])]) ).

cnf(c_0_143,plain,
    ( ~ admin_file_has_citizenship_h(admin,X4,X5,X6)
    | ~ sso_file_has_citizenship(X2,X4,X5,X3)
    | ~ admin_compartment_has_scg(admin,X1,X3)
    | ~ admin_compartment_has_sso(admin,X1,X2)
    | admin_file_has_citizenship_h(admin,X4,X5,cons(X1,X6)) ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_144,hypothesis,
    sso_file_has_citizenship(sso_compartmentb,secretfile,usa,scg_compartmentb),
    inference(split_conjunct,[status(thm)],[ax58]) ).

fof(c_0_145,plain,
    ! [X137,X138,X139] :
      ( admin_indi_has_level_for_file(admin,X137,X138)
      | ~ admin_indi_has_level(admin,X137,X139)
      | ~ admin_file_has_level(admin,X138,X139) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax35])])]) ).

cnf(c_0_146,hypothesis,
    ( ~ loca_level_below(admin,X1,X3)
    | ~ loca_level_below(admin,X1,secret)
    | ~ system_indi_is_level_admin(system,X2)
    | ~ level_admin_indi_has_level(X2,alice,X3)
    | admin_indi_has_level(admin,alice,X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]),c_0_127]),c_0_128]),c_0_129])]),c_0_130]) ).

cnf(c_0_147,hypothesis,
    level_admin_indi_has_level(level_admin,alice,topsecret),
    inference(split_conjunct,[status(thm)],[ax77]) ).

cnf(c_0_148,hypothesis,
    system_indi_is_level_admin(system,level_admin),
    inference(split_conjunct,[status(thm)],[ax70]) ).

cnf(c_0_149,hypothesis,
    ( ~ admin_compartment_has_sso(admin,X2,sso_compartmentb)
    | ~ admin_compartment_has_scg(admin,X2,scg_compartmentb)
    | ~ admin_file_has_compartments(admin,secretfile,cons(X2,X1))
    | ~ admin_file_has_level_h(admin,secretfile,secret,X1)
    | admin_file_has_level(admin,secretfile,secret) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133])]) ).

cnf(c_0_150,hypothesis,
    admin_file_has_compartments(admin,secretfile,cons(compartmentb,cons(compartmenta,nil))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]),c_0_137])]) ).

cnf(c_0_151,hypothesis,
    admin_compartment_has_scg(admin,compartmentb,scg_compartmentb),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140])]) ).

cnf(c_0_152,hypothesis,
    sso_file_has_level(sso_compartmenta,secretfile,secret,scg_compartmenta),
    inference(split_conjunct,[status(thm)],[ax56]) ).

fof(c_0_153,plain,
    ! [X52,X53] : admin_file_has_level_h(admin,X52,X53,nil),
    inference(variable_rename,[status(thm)],[ax12]) ).

cnf(c_0_154,hypothesis,
    ( ~ system_indi_is_oca(system,X1)
    | ~ oca_compartment_has_scg(X1,compartmenta,scg_compartmenta)
    | admin_compartment_has_scg(admin,compartmenta,scg_compartmenta) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_141]),c_0_89])]) ).

cnf(c_0_155,hypothesis,
    oca_compartment_has_scg(oca,compartmenta,scg_compartmenta),
    inference(split_conjunct,[status(thm)],[ax48]) ).

fof(c_0_156,negated_conjecture,
    ~ admin_indi_may_file(admin,alice,secretfile,read),
    inference(assume_negation,[status(cth)],[alicereadsecret]) ).

cnf(c_0_157,plain,
    ( ~ admin_file_has_citizenship_h(admin,X1,X2,X3)
    | ~ admin_file_has_compartments(admin,X1,X3)
    | ~ system_file_needs_citizenship(system,X1,X2)
    | admin_file_has_citizenship(admin,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_142]) ).

cnf(c_0_158,hypothesis,
    ( ~ admin_compartment_has_sso(admin,X1,sso_compartmentb)
    | ~ admin_compartment_has_scg(admin,X1,scg_compartmentb)
    | ~ admin_file_has_citizenship_h(admin,secretfile,usa,X2)
    | admin_file_has_citizenship_h(admin,secretfile,usa,cons(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_159,hypothesis,
    system_file_needs_citizenship(system,secretfile,usa),
    inference(split_conjunct,[status(thm)],[ax57]) ).

cnf(c_0_160,plain,
    ( ~ admin_indi_has_level(admin,X3,X2)
    | ~ admin_file_has_level(admin,X1,X2)
    | admin_indi_has_level_for_file(admin,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_161,hypothesis,
    ( ~ loca_level_below(admin,X1,secret)
    | admin_indi_has_level(admin,alice,X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148])]),c_0_95]) ).

cnf(c_0_162,hypothesis,
    ( ~ admin_file_has_level_h(admin,secretfile,secret,cons(compartmenta,nil))
    | admin_file_has_level(admin,secretfile,secret) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]),c_0_82])]) ).

cnf(c_0_163,hypothesis,
    ( ~ admin_compartment_has_sso(admin,X1,sso_compartmenta)
    | ~ admin_compartment_has_scg(admin,X1,scg_compartmenta)
    | ~ admin_file_has_level_h(admin,secretfile,secret,X2)
    | admin_file_has_level_h(admin,secretfile,secret,cons(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_117,c_0_152]) ).

cnf(c_0_164,plain,
    admin_file_has_level_h(admin,X1,X2,nil),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_165,hypothesis,
    admin_compartment_has_scg(admin,compartmenta,scg_compartmenta),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_140])]) ).

fof(c_0_166,plain,
    ! [X28,X29] : loca_level_below(X28,X29,X29),
    inference(variable_rename,[status(thm)],[ax4]) ).

fof(c_0_167,plain,
    ! [X140,X141,X142] :
      ( admin_indi_has_need_to_know_for_file(admin,X140,X141)
      | ~ owner_indi_has_need_to_know(X142,X140,X141)
      | ~ state_file_has_owner(X141,X142) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax36])])]) ).

fof(c_0_168,negated_conjecture,
    ~ admin_indi_may_file(admin,alice,secretfile,read),
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_169,plain,
    ! [X143,X144,X145] :
      ( admin_indi_has_citizenship_for_file(admin,X143,X144)
      | ~ admin_indi_has_citizenship(admin,X143,X145)
      | ~ admin_file_has_citizenship(admin,X144,X145) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax37])])]) ).

cnf(c_0_170,hypothesis,
    ( ~ admin_compartment_has_sso(admin,X2,sso_compartmentb)
    | ~ admin_compartment_has_scg(admin,X2,scg_compartmentb)
    | ~ admin_file_has_compartments(admin,secretfile,cons(X2,X1))
    | ~ admin_file_has_citizenship_h(admin,secretfile,usa,X1)
    | admin_file_has_citizenship(admin,secretfile,usa) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159])]) ).

cnf(c_0_171,hypothesis,
    sso_file_has_citizenship(sso_compartmenta,secretfile,usa,scg_compartmenta),
    inference(split_conjunct,[status(thm)],[ax59]) ).

fof(c_0_172,plain,
    ! [X63,X64] : admin_file_has_citizenship_h(admin,X63,X64,nil),
    inference(variable_rename,[status(thm)],[ax15]) ).

fof(c_0_173,plain,
    ! [X92,X93,X94,X95] :
      ( admin_indi_has_compartments(admin,X92,cons(X93,X94))
      | ~ admin_indi_has_compartments(admin,X92,X94)
      | ~ admin_indi_has_level_for_compartment(admin,X92,X93)
      | ~ admin_indi_has_background_for_compartment(admin,X92,X93)
      | ~ sso_indi_has_compartment(X95,X92,X93)
      | ~ admin_compartment_has_sso(admin,X93,X95)
      | ~ admin_indi_has_credit_for_compartment(admin,X92,X93)
      | ~ admin_indi_has_polygraph_for_compartment(admin,X92,X93)
      | ~ admin_indi_has_citizenship(admin,X92,usa)
      | ~ admin_indi_has_employment(admin,X92)
      | ~ system_indi_needs_compartment(system,X92,X93) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])]) ).

fof(c_0_174,plain,
    ! [X148,X149] :
      ( admin_indi_may_file(admin,X148,X149,read)
      | ~ admin_indi_has_compartments_for_file(admin,X148,X149)
      | ~ admin_indi_has_level_for_file(admin,X148,X149)
      | ~ admin_indi_has_need_to_know_for_file(admin,X148,X149)
      | ~ admin_indi_has_citizenship_for_file(admin,X148,X149)
      | ~ state_file_is_not_working_paper(X149) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax39])])]) ).

cnf(c_0_175,hypothesis,
    ( ~ loca_level_below(admin,X2,secret)
    | ~ admin_file_has_level(admin,X1,X2)
    | admin_indi_has_level_for_file(admin,alice,X1) ),
    inference(spm,[status(thm)],[c_0_160,c_0_161]) ).

cnf(c_0_176,hypothesis,
    admin_file_has_level(admin,secretfile,secret),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164]),c_0_165]),c_0_89])]) ).

cnf(c_0_177,plain,
    loca_level_below(X1,X2,X2),
    inference(split_conjunct,[status(thm)],[c_0_166]) ).

cnf(c_0_178,plain,
    ( ~ owner_indi_has_need_to_know(X2,X3,X1)
    | ~ state_file_has_owner(X1,X2)
    | admin_indi_has_need_to_know_for_file(admin,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_179,hypothesis,
    owner_indi_has_need_to_know(owner_secretfile,alice,secretfile),
    inference(split_conjunct,[status(thm)],[ax82]) ).

cnf(c_0_180,hypothesis,
    state_file_has_owner(secretfile,owner_secretfile),
    inference(split_conjunct,[status(thm)],[ax60]) ).

fof(c_0_181,negated_conjecture,
    ~ admin_indi_may_file(admin,alice,secretfile,read),
    inference(fof_nnf,[status(thm)],[c_0_168]) ).

cnf(c_0_182,plain,
    ( ~ admin_indi_has_citizenship(admin,X3,X2)
    | ~ admin_file_has_citizenship(admin,X1,X2)
    | admin_indi_has_citizenship_for_file(admin,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_183,hypothesis,
    ( ~ admin_file_has_citizenship_h(admin,secretfile,usa,cons(compartmenta,nil))
    | admin_file_has_citizenship(admin,secretfile,usa) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_150]),c_0_151]),c_0_82])]) ).

cnf(c_0_184,hypothesis,
    ( ~ admin_compartment_has_sso(admin,X1,sso_compartmenta)
    | ~ admin_compartment_has_scg(admin,X1,scg_compartmenta)
    | ~ admin_file_has_citizenship_h(admin,secretfile,usa,X2)
    | admin_file_has_citizenship_h(admin,secretfile,usa,cons(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_143,c_0_171]) ).

cnf(c_0_185,plain,
    admin_file_has_citizenship_h(admin,X1,X2,nil),
    inference(split_conjunct,[status(thm)],[c_0_172]) ).

fof(c_0_186,plain,
    ! [X134,X135,X136] :
      ( admin_indi_has_compartments_for_file(admin,X134,X135)
      | ~ admin_indi_has_compartments(admin,X134,X136)
      | ~ admin_file_has_compartments(admin,X135,X136) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax34])])]) ).

cnf(c_0_187,plain,
    ( ~ admin_indi_has_compartments(admin,X1,X4)
    | ~ admin_indi_has_level_for_compartment(admin,X1,X2)
    | ~ admin_indi_has_background_for_compartment(admin,X1,X2)
    | ~ sso_indi_has_compartment(X3,X1,X2)
    | ~ admin_compartment_has_sso(admin,X2,X3)
    | ~ admin_indi_has_credit_for_compartment(admin,X1,X2)
    | ~ admin_indi_has_polygraph_for_compartment(admin,X1,X2)
    | ~ admin_indi_has_citizenship(admin,X1,usa)
    | ~ admin_indi_has_employment(admin,X1)
    | ~ system_indi_needs_compartment(system,X1,X2)
    | admin_indi_has_compartments(admin,X1,cons(X2,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_173]) ).

cnf(c_0_188,hypothesis,
    sso_indi_has_compartment(sso_compartmentb,alice,compartmentb),
    inference(split_conjunct,[status(thm)],[ax80]) ).

cnf(c_0_189,hypothesis,
    system_indi_needs_compartment(system,alice,compartmentb),
    inference(split_conjunct,[status(thm)],[ax78]) ).

cnf(c_0_190,plain,
    ( ~ admin_indi_has_compartments_for_file(admin,X2,X1)
    | ~ admin_indi_has_level_for_file(admin,X2,X1)
    | ~ admin_indi_has_need_to_know_for_file(admin,X2,X1)
    | ~ admin_indi_has_citizenship_for_file(admin,X2,X1)
    | ~ state_file_is_not_working_paper(X1)
    | admin_indi_may_file(admin,X2,X1,read) ),
    inference(split_conjunct,[status(thm)],[c_0_174]) ).

cnf(c_0_191,hypothesis,
    admin_indi_has_level_for_file(admin,alice,secretfile),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_177])]) ).

cnf(c_0_192,hypothesis,
    state_file_is_not_working_paper(secretfile),
    inference(split_conjunct,[status(thm)],[ax50]) ).

cnf(c_0_193,hypothesis,
    admin_indi_has_need_to_know_for_file(admin,alice,secretfile),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180])]) ).

cnf(c_0_194,negated_conjecture,
    ~ admin_indi_may_file(admin,alice,secretfile,read),
    inference(split_conjunct,[status(thm)],[c_0_181]) ).

cnf(c_0_195,hypothesis,
    ( ~ admin_file_has_citizenship(admin,X1,usa)
    | admin_indi_has_citizenship_for_file(admin,alice,X1) ),
    inference(spm,[status(thm)],[c_0_182,c_0_126]) ).

cnf(c_0_196,hypothesis,
    admin_file_has_citizenship(admin,secretfile,usa),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]),c_0_165]),c_0_89])]) ).

fof(c_0_197,plain,
    ! [X96,X97,X98,X99,X100,X101,X102] :
      ( admin_indi_has_background_for_compartment(admin,X96,X97)
      | ~ admin_indi_has_background(admin,X96,X100)
      | ~ oca_compartment_is_compartment(X98,X97,X99,X100,X101,X102)
      | ~ system_indi_is_oca(system,X98) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])])]) ).

fof(c_0_198,plain,
    ! [X75] : admin_indi_has_background(admin,X75,unclassified),
    inference(variable_rename,[status(thm)],[ax19]) ).

fof(c_0_199,plain,
    ! [X128,X129,X130,X131,X132,X133] :
      ( admin_indi_has_credit_for_compartment(admin,X128,X129)
      | ~ oca_compartment_is_compartment(X130,X129,X131,X132,no,X133)
      | ~ system_indi_is_oca(system,X130) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax33])])]) ).

fof(c_0_200,plain,
    ! [X116,X117,X118,X119,X120,X121] :
      ( admin_indi_has_polygraph_for_compartment(admin,X116,X117)
      | ~ oca_compartment_is_compartment(X118,X117,X119,X120,X121,no)
      | ~ system_indi_is_oca(system,X118) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax31])])]) ).

cnf(c_0_201,plain,
    ( ~ admin_indi_has_compartments(admin,X3,X2)
    | ~ admin_file_has_compartments(admin,X1,X2)
    | admin_indi_has_compartments_for_file(admin,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_186]) ).

cnf(c_0_202,hypothesis,
    ( ~ admin_indi_has_compartments(admin,alice,X1)
    | ~ admin_indi_has_polygraph_for_compartment(admin,alice,compartmentb)
    | ~ admin_indi_has_credit_for_compartment(admin,alice,compartmentb)
    | ~ admin_indi_has_background_for_compartment(admin,alice,compartmentb)
    | ~ admin_indi_has_level_for_compartment(admin,alice,compartmentb)
    | admin_indi_has_compartments(admin,alice,cons(compartmentb,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189]),c_0_126]),c_0_127]),c_0_82])]) ).

cnf(c_0_203,hypothesis,
    ( ~ admin_indi_has_compartments_for_file(admin,alice,secretfile)
    | ~ admin_indi_has_citizenship_for_file(admin,alice,secretfile) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_192]),c_0_193])]),c_0_194]) ).

cnf(c_0_204,hypothesis,
    admin_indi_has_citizenship_for_file(admin,alice,secretfile),
    inference(spm,[status(thm)],[c_0_195,c_0_196]) ).

cnf(c_0_205,plain,
    ( ~ admin_indi_has_background(admin,X7,X4)
    | ~ oca_compartment_is_compartment(X1,X2,X3,X4,X5,X6)
    | ~ system_indi_is_oca(system,X1)
    | admin_indi_has_background_for_compartment(admin,X7,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_197]) ).

cnf(c_0_206,hypothesis,
    oca_compartment_is_compartment(oca,compartmenta,sbu,unclassified,no,no),
    inference(split_conjunct,[status(thm)],[ax43]) ).

cnf(c_0_207,plain,
    admin_indi_has_background(admin,X1,unclassified),
    inference(split_conjunct,[status(thm)],[c_0_198]) ).

cnf(c_0_208,plain,
    ( ~ oca_compartment_is_compartment(X1,X2,X3,X4,no,X5)
    | ~ system_indi_is_oca(system,X1)
    | admin_indi_has_credit_for_compartment(admin,X6,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_199]) ).

cnf(c_0_209,plain,
    ( ~ oca_compartment_is_compartment(X1,X2,X3,X4,X5,no)
    | ~ system_indi_is_oca(system,X1)
    | admin_indi_has_polygraph_for_compartment(admin,X6,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_200]) ).

cnf(c_0_210,hypothesis,
    ( ~ admin_file_has_compartments(admin,X1,cons(compartmentb,X2))
    | ~ admin_indi_has_compartments(admin,alice,X2)
    | ~ admin_indi_has_polygraph_for_compartment(admin,alice,compartmentb)
    | ~ admin_indi_has_credit_for_compartment(admin,alice,compartmentb)
    | ~ admin_indi_has_background_for_compartment(admin,alice,compartmentb)
    | ~ admin_indi_has_level_for_compartment(admin,alice,compartmentb)
    | admin_indi_has_compartments_for_file(admin,alice,X1) ),
    inference(spm,[status(thm)],[c_0_201,c_0_202]) ).

cnf(c_0_211,hypothesis,
    ~ admin_indi_has_compartments_for_file(admin,alice,secretfile),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_204])]) ).

cnf(c_0_212,hypothesis,
    sso_indi_has_compartment(sso_compartmenta,alice,compartmenta),
    inference(split_conjunct,[status(thm)],[ax81]) ).

cnf(c_0_213,hypothesis,
    admin_indi_has_background_for_compartment(admin,X1,compartmenta),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207]),c_0_140])]) ).

cnf(c_0_214,hypothesis,
    admin_indi_has_credit_for_compartment(admin,X1,compartmenta),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_206]),c_0_140])]) ).

cnf(c_0_215,hypothesis,
    admin_indi_has_polygraph_for_compartment(admin,X1,compartmenta),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_206]),c_0_140])]) ).

cnf(c_0_216,hypothesis,
    system_indi_needs_compartment(system,alice,compartmenta),
    inference(split_conjunct,[status(thm)],[ax79]) ).

fof(c_0_217,plain,
    ! [X91] : admin_indi_has_compartments(admin,X91,nil),
    inference(variable_rename,[status(thm)],[ax26]) ).

fof(c_0_218,plain,
    ! [X103,X104,X105,X106,X107,X108,X109] :
      ( admin_indi_has_level_for_compartment(admin,X103,X104)
      | ~ admin_indi_has_level(admin,X103,X106)
      | ~ oca_compartment_is_compartment(X105,X104,X106,X107,X108,X109)
      | ~ system_indi_is_oca(system,X105) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])])]) ).

cnf(c_0_219,hypothesis,
    ( ~ admin_indi_has_compartments(admin,alice,cons(compartmenta,nil))
    | ~ admin_indi_has_polygraph_for_compartment(admin,alice,compartmentb)
    | ~ admin_indi_has_credit_for_compartment(admin,alice,compartmentb)
    | ~ admin_indi_has_background_for_compartment(admin,alice,compartmentb)
    | ~ admin_indi_has_level_for_compartment(admin,alice,compartmentb) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_150]),c_0_211]) ).

cnf(c_0_220,hypothesis,
    ( ~ admin_indi_has_compartments(admin,alice,X1)
    | ~ admin_indi_has_level_for_compartment(admin,alice,compartmenta)
    | admin_indi_has_compartments(admin,alice,cons(compartmenta,X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_212]),c_0_213]),c_0_214]),c_0_215]),c_0_216]),c_0_126]),c_0_127]),c_0_89])]) ).

cnf(c_0_221,plain,
    admin_indi_has_compartments(admin,X1,nil),
    inference(split_conjunct,[status(thm)],[c_0_217]) ).

cnf(c_0_222,plain,
    ( ~ admin_indi_has_level(admin,X7,X3)
    | ~ oca_compartment_is_compartment(X1,X2,X3,X4,X5,X6)
    | ~ system_indi_is_oca(system,X1)
    | admin_indi_has_level_for_compartment(admin,X7,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_218]) ).

cnf(c_0_223,hypothesis,
    ( ~ admin_indi_has_polygraph_for_compartment(admin,alice,compartmentb)
    | ~ admin_indi_has_credit_for_compartment(admin,alice,compartmentb)
    | ~ admin_indi_has_background_for_compartment(admin,alice,compartmentb)
    | ~ admin_indi_has_level_for_compartment(admin,alice,compartmenta)
    | ~ admin_indi_has_level_for_compartment(admin,alice,compartmentb) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221])]) ).

cnf(c_0_224,hypothesis,
    ( ~ admin_indi_has_level(admin,X1,sbu)
    | admin_indi_has_level_for_compartment(admin,X1,compartmenta) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_206]),c_0_140])]) ).

cnf(c_0_225,hypothesis,
    oca_compartment_is_compartment(oca,compartmentb,confidential,topsecret,yes,yes),
    inference(split_conjunct,[status(thm)],[ax42]) ).

cnf(c_0_226,hypothesis,
    ( ~ admin_indi_has_level(admin,alice,sbu)
    | ~ admin_indi_has_polygraph_for_compartment(admin,alice,compartmentb)
    | ~ admin_indi_has_credit_for_compartment(admin,alice,compartmentb)
    | ~ admin_indi_has_background_for_compartment(admin,alice,compartmentb)
    | ~ admin_indi_has_level_for_compartment(admin,alice,compartmentb) ),
    inference(spm,[status(thm)],[c_0_223,c_0_224]) ).

cnf(c_0_227,hypothesis,
    ( ~ admin_indi_has_level(admin,X1,confidential)
    | admin_indi_has_level_for_compartment(admin,X1,compartmentb) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_225]),c_0_140])]) ).

cnf(c_0_228,plain,
    ( ~ system_indi_is_background_admin(system,X3)
    | ~ background_admin_indi_has_background(X3,X1,X2)
    | admin_indi_has_background(admin,X1,X2) ),
    inference(spm,[status(thm)],[c_0_94,c_0_177]) ).

fof(c_0_229,plain,
    ! [X122,X123,X124,X125,X126,X127] :
      ( admin_indi_has_credit_for_compartment(admin,X122,X123)
      | ~ admin_indi_has_credit(admin,X122)
      | ~ oca_compartment_is_compartment(X124,X123,X125,X126,yes,X127)
      | ~ system_indi_is_oca(system,X124) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax32])])]) ).

cnf(c_0_230,hypothesis,
    ( ~ admin_indi_has_level(admin,alice,confidential)
    | ~ admin_indi_has_level(admin,alice,sbu)
    | ~ admin_indi_has_polygraph_for_compartment(admin,alice,compartmentb)
    | ~ admin_indi_has_credit_for_compartment(admin,alice,compartmentb)
    | ~ admin_indi_has_background_for_compartment(admin,alice,compartmentb) ),
    inference(spm,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_231,hypothesis,
    ( ~ admin_indi_has_background(admin,X1,topsecret)
    | admin_indi_has_background_for_compartment(admin,X1,compartmentb) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_225]),c_0_140])]) ).

cnf(c_0_232,hypothesis,
    admin_indi_has_background(admin,alice,topsecret),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_114]),c_0_115])]) ).

cnf(c_0_233,plain,
    ( ~ admin_indi_has_credit(admin,X6)
    | ~ oca_compartment_is_compartment(X1,X2,X3,X4,yes,X5)
    | ~ system_indi_is_oca(system,X1)
    | admin_indi_has_credit_for_compartment(admin,X6,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_229]) ).

fof(c_0_234,plain,
    ! [X110,X111,X112,X113,X114,X115] :
      ( admin_indi_has_polygraph_for_compartment(admin,X110,X111)
      | ~ admin_indi_has_polygraph(admin,X110)
      | ~ oca_compartment_is_compartment(X112,X111,X113,X114,X115,yes)
      | ~ system_indi_is_oca(system,X112) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])])]) ).

fof(c_0_235,plain,
    ! [X26] : loca_level_direct_below(X26,confidential,secret),
    inference(variable_rename,[status(thm)],[ax2]) ).

fof(c_0_236,plain,
    ! [X25] : loca_level_direct_below(X25,sbu,confidential),
    inference(variable_rename,[status(thm)],[ax1]) ).

cnf(c_0_237,hypothesis,
    ( ~ admin_indi_has_level(admin,alice,confidential)
    | ~ admin_indi_has_level(admin,alice,sbu)
    | ~ admin_indi_has_polygraph_for_compartment(admin,alice,compartmentb)
    | ~ admin_indi_has_credit_for_compartment(admin,alice,compartmentb) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_232])]) ).

cnf(c_0_238,hypothesis,
    ( ~ admin_indi_has_credit(admin,X1)
    | admin_indi_has_credit_for_compartment(admin,X1,compartmentb) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_225]),c_0_140])]) ).

cnf(c_0_239,plain,
    ( ~ admin_indi_has_polygraph(admin,X6)
    | ~ oca_compartment_is_compartment(X1,X2,X3,X4,X5,yes)
    | ~ system_indi_is_oca(system,X1)
    | admin_indi_has_polygraph_for_compartment(admin,X6,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_234]) ).

cnf(c_0_240,plain,
    loca_level_direct_below(X1,confidential,secret),
    inference(split_conjunct,[status(thm)],[c_0_235]) ).

cnf(c_0_241,plain,
    loca_level_direct_below(X1,sbu,confidential),
    inference(split_conjunct,[status(thm)],[c_0_236]) ).

cnf(c_0_242,hypothesis,
    ( ~ admin_indi_has_level(admin,alice,confidential)
    | ~ admin_indi_has_level(admin,alice,sbu)
    | ~ admin_indi_has_polygraph_for_compartment(admin,alice,compartmentb) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_128])]) ).

cnf(c_0_243,hypothesis,
    ( ~ admin_indi_has_polygraph(admin,X1)
    | admin_indi_has_polygraph_for_compartment(admin,X1,compartmentb) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_225]),c_0_140])]) ).

cnf(c_0_244,plain,
    ( ~ loca_level_below(X1,X2,confidential)
    | loca_level_below(X1,X2,secret) ),
    inference(spm,[status(thm)],[c_0_85,c_0_240]) ).

cnf(c_0_245,plain,
    ( ~ loca_level_below(X1,X2,sbu)
    | loca_level_below(X1,X2,confidential) ),
    inference(spm,[status(thm)],[c_0_85,c_0_241]) ).

cnf(c_0_246,hypothesis,
    ( ~ admin_indi_has_level(admin,alice,confidential)
    | ~ admin_indi_has_level(admin,alice,sbu) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_129])]) ).

cnf(c_0_247,plain,
    loca_level_below(X1,confidential,secret),
    inference(spm,[status(thm)],[c_0_244,c_0_177]) ).

cnf(c_0_248,plain,
    ( ~ loca_level_below(X1,X2,sbu)
    | loca_level_below(X1,X2,secret) ),
    inference(spm,[status(thm)],[c_0_244,c_0_245]) ).

cnf(c_0_249,hypothesis,
    ~ admin_indi_has_level(admin,alice,sbu),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_161]),c_0_247])]) ).

cnf(c_0_250,plain,
    loca_level_below(X1,sbu,secret),
    inference(spm,[status(thm)],[c_0_248,c_0_177]) ).

cnf(c_0_251,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_161]),c_0_250])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV437+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/5.37  % Computer : n010.cluster.edu
% 0.10/5.37  % Model    : x86_64 x86_64
% 0.10/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37  % Memory   : 8046.5625MB
% 0.10/5.37  % OS       : Linux 6.8.0-71-generic
% 0.10/5.37  % CPULimit : 300
% 0.10/5.37  % WCLimit  : 300
% 0.10/5.37  % DateTime : Mon Sep 21 08:52:24 UTC 2026
% 0.10/5.38  % CPUTime  : 
% 0.10/5.38  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.42  Running first-order theorem proving
% 0.15/5.42  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.46  % Version: 3.5.1
% 0.15/5.46  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/5.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.46  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/5.46  % Starting new_bool_3 with 300s (1) cores
% 0.15/5.46  % Starting new_bool_1 with 300s (1) cores
% 0.15/5.46  % Starting sh5l with 300s (1) cores
% 0.15/5.46  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 524629 completed with status 0
% 0.15/5.46  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.15/5.46  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/5.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.46  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/5.46  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.46  % No SInE strategy applied
% 0.15/5.46  % Search class: FHUNM-FFMM22-SFFFFFNN
% 0.15/5.46  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.46  % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.46  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.15/5.46  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S3S with 136s (1) cores
% 0.15/5.46  % Starting new_bool_3 with 136s (1) cores
% 0.15/5.46  % Starting new_bool_1 with 136s (1) cores
% 0.15/5.46  % SubtermCWHack with pid 524633 completed with status 0
% 0.15/5.46  % Result found by SubtermCWHack
% 0.15/5.46  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/5.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.46  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/5.46  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.46  % No SInE strategy applied
% 0.15/5.46  % Search class: FHUNM-FFMM22-SFFFFFNN
% 0.15/5.46  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.46  % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.46  % Preprocessing time       : 0.001 s
% 0.15/5.46  
% 0.15/5.46  % Proof found!
% 0.15/5.46  % SZS status Theorem
% 0.15/5.46  % SZS output start CNFRefutation
% See solution above
% 0.15/5.46  % Parsed axioms                        : 88
% 0.15/5.46  % Removed by relevancy pruning/SinE    : 0
% 0.15/5.46  % Initial clauses                      : 88
% 0.15/5.46  % Removed in clause preprocessing      : 0
% 0.15/5.46  % Initial clauses in saturation        : 88
% 0.15/5.46  % Processed clauses                    : 203
% 0.15/5.46  % ...of these trivial                  : 0
% 0.15/5.46  % ...subsumed                          : 4
% 0.15/5.46  % ...remaining for further processing  : 199
% 0.15/5.46  % Other redundant clauses eliminated   : 0
% 0.15/5.46  % Clauses deleted for lack of memory   : 0
% 0.15/5.46  % Backward-subsumed                    : 9
% 0.15/5.46  % Backward-rewritten                   : 9
% 0.15/5.46  % Generated clauses                    : 134
% 0.15/5.46  % ...of the previous two non-redundant : 133
% 0.15/5.46  % ...aggressively subsumed             : 0
% 0.15/5.46  % Contextual simplify-reflections      : 4
% 0.15/5.46  % Paramodulations                      : 134
% 0.15/5.46  % Factorizations                       : 0
% 0.15/5.46  % NegExts                              : 0
% 0.15/5.46  % Equation resolutions                 : 0
% 0.15/5.46  % Disequality decompositions           : 0
% 0.15/5.46  % Total rewrite steps                  : 89
% 0.15/5.46  % ...of those cached                   : 47
% 0.15/5.46  % Propositional unsat checks           : 0
% 0.15/5.46  %    Propositional check models        : 0
% 0.15/5.46  %    Propositional check unsatisfiable : 0
% 0.15/5.46  %    Propositional clauses             : 0
% 0.15/5.46  %    Propositional clauses after purity: 0
% 0.15/5.46  %    Propositional unsat core size     : 0
% 0.15/5.46  %    Propositional preprocessing time  : 0.000
% 0.15/5.46  %    Propositional encoding time       : 0.000
% 0.15/5.46  %    Propositional solver time         : 0.000
% 0.15/5.46  %    Success case prop preproc time    : 0.000
% 0.15/5.46  %    Success case prop encoding time   : 0.000
% 0.15/5.46  %    Success case prop solver time     : 0.000
% 0.15/5.46  % Current number of processed clauses  : 181
% 0.15/5.46  %    Positive orientable unit clauses  : 83
% 0.15/5.46  %    Positive unorientable unit clauses: 0
% 0.15/5.46  %    Negative unit clauses             : 4
% 0.15/5.46  %    Non-unit-clauses                  : 94
% 0.15/5.46  % Current number of unprocessed clauses: 12
% 0.15/5.46  % ...number of literals in the above   : 55
% 0.15/5.46  % Current number of archived formulas  : 0
% 0.15/5.46  % Current number of archived clauses   : 18
% 0.15/5.46  % Clause-clause subsumption calls (NU) : 2882
% 0.15/5.46  % Rec. Clause-clause subsumption calls : 853
% 0.15/5.46  % Non-unit clause-clause subsumptions  : 10
% 0.15/5.46  % Unit Clause-clause subsumption calls : 214
% 0.15/5.46  % Rewrite failures with RHS unbound    : 0
% 0.15/5.46  % BW rewrite match attempts            : 17
% 0.15/5.46  % BW rewrite match successes           : 5
% 0.15/5.46  % Condensation attempts                : 0
% 0.15/5.46  % Condensation successes               : 0
% 0.15/5.46  % Termbank termtop insertions          : 10026
% 0.15/5.46  % Search garbage collected termcells   : 820
% 0.15/5.46  
% 0.15/5.46  % -------------------------------------------------
% 0.15/5.46  % User time                : 0.014 s
% 0.15/5.46  % System time              : 0.004 s
% 0.15/5.46  % Total time               : 0.019 s
% 0.15/5.46  % Maximum resident set size: 3996 pages
% 0.15/5.46  
% 0.15/5.46  % -------------------------------------------------
% 0.15/5.46  % User time                : 0.051 s
% 0.15/5.46  % System time              : 0.022 s
% 0.15/5.46  % Total time               : 0.073 s
% 0.15/5.46  % Maximum resident set size: 4864 pages
% 0.15/5.46  % E exiting
%------------------------------------------------------------------------------