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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV438+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 : Tue Sep 29 01:15:48 PM UTC 2026

% Result   : Theorem 4.77s 1.48s
% Output   : Refutation 5.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  137 (  46 unt;  11 def)
%            Number of atoms       :  353 (   0 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  420 ( 204   ~; 184   |;   0   &)
%                                         (  11 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   32 (  31 usr;  12 prp; 0-4 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :  148 (   0 sgn 148   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    ! [X0,X1] :
      ( system_file_needs_compartments(system,X0,X1)
     => ( admin_file_has_compartments_h(admin,X0,X1,X1)
       => admin_file_has_compartments(admin,X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).

fof(f10,axiom,
    ! [X0,X1] : admin_file_has_compartments_h(admin,X0,X1,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).

fof(f12,axiom,
    ! [X0,X1,X2] :
      ( system_file_needs_level(system,X0,X1)
     => ( admin_file_has_compartments(admin,X0,X2)
       => ( admin_file_has_level_h(admin,X0,X1,X2)
         => admin_file_has_level(admin,X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

fof(f13,axiom,
    ! [X0,X1] : admin_file_has_level_h(admin,X0,X1,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

fof(f15,axiom,
    ! [X0,X1,X2] :
      ( system_file_needs_citizenship(system,X0,X1)
     => ( admin_file_has_compartments(admin,X0,X2)
       => ( admin_file_has_citizenship_h(admin,X0,X1,X2)
         => admin_file_has_citizenship(admin,X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).

fof(f16,axiom,
    ! [X0,X1] : admin_file_has_citizenship_h(admin,X0,X1,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f23,axiom,
    ! [X0] : admin_indi_has_citizenship(admin,X0,anycountry),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).

fof(f25,axiom,
    ! [X0] : admin_indi_has_level(admin,X0,unclassified),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).

fof(f27,axiom,
    ! [X0] : admin_indi_has_compartments(admin,X0,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

fof(f35,axiom,
    ! [X0,X1,X2] :
      ( admin_file_has_compartments(admin,X1,X2)
     => ( admin_indi_has_compartments(admin,X0,X2)
       => admin_indi_has_compartments_for_file(admin,X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).

fof(f36,axiom,
    ! [X0,X1,X2] :
      ( admin_file_has_level(admin,X1,X2)
     => ( admin_indi_has_level(admin,X0,X2)
       => admin_indi_has_level_for_file(admin,X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).

fof(f37,axiom,
    ! [X0,X1,X2] :
      ( state_file_has_owner(X1,X2)
     => ( owner_indi_has_need_to_know(X2,X0,X1)
       => admin_indi_has_need_to_know_for_file(admin,X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).

fof(f38,axiom,
    ! [X0,X1,X2] :
      ( admin_file_has_citizenship(admin,X1,X2)
     => ( admin_indi_has_citizenship(admin,X0,X2)
       => admin_indi_has_citizenship_for_file(admin,X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).

fof(f40,axiom,
    ! [X0,X1] :
      ( state_file_is_not_working_paper(X1)
     => ( admin_indi_has_citizenship_for_file(admin,X0,X1)
       => ( admin_indi_has_need_to_know_for_file(admin,X0,X1)
         => ( admin_indi_has_level_for_file(admin,X0,X1)
           => ( admin_indi_has_compartments_for_file(admin,X0,X1)
             => admin_indi_may_file(admin,X0,X1,read) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).

fof(f62,axiom,
    state_file_is_not_working_paper(not_secretfile),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).

fof(f63,axiom,
    system_file_needs_compartments(system,not_secretfile,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).

fof(f64,axiom,
    system_file_needs_level(system,not_secretfile,unclassified),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).

fof(f65,axiom,
    system_file_needs_citizenship(system,not_secretfile,anycountry),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).

fof(f66,axiom,
    state_file_has_owner(not_secretfile,owner_not_secretfile),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).

fof(f86,axiom,
    owner_indi_has_need_to_know(owner_not_secretfile,babu,not_secretfile),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).

fof(f88,conjecture,
    admin_indi_may_file(admin,babu,not_secretfile,read),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',babureadnotsecret) ).

fof(f89,negated_conjecture,
    ~ admin_indi_may_file(admin,babu,not_secretfile,read),
    inference(negated_conjecture,[status(cth)],[f88]) ).

fof(f90,plain,
    ~ admin_indi_may_file(admin,babu,not_secretfile,read),
    inference(flattening,[],[f89]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( admin_indi_may_file(admin,X0,X1,read)
      | ~ admin_indi_has_compartments_for_file(admin,X0,X1)
      | ~ admin_indi_has_level_for_file(admin,X0,X1)
      | ~ admin_indi_has_need_to_know_for_file(admin,X0,X1)
      | ~ admin_indi_has_citizenship_for_file(admin,X0,X1)
      | ~ state_file_is_not_working_paper(X1) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( admin_indi_may_file(admin,X0,X1,read)
      | ~ admin_indi_has_compartments_for_file(admin,X0,X1)
      | ~ admin_indi_has_level_for_file(admin,X0,X1)
      | ~ admin_indi_has_need_to_know_for_file(admin,X0,X1)
      | ~ admin_indi_has_citizenship_for_file(admin,X0,X1)
      | ~ state_file_is_not_working_paper(X1) ),
    inference(flattening,[],[f106]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( admin_file_has_compartments(admin,X0,X1)
      | ~ admin_file_has_compartments_h(admin,X0,X1,X1)
      | ~ system_file_needs_compartments(system,X0,X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( admin_file_has_compartments(admin,X0,X1)
      | ~ admin_file_has_compartments_h(admin,X0,X1,X1)
      | ~ system_file_needs_compartments(system,X0,X1) ),
    inference(flattening,[],[f116]) ).

fof(f118,plain,
    ! [X0,X1,X2] :
      ( admin_file_has_level(admin,X0,X1)
      | ~ admin_file_has_level_h(admin,X0,X1,X2)
      | ~ admin_file_has_compartments(admin,X0,X2)
      | ~ system_file_needs_level(system,X0,X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f119,plain,
    ! [X0,X1,X2] :
      ( admin_file_has_level(admin,X0,X1)
      | ~ admin_file_has_level_h(admin,X0,X1,X2)
      | ~ admin_file_has_compartments(admin,X0,X2)
      | ~ system_file_needs_level(system,X0,X1) ),
    inference(flattening,[],[f118]) ).

fof(f123,plain,
    ! [X0,X1,X2] :
      ( admin_file_has_citizenship(admin,X0,X1)
      | ~ admin_file_has_citizenship_h(admin,X0,X1,X2)
      | ~ admin_file_has_compartments(admin,X0,X2)
      | ~ system_file_needs_citizenship(system,X0,X1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f124,plain,
    ! [X0,X1,X2] :
      ( admin_file_has_citizenship(admin,X0,X1)
      | ~ admin_file_has_citizenship_h(admin,X0,X1,X2)
      | ~ admin_file_has_compartments(admin,X0,X2)
      | ~ system_file_needs_citizenship(system,X0,X1) ),
    inference(flattening,[],[f123]) ).

fof(f127,plain,
    ! [X0,X1,X2] :
      ( admin_indi_has_need_to_know_for_file(admin,X0,X1)
      | ~ owner_indi_has_need_to_know(X2,X0,X1)
      | ~ state_file_has_owner(X1,X2) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f128,plain,
    ! [X0,X1,X2] :
      ( admin_indi_has_need_to_know_for_file(admin,X0,X1)
      | ~ owner_indi_has_need_to_know(X2,X0,X1)
      | ~ state_file_has_owner(X1,X2) ),
    inference(flattening,[],[f127]) ).

fof(f138,plain,
    ! [X0,X1,X2] :
      ( admin_indi_has_level_for_file(admin,X0,X1)
      | ~ admin_indi_has_level(admin,X0,X2)
      | ~ admin_file_has_level(admin,X1,X2) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f139,plain,
    ! [X0,X1,X2] :
      ( admin_indi_has_level_for_file(admin,X0,X1)
      | ~ admin_indi_has_level(admin,X0,X2)
      | ~ admin_file_has_level(admin,X1,X2) ),
    inference(flattening,[],[f138]) ).

fof(f142,plain,
    ! [X0,X1,X2] :
      ( admin_indi_has_compartments_for_file(admin,X0,X1)
      | ~ admin_indi_has_compartments(admin,X0,X2)
      | ~ admin_file_has_compartments(admin,X1,X2) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f143,plain,
    ! [X0,X1,X2] :
      ( admin_indi_has_compartments_for_file(admin,X0,X1)
      | ~ admin_indi_has_compartments(admin,X0,X2)
      | ~ admin_file_has_compartments(admin,X1,X2) ),
    inference(flattening,[],[f142]) ).

fof(f144,plain,
    ! [X0,X1,X2] :
      ( admin_indi_has_citizenship_for_file(admin,X0,X1)
      | ~ admin_indi_has_citizenship(admin,X0,X2)
      | ~ admin_file_has_citizenship(admin,X1,X2) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f145,plain,
    ! [X0,X1,X2] :
      ( admin_indi_has_citizenship_for_file(admin,X0,X1)
      | ~ admin_indi_has_citizenship(admin,X0,X2)
      | ~ admin_file_has_citizenship(admin,X1,X2) ),
    inference(flattening,[],[f144]) ).

fof(f166,plain,
    state_file_is_not_working_paper(not_secretfile),
    inference(cnf_transformation,[],[f62]) ).

fof(f167,plain,
    system_file_needs_compartments(system,not_secretfile,nil),
    inference(cnf_transformation,[],[f63]) ).

fof(f168,plain,
    system_file_needs_level(system,not_secretfile,unclassified),
    inference(cnf_transformation,[],[f64]) ).

fof(f169,plain,
    system_file_needs_citizenship(system,not_secretfile,anycountry),
    inference(cnf_transformation,[],[f65]) ).

fof(f170,plain,
    state_file_has_owner(not_secretfile,owner_not_secretfile),
    inference(cnf_transformation,[],[f66]) ).

fof(f190,plain,
    owner_indi_has_need_to_know(owner_not_secretfile,babu,not_secretfile),
    inference(cnf_transformation,[],[f86]) ).

fof(f192,plain,
    ~ admin_indi_may_file(admin,babu,not_secretfile,read),
    inference(cnf_transformation,[],[f90]) ).

fof(f203,plain,
    ! [X0] : admin_indi_has_level(admin,X0,unclassified),
    inference(cnf_transformation,[],[f25]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( ~ admin_indi_has_need_to_know_for_file(admin,X0,X1)
      | ~ admin_indi_has_compartments_for_file(admin,X0,X1)
      | ~ admin_indi_has_level_for_file(admin,X0,X1)
      | admin_indi_may_file(admin,X0,X1,read)
      | ~ admin_indi_has_citizenship_for_file(admin,X0,X1)
      | ~ state_file_is_not_working_paper(X1) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f208,plain,
    ! [X0] : admin_indi_has_compartments(admin,X0,nil),
    inference(cnf_transformation,[],[f27]) ).

fof(f209,plain,
    ! [X0,X1] : admin_file_has_citizenship_h(admin,X0,X1,nil),
    inference(cnf_transformation,[],[f16]) ).

fof(f210,plain,
    ! [X0,X1] : admin_file_has_level_h(admin,X0,X1,nil),
    inference(cnf_transformation,[],[f13]) ).

fof(f211,plain,
    ! [X0,X1] : admin_file_has_compartments_h(admin,X0,X1,nil),
    inference(cnf_transformation,[],[f10]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( ~ system_file_needs_compartments(system,X0,X1)
      | ~ admin_file_has_compartments_h(admin,X0,X1,X1)
      | admin_file_has_compartments(admin,X0,X1) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f217,plain,
    ! [X2,X0,X1] :
      ( admin_file_has_level(admin,X0,X1)
      | ~ admin_file_has_level_h(admin,X0,X1,X2)
      | ~ admin_file_has_compartments(admin,X0,X2)
      | ~ system_file_needs_level(system,X0,X1) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f220,plain,
    ! [X2,X0,X1] :
      ( admin_file_has_citizenship(admin,X0,X1)
      | ~ admin_file_has_citizenship_h(admin,X0,X1,X2)
      | ~ admin_file_has_compartments(admin,X0,X2)
      | ~ system_file_needs_citizenship(system,X0,X1) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f222,plain,
    ! [X2,X0,X1] :
      ( admin_indi_has_need_to_know_for_file(admin,X0,X1)
      | ~ owner_indi_has_need_to_know(X2,X0,X1)
      | ~ state_file_has_owner(X1,X2) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f223,plain,
    ! [X0] : admin_indi_has_citizenship(admin,X0,anycountry),
    inference(cnf_transformation,[],[f23]) ).

fof(f229,plain,
    ! [X2,X0,X1] :
      ( admin_indi_has_level_for_file(admin,X0,X1)
      | ~ admin_indi_has_level(admin,X0,X2)
      | ~ admin_file_has_level(admin,X1,X2) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f231,plain,
    ! [X2,X0,X1] :
      ( admin_indi_has_compartments_for_file(admin,X0,X1)
      | ~ admin_indi_has_compartments(admin,X0,X2)
      | ~ admin_file_has_compartments(admin,X1,X2) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f232,plain,
    ! [X2,X0,X1] :
      ( ~ admin_file_has_citizenship(admin,X1,X2)
      | ~ admin_indi_has_citizenship(admin,X0,X2)
      | admin_indi_has_citizenship_for_file(admin,X0,X1) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f275,plain,
    ( ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
    | admin_file_has_compartments(admin,not_secretfile,nil) ),
    inference(resolution,[],[f216,f167]) ).

fof(f285,definition,
    ( spl0_9
  <=> admin_file_has_compartments(admin,not_secretfile,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f286,plain,
    ( admin_file_has_compartments(admin,not_secretfile,nil)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f288,definition,
    ( spl0_10
  <=> admin_file_has_compartments_h(admin,not_secretfile,nil,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f289,plain,
    ( ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f290,plain,
    ( spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f275,f288,f285]) ).

fof(f291,plain,
    ( $false
    | spl0_10 ),
    inference(resolution,[],[f289,f211]) ).

fof(f292,plain,
    spl0_10,
    inference(avatar_contradiction_clause,[],[f291]) ).

fof(f306,plain,
    ! [X2,X3,X0,X1] :
      ( admin_indi_has_citizenship_for_file(admin,X3,X0)
      | ~ admin_file_has_compartments(admin,X0,X2)
      | ~ system_file_needs_citizenship(system,X0,X1)
      | ~ admin_indi_has_citizenship(admin,X3,X1)
      | ~ admin_file_has_citizenship_h(admin,X0,X1,X2) ),
    inference(resolution,[],[f220,f232]) ).

fof(f309,plain,
    ! [X2,X0,X1] :
      ( ~ admin_indi_has_level_for_file(admin,X0,X1)
      | ~ admin_indi_has_compartments_for_file(admin,X0,X1)
      | admin_indi_may_file(admin,X0,X1,read)
      | ~ admin_indi_has_citizenship_for_file(admin,X0,X1)
      | ~ state_file_is_not_working_paper(X1)
      | ~ owner_indi_has_need_to_know(X2,X0,X1)
      | ~ state_file_has_owner(X1,X2) ),
    inference(resolution,[],[f207,f222]) ).

fof(f366,plain,
    ! [X2,X3,X0,X1] :
      ( ~ admin_indi_has_compartments_for_file(admin,X0,X1)
      | admin_indi_may_file(admin,X0,X1,read)
      | ~ admin_indi_has_citizenship_for_file(admin,X0,X1)
      | ~ state_file_is_not_working_paper(X1)
      | ~ owner_indi_has_need_to_know(X2,X0,X1)
      | ~ state_file_has_owner(X1,X2)
      | ~ admin_indi_has_level(admin,X0,X3)
      | ~ admin_file_has_level(admin,X1,X3) ),
    inference(resolution,[],[f309,f229]) ).

fof(f367,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ admin_file_has_level(admin,X1,X3)
      | ~ admin_indi_has_citizenship_for_file(admin,X0,X1)
      | ~ state_file_is_not_working_paper(X1)
      | ~ owner_indi_has_need_to_know(X2,X0,X1)
      | ~ state_file_has_owner(X1,X2)
      | ~ admin_indi_has_level(admin,X0,X3)
      | admin_indi_may_file(admin,X0,X1,read)
      | ~ admin_indi_has_compartments(admin,X0,X4)
      | ~ admin_file_has_compartments(admin,X1,X4) ),
    inference(resolution,[],[f366,f231]) ).

fof(f405,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( admin_indi_may_file(admin,X0,X1,read)
      | ~ state_file_is_not_working_paper(X1)
      | ~ owner_indi_has_need_to_know(X2,X0,X1)
      | ~ state_file_has_owner(X1,X2)
      | ~ admin_indi_has_level(admin,X0,X3)
      | ~ admin_indi_has_citizenship_for_file(admin,X0,X1)
      | ~ admin_indi_has_compartments(admin,X0,X4)
      | ~ admin_file_has_compartments(admin,X1,X4)
      | ~ admin_file_has_level_h(admin,X1,X3,X5)
      | ~ admin_file_has_compartments(admin,X1,X5)
      | ~ system_file_needs_level(system,X1,X3) ),
    inference(resolution,[],[f367,f217]) ).

fof(f474,plain,
    ! [X2,X3,X0,X1] :
      ( ~ state_file_is_not_working_paper(not_secretfile)
      | ~ owner_indi_has_need_to_know(X0,babu,not_secretfile)
      | ~ state_file_has_owner(not_secretfile,X0)
      | ~ admin_indi_has_level(admin,babu,X1)
      | ~ admin_indi_has_citizenship_for_file(admin,babu,not_secretfile)
      | ~ admin_indi_has_compartments(admin,babu,X2)
      | ~ admin_file_has_compartments(admin,not_secretfile,X2)
      | ~ admin_file_has_level_h(admin,not_secretfile,X1,X3)
      | ~ admin_file_has_compartments(admin,not_secretfile,X3)
      | ~ system_file_needs_level(system,not_secretfile,X1) ),
    inference(resolution,[],[f405,f192]) ).

fof(f476,definition,
    ( spl0_43
  <=> ! [X2] :
        ( ~ admin_indi_has_compartments(admin,babu,X2)
        | ~ admin_file_has_compartments(admin,not_secretfile,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f477,plain,
    ( ! [X2] :
        ( ~ admin_indi_has_compartments(admin,babu,X2)
        | ~ admin_file_has_compartments(admin,not_secretfile,X2) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f479,definition,
    ( spl0_44
  <=> admin_indi_has_citizenship_for_file(admin,babu,not_secretfile) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f480,plain,
    ( ~ admin_indi_has_citizenship_for_file(admin,babu,not_secretfile)
    | spl0_44 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f482,definition,
    ( spl0_45
  <=> ! [X1,X3] :
        ( ~ admin_indi_has_level(admin,babu,X1)
        | ~ system_file_needs_level(system,not_secretfile,X1)
        | ~ admin_file_has_compartments(admin,not_secretfile,X3)
        | ~ admin_file_has_level_h(admin,not_secretfile,X1,X3) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f483,plain,
    ( ! [X3,X1] :
        ( ~ system_file_needs_level(system,not_secretfile,X1)
        | ~ admin_indi_has_level(admin,babu,X1)
        | ~ admin_file_has_compartments(admin,not_secretfile,X3)
        | ~ admin_file_has_level_h(admin,not_secretfile,X1,X3) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f485,definition,
    ( spl0_46
  <=> ! [X0] :
        ( ~ owner_indi_has_need_to_know(X0,babu,not_secretfile)
        | ~ state_file_has_owner(not_secretfile,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f486,plain,
    ( ! [X0] :
        ( ~ owner_indi_has_need_to_know(X0,babu,not_secretfile)
        | ~ state_file_has_owner(not_secretfile,X0) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f485]) ).

fof(f488,definition,
    ( spl0_47
  <=> state_file_is_not_working_paper(not_secretfile) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f489,plain,
    ( ~ state_file_is_not_working_paper(not_secretfile)
    | spl0_47 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f490,plain,
    ( spl0_43
    | ~ spl0_44
    | spl0_45
    | spl0_46
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f474,f488,f485,f482,f479,f476]) ).

fof(f497,definition,
    ( spl0_48
  <=> admin_indi_has_citizenship(admin,babu,anycountry) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f498,plain,
    ( ~ admin_indi_has_citizenship(admin,babu,anycountry)
    | spl0_48 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f500,definition,
    ( spl0_49
  <=> ! [X0] :
        ( ~ admin_file_has_compartments(admin,not_secretfile,X0)
        | ~ admin_file_has_citizenship_h(admin,not_secretfile,anycountry,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f501,plain,
    ( ! [X0] :
        ( ~ admin_file_has_citizenship_h(admin,not_secretfile,anycountry,X0)
        | ~ admin_file_has_compartments(admin,not_secretfile,X0) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f500]) ).

fof(f505,plain,
    ( $false
    | spl0_48 ),
    inference(resolution,[],[f498,f223]) ).

fof(f506,plain,
    spl0_48,
    inference(avatar_contradiction_clause,[],[f505]) ).

fof(f507,plain,
    ( $false
    | spl0_47 ),
    inference(resolution,[],[f489,f166]) ).

fof(f508,plain,
    spl0_47,
    inference(avatar_contradiction_clause,[],[f507]) ).

fof(f509,plain,
    ( ~ admin_file_has_compartments(admin,not_secretfile,nil)
    | ~ spl0_43 ),
    inference(resolution,[],[f477,f208]) ).

fof(f511,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_43 ),
    inference(resolution,[],[f509,f286]) ).

fof(f512,plain,
    ( ~ spl0_9
    | ~ spl0_43 ),
    inference(avatar_contradiction_clause,[],[f511]) ).

fof(f513,plain,
    ( ! [X0] :
        ( ~ admin_indi_has_level(admin,babu,unclassified)
        | ~ admin_file_has_compartments(admin,not_secretfile,X0)
        | ~ admin_file_has_level_h(admin,not_secretfile,unclassified,X0) )
    | ~ spl0_45 ),
    inference(resolution,[],[f483,f168]) ).

fof(f515,definition,
    ( spl0_50
  <=> ! [X0] :
        ( ~ admin_file_has_compartments(admin,not_secretfile,X0)
        | ~ admin_file_has_level_h(admin,not_secretfile,unclassified,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f516,plain,
    ( ! [X0] :
        ( ~ admin_file_has_level_h(admin,not_secretfile,unclassified,X0)
        | ~ admin_file_has_compartments(admin,not_secretfile,X0) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f515]) ).

fof(f518,definition,
    ( spl0_51
  <=> admin_indi_has_level(admin,babu,unclassified) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f519,plain,
    ( ~ admin_indi_has_level(admin,babu,unclassified)
    | spl0_51 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f521,plain,
    ( $false
    | spl0_51 ),
    inference(resolution,[],[f519,f203]) ).

fof(f522,plain,
    spl0_51,
    inference(avatar_contradiction_clause,[],[f521]) ).

fof(f523,plain,
    ( ~ state_file_has_owner(not_secretfile,owner_not_secretfile)
    | ~ spl0_46 ),
    inference(resolution,[],[f486,f190]) ).

fof(f524,plain,
    ( $false
    | ~ spl0_46 ),
    inference(resolution,[],[f523,f170]) ).

fof(f525,plain,
    ~ spl0_46,
    inference(avatar_contradiction_clause,[],[f524]) ).

fof(f526,plain,
    ( ! [X0,X1] :
        ( ~ system_file_needs_citizenship(system,not_secretfile,X1)
        | ~ admin_file_has_compartments(admin,not_secretfile,X0)
        | ~ admin_indi_has_citizenship(admin,babu,X1)
        | ~ admin_file_has_citizenship_h(admin,not_secretfile,X1,X0) )
    | spl0_44 ),
    inference(resolution,[],[f480,f306]) ).

fof(f532,plain,
    ( ! [X0] :
        ( ~ admin_file_has_compartments(admin,not_secretfile,X0)
        | ~ admin_indi_has_citizenship(admin,babu,anycountry)
        | ~ admin_file_has_citizenship_h(admin,not_secretfile,anycountry,X0) )
    | spl0_44 ),
    inference(resolution,[],[f526,f169]) ).

fof(f533,plain,
    ( ~ spl0_48
    | spl0_49
    | spl0_44 ),
    inference(avatar_split_clause,[],[f532,f479,f500,f497]) ).

fof(f534,plain,
    ( ~ admin_file_has_compartments(admin,not_secretfile,nil)
    | ~ spl0_49 ),
    inference(resolution,[],[f501,f209]) ).

fof(f537,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_49 ),
    inference(resolution,[],[f534,f286]) ).

fof(f538,plain,
    ( ~ spl0_9
    | ~ spl0_49 ),
    inference(avatar_contradiction_clause,[],[f537]) ).

fof(f539,plain,
    ( spl0_50
    | ~ spl0_51
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f513,f482,f518,f515]) ).

fof(f542,plain,
    ( ~ admin_file_has_compartments(admin,not_secretfile,nil)
    | ~ spl0_50 ),
    inference(resolution,[],[f516,f210]) ).

fof(f543,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_50 ),
    inference(resolution,[],[f542,f286]) ).

fof(f544,plain,
    ( ~ spl0_9
    | ~ spl0_50 ),
    inference(avatar_contradiction_clause,[],[f543]) ).

cnf(s8,plain,
    ( spl0_9
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f290]) ).

cnf(s9,plain,
    spl0_10,
    inference(sat_conversion,[],[f292]) ).

cnf(s35,plain,
    ( spl0_43
    | ~ spl0_44
    | spl0_45
    | spl0_46
    | ~ spl0_47 ),
    inference(sat_conversion,[],[f490]) ).

cnf(s37,plain,
    spl0_48,
    inference(sat_conversion,[],[f506]) ).

cnf(s38,plain,
    spl0_47,
    inference(sat_conversion,[],[f508]) ).

cnf(s39,plain,
    ( ~ spl0_9
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f512]) ).

cnf(s41,plain,
    spl0_51,
    inference(sat_conversion,[],[f522]) ).

cnf(s42,plain,
    ~ spl0_46,
    inference(sat_conversion,[],[f525]) ).

cnf(s43,plain,
    ( spl0_44
    | ~ spl0_48
    | spl0_49 ),
    inference(sat_conversion,[],[f533]) ).

cnf(s45,plain,
    ( ~ spl0_9
    | ~ spl0_49 ),
    inference(sat_conversion,[],[f538]) ).

cnf(s46,plain,
    ( ~ spl0_45
    | spl0_50
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f539]) ).

cnf(s47,plain,
    ( ~ spl0_9
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f544]) ).

cnf(s50,plain,
    ( spl0_43
    | ~ spl0_44
    | spl0_45 ),
    inference(rat,[],[s35,s38,s42]) ).

cnf(s64,plain,
    spl0_9,
    inference(rat,[],[s8,s9]) ).

cnf(s65,plain,
    ~ spl0_50,
    inference(rat,[],[s47,s64]) ).

cnf(s66,plain,
    ~ spl0_49,
    inference(rat,[],[s45,s64]) ).

cnf(s67,plain,
    ~ spl0_43,
    inference(rat,[],[s39,s64]) ).

cnf(s68,plain,
    ~ spl0_45,
    inference(rat,[],[s46,s41,s65]) ).

cnf(s69,plain,
    spl0_44,
    inference(rat,[],[s43,s37,s66]) ).

cnf(s70,plain,
    $false,
    inference(rat,[],[s50,s68,s69,s67]) ).

fof(f545,plain,
    $false,
    inference(avatar_sat_refutation,[],[s70]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV438+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  % Computer : n002.cluster.edu
% 0.09/0.23  % Model    : x86_64 x86_64
% 0.09/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23  % Memory   : 8046.5625MB
% 0.09/0.23  % OS       : Linux 6.8.0-71-generic
% 0.09/0.23  % CPULimit : 300
% 0.09/0.23  % WCLimit  : 300
% 0.09/0.23  % DateTime : Mon Sep 28 11:10:36 UTC 2026
% 0.09/0.23  % CPUTime  : 
% 0.09/0.23  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.28  Running first-order theorem proving
% 0.09/0.28  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.77/1.48  % (287130)Detected formulas, will run a generic FOF schedule.
% 4.77/1.48  % (287135)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2174664229:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.77/1.48  % (287141)dis-21_1_sil=8000:lcm=predicate:random_seed=3626473357:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.77/1.48  % (287141)First to succeed.
% 4.77/1.48  % (287141)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-287130"
% 4.77/1.48  % (287138)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3629362352:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.77/1.48  % (287136)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2382294348:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.77/1.48  % (287137)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2418067104:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.77/1.48  % (287139)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4249148058:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.77/1.48  % (287139)Refutation not found, incomplete strategy
% 4.77/1.48  % (287139)------------------------------
% 4.77/1.48  % (287139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.77/1.48  % (287139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.77/1.48  % (287139)CaDiCaL version: 2.1.3
% 4.77/1.48  % (287138)Refutation not found, incomplete strategy
% 4.77/1.48  % (287138)------------------------------
% 4.77/1.48  % (287138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.77/1.48  % (287139)Termination reason: Refutation not found, incomplete strategy
% 4.77/1.48  % (287139)Time elapsed: 0.003 s
% 4.77/1.48  % (287139)Peak memory usage: 87 MB
% 4.77/1.48  % (287139)Instructions burned: 1 (million)
% 4.77/1.48  % (287138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.77/1.48  % (287138)CaDiCaL version: 2.1.3
% 4.77/1.48  % (287138)Termination reason: Refutation not found, incomplete strategy
% 4.77/1.48  % (287138)Time elapsed: 0.003 s
% 4.77/1.48  % (287138)Peak memory usage: 88 MB
% 4.77/1.48  % (287138)Instructions burned: 1 (million)
% 4.77/1.48  % (287140)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=947314125:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.77/1.48  % (287140)Also succeeded, but the first one will report.
% 4.77/1.48  % (287139)------------------------------
% 4.77/1.48  % (287139)------------------------------
% 4.77/1.48  % (287138)------------------------------
% 4.77/1.48  % (287138)------------------------------
% 4.77/1.48  % (287141)Refutation found. Thanks to Tanya!
% 4.77/1.48  % SZS status Theorem for theBenchmark
% 4.77/1.48  % SZS output start Proof for theBenchmark
% See solution above
% 5.53/1.72  % (287141)------------------------------
% 5.53/1.72  % (287141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.53/1.72  % (287141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.53/1.72  % (287141)CaDiCaL version: 2.1.3
% 5.53/1.72  % (287141)Termination reason: Refutation
% 5.53/1.72  % (287141)Time elapsed: 0.016 s
% 5.53/1.72  % (287141)Peak memory usage: 89 MB
% 5.53/1.72  % (287141)Instructions burned: 12 (million)
% 5.53/1.72  % (287141)------------------------------
% 5.53/1.72  % (287141)------------------------------
% 5.53/1.72  % (287130)Success in time 0.664 s
% 5.53/1.72  % Vampire exiting
%------------------------------------------------------------------------------