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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : SWV437+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n019.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 09:02:25 AM UTC 2026

% Result   : Theorem 13.50s 2.86s
% Output   : CNFRefutation 13.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   68
% Syntax   : Number of formulae    :  272 ( 124 unt;   0 def)
%            Number of atoms       :  714 (   0 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  814 ( 372   ~; 365   |;   0   &)
%                                         (   0 <=>;  77  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   51 (  50 usr;   1 prp; 0-6 aty)
%            Number of functors    :   28 (  28 usr;  27 con; 0-2 aty)
%            Number of variables   :  374 (  43 sgn 109   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax41,hypothesis,
    'system$uindi$uis$uoca'(system,oca) ).

fof(ax42,hypothesis,
    'oca$ucompartment$uis$ucompartment'(oca,compartmentb,confidential,topsecret,yes,yes) ).

fof(ax43,hypothesis,
    'oca$ucompartment$uis$ucompartment'(oca,compartmenta,sbu,unclassified,no,no) ).

fof(ax44,hypothesis,
    'system$ucompartment$uhas$usso'(system,compartmentb,'sso$ucompartmentb') ).

fof(ax45,hypothesis,
    'oca$ucompartment$uhas$uscg'(oca,compartmentb,'scg$ucompartmentb') ).

fof(ax46,hypothesis,
    'sso$ucompartment$uhas$uscg'('sso$ucompartmentb',compartmentb,'scg$ucompartmentb') ).

fof(ax47,hypothesis,
    'system$ucompartment$uhas$usso'(system,compartmenta,'sso$ucompartmenta') ).

fof(ax48,hypothesis,
    'oca$ucompartment$uhas$uscg'(oca,compartmenta,'scg$ucompartmenta') ).

fof(ax49,hypothesis,
    'sso$ucompartment$uhas$uscg'('sso$ucompartmenta',compartmenta,'scg$ucompartmenta') ).

fof(ax50,hypothesis,
    'state$ufile$uis$unot$uworking$upaper'(secretfile) ).

fof(ax51,hypothesis,
    'system$ufile$uneeds$ucompartments'(system,secretfile,cons(compartmentb,cons(compartmenta,nil))) ).

fof(ax52,hypothesis,
    'sso$ufile$uhas$ucompartments'('sso$ucompartmentb',secretfile,cons(compartmentb,cons(compartmenta,nil))) ).

fof(ax53,hypothesis,
    'sso$ufile$uhas$ucompartments'('sso$ucompartmenta',secretfile,cons(compartmentb,cons(compartmenta,nil))) ).

fof(ax54,hypothesis,
    'system$ufile$uneeds$ulevel'(system,secretfile,secret) ).

fof(ax55,hypothesis,
    'sso$ufile$uhas$ulevel'('sso$ucompartmentb',secretfile,secret,'scg$ucompartmentb') ).

fof(ax56,hypothesis,
    'sso$ufile$uhas$ulevel'('sso$ucompartmenta',secretfile,secret,'scg$ucompartmenta') ).

fof(ax60,hypothesis,
    'state$ufile$uhas$uowner'(secretfile,'owner$usecretfile') ).

fof(ax66,hypothesis,
    'system$uindi$uis$upolygraph$uadmin'(system,'polygraph$uadmin') ).

fof(ax67,hypothesis,
    'system$uindi$uis$ucredit$uadmin'(system,'credit$uadmin') ).

fof(ax68,hypothesis,
    'system$uindi$uis$ubackground$uadmin'(system,'background$uadmin') ).

fof(ax69,hypothesis,
    'system$uindi$uis$uhr$uadmin'(system,'hr$uadmin') ).

fof(ax70,hypothesis,
    'system$uindi$uis$ulevel$uadmin'(system,'level$uadmin') ).

fof(ax71,hypothesis,
    'system$uindi$uhas$ucitizenship'(system,alice,usa) ).

fof(ax72,hypothesis,
    'polygraph$uadmin$uindi$uhas$upolygraph'('polygraph$uadmin',alice) ).

fof(ax73,hypothesis,
    'credit$uadmin$uindi$uhas$ucredit'('credit$uadmin',alice) ).

fof(ax74,hypothesis,
    'background$uadmin$uindi$uhas$ubackground'('background$uadmin',alice,topsecret) ).

fof(ax75,hypothesis,
    'hr$uadmin$uindi$uhas$uemployment'('hr$uadmin',alice) ).

fof(ax76,hypothesis,
    'system$uindi$uneeds$ulevel'(system,alice,secret) ).

fof(ax77,hypothesis,
    'level$uadmin$uindi$uhas$ulevel'('level$uadmin',alice,topsecret) ).

fof(ax78,hypothesis,
    'system$uindi$uneeds$ucompartment'(system,alice,compartmentb) ).

fof(ax79,hypothesis,
    'system$uindi$uneeds$ucompartment'(system,alice,compartmenta) ).

fof(ax80,hypothesis,
    'sso$uindi$uhas$ucompartment'('sso$ucompartmentb',alice,compartmentb) ).

fof(ax81,hypothesis,
    'sso$uindi$uhas$ucompartment'('sso$ucompartmenta',alice,compartmenta) ).

fof(ax82,hypothesis,
    'owner$uindi$uhas$uneed$uto$uknow'('owner$usecretfile',alice,secretfile) ).

fof(ax1,axiom,
    ! [X0] : 'loca$ulevel$udirect$ubelow'(X0,sbu,confidential) ).

fof(ax2,axiom,
    ! [X0] : 'loca$ulevel$udirect$ubelow'(X0,confidential,secret) ).

fof(ax3,axiom,
    ! [X0] : 'loca$ulevel$udirect$ubelow'(X0,secret,topsecret) ).

fof(ax4,axiom,
    ! [X0,X1] : 'loca$ulevel$ubelow'(X0,X1,X1) ).

fof(ax5,axiom,
    ! [X0,X1,X2,X3] :
      ( 'loca$ulevel$udirect$ubelow'(X0,X2,X3)
     => ( 'loca$ulevel$ubelow'(X0,X1,X2)
       => 'loca$ulevel$ubelow'(X0,X1,X3) ) ) ).

fof(ax6,axiom,
    ! [X0,X1] :
      ( 'system$ucompartment$uhas$usso'(system,X0,X1)
     => 'admin$ucompartment$uhas$usso'(admin,X0,X1) ) ).

fof(ax7,axiom,
    ! [X0,X1,X2,X3] :
      ( 'system$uindi$uis$uoca'(system,X0)
     => ( 'oca$ucompartment$uhas$uscg'(X0,X1,X3)
       => ( 'admin$ucompartment$uhas$usso'(admin,X1,X2)
         => ( 'sso$ucompartment$uhas$uscg'(X2,X1,X3)
           => 'admin$ucompartment$uhas$uscg'(admin,X1,X3) ) ) ) ) ).

fof(ax8,axiom,
    ! [X0,X1] :
      ( 'system$ufile$uneeds$ucompartments'(system,X0,X1)
     => ( 'admin$ufile$uhas$ucompartments$uh'(admin,X0,X1,X1)
       => 'admin$ufile$uhas$ucompartments'(admin,X0,X1) ) ) ).

fof(ax9,axiom,
    ! [X0,X1] : 'admin$ufile$uhas$ucompartments$uh'(admin,X0,X1,nil) ).

fof(ax10,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( 'admin$ucompartment$uhas$usso'(admin,X2,X4)
     => ( 'sso$ufile$uhas$ucompartments'(X4,X0,X1)
       => ( 'admin$ufile$uhas$ucompartments$uh'(admin,X0,X1,X3)
         => 'admin$ufile$uhas$ucompartments$uh'(admin,X0,X1,cons(X2,X3)) ) ) ) ).

fof(ax11,axiom,
    ! [X0,X1,X2] :
      ( 'system$ufile$uneeds$ulevel'(system,X0,X1)
     => ( 'admin$ufile$uhas$ucompartments'(admin,X0,X2)
       => ( 'admin$ufile$uhas$ulevel$uh'(admin,X0,X1,X2)
         => 'admin$ufile$uhas$ulevel'(admin,X0,X1) ) ) ) ).

fof(ax12,axiom,
    ! [X0,X1] : 'admin$ufile$uhas$ulevel$uh'(admin,X0,X1,nil) ).

fof(ax13,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( 'admin$ucompartment$uhas$usso'(admin,X2,X4)
     => ( 'admin$ucompartment$uhas$uscg'(admin,X2,X5)
       => ( 'sso$ufile$uhas$ulevel'(X4,X0,X1,X5)
         => ( 'admin$ufile$uhas$ulevel$uh'(admin,X0,X1,X3)
           => 'admin$ufile$uhas$ulevel$uh'(admin,X0,X1,cons(X2,X3)) ) ) ) ) ).

fof(ax17,axiom,
    ! [X0,X1] :
      ( 'system$uindi$uis$upolygraph$uadmin'(system,X1)
     => ( 'polygraph$uadmin$uindi$uhas$upolygraph'(X1,X0)
       => 'admin$uindi$uhas$upolygraph'(admin,X0) ) ) ).

fof(ax18,axiom,
    ! [X0,X1] :
      ( 'system$uindi$uis$ucredit$uadmin'(system,X1)
     => ( 'credit$uadmin$uindi$uhas$ucredit'(X1,X0)
       => 'admin$uindi$uhas$ucredit'(admin,X0) ) ) ).

fof(ax19,axiom,
    ! [X0] : 'admin$uindi$uhas$ubackground'(admin,X0,unclassified) ).

fof(ax20,axiom,
    ! [X0,X1,X2,X3] :
      ( 'system$uindi$uis$ubackground$uadmin'(system,X2)
     => ( 'background$uadmin$uindi$uhas$ubackground'(X2,X0,X3)
       => ( 'loca$ulevel$ubelow'(admin,X1,X3)
         => 'admin$uindi$uhas$ubackground'(admin,X0,X1) ) ) ) ).

fof(ax21,axiom,
    ! [X0,X1] :
      ( 'system$uindi$uis$uhr$uadmin'(system,X1)
     => ( 'hr$uadmin$uindi$uhas$uemployment'(X1,X0)
       => 'admin$uindi$uhas$uemployment'(admin,X0) ) ) ).

fof(ax23,axiom,
    ! [X0,X1] :
      ( 'system$uindi$uhas$ucitizenship'(system,X0,X1)
     => 'admin$uindi$uhas$ucitizenship'(admin,X0,X1) ) ).

fof(ax25,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( 'system$uindi$uneeds$ulevel'(system,X0,X2)
     => ( 'admin$uindi$uhas$ucitizenship'(admin,X0,usa)
       => ( 'admin$uindi$uhas$upolygraph'(admin,X0)
         => ( 'admin$uindi$uhas$uemployment'(admin,X0)
           => ( 'admin$uindi$uhas$ucredit'(admin,X0)
             => ( 'loca$ulevel$ubelow'(admin,X1,X2)
               => ( 'system$uindi$uis$ulevel$uadmin'(system,X3)
                 => ( 'level$uadmin$uindi$uhas$ulevel'(X3,X0,X4)
                   => ( 'loca$ulevel$ubelow'(admin,X1,X4)
                     => ( 'admin$uindi$uhas$ubackground'(admin,X0,X1)
                       => 'admin$uindi$uhas$ulevel'(admin,X0,X1) ) ) ) ) ) ) ) ) ) ) ).

fof(ax26,axiom,
    ! [X0] : 'admin$uindi$uhas$ucompartments'(admin,X0,nil) ).

fof(ax27,axiom,
    ! [X0,X1,X2,X3] :
      ( 'system$uindi$uneeds$ucompartment'(system,X0,X1)
     => ( 'admin$uindi$uhas$uemployment'(admin,X0)
       => ( 'admin$uindi$uhas$ucitizenship'(admin,X0,usa)
         => ( 'admin$uindi$uhas$upolygraph$ufor$ucompartment'(admin,X0,X1)
           => ( 'admin$uindi$uhas$ucredit$ufor$ucompartment'(admin,X0,X1)
             => ( 'admin$ucompartment$uhas$usso'(admin,X1,X3)
               => ( 'sso$uindi$uhas$ucompartment'(X3,X0,X1)
                 => ( 'admin$uindi$uhas$ubackground$ufor$ucompartment'(admin,X0,X1)
                   => ( 'admin$uindi$uhas$ulevel$ufor$ucompartment'(admin,X0,X1)
                     => ( 'admin$uindi$uhas$ucompartments'(admin,X0,X2)
                       => 'admin$uindi$uhas$ucompartments'(admin,X0,cons(X1,X2)) ) ) ) ) ) ) ) ) ) ) ).

fof(ax28,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( 'system$uindi$uis$uoca'(system,X2)
     => ( 'oca$ucompartment$uis$ucompartment'(X2,X1,X3,X4,X5,X6)
       => ( 'admin$uindi$uhas$ubackground'(admin,X0,X4)
         => 'admin$uindi$uhas$ubackground$ufor$ucompartment'(admin,X0,X1) ) ) ) ).

fof(ax29,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( 'system$uindi$uis$uoca'(system,X2)
     => ( 'oca$ucompartment$uis$ucompartment'(X2,X1,X3,X4,X5,X6)
       => ( 'admin$uindi$uhas$ulevel'(admin,X0,X3)
         => 'admin$uindi$uhas$ulevel$ufor$ucompartment'(admin,X0,X1) ) ) ) ).

fof(ax30,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( 'system$uindi$uis$uoca'(system,X2)
     => ( 'oca$ucompartment$uis$ucompartment'(X2,X1,X3,X4,X5,yes)
       => ( 'admin$uindi$uhas$upolygraph'(admin,X0)
         => 'admin$uindi$uhas$upolygraph$ufor$ucompartment'(admin,X0,X1) ) ) ) ).

fof(ax31,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( 'system$uindi$uis$uoca'(system,X2)
     => ( 'oca$ucompartment$uis$ucompartment'(X2,X1,X3,X4,X5,no)
       => 'admin$uindi$uhas$upolygraph$ufor$ucompartment'(admin,X0,X1) ) ) ).

fof(ax32,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( 'system$uindi$uis$uoca'(system,X2)
     => ( 'oca$ucompartment$uis$ucompartment'(X2,X1,X3,X4,yes,X5)
       => ( 'admin$uindi$uhas$ucredit'(admin,X0)
         => 'admin$uindi$uhas$ucredit$ufor$ucompartment'(admin,X0,X1) ) ) ) ).

fof(ax33,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( 'system$uindi$uis$uoca'(system,X2)
     => ( 'oca$ucompartment$uis$ucompartment'(X2,X1,X3,X4,no,X5)
       => 'admin$uindi$uhas$ucredit$ufor$ucompartment'(admin,X0,X1) ) ) ).

fof(ax34,axiom,
    ! [X0,X1,X2] :
      ( 'admin$ufile$uhas$ucompartments'(admin,X1,X2)
     => ( 'admin$uindi$uhas$ucompartments'(admin,X0,X2)
       => 'admin$uindi$uhas$ucompartments$ufor$ufile'(admin,X0,X1) ) ) ).

fof(ax35,axiom,
    ! [X0,X1,X2] :
      ( 'admin$ufile$uhas$ulevel'(admin,X1,X2)
     => ( 'admin$uindi$uhas$ulevel'(admin,X0,X2)
       => 'admin$uindi$uhas$ulevel$ufor$ufile'(admin,X0,X1) ) ) ).

fof(ax36,axiom,
    ! [X0,X1,X2] :
      ( 'state$ufile$uhas$uowner'(X1,X2)
     => ( 'owner$uindi$uhas$uneed$uto$uknow'(X2,X0,X1)
       => 'admin$uindi$uhas$uneed$uto$uknow$ufor$ufile'(admin,X0,X1) ) ) ).

fof(ax38,axiom,
    ! [X0,X1] :
      ( 'admin$uindi$uhas$ucitizenship'(admin,X0,usa)
     => 'admin$uindi$uhas$ucitizenship$ufor$ufile'(admin,X0,X1) ) ).

fof(ax39,axiom,
    ! [X0,X1] :
      ( 'state$ufile$uis$unot$uworking$upaper'(X1)
     => ( 'admin$uindi$uhas$ucitizenship$ufor$ufile'(admin,X0,X1)
       => ( 'admin$uindi$uhas$uneed$uto$uknow$ufor$ufile'(admin,X0,X1)
         => ( 'admin$uindi$uhas$ulevel$ufor$ufile'(admin,X0,X1)
           => ( 'admin$uindi$uhas$ucompartments$ufor$ufile'(admin,X0,X1)
             => 'admin$uindi$umay$ufile'(admin,X0,X1,read) ) ) ) ) ) ).

fof(alicereadsecret,conjecture,
    'admin$uindi$umay$ufile'(admin,alice,secretfile,read) ).

fof(negated_conjecture,negated_conjecture,
    ~ 'admin$uindi$umay$ufile'(admin,alice,secretfile,read),
    inference(negate_conjecture,[status(cth)],[alicereadsecret]) ).

cnf(c0,plain,
    'system$uindi$uis$uoca'(system,oca),
    inference(clausification,[status(esa)],[ax41]) ).

cnf(c1,plain,
    'oca$ucompartment$uis$ucompartment'(oca,compartmentb,confidential,topsecret,yes,yes),
    inference(clausification,[status(esa)],[ax42]) ).

cnf(c2,plain,
    'oca$ucompartment$uis$ucompartment'(oca,compartmenta,sbu,unclassified,no,no),
    inference(clausification,[status(esa)],[ax43]) ).

cnf(c3,plain,
    'system$ucompartment$uhas$usso'(system,compartmentb,'sso$ucompartmentb'),
    inference(clausification,[status(esa)],[ax44]) ).

cnf(c4,plain,
    'oca$ucompartment$uhas$uscg'(oca,compartmentb,'scg$ucompartmentb'),
    inference(clausification,[status(esa)],[ax45]) ).

cnf(c5,plain,
    'sso$ucompartment$uhas$uscg'('sso$ucompartmentb',compartmentb,'scg$ucompartmentb'),
    inference(clausification,[status(esa)],[ax46]) ).

cnf(c6,plain,
    'system$ucompartment$uhas$usso'(system,compartmenta,'sso$ucompartmenta'),
    inference(clausification,[status(esa)],[ax47]) ).

cnf(c7,plain,
    'oca$ucompartment$uhas$uscg'(oca,compartmenta,'scg$ucompartmenta'),
    inference(clausification,[status(esa)],[ax48]) ).

cnf(c8,plain,
    'sso$ucompartment$uhas$uscg'('sso$ucompartmenta',compartmenta,'scg$ucompartmenta'),
    inference(clausification,[status(esa)],[ax49]) ).

cnf(c9,plain,
    'state$ufile$uis$unot$uworking$upaper'(secretfile),
    inference(clausification,[status(esa)],[ax50]) ).

cnf(c10,plain,
    'system$ufile$uneeds$ucompartments'(system,secretfile,cons(compartmentb,cons(compartmenta,nil))),
    inference(clausification,[status(esa)],[ax51]) ).

cnf(c11,plain,
    'sso$ufile$uhas$ucompartments'('sso$ucompartmentb',secretfile,cons(compartmentb,cons(compartmenta,nil))),
    inference(clausification,[status(esa)],[ax52]) ).

cnf(c12,plain,
    'sso$ufile$uhas$ucompartments'('sso$ucompartmenta',secretfile,cons(compartmentb,cons(compartmenta,nil))),
    inference(clausification,[status(esa)],[ax53]) ).

cnf(c13,plain,
    'system$ufile$uneeds$ulevel'(system,secretfile,secret),
    inference(clausification,[status(esa)],[ax54]) ).

cnf(c14,plain,
    'sso$ufile$uhas$ulevel'('sso$ucompartmentb',secretfile,secret,'scg$ucompartmentb'),
    inference(clausification,[status(esa)],[ax55]) ).

cnf(c15,plain,
    'sso$ufile$uhas$ulevel'('sso$ucompartmenta',secretfile,secret,'scg$ucompartmenta'),
    inference(clausification,[status(esa)],[ax56]) ).

cnf(c19,plain,
    'state$ufile$uhas$uowner'(secretfile,'owner$usecretfile'),
    inference(clausification,[status(esa)],[ax60]) ).

cnf(c25,plain,
    'system$uindi$uis$upolygraph$uadmin'(system,'polygraph$uadmin'),
    inference(clausification,[status(esa)],[ax66]) ).

cnf(c26,plain,
    'system$uindi$uis$ucredit$uadmin'(system,'credit$uadmin'),
    inference(clausification,[status(esa)],[ax67]) ).

cnf(c27,plain,
    'system$uindi$uis$ubackground$uadmin'(system,'background$uadmin'),
    inference(clausification,[status(esa)],[ax68]) ).

cnf(c28,plain,
    'system$uindi$uis$uhr$uadmin'(system,'hr$uadmin'),
    inference(clausification,[status(esa)],[ax69]) ).

cnf(c29,plain,
    'system$uindi$uis$ulevel$uadmin'(system,'level$uadmin'),
    inference(clausification,[status(esa)],[ax70]) ).

cnf(c30,plain,
    'system$uindi$uhas$ucitizenship'(system,alice,usa),
    inference(clausification,[status(esa)],[ax71]) ).

cnf(c31,plain,
    'polygraph$uadmin$uindi$uhas$upolygraph'('polygraph$uadmin',alice),
    inference(clausification,[status(esa)],[ax72]) ).

cnf(c32,plain,
    'credit$uadmin$uindi$uhas$ucredit'('credit$uadmin',alice),
    inference(clausification,[status(esa)],[ax73]) ).

cnf(c33,plain,
    'background$uadmin$uindi$uhas$ubackground'('background$uadmin',alice,topsecret),
    inference(clausification,[status(esa)],[ax74]) ).

cnf(c34,plain,
    'hr$uadmin$uindi$uhas$uemployment'('hr$uadmin',alice),
    inference(clausification,[status(esa)],[ax75]) ).

cnf(c35,plain,
    'system$uindi$uneeds$ulevel'(system,alice,secret),
    inference(clausification,[status(esa)],[ax76]) ).

cnf(c36,plain,
    'level$uadmin$uindi$uhas$ulevel'('level$uadmin',alice,topsecret),
    inference(clausification,[status(esa)],[ax77]) ).

cnf(c37,plain,
    'system$uindi$uneeds$ucompartment'(system,alice,compartmentb),
    inference(clausification,[status(esa)],[ax78]) ).

cnf(c38,plain,
    'system$uindi$uneeds$ucompartment'(system,alice,compartmenta),
    inference(clausification,[status(esa)],[ax79]) ).

cnf(c39,plain,
    'sso$uindi$uhas$ucompartment'('sso$ucompartmentb',alice,compartmentb),
    inference(clausification,[status(esa)],[ax80]) ).

cnf(c40,plain,
    'sso$uindi$uhas$ucompartment'('sso$ucompartmenta',alice,compartmenta),
    inference(clausification,[status(esa)],[ax81]) ).

cnf(c41,plain,
    'owner$uindi$uhas$uneed$uto$uknow'('owner$usecretfile',alice,secretfile),
    inference(clausification,[status(esa)],[ax82]) ).

cnf(c47,plain,
    'loca$ulevel$udirect$ubelow'(X0,sbu,confidential),
    inference(clausification,[status(esa)],[ax1]) ).

cnf(c48,plain,
    'loca$ulevel$udirect$ubelow'(X0,confidential,secret),
    inference(clausification,[status(esa)],[ax2]) ).

cnf(c49,plain,
    'loca$ulevel$udirect$ubelow'(X0,secret,topsecret),
    inference(clausification,[status(esa)],[ax3]) ).

cnf(c50,plain,
    'loca$ulevel$ubelow'(X0,X1,X1),
    inference(clausification,[status(esa)],[ax4]) ).

cnf(c51,plain,
    ( 'loca$ulevel$ubelow'(X0,X3,X2)
    | ~ 'loca$ulevel$ubelow'(X0,X3,X1)
    | ~ 'loca$ulevel$udirect$ubelow'(X0,X1,X2) ),
    inference(clausification,[status(esa)],[ax5]) ).

cnf(c52,plain,
    ( 'admin$ucompartment$uhas$usso'(admin,X0,X1)
    | ~ 'system$ucompartment$uhas$usso'(system,X0,X1) ),
    inference(clausification,[status(esa)],[ax6]) ).

cnf(c53,plain,
    ( ~ 'oca$ucompartment$uhas$uscg'(X3,X0,X2)
    | ~ 'system$uindi$uis$uoca'(system,X3)
    | ~ 'sso$ucompartment$uhas$uscg'(X1,X0,X2)
    | 'admin$ucompartment$uhas$uscg'(admin,X0,X2)
    | ~ 'admin$ucompartment$uhas$usso'(admin,X0,X1) ),
    inference(clausification,[status(esa)],[ax7]) ).

cnf(c54,plain,
    ( 'admin$ufile$uhas$ucompartments'(admin,X0,X1)
    | ~ 'admin$ufile$uhas$ucompartments$uh'(admin,X0,X1,X1)
    | ~ 'system$ufile$uneeds$ucompartments'(system,X0,X1) ),
    inference(clausification,[status(esa)],[ax8]) ).

cnf(c55,plain,
    'admin$ufile$uhas$ucompartments$uh'(admin,X0,X1,nil),
    inference(clausification,[status(esa)],[ax9]) ).

cnf(c56,plain,
    ( 'admin$ufile$uhas$ucompartments$uh'(admin,X2,X3,cons(X0,X4))
    | ~ 'admin$ufile$uhas$ucompartments$uh'(admin,X2,X3,X4)
    | ~ 'sso$ufile$uhas$ucompartments'(X1,X2,X3)
    | ~ 'admin$ucompartment$uhas$usso'(admin,X0,X1) ),
    inference(clausification,[status(esa)],[ax10]) ).

cnf(c57,plain,
    ( 'admin$ufile$uhas$ulevel'(admin,X0,X1)
    | ~ 'admin$ufile$uhas$ulevel$uh'(admin,X0,X1,X2)
    | ~ 'admin$ufile$uhas$ucompartments'(admin,X0,X2)
    | ~ 'system$ufile$uneeds$ulevel'(system,X0,X1) ),
    inference(clausification,[status(esa)],[ax11]) ).

cnf(c58,plain,
    'admin$ufile$uhas$ulevel$uh'(admin,X0,X1,nil),
    inference(clausification,[status(esa)],[ax12]) ).

cnf(c59,plain,
    ( ~ 'admin$ucompartment$uhas$usso'(admin,X0,X2)
    | 'admin$ufile$uhas$ulevel$uh'(admin,X3,X4,cons(X0,X5))
    | ~ 'admin$ufile$uhas$ulevel$uh'(admin,X3,X4,X5)
    | ~ 'sso$ufile$uhas$ulevel'(X2,X3,X4,X1)
    | ~ 'admin$ucompartment$uhas$uscg'(admin,X0,X1) ),
    inference(clausification,[status(esa)],[ax13]) ).

cnf(c63,plain,
    ( 'admin$uindi$uhas$upolygraph'(admin,X1)
    | ~ 'polygraph$uadmin$uindi$uhas$upolygraph'(X0,X1)
    | ~ 'system$uindi$uis$upolygraph$uadmin'(system,X0) ),
    inference(clausification,[status(esa)],[ax17]) ).

cnf(c64,plain,
    ( 'admin$uindi$uhas$ucredit'(admin,X1)
    | ~ 'credit$uadmin$uindi$uhas$ucredit'(X0,X1)
    | ~ 'system$uindi$uis$ucredit$uadmin'(system,X0) ),
    inference(clausification,[status(esa)],[ax18]) ).

cnf(c65,plain,
    'admin$uindi$uhas$ubackground'(admin,X0,unclassified),
    inference(clausification,[status(esa)],[ax19]) ).

cnf(c66,plain,
    ( 'admin$uindi$uhas$ubackground'(admin,X1,X3)
    | ~ 'loca$ulevel$ubelow'(admin,X3,X2)
    | ~ 'background$uadmin$uindi$uhas$ubackground'(X0,X1,X2)
    | ~ 'system$uindi$uis$ubackground$uadmin'(system,X0) ),
    inference(clausification,[status(esa)],[ax20]) ).

cnf(c67,plain,
    ( 'admin$uindi$uhas$uemployment'(admin,X1)
    | ~ 'hr$uadmin$uindi$uhas$uemployment'(X0,X1)
    | ~ 'system$uindi$uis$uhr$uadmin'(system,X0) ),
    inference(clausification,[status(esa)],[ax21]) ).

cnf(c69,plain,
    ( 'admin$uindi$uhas$ucitizenship'(admin,X0,X1)
    | ~ 'system$uindi$uhas$ucitizenship'(system,X0,X1) ),
    inference(clausification,[status(esa)],[ax23]) ).

cnf(c71,plain,
    ( ~ 'system$uindi$uneeds$ulevel'(system,X0,X4)
    | ~ 'admin$uindi$uhas$uemployment'(admin,X0)
    | ~ 'loca$ulevel$ubelow'(admin,X2,X3)
    | ~ 'admin$uindi$uhas$ucitizenship'(admin,X0,usa)
    | ~ 'loca$ulevel$ubelow'(admin,X2,X4)
    | ~ 'level$uadmin$uindi$uhas$ulevel'(X1,X0,X3)
    | ~ 'admin$uindi$uhas$ubackground'(admin,X0,X2)
    | 'admin$uindi$uhas$ulevel'(admin,X0,X2)
    | ~ 'admin$uindi$uhas$ucredit'(admin,X0)
    | ~ 'system$uindi$uis$ulevel$uadmin'(system,X1)
    | ~ 'admin$uindi$uhas$upolygraph'(admin,X0) ),
    inference(clausification,[status(esa)],[ax25]) ).

cnf(c72,plain,
    'admin$uindi$uhas$ucompartments'(admin,X0,nil),
    inference(clausification,[status(esa)],[ax26]) ).

cnf(c73,plain,
    ( ~ 'system$uindi$uneeds$ucompartment'(system,X0,X1)
    | ~ 'admin$uindi$uhas$upolygraph$ufor$ucompartment'(admin,X0,X1)
    | ~ 'admin$uindi$uhas$ubackground$ufor$ucompartment'(admin,X0,X1)
    | ~ 'admin$uindi$uhas$ulevel$ufor$ucompartment'(admin,X0,X1)
    | ~ 'sso$uindi$uhas$ucompartment'(X3,X0,X1)
    | ~ 'admin$ucompartment$uhas$usso'(admin,X1,X3)
    | 'admin$uindi$uhas$ucompartments'(admin,X0,cons(X1,X2))
    | ~ 'admin$uindi$uhas$uemployment'(admin,X0)
    | ~ 'admin$uindi$uhas$ucitizenship'(admin,X0,usa)
    | ~ 'admin$uindi$uhas$ucompartments'(admin,X0,X2)
    | ~ 'admin$uindi$uhas$ucredit$ufor$ucompartment'(admin,X0,X1) ),
    inference(clausification,[status(esa)],[ax27]) ).

cnf(c74,plain,
    ( 'admin$uindi$uhas$ubackground$ufor$ucompartment'(admin,X6,X1)
    | ~ 'admin$uindi$uhas$ubackground'(admin,X6,X3)
    | ~ 'oca$ucompartment$uis$ucompartment'(X0,X1,X2,X3,X4,X5)
    | ~ 'system$uindi$uis$uoca'(system,X0) ),
    inference(clausification,[status(esa)],[ax28]) ).

cnf(c75,plain,
    ( 'admin$uindi$uhas$ulevel$ufor$ucompartment'(admin,X6,X1)
    | ~ 'admin$uindi$uhas$ulevel'(admin,X6,X2)
    | ~ 'oca$ucompartment$uis$ucompartment'(X0,X1,X2,X3,X4,X5)
    | ~ 'system$uindi$uis$uoca'(system,X0) ),
    inference(clausification,[status(esa)],[ax29]) ).

cnf(c76,plain,
    ( 'admin$uindi$uhas$upolygraph$ufor$ucompartment'(admin,X5,X1)
    | ~ 'admin$uindi$uhas$upolygraph'(admin,X5)
    | ~ 'oca$ucompartment$uis$ucompartment'(X0,X1,X2,X3,X4,yes)
    | ~ 'system$uindi$uis$uoca'(system,X0) ),
    inference(clausification,[status(esa)],[ax30]) ).

cnf(c77,plain,
    ( 'admin$uindi$uhas$upolygraph$ufor$ucompartment'(admin,X5,X1)
    | ~ 'oca$ucompartment$uis$ucompartment'(X0,X1,X2,X3,X4,no)
    | ~ 'system$uindi$uis$uoca'(system,X0) ),
    inference(clausification,[status(esa)],[ax31]) ).

cnf(c78,plain,
    ( 'admin$uindi$uhas$ucredit$ufor$ucompartment'(admin,X5,X1)
    | ~ 'admin$uindi$uhas$ucredit'(admin,X5)
    | ~ 'oca$ucompartment$uis$ucompartment'(X0,X1,X2,X3,yes,X4)
    | ~ 'system$uindi$uis$uoca'(system,X0) ),
    inference(clausification,[status(esa)],[ax32]) ).

cnf(c79,plain,
    ( 'admin$uindi$uhas$ucredit$ufor$ucompartment'(admin,X5,X1)
    | ~ 'oca$ucompartment$uis$ucompartment'(X0,X1,X2,X3,no,X4)
    | ~ 'system$uindi$uis$uoca'(system,X0) ),
    inference(clausification,[status(esa)],[ax33]) ).

cnf(c80,plain,
    ( 'admin$uindi$uhas$ucompartments$ufor$ufile'(admin,X2,X0)
    | ~ 'admin$uindi$uhas$ucompartments'(admin,X2,X1)
    | ~ 'admin$ufile$uhas$ucompartments'(admin,X0,X1) ),
    inference(clausification,[status(esa)],[ax34]) ).

cnf(c81,plain,
    ( 'admin$uindi$uhas$ulevel$ufor$ufile'(admin,X2,X0)
    | ~ 'admin$uindi$uhas$ulevel'(admin,X2,X1)
    | ~ 'admin$ufile$uhas$ulevel'(admin,X0,X1) ),
    inference(clausification,[status(esa)],[ax35]) ).

cnf(c82,plain,
    ( 'admin$uindi$uhas$uneed$uto$uknow$ufor$ufile'(admin,X2,X0)
    | ~ 'owner$uindi$uhas$uneed$uto$uknow'(X1,X2,X0)
    | ~ 'state$ufile$uhas$uowner'(X0,X1) ),
    inference(clausification,[status(esa)],[ax36]) ).

cnf(c84,plain,
    ( 'admin$uindi$uhas$ucitizenship$ufor$ufile'(admin,X0,X1)
    | ~ 'admin$uindi$uhas$ucitizenship'(admin,X0,usa) ),
    inference(clausification,[status(esa)],[ax38]) ).

cnf(c85,plain,
    ( 'admin$uindi$umay$ufile'(admin,X0,X1,read)
    | ~ 'admin$uindi$uhas$uneed$uto$uknow$ufor$ufile'(admin,X0,X1)
    | ~ 'admin$uindi$uhas$ucitizenship$ufor$ufile'(admin,X0,X1)
    | ~ 'admin$uindi$uhas$ucompartments$ufor$ufile'(admin,X0,X1)
    | ~ 'state$ufile$uis$unot$uworking$upaper'(X1)
    | ~ 'admin$uindi$uhas$ulevel$ufor$ufile'(admin,X0,X1) ),
    inference(clausification,[status(esa)],[ax39]) ).

cnf(c87,plain,
    ~ 'admin$uindi$umay$ufile'(admin,alice,secretfile,read),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    'admin$ucompartment$uhas$usso'(admin,compartmentb,'sso$ucompartmentb'),
    inference(resolution,[status(thm)],[c52,c3]) ).

cnf(d1,plain,
    'admin$ucompartment$uhas$usso'(admin,compartmenta,'sso$ucompartmenta'),
    inference(resolution,[status(thm)],[c52,c6]) ).

cnf(d2,plain,
    ( 'admin$ufile$uhas$ucompartments$uh'(admin,X1,X2,cons(X3,nil))
    | ~ 'admin$ucompartment$uhas$usso'(admin,X3,X0)
    | ~ 'sso$ufile$uhas$ucompartments'(X0,X1,X2) ),
    inference(resolution,[status(thm)],[c56,c55]) ).

cnf(d3,plain,
    ( 'admin$ufile$uhas$ucompartments$uh'(admin,X0,X1,cons(compartmenta,nil))
    | ~ 'sso$ufile$uhas$ucompartments'('sso$ucompartmenta',X0,X1) ),
    inference(resolution,[status(thm)],[d2,d1]) ).

cnf(d4,plain,
    ( 'admin$ufile$uhas$ucompartments$uh'(admin,X0,X1,cons(X3,cons(compartmenta,nil)))
    | ~ 'admin$ucompartment$uhas$usso'(admin,X3,X2)
    | ~ 'sso$ufile$uhas$ucompartments'(X2,X0,X1)
    | ~ 'sso$ufile$uhas$ucompartments'('sso$ucompartmenta',X0,X1) ),
    inference(resolution,[status(thm)],[d3,c56]) ).

cnf(d5,plain,
    ( 'admin$ufile$uhas$ucompartments$uh'(admin,X0,X1,cons(compartmentb,cons(compartmenta,nil)))
    | ~ 'sso$ufile$uhas$ucompartments'('sso$ucompartmenta',X0,X1)
    | ~ 'sso$ufile$uhas$ucompartments'('sso$ucompartmentb',X0,X1) ),
    inference(resolution,[status(thm)],[d4,d0]) ).

cnf(d6,plain,
    ( 'admin$ufile$uhas$ucompartments'(admin,X0,cons(compartmentb,cons(compartmenta,nil)))
    | ~ 'system$ufile$uneeds$ucompartments'(system,X0,cons(compartmentb,cons(compartmenta,nil)))
    | ~ 'sso$ufile$uhas$ucompartments'('sso$ucompartmenta',X0,cons(compartmentb,cons(compartmenta,nil)))
    | ~ 'sso$ufile$uhas$ucompartments'('sso$ucompartmentb',X0,cons(compartmentb,cons(compartmenta,nil))) ),
    inference(resolution,[status(thm)],[d5,c54]) ).

cnf(d7,plain,
    ( 'admin$ufile$uhas$ucompartments'(admin,secretfile,cons(compartmentb,cons(compartmenta,nil)))
    | ~ 'sso$ufile$uhas$ucompartments'('sso$ucompartmentb',secretfile,cons(compartmentb,cons(compartmenta,nil)))
    | ~ 'system$ufile$uneeds$ucompartments'(system,secretfile,cons(compartmentb,cons(compartmenta,nil))) ),
    inference(resolution,[status(thm)],[d6,c12]) ).

cnf(d8,plain,
    ( 'admin$ufile$uhas$ucompartments'(admin,secretfile,cons(compartmentb,cons(compartmenta,nil)))
    | ~ 'sso$ufile$uhas$ucompartments'('sso$ucompartmentb',secretfile,cons(compartmentb,cons(compartmenta,nil))) ),
    inference(resolution,[status(thm)],[c10,d7]) ).

cnf(d9,plain,
    'admin$ufile$uhas$ucompartments'(admin,secretfile,cons(compartmentb,cons(compartmenta,nil))),
    inference(resolution,[status(thm)],[c11,d8]) ).

cnf(d10,plain,
    ( 'admin$uindi$uhas$upolygraph$ufor$ucompartment'(admin,X0,compartmentb)
    | ~ 'admin$uindi$uhas$upolygraph'(admin,X0)
    | ~ 'system$uindi$uis$uoca'(system,oca) ),
    inference(resolution,[status(thm)],[c76,c1]) ).

cnf(d11,plain,
    ( 'admin$uindi$uhas$upolygraph$ufor$ucompartment'(admin,X0,compartmentb)
    | ~ 'admin$uindi$uhas$upolygraph'(admin,X0) ),
    inference(resolution,[status(thm)],[c0,d10]) ).

cnf(d12,plain,
    ( 'admin$uindi$uhas$ucredit$ufor$ucompartment'(admin,X0,compartmentb)
    | ~ 'admin$uindi$uhas$ucredit'(admin,X0)
    | ~ 'system$uindi$uis$uoca'(system,oca) ),
    inference(resolution,[status(thm)],[c78,c1]) ).

cnf(d13,plain,
    ( 'admin$uindi$uhas$ucredit$ufor$ucompartment'(admin,X0,compartmentb)
    | ~ 'admin$uindi$uhas$ucredit'(admin,X0) ),
    inference(resolution,[status(thm)],[c0,d12]) ).

cnf(d14,plain,
    ( 'admin$uindi$uhas$ubackground'(admin,X1,X2)
    | ~ 'background$uadmin$uindi$uhas$ubackground'(X0,X1,X2)
    | ~ 'system$uindi$uis$ubackground$uadmin'(system,X0) ),
    inference(resolution,[status(thm)],[c66,c50]) ).

cnf(d15,plain,
    ( 'admin$uindi$uhas$ubackground'(admin,alice,topsecret)
    | ~ 'system$uindi$uis$ubackground$uadmin'(system,'background$uadmin') ),
    inference(resolution,[status(thm)],[d14,c33]) ).

cnf(d16,plain,
    'admin$uindi$uhas$ubackground'(admin,alice,topsecret),
    inference(resolution,[status(thm)],[c27,d15]) ).

cnf(d17,plain,
    ( 'admin$uindi$uhas$ubackground$ufor$ucompartment'(admin,X0,compartmentb)
    | ~ 'admin$uindi$uhas$ubackground'(admin,X0,topsecret)
    | ~ 'system$uindi$uis$uoca'(system,oca) ),
    inference(resolution,[status(thm)],[c74,c1]) ).

cnf(d18,plain,
    ( 'admin$uindi$uhas$ubackground$ufor$ucompartment'(admin,X0,compartmentb)
    | ~ 'admin$uindi$uhas$ubackground'(admin,X0,topsecret) ),
    inference(resolution,[status(thm)],[c0,d17]) ).

cnf(d19,plain,
    'admin$uindi$uhas$ubackground$ufor$ucompartment'(admin,alice,compartmentb),
    inference(resolution,[status(thm)],[d18,d16]) ).

cnf(d20,plain,
    ( ~ 'admin$uindi$uhas$ucredit$ufor$ucompartment'(admin,alice,compartmentb)
    | ~ 'admin$uindi$uhas$ulevel$ufor$ucompartment'(admin,alice,compartmentb)
    | ~ 'admin$uindi$uhas$upolygraph$ufor$ucompartment'(admin,alice,compartmentb)
    | 'admin$uindi$uhas$ucompartments'(admin,alice,cons(compartmentb,X1))
    | ~ 'admin$uindi$uhas$ucompartments'(admin,alice,X1)
    | ~ 'admin$uindi$uhas$ucitizenship'(admin,alice,usa)
    | ~ 'admin$uindi$uhas$uemployment'(admin,alice)
    | ~ 'admin$ucompartment$uhas$usso'(admin,compartmentb,X0)
    | ~ 'sso$uindi$uhas$ucompartment'(X0,alice,compartmentb)
    | ~ 'system$uindi$uneeds$ucompartment'(system,alice,compartmentb) ),
    inference(resolution,[status(thm)],[d19,c73]) ).

cnf(d21,plain,
    ( ~ 'admin$uindi$uhas$ucredit$ufor$ucompartment'(admin,alice,compartmentb)
    | ~ 'admin$uindi$uhas$ulevel$ufor$ucompartment'(admin,alice,compartmentb)
    | ~ 'admin$uindi$uhas$upolygraph$ufor$ucompartment'(admin,alice,compartmentb)
    | 'admin$uindi$uhas$ucompartments'(admin,alice,cons(compartmentb,X1))
    | ~ 'admin$uindi$uhas$ucompartments'(admin,alice,X1)
    | ~ 'admin$uindi$uhas$ucitizenship'(admin,alice,usa)
    | ~ 'admin$uindi$uhas$uemployment'(admin,alice)
    | ~ 'admin$ucompartment$uhas$usso'(admin,compartmentb,X0)
    | ~ 'sso$uindi$uhas$ucompartment'(X0,alice,compartmentb) ),
    inference(resolution,[status(thm)],[c37,d20]) ).

cnf(d22,plain,
    'admin$uindi$uhas$ucitizenship'(admin,alice,usa),
    inference(resolution,[status(thm)],[c69,c30]) ).

cnf(d23,plain,
    ( ~ 'admin$uindi$uhas$ucredit$ufor$ucompartment'(admin,alice,compartmentb)
    | ~ 'admin$uindi$uhas$ulevel$ufor$ucompartment'(admin,alice,compartmentb)
    | ~ 'admin$uindi$uhas$upolygraph$ufor$ucompartment'(admin,alice,compartmentb)
    | 'admin$uindi$uhas$ucompartments'(admin,alice,cons(compartmentb,X1))
    | ~ 'admin$uindi$uhas$ucompartments'(admin,alice,X1)
    | ~ 'admin$uindi$uhas$uemployment'(admin,alice)
    | ~ 'admin$ucompartment$uhas$usso'(admin,compartmentb,X0)
    | ~ 'sso$uindi$uhas$ucompartment'(X0,alice,compartmentb) ),
    inference(resolution,[status(thm)],[d22,d21]) ).

cnf(d24,plain,
    ( 'admin$uindi$uhas$uemployment'(admin,alice)
    | ~ 'system$uindi$uis$uhr$uadmin'(system,'hr$uadmin') ),
    inference(resolution,[status(thm)],[c67,c34]) ).

cnf(d25,plain,
    'admin$uindi$uhas$uemployment'(admin,alice),
    inference(resolution,[status(thm)],[c28,d24]) ).

cnf(d26,plain,
    ( ~ 'admin$uindi$uhas$ucredit$ufor$ucompartment'(admin,alice,compartmentb)
    | ~ 'admin$uindi$uhas$ulevel$ufor$ucompartment'(admin,alice,compartmentb)
    | ~ 'admin$uindi$uhas$upolygraph$ufor$ucompartment'(admin,alice,compartmentb)
    | 'admin$uindi$uhas$ucompartments'(admin,alice,cons(compartmentb,X1))
    | ~ 'admin$uindi$uhas$ucompartments'(admin,alice,X1)
    | ~ 'admin$ucompartment$uhas$usso'(admin,compartmentb,X0)
    | ~ 'sso$uindi$uhas$ucompartment'(X0,alice,compartmentb) ),
    inference(resolution,[status(thm)],[d25,d23]) ).

cnf(d27,plain,
    ( ~ 'admin$uindi$uhas$ucredit'(admin,alice)
    | ~ 'admin$uindi$uhas$ulevel$ufor$ucompartment'(admin,alice,compartmentb)
    | ~ 'admin$uindi$uhas$upolygraph$ufor$ucompartment'(admin,alice,compartmentb)
    | 'admin$uindi$uhas$ucompartments'(admin,alice,cons(compartmentb,X1))
    | ~ 'admin$uindi$uhas$ucompartments'(admin,alice,X1)
    | ~ 'admin$ucompartment$uhas$usso'(admin,compartmentb,X0)
    | ~ 'sso$uindi$uhas$ucompartment'(X0,alice,compartmentb) ),
    inference(resolution,[status(thm)],[d26,d13]) ).

cnf(d28,plain,
    ( 'admin$uindi$uhas$ucredit'(admin,alice)
    | ~ 'system$uindi$uis$ucredit$uadmin'(system,'credit$uadmin') ),
    inference(resolution,[status(thm)],[c64,c32]) ).

cnf(d29,plain,
    'admin$uindi$uhas$ucredit'(admin,alice),
    inference(resolution,[status(thm)],[c26,d28]) ).

cnf(d30,plain,
    ( ~ 'admin$uindi$uhas$ulevel$ufor$ucompartment'(admin,alice,compartmentb)
    | ~ 'admin$uindi$uhas$upolygraph$ufor$ucompartment'(admin,alice,compartmentb)
    | 'admin$uindi$uhas$ucompartments'(admin,alice,cons(compartmentb,X1))
    | ~ 'admin$uindi$uhas$ucompartments'(admin,alice,X1)
    | ~ 'admin$ucompartment$uhas$usso'(admin,compartmentb,X0)
    | ~ 'sso$uindi$uhas$ucompartment'(X0,alice,compartmentb) ),
    inference(resolution,[status(thm)],[d29,d27]) ).

cnf(d31,plain,
    ( 'admin$uindi$uhas$ulevel$ufor$ucompartment'(admin,X0,compartmentb)
    | ~ 'admin$uindi$uhas$ulevel'(admin,X0,confidential)
    | ~ 'system$uindi$uis$uoca'(system,oca) ),
    inference(resolution,[status(thm)],[c75,c1]) ).

cnf(d32,plain,
    ( 'admin$uindi$uhas$ulevel$ufor$ucompartment'(admin,X0,compartmentb)
    | ~ 'admin$uindi$uhas$ulevel'(admin,X0,confidential) ),
    inference(resolution,[status(thm)],[c0,d31]) ).

cnf(d33,plain,
    ( 'loca$ulevel$ubelow'(X0,X1,X2)
    | ~ 'loca$ulevel$udirect$ubelow'(X0,X1,X2) ),
    inference(resolution,[status(thm)],[c51,c50]) ).

cnf(d34,plain,
    'loca$ulevel$ubelow'(X0,confidential,secret),
    inference(resolution,[status(thm)],[d33,c48]) ).

cnf(d35,plain,
    ( 'loca$ulevel$ubelow'(X0,confidential,X1)
    | ~ 'loca$ulevel$udirect$ubelow'(X0,secret,X1) ),
    inference(resolution,[status(thm)],[d34,c51]) ).

cnf(d36,plain,
    'loca$ulevel$ubelow'(X0,confidential,topsecret),
    inference(resolution,[status(thm)],[d35,c49]) ).

cnf(d37,plain,
    ( 'admin$uindi$uhas$ulevel'(admin,alice,X3)
    | ~ 'admin$uindi$uhas$uemployment'(admin,alice)
    | ~ 'admin$uindi$uhas$ubackground'(admin,alice,X3)
    | ~ 'admin$uindi$uhas$ucredit'(admin,alice)
    | ~ 'admin$uindi$uhas$upolygraph'(admin,alice)
    | ~ 'loca$ulevel$ubelow'(admin,X3,X2)
    | ~ 'loca$ulevel$ubelow'(admin,X3,X1)
    | ~ 'level$uadmin$uindi$uhas$ulevel'(X0,alice,X2)
    | ~ 'system$uindi$uneeds$ulevel'(system,alice,X1)
    | ~ 'system$uindi$uis$ulevel$uadmin'(system,X0) ),
    inference(resolution,[status(thm)],[c71,d22]) ).

cnf(d38,plain,
    ( 'admin$uindi$uhas$upolygraph'(admin,alice)
    | ~ 'system$uindi$uis$upolygraph$uadmin'(system,'polygraph$uadmin') ),
    inference(resolution,[status(thm)],[c63,c31]) ).

cnf(d39,plain,
    'admin$uindi$uhas$upolygraph'(admin,alice),
    inference(resolution,[status(thm)],[c25,d38]) ).

cnf(d40,plain,
    ( 'admin$uindi$uhas$ulevel'(admin,alice,X3)
    | ~ 'admin$uindi$uhas$uemployment'(admin,alice)
    | ~ 'admin$uindi$uhas$ubackground'(admin,alice,X3)
    | ~ 'admin$uindi$uhas$ucredit'(admin,alice)
    | ~ 'loca$ulevel$ubelow'(admin,X3,X1)
    | ~ 'loca$ulevel$ubelow'(admin,X3,X2)
    | ~ 'level$uadmin$uindi$uhas$ulevel'(X0,alice,X2)
    | ~ 'system$uindi$uneeds$ulevel'(system,alice,X1)
    | ~ 'system$uindi$uis$ulevel$uadmin'(system,X0) ),
    inference(resolution,[status(thm)],[d39,d37]) ).

cnf(d41,plain,
    ( 'admin$uindi$uhas$ulevel'(admin,alice,X3)
    | ~ 'admin$uindi$uhas$uemployment'(admin,alice)
    | ~ 'admin$uindi$uhas$ubackground'(admin,alice,X3)
    | ~ 'loca$ulevel$ubelow'(admin,X3,X1)
    | ~ 'loca$ulevel$ubelow'(admin,X3,X2)
    | ~ 'level$uadmin$uindi$uhas$ulevel'(X0,alice,X2)
    | ~ 'system$uindi$uneeds$ulevel'(system,alice,X1)
    | ~ 'system$uindi$uis$ulevel$uadmin'(system,X0) ),
    inference(resolution,[status(thm)],[d29,d40]) ).

cnf(d42,plain,
    ( 'admin$uindi$uhas$ulevel'(admin,alice,X3)
    | ~ 'admin$uindi$uhas$ubackground'(admin,alice,X3)
    | ~ 'loca$ulevel$ubelow'(admin,X3,X1)
    | ~ 'loca$ulevel$ubelow'(admin,X3,X2)
    | ~ 'level$uadmin$uindi$uhas$ulevel'(X0,alice,X2)
    | ~ 'system$uindi$uneeds$ulevel'(system,alice,X1)
    | ~ 'system$uindi$uis$ulevel$uadmin'(system,X0) ),
    inference(resolution,[status(thm)],[d25,d41]) ).

cnf(d43,plain,
    ( 'admin$uindi$uhas$ubackground'(admin,X1,confidential)
    | ~ 'background$uadmin$uindi$uhas$ubackground'(X0,X1,topsecret)
    | ~ 'system$uindi$uis$ubackground$uadmin'(system,X0) ),
    inference(resolution,[status(thm)],[d36,c66]) ).

cnf(d44,plain,
    ( 'admin$uindi$uhas$ubackground'(admin,alice,confidential)
    | ~ 'system$uindi$uis$ubackground$uadmin'(system,'background$uadmin') ),
    inference(resolution,[status(thm)],[d43,c33]) ).

cnf(d45,plain,
    'admin$uindi$uhas$ubackground'(admin,alice,confidential),
    inference(resolution,[status(thm)],[c27,d44]) ).

cnf(d46,plain,
    ( 'admin$uindi$uhas$ulevel'(admin,alice,confidential)
    | ~ 'loca$ulevel$ubelow'(admin,confidential,X1)
    | ~ 'loca$ulevel$ubelow'(admin,confidential,X2)
    | ~ 'level$uadmin$uindi$uhas$ulevel'(X0,alice,X2)
    | ~ 'system$uindi$uneeds$ulevel'(system,alice,X1)
    | ~ 'system$uindi$uis$ulevel$uadmin'(system,X0) ),
    inference(resolution,[status(thm)],[d45,d42]) ).

cnf(d47,plain,
    ( 'admin$uindi$uhas$ulevel'(admin,alice,confidential)
    | ~ 'loca$ulevel$ubelow'(admin,confidential,X1)
    | ~ 'level$uadmin$uindi$uhas$ulevel'(X0,alice,X1)
    | ~ 'system$uindi$uneeds$ulevel'(system,alice,secret)
    | ~ 'system$uindi$uis$ulevel$uadmin'(system,X0) ),
    inference(resolution,[status(thm)],[d46,d34]) ).

cnf(d48,plain,
    ( 'admin$uindi$uhas$ulevel'(admin,alice,confidential)
    | ~ 'loca$ulevel$ubelow'(admin,confidential,X1)
    | ~ 'level$uadmin$uindi$uhas$ulevel'(X0,alice,X1)
    | ~ 'system$uindi$uis$ulevel$uadmin'(system,X0) ),
    inference(resolution,[status(thm)],[c35,d47]) ).

cnf(d49,plain,
    ( 'admin$uindi$uhas$ulevel'(admin,alice,confidential)
    | ~ 'level$uadmin$uindi$uhas$ulevel'(X0,alice,topsecret)
    | ~ 'system$uindi$uis$ulevel$uadmin'(system,X0) ),
    inference(resolution,[status(thm)],[d48,d36]) ).

cnf(d50,plain,
    ( 'admin$uindi$uhas$ulevel'(admin,alice,confidential)
    | ~ 'system$uindi$uis$ulevel$uadmin'(system,'level$uadmin') ),
    inference(resolution,[status(thm)],[d49,c36]) ).

cnf(d51,plain,
    'admin$uindi$uhas$ulevel'(admin,alice,confidential),
    inference(resolution,[status(thm)],[c29,d50]) ).

cnf(d52,plain,
    'admin$uindi$uhas$ulevel$ufor$ucompartment'(admin,alice,compartmentb),
    inference(resolution,[status(thm)],[d51,d32]) ).

cnf(d53,plain,
    ( ~ 'admin$uindi$uhas$upolygraph$ufor$ucompartment'(admin,alice,compartmentb)
    | 'admin$uindi$uhas$ucompartments'(admin,alice,cons(compartmentb,X1))
    | ~ 'admin$uindi$uhas$ucompartments'(admin,alice,X1)
    | ~ 'admin$ucompartment$uhas$usso'(admin,compartmentb,X0)
    | ~ 'sso$uindi$uhas$ucompartment'(X0,alice,compartmentb) ),
    inference(resolution,[status(thm)],[d52,d30]) ).

cnf(d54,plain,
    ( ~ 'admin$uindi$uhas$upolygraph'(admin,alice)
    | 'admin$uindi$uhas$ucompartments'(admin,alice,cons(compartmentb,X1))
    | ~ 'admin$uindi$uhas$ucompartments'(admin,alice,X1)
    | ~ 'admin$ucompartment$uhas$usso'(admin,compartmentb,X0)
    | ~ 'sso$uindi$uhas$ucompartment'(X0,alice,compartmentb) ),
    inference(resolution,[status(thm)],[d53,d11]) ).

cnf(d55,plain,
    ( 'admin$uindi$uhas$ucompartments'(admin,alice,cons(compartmentb,X1))
    | ~ 'admin$uindi$uhas$ucompartments'(admin,alice,X1)
    | ~ 'admin$ucompartment$uhas$usso'(admin,compartmentb,X0)
    | ~ 'sso$uindi$uhas$ucompartment'(X0,alice,compartmentb) ),
    inference(resolution,[status(thm)],[d39,d54]) ).

cnf(d56,plain,
    ( 'admin$uindi$uhas$ubackground$ufor$ucompartment'(admin,X0,compartmenta)
    | ~ 'admin$uindi$uhas$ubackground'(admin,X0,unclassified)
    | ~ 'system$uindi$uis$uoca'(system,oca) ),
    inference(resolution,[status(thm)],[c74,c2]) ).

cnf(d57,plain,
    ( 'admin$uindi$uhas$ubackground$ufor$ucompartment'(admin,X0,compartmenta)
    | ~ 'admin$uindi$uhas$ubackground'(admin,X0,unclassified) ),
    inference(resolution,[status(thm)],[c0,d56]) ).

cnf(d58,plain,
    'admin$uindi$uhas$ubackground$ufor$ucompartment'(admin,X0,compartmenta),
    inference(resolution,[status(thm)],[c65,d57]) ).

cnf(d59,plain,
    ( ~ 'admin$uindi$uhas$ucredit$ufor$ucompartment'(admin,X0,compartmenta)
    | ~ 'admin$uindi$uhas$ulevel$ufor$ucompartment'(admin,X0,compartmenta)
    | ~ 'admin$uindi$uhas$upolygraph$ufor$ucompartment'(admin,X0,compartmenta)
    | 'admin$uindi$uhas$ucompartments'(admin,X0,cons(compartmenta,X2))
    | ~ 'admin$uindi$uhas$ucompartments'(admin,X0,X2)
    | ~ 'admin$uindi$uhas$ucitizenship'(admin,X0,usa)
    | ~ 'admin$uindi$uhas$uemployment'(admin,X0)
    | ~ 'admin$ucompartment$uhas$usso'(admin,compartmenta,X1)
    | ~ 'sso$uindi$uhas$ucompartment'(X1,X0,compartmenta)
    | ~ 'system$uindi$uneeds$ucompartment'(system,X0,compartmenta) ),
    inference(resolution,[status(thm)],[d58,c73]) ).

cnf(d60,plain,
    ( 'admin$uindi$uhas$upolygraph$ufor$ucompartment'(admin,X0,compartmenta)
    | ~ 'system$uindi$uis$uoca'(system,oca) ),
    inference(resolution,[status(thm)],[c77,c2]) ).

cnf(d61,plain,
    'admin$uindi$uhas$upolygraph$ufor$ucompartment'(admin,X0,compartmenta),
    inference(resolution,[status(thm)],[c0,d60]) ).

cnf(d62,plain,
    ( ~ 'admin$uindi$uhas$ucredit$ufor$ucompartment'(admin,X0,compartmenta)
    | ~ 'admin$uindi$uhas$ulevel$ufor$ucompartment'(admin,X0,compartmenta)
    | 'admin$uindi$uhas$ucompartments'(admin,X0,cons(compartmenta,X2))
    | ~ 'admin$uindi$uhas$ucompartments'(admin,X0,X2)
    | ~ 'admin$uindi$uhas$ucitizenship'(admin,X0,usa)
    | ~ 'admin$uindi$uhas$uemployment'(admin,X0)
    | ~ 'admin$ucompartment$uhas$usso'(admin,compartmenta,X1)
    | ~ 'sso$uindi$uhas$ucompartment'(X1,X0,compartmenta)
    | ~ 'system$uindi$uneeds$ucompartment'(system,X0,compartmenta) ),
    inference(resolution,[status(thm)],[d61,d59]) ).

cnf(d63,plain,
    ( 'admin$uindi$uhas$ucredit$ufor$ucompartment'(admin,X0,compartmenta)
    | ~ 'system$uindi$uis$uoca'(system,oca) ),
    inference(resolution,[status(thm)],[c79,c2]) ).

cnf(d64,plain,
    'admin$uindi$uhas$ucredit$ufor$ucompartment'(admin,X0,compartmenta),
    inference(resolution,[status(thm)],[c0,d63]) ).

cnf(d65,plain,
    ( ~ 'admin$uindi$uhas$ulevel$ufor$ucompartment'(admin,X0,compartmenta)
    | 'admin$uindi$uhas$ucompartments'(admin,X0,cons(compartmenta,X2))
    | ~ 'admin$uindi$uhas$ucompartments'(admin,X0,X2)
    | ~ 'admin$uindi$uhas$ucitizenship'(admin,X0,usa)
    | ~ 'admin$uindi$uhas$uemployment'(admin,X0)
    | ~ 'admin$ucompartment$uhas$usso'(admin,compartmenta,X1)
    | ~ 'sso$uindi$uhas$ucompartment'(X1,X0,compartmenta)
    | ~ 'system$uindi$uneeds$ucompartment'(system,X0,compartmenta) ),
    inference(resolution,[status(thm)],[d64,d62]) ).

cnf(d66,plain,
    ( 'admin$uindi$uhas$ulevel$ufor$ucompartment'(admin,X0,compartmenta)
    | ~ 'admin$uindi$uhas$ulevel'(admin,X0,sbu)
    | ~ 'system$uindi$uis$uoca'(system,oca) ),
    inference(resolution,[status(thm)],[c75,c2]) ).

cnf(d67,plain,
    ( 'admin$uindi$uhas$ulevel$ufor$ucompartment'(admin,X0,compartmenta)
    | ~ 'admin$uindi$uhas$ulevel'(admin,X0,sbu) ),
    inference(resolution,[status(thm)],[c0,d66]) ).

cnf(d68,plain,
    'loca$ulevel$ubelow'(X0,sbu,confidential),
    inference(resolution,[status(thm)],[d33,c47]) ).

cnf(d69,plain,
    ( 'loca$ulevel$ubelow'(X0,sbu,X1)
    | ~ 'loca$ulevel$udirect$ubelow'(X0,confidential,X1) ),
    inference(resolution,[status(thm)],[d68,c51]) ).

cnf(d70,plain,
    'loca$ulevel$ubelow'(X0,sbu,secret),
    inference(resolution,[status(thm)],[d69,c48]) ).

cnf(d71,plain,
    ( 'loca$ulevel$ubelow'(X0,sbu,X1)
    | ~ 'loca$ulevel$udirect$ubelow'(X0,secret,X1) ),
    inference(resolution,[status(thm)],[d70,c51]) ).

cnf(d72,plain,
    'loca$ulevel$ubelow'(X0,sbu,topsecret),
    inference(resolution,[status(thm)],[d71,c49]) ).

cnf(d73,plain,
    ( 'admin$uindi$uhas$ubackground'(admin,X1,sbu)
    | ~ 'background$uadmin$uindi$uhas$ubackground'(X0,X1,topsecret)
    | ~ 'system$uindi$uis$ubackground$uadmin'(system,X0) ),
    inference(resolution,[status(thm)],[d72,c66]) ).

cnf(d74,plain,
    ( 'admin$uindi$uhas$ubackground'(admin,alice,sbu)
    | ~ 'system$uindi$uis$ubackground$uadmin'(system,'background$uadmin') ),
    inference(resolution,[status(thm)],[d73,c33]) ).

cnf(d75,plain,
    'admin$uindi$uhas$ubackground'(admin,alice,sbu),
    inference(resolution,[status(thm)],[c27,d74]) ).

cnf(d76,plain,
    ( 'admin$uindi$uhas$ulevel'(admin,alice,sbu)
    | ~ 'loca$ulevel$ubelow'(admin,sbu,X1)
    | ~ 'loca$ulevel$ubelow'(admin,sbu,X2)
    | ~ 'level$uadmin$uindi$uhas$ulevel'(X0,alice,X2)
    | ~ 'system$uindi$uneeds$ulevel'(system,alice,X1)
    | ~ 'system$uindi$uis$ulevel$uadmin'(system,X0) ),
    inference(resolution,[status(thm)],[d75,d42]) ).

cnf(d77,plain,
    ( 'admin$uindi$uhas$ulevel'(admin,alice,sbu)
    | ~ 'loca$ulevel$ubelow'(admin,sbu,X1)
    | ~ 'level$uadmin$uindi$uhas$ulevel'(X0,alice,X1)
    | ~ 'system$uindi$uneeds$ulevel'(system,alice,secret)
    | ~ 'system$uindi$uis$ulevel$uadmin'(system,X0) ),
    inference(resolution,[status(thm)],[d76,d70]) ).

cnf(d78,plain,
    ( 'admin$uindi$uhas$ulevel'(admin,alice,sbu)
    | ~ 'loca$ulevel$ubelow'(admin,sbu,X1)
    | ~ 'level$uadmin$uindi$uhas$ulevel'(X0,alice,X1)
    | ~ 'system$uindi$uis$ulevel$uadmin'(system,X0) ),
    inference(resolution,[status(thm)],[c35,d77]) ).

cnf(d79,plain,
    ( 'admin$uindi$uhas$ulevel'(admin,alice,sbu)
    | ~ 'level$uadmin$uindi$uhas$ulevel'(X0,alice,topsecret)
    | ~ 'system$uindi$uis$ulevel$uadmin'(system,X0) ),
    inference(resolution,[status(thm)],[d78,d72]) ).

cnf(d80,plain,
    ( 'admin$uindi$uhas$ulevel'(admin,alice,sbu)
    | ~ 'system$uindi$uis$ulevel$uadmin'(system,'level$uadmin') ),
    inference(resolution,[status(thm)],[d79,c36]) ).

cnf(d81,plain,
    'admin$uindi$uhas$ulevel'(admin,alice,sbu),
    inference(resolution,[status(thm)],[c29,d80]) ).

cnf(d82,plain,
    'admin$uindi$uhas$ulevel$ufor$ucompartment'(admin,alice,compartmenta),
    inference(resolution,[status(thm)],[d81,d67]) ).

cnf(d83,plain,
    ( 'admin$uindi$uhas$ucompartments'(admin,alice,cons(compartmenta,X1))
    | ~ 'admin$uindi$uhas$ucompartments'(admin,alice,X1)
    | ~ 'admin$uindi$uhas$ucitizenship'(admin,alice,usa)
    | ~ 'admin$uindi$uhas$uemployment'(admin,alice)
    | ~ 'admin$ucompartment$uhas$usso'(admin,compartmenta,X0)
    | ~ 'sso$uindi$uhas$ucompartment'(X0,alice,compartmenta)
    | ~ 'system$uindi$uneeds$ucompartment'(system,alice,compartmenta) ),
    inference(resolution,[status(thm)],[d82,d65]) ).

cnf(d84,plain,
    ( 'admin$uindi$uhas$ucompartments'(admin,alice,cons(compartmenta,X1))
    | ~ 'admin$uindi$uhas$ucompartments'(admin,alice,X1)
    | ~ 'admin$uindi$uhas$ucitizenship'(admin,alice,usa)
    | ~ 'admin$uindi$uhas$uemployment'(admin,alice)
    | ~ 'admin$ucompartment$uhas$usso'(admin,compartmenta,X0)
    | ~ 'sso$uindi$uhas$ucompartment'(X0,alice,compartmenta) ),
    inference(resolution,[status(thm)],[c38,d83]) ).

cnf(d85,plain,
    ( 'admin$uindi$uhas$ucompartments'(admin,alice,cons(compartmenta,X1))
    | ~ 'admin$uindi$uhas$ucompartments'(admin,alice,X1)
    | ~ 'admin$uindi$uhas$uemployment'(admin,alice)
    | ~ 'admin$ucompartment$uhas$usso'(admin,compartmenta,X0)
    | ~ 'sso$uindi$uhas$ucompartment'(X0,alice,compartmenta) ),
    inference(resolution,[status(thm)],[d22,d84]) ).

cnf(d86,plain,
    ( 'admin$uindi$uhas$ucompartments'(admin,alice,cons(compartmenta,X1))
    | ~ 'admin$uindi$uhas$ucompartments'(admin,alice,X1)
    | ~ 'admin$ucompartment$uhas$usso'(admin,compartmenta,X0)
    | ~ 'sso$uindi$uhas$ucompartment'(X0,alice,compartmenta) ),
    inference(resolution,[status(thm)],[d25,d85]) ).

cnf(d87,plain,
    ( 'admin$uindi$uhas$ucompartments'(admin,alice,cons(compartmenta,nil))
    | ~ 'admin$ucompartment$uhas$usso'(admin,compartmenta,X0)
    | ~ 'sso$uindi$uhas$ucompartment'(X0,alice,compartmenta) ),
    inference(resolution,[status(thm)],[d86,c72]) ).

cnf(d88,plain,
    ( 'admin$uindi$uhas$ucompartments'(admin,alice,cons(compartmenta,nil))
    | ~ 'sso$uindi$uhas$ucompartment'('sso$ucompartmenta',alice,compartmenta) ),
    inference(resolution,[status(thm)],[d87,d1]) ).

cnf(d89,plain,
    'admin$uindi$uhas$ucompartments'(admin,alice,cons(compartmenta,nil)),
    inference(resolution,[status(thm)],[c40,d88]) ).

cnf(d90,plain,
    ( 'admin$uindi$uhas$ucompartments'(admin,alice,cons(compartmentb,cons(compartmenta,nil)))
    | ~ 'admin$ucompartment$uhas$usso'(admin,compartmentb,X0)
    | ~ 'sso$uindi$uhas$ucompartment'(X0,alice,compartmentb) ),
    inference(resolution,[status(thm)],[d89,d55]) ).

cnf(d91,plain,
    ( 'admin$uindi$uhas$ucompartments'(admin,alice,cons(compartmentb,cons(compartmenta,nil)))
    | ~ 'sso$uindi$uhas$ucompartment'('sso$ucompartmentb',alice,compartmentb) ),
    inference(resolution,[status(thm)],[d90,d0]) ).

cnf(d92,plain,
    'admin$uindi$uhas$ucompartments'(admin,alice,cons(compartmentb,cons(compartmenta,nil))),
    inference(resolution,[status(thm)],[c39,d91]) ).

cnf(d93,plain,
    ( 'admin$uindi$uhas$ucompartments$ufor$ufile'(admin,alice,X0)
    | ~ 'admin$ufile$uhas$ucompartments'(admin,X0,cons(compartmentb,cons(compartmenta,nil))) ),
    inference(resolution,[status(thm)],[d92,c80]) ).

cnf(d94,plain,
    'admin$uindi$uhas$ucompartments$ufor$ufile'(admin,alice,secretfile),
    inference(resolution,[status(thm)],[d93,d9]) ).

cnf(d95,plain,
    ( ~ 'admin$uindi$uhas$ucitizenship$ufor$ufile'(admin,alice,secretfile)
    | ~ 'admin$uindi$uhas$uneed$uto$uknow$ufor$ufile'(admin,alice,secretfile)
    | ~ 'admin$uindi$uhas$ulevel$ufor$ufile'(admin,alice,secretfile)
    | ~ 'admin$uindi$uhas$ucompartments$ufor$ufile'(admin,alice,secretfile)
    | ~ 'state$ufile$uis$unot$uworking$upaper'(secretfile) ),
    inference(resolution,[status(thm)],[c85,c87]) ).

cnf(d96,plain,
    ( ~ 'admin$uindi$uhas$ucitizenship$ufor$ufile'(admin,alice,secretfile)
    | ~ 'admin$uindi$uhas$uneed$uto$uknow$ufor$ufile'(admin,alice,secretfile)
    | ~ 'admin$uindi$uhas$ulevel$ufor$ufile'(admin,alice,secretfile)
    | ~ 'admin$uindi$uhas$ucompartments$ufor$ufile'(admin,alice,secretfile) ),
    inference(resolution,[status(thm)],[c9,d95]) ).

cnf(d97,plain,
    'admin$uindi$uhas$ucitizenship$ufor$ufile'(admin,alice,X0),
    inference(resolution,[status(thm)],[c84,d22]) ).

cnf(d98,plain,
    ( ~ 'admin$uindi$uhas$uneed$uto$uknow$ufor$ufile'(admin,alice,secretfile)
    | ~ 'admin$uindi$uhas$ulevel$ufor$ufile'(admin,alice,secretfile)
    | ~ 'admin$uindi$uhas$ucompartments$ufor$ufile'(admin,alice,secretfile) ),
    inference(resolution,[status(thm)],[d97,d96]) ).

cnf(d99,plain,
    ( 'admin$uindi$uhas$uneed$uto$uknow$ufor$ufile'(admin,alice,secretfile)
    | ~ 'state$ufile$uhas$uowner'(secretfile,'owner$usecretfile') ),
    inference(resolution,[status(thm)],[c82,c41]) ).

cnf(d100,plain,
    'admin$uindi$uhas$uneed$uto$uknow$ufor$ufile'(admin,alice,secretfile),
    inference(resolution,[status(thm)],[c19,d99]) ).

cnf(d101,plain,
    ( ~ 'admin$uindi$uhas$ulevel$ufor$ufile'(admin,alice,secretfile)
    | ~ 'admin$uindi$uhas$ucompartments$ufor$ufile'(admin,alice,secretfile) ),
    inference(resolution,[status(thm)],[d100,d98]) ).

cnf(d102,plain,
    'loca$ulevel$ubelow'(X0,secret,topsecret),
    inference(resolution,[status(thm)],[d33,c49]) ).

cnf(d103,plain,
    ( 'admin$uindi$uhas$ubackground'(admin,X1,secret)
    | ~ 'background$uadmin$uindi$uhas$ubackground'(X0,X1,topsecret)
    | ~ 'system$uindi$uis$ubackground$uadmin'(system,X0) ),
    inference(resolution,[status(thm)],[d102,c66]) ).

cnf(d104,plain,
    ( 'admin$uindi$uhas$ubackground'(admin,alice,secret)
    | ~ 'system$uindi$uis$ubackground$uadmin'(system,'background$uadmin') ),
    inference(resolution,[status(thm)],[d103,c33]) ).

cnf(d105,plain,
    'admin$uindi$uhas$ubackground'(admin,alice,secret),
    inference(resolution,[status(thm)],[c27,d104]) ).

cnf(d106,plain,
    ( 'admin$uindi$uhas$ulevel'(admin,alice,secret)
    | ~ 'loca$ulevel$ubelow'(admin,secret,X1)
    | ~ 'loca$ulevel$ubelow'(admin,secret,X2)
    | ~ 'level$uadmin$uindi$uhas$ulevel'(X0,alice,X2)
    | ~ 'system$uindi$uneeds$ulevel'(system,alice,X1)
    | ~ 'system$uindi$uis$ulevel$uadmin'(system,X0) ),
    inference(resolution,[status(thm)],[d105,d42]) ).

cnf(d107,plain,
    ( 'admin$uindi$uhas$ulevel'(admin,alice,secret)
    | ~ 'loca$ulevel$ubelow'(admin,secret,X1)
    | ~ 'level$uadmin$uindi$uhas$ulevel'(X0,alice,X1)
    | ~ 'system$uindi$uneeds$ulevel'(system,alice,secret)
    | ~ 'system$uindi$uis$ulevel$uadmin'(system,X0) ),
    inference(resolution,[status(thm)],[d106,c50]) ).

cnf(d108,plain,
    ( 'admin$uindi$uhas$ulevel'(admin,alice,secret)
    | ~ 'loca$ulevel$ubelow'(admin,secret,X1)
    | ~ 'level$uadmin$uindi$uhas$ulevel'(X0,alice,X1)
    | ~ 'system$uindi$uis$ulevel$uadmin'(system,X0) ),
    inference(resolution,[status(thm)],[c35,d107]) ).

cnf(d109,plain,
    ( 'admin$uindi$uhas$ulevel'(admin,alice,secret)
    | ~ 'level$uadmin$uindi$uhas$ulevel'(X0,alice,topsecret)
    | ~ 'system$uindi$uis$ulevel$uadmin'(system,X0) ),
    inference(resolution,[status(thm)],[d108,d102]) ).

cnf(d110,plain,
    ( 'admin$uindi$uhas$ulevel'(admin,alice,secret)
    | ~ 'system$uindi$uis$ulevel$uadmin'(system,'level$uadmin') ),
    inference(resolution,[status(thm)],[d109,c36]) ).

cnf(d111,plain,
    'admin$uindi$uhas$ulevel'(admin,alice,secret),
    inference(resolution,[status(thm)],[c29,d110]) ).

cnf(d112,plain,
    ( 'admin$uindi$uhas$ulevel$ufor$ufile'(admin,alice,X0)
    | ~ 'admin$ufile$uhas$ulevel'(admin,X0,secret) ),
    inference(resolution,[status(thm)],[d111,c81]) ).

cnf(d113,plain,
    ( 'admin$ufile$uhas$ulevel$uh'(admin,X1,X2,cons(X4,nil))
    | ~ 'admin$ucompartment$uhas$uscg'(admin,X4,X3)
    | ~ 'admin$ucompartment$uhas$usso'(admin,X4,X0)
    | ~ 'sso$ufile$uhas$ulevel'(X0,X1,X2,X3) ),
    inference(resolution,[status(thm)],[c59,c58]) ).

cnf(d114,plain,
    ( 'admin$ufile$uhas$ulevel$uh'(admin,secretfile,secret,cons(X0,nil))
    | ~ 'admin$ucompartment$uhas$uscg'(admin,X0,'scg$ucompartmenta')
    | ~ 'admin$ucompartment$uhas$usso'(admin,X0,'sso$ucompartmenta') ),
    inference(resolution,[status(thm)],[d113,c15]) ).

cnf(d115,plain,
    ( 'admin$ufile$uhas$ulevel$uh'(admin,secretfile,secret,cons(X3,cons(X0,nil)))
    | ~ 'admin$ucompartment$uhas$uscg'(admin,X3,X2)
    | ~ 'admin$ucompartment$uhas$usso'(admin,X3,X1)
    | ~ 'sso$ufile$uhas$ulevel'(X1,secretfile,secret,X2)
    | ~ 'admin$ucompartment$uhas$uscg'(admin,X0,'scg$ucompartmenta')
    | ~ 'admin$ucompartment$uhas$usso'(admin,X0,'sso$ucompartmenta') ),
    inference(resolution,[status(thm)],[d114,c59]) ).

cnf(d116,plain,
    ( 'admin$ufile$uhas$ulevel$uh'(admin,secretfile,secret,cons(X0,cons(X1,nil)))
    | ~ 'admin$ucompartment$uhas$uscg'(admin,X1,'scg$ucompartmenta')
    | ~ 'admin$ucompartment$uhas$uscg'(admin,X0,'scg$ucompartmentb')
    | ~ 'admin$ucompartment$uhas$usso'(admin,X1,'sso$ucompartmenta')
    | ~ 'admin$ucompartment$uhas$usso'(admin,X0,'sso$ucompartmentb') ),
    inference(resolution,[status(thm)],[d115,c14]) ).

cnf(d117,plain,
    ( 'admin$ufile$uhas$ulevel'(admin,secretfile,secret)
    | ~ 'admin$ufile$uhas$ucompartments'(admin,secretfile,cons(X1,cons(X0,nil)))
    | ~ 'system$ufile$uneeds$ulevel'(system,secretfile,secret)
    | ~ 'admin$ucompartment$uhas$uscg'(admin,X1,'scg$ucompartmentb')
    | ~ 'admin$ucompartment$uhas$uscg'(admin,X0,'scg$ucompartmenta')
    | ~ 'admin$ucompartment$uhas$usso'(admin,X1,'sso$ucompartmentb')
    | ~ 'admin$ucompartment$uhas$usso'(admin,X0,'sso$ucompartmenta') ),
    inference(resolution,[status(thm)],[d116,c57]) ).

cnf(d118,plain,
    ( 'admin$ufile$uhas$ulevel'(admin,secretfile,secret)
    | ~ 'admin$ufile$uhas$ucompartments'(admin,secretfile,cons(X0,cons(X1,nil)))
    | ~ 'admin$ucompartment$uhas$uscg'(admin,X1,'scg$ucompartmenta')
    | ~ 'admin$ucompartment$uhas$uscg'(admin,X0,'scg$ucompartmentb')
    | ~ 'admin$ucompartment$uhas$usso'(admin,X1,'sso$ucompartmenta')
    | ~ 'admin$ucompartment$uhas$usso'(admin,X0,'sso$ucompartmentb') ),
    inference(resolution,[status(thm)],[c13,d117]) ).

cnf(d119,plain,
    ( 'admin$ufile$uhas$ulevel'(admin,secretfile,secret)
    | ~ 'admin$ucompartment$uhas$uscg'(admin,compartmentb,'scg$ucompartmentb')
    | ~ 'admin$ucompartment$uhas$uscg'(admin,compartmenta,'scg$ucompartmenta')
    | ~ 'admin$ucompartment$uhas$usso'(admin,compartmentb,'sso$ucompartmentb')
    | ~ 'admin$ucompartment$uhas$usso'(admin,compartmenta,'sso$ucompartmenta') ),
    inference(resolution,[status(thm)],[d118,d9]) ).

cnf(d120,plain,
    ( 'admin$ufile$uhas$ulevel'(admin,secretfile,secret)
    | ~ 'admin$ucompartment$uhas$uscg'(admin,compartmenta,'scg$ucompartmenta')
    | ~ 'admin$ucompartment$uhas$uscg'(admin,compartmentb,'scg$ucompartmentb')
    | ~ 'admin$ucompartment$uhas$usso'(admin,compartmentb,'sso$ucompartmentb') ),
    inference(resolution,[status(thm)],[d1,d119]) ).

cnf(d121,plain,
    ( 'admin$ufile$uhas$ulevel'(admin,secretfile,secret)
    | ~ 'admin$ucompartment$uhas$uscg'(admin,compartmenta,'scg$ucompartmenta')
    | ~ 'admin$ucompartment$uhas$uscg'(admin,compartmentb,'scg$ucompartmentb') ),
    inference(resolution,[status(thm)],[d0,d120]) ).

cnf(d122,plain,
    ( 'admin$ucompartment$uhas$uscg'(admin,compartmenta,X1)
    | ~ 'sso$ucompartment$uhas$uscg'('sso$ucompartmenta',compartmenta,X1)
    | ~ 'oca$ucompartment$uhas$uscg'(X0,compartmenta,X1)
    | ~ 'system$uindi$uis$uoca'(system,X0) ),
    inference(resolution,[status(thm)],[d1,c53]) ).

cnf(d123,plain,
    ( 'admin$ucompartment$uhas$uscg'(admin,compartmenta,'scg$ucompartmenta')
    | ~ 'oca$ucompartment$uhas$uscg'(X0,compartmenta,'scg$ucompartmenta')
    | ~ 'system$uindi$uis$uoca'(system,X0) ),
    inference(resolution,[status(thm)],[d122,c8]) ).

cnf(d124,plain,
    ( 'admin$ucompartment$uhas$uscg'(admin,compartmenta,'scg$ucompartmenta')
    | ~ 'system$uindi$uis$uoca'(system,oca) ),
    inference(resolution,[status(thm)],[d123,c7]) ).

cnf(d125,plain,
    'admin$ucompartment$uhas$uscg'(admin,compartmenta,'scg$ucompartmenta'),
    inference(resolution,[status(thm)],[c0,d124]) ).

cnf(d126,plain,
    ( 'admin$ufile$uhas$ulevel'(admin,secretfile,secret)
    | ~ 'admin$ucompartment$uhas$uscg'(admin,compartmentb,'scg$ucompartmentb') ),
    inference(resolution,[status(thm)],[d125,d121]) ).

cnf(d127,plain,
    ( 'admin$ucompartment$uhas$uscg'(admin,compartmentb,X1)
    | ~ 'sso$ucompartment$uhas$uscg'('sso$ucompartmentb',compartmentb,X1)
    | ~ 'oca$ucompartment$uhas$uscg'(X0,compartmentb,X1)
    | ~ 'system$uindi$uis$uoca'(system,X0) ),
    inference(resolution,[status(thm)],[d0,c53]) ).

cnf(d128,plain,
    ( 'admin$ucompartment$uhas$uscg'(admin,compartmentb,'scg$ucompartmentb')
    | ~ 'oca$ucompartment$uhas$uscg'(X0,compartmentb,'scg$ucompartmentb')
    | ~ 'system$uindi$uis$uoca'(system,X0) ),
    inference(resolution,[status(thm)],[d127,c5]) ).

cnf(d129,plain,
    ( 'admin$ucompartment$uhas$uscg'(admin,compartmentb,'scg$ucompartmentb')
    | ~ 'system$uindi$uis$uoca'(system,oca) ),
    inference(resolution,[status(thm)],[d128,c4]) ).

cnf(d130,plain,
    'admin$ucompartment$uhas$uscg'(admin,compartmentb,'scg$ucompartmentb'),
    inference(resolution,[status(thm)],[c0,d129]) ).

cnf(d131,plain,
    'admin$ufile$uhas$ulevel'(admin,secretfile,secret),
    inference(resolution,[status(thm)],[d130,d126]) ).

cnf(d132,plain,
    'admin$uindi$uhas$ulevel$ufor$ufile'(admin,alice,secretfile),
    inference(resolution,[status(thm)],[d131,d112]) ).

cnf(d133,plain,
    ~ 'admin$uindi$uhas$ucompartments$ufor$ufile'(admin,alice,secretfile),
    inference(resolution,[status(thm)],[d132,d101]) ).

cnf(d134,plain,
    $false,
    inference(resolution,[status(thm)],[d133,d94]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV437+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n019.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Sat Sep 26 13:53:19 UTC 2026
% 0.03/0.36  % CPUTime  : 
% 0.03/0.36  Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.50/2.86  % SZS status Theorem for theBenchmark.p
% 13.50/2.86  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------