%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV438+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 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 : Sun Sep 27 09:07:57 AM UTC 2026
% Result : Theorem 0.11s 0.58s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 21
% Syntax : Number of formulae : 67 ( 30 unt; 0 def)
% Number of atoms : 180 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 213 ( 100 ~; 92 |; 0 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 72 ( 11 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax8,axiom,
! [F,CL] :
( system_file_needs_compartments(system,F,CL)
=> ( admin_file_has_compartments_h(admin,F,CL,CL)
=> admin_file_has_compartments(admin,F,CL) ) ),
file('theBenchmark.p',ax8) ).
fof(ax9,axiom,
! [F,CL] : admin_file_has_compartments_h(admin,F,CL,nil),
file('theBenchmark.p',ax9) ).
fof(ax11,axiom,
! [F,L,CL] :
( system_file_needs_level(system,F,L)
=> ( admin_file_has_compartments(admin,F,CL)
=> ( admin_file_has_level_h(admin,F,L,CL)
=> admin_file_has_level(admin,F,L) ) ) ),
file('theBenchmark.p',ax11) ).
fof(ax12,axiom,
! [F,L] : admin_file_has_level_h(admin,F,L,nil),
file('theBenchmark.p',ax12) ).
fof(ax14,axiom,
! [F,U,CL] :
( system_file_needs_citizenship(system,F,U)
=> ( admin_file_has_compartments(admin,F,CL)
=> ( admin_file_has_citizenship_h(admin,F,U,CL)
=> admin_file_has_citizenship(admin,F,U) ) ) ),
file('theBenchmark.p',ax14) ).
fof(ax15,axiom,
! [F,U] : admin_file_has_citizenship_h(admin,F,U,nil),
file('theBenchmark.p',ax15) ).
fof(ax22,axiom,
! [K] : admin_indi_has_citizenship(admin,K,anycountry),
file('theBenchmark.p',ax22) ).
fof(ax24,axiom,
! [K] : admin_indi_has_level(admin,K,unclassified),
file('theBenchmark.p',ax24) ).
fof(ax26,axiom,
! [K] : admin_indi_has_compartments(admin,K,nil),
file('theBenchmark.p',ax26) ).
fof(ax34,axiom,
! [K,F,CL] :
( admin_file_has_compartments(admin,F,CL)
=> ( admin_indi_has_compartments(admin,K,CL)
=> admin_indi_has_compartments_for_file(admin,K,F) ) ),
file('theBenchmark.p',ax34) ).
fof(ax35,axiom,
! [K,F,L] :
( admin_file_has_level(admin,F,L)
=> ( admin_indi_has_level(admin,K,L)
=> admin_indi_has_level_for_file(admin,K,F) ) ),
file('theBenchmark.p',ax35) ).
fof(ax36,axiom,
! [K,F,OWR] :
( state_file_has_owner(F,OWR)
=> ( owner_indi_has_need_to_know(OWR,K,F)
=> admin_indi_has_need_to_know_for_file(admin,K,F) ) ),
file('theBenchmark.p',ax36) ).
fof(ax37,axiom,
! [K,F,L] :
( admin_file_has_citizenship(admin,F,L)
=> ( admin_indi_has_citizenship(admin,K,L)
=> admin_indi_has_citizenship_for_file(admin,K,F) ) ),
file('theBenchmark.p',ax37) ).
fof(ax39,axiom,
! [K,F] :
( state_file_is_not_working_paper(F)
=> ( admin_indi_has_citizenship_for_file(admin,K,F)
=> ( admin_indi_has_need_to_know_for_file(admin,K,F)
=> ( admin_indi_has_level_for_file(admin,K,F)
=> ( admin_indi_has_compartments_for_file(admin,K,F)
=> admin_indi_may_file(admin,K,F,read) ) ) ) ) ),
file('theBenchmark.p',ax39) ).
fof(babureadnotsecret,conjecture,
admin_indi_may_file(admin,babu,not_secretfile,read),
file('theBenchmark.p',babureadnotsecret) ).
fof(babureadnotsecret_neg,negated_conjecture,
~ admin_indi_may_file(admin,babu,not_secretfile,read),
inference(assume_negation,[status(cth)],[babureadnotsecret]) ).
cnf(c_81,plain,
( admin_file_has_compartments(admin,A,B)
| ~ admin_file_has_compartments_h(admin,A,B,B)
| ~ system_file_needs_compartments(system,A,B) ),
inference(clausify,[status(thm)],[ax8]) ).
fof(ax62,axiom,
system_file_needs_compartments(system,not_secretfile,nil),
file('theBenchmark.p',ax62) ).
cnf(c_83,plain,
system_file_needs_compartments(system,not_secretfile,nil),
inference(clausify,[status(thm)],[ax62]) ).
cnf(c_84,plain,
( admin_file_has_level(admin,A,B)
| ~ admin_file_has_level_h(admin,A,B,C)
| ~ admin_file_has_compartments(admin,A,C)
| ~ system_file_needs_level(system,A,B) ),
inference(clausify,[status(thm)],[ax11]) ).
cnf(c_86,plain,
( admin_file_has_compartments(admin,not_secretfile,nil)
| ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil) ),
inference(resolve,[status(thm)],[c_81,c_83]) ).
cnf(c_87,plain,
( admin_file_has_citizenship(admin,A,B)
| ~ admin_file_has_citizenship_h(admin,A,B,C)
| ~ admin_file_has_compartments(admin,A,C)
| ~ system_file_needs_citizenship(system,A,B) ),
inference(clausify,[status(thm)],[ax14]) ).
cnf(c_88,plain,
( admin_indi_has_compartments_for_file(admin,C,A)
| ~ admin_indi_has_compartments(admin,C,B)
| ~ admin_file_has_compartments(admin,A,B) ),
inference(clausify,[status(thm)],[ax34]) ).
fof(ax63,axiom,
system_file_needs_level(system,not_secretfile,unclassified),
file('theBenchmark.p',ax63) ).
cnf(c_94,plain,
system_file_needs_level(system,not_secretfile,unclassified),
inference(clausify,[status(thm)],[ax63]) ).
cnf(c_96,plain,
( ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| admin_file_has_level(admin,not_secretfile,A)
| ~ admin_file_has_level_h(admin,not_secretfile,A,nil)
| ~ system_file_needs_level(system,not_secretfile,A) ),
inference(resolve,[status(thm)],[c_84,c_86]) ).
cnf(c_97,plain,
( admin_indi_has_level_for_file(admin,C,A)
| ~ admin_indi_has_level(admin,C,B)
| ~ admin_file_has_level(admin,A,B) ),
inference(clausify,[status(thm)],[ax35]) ).
cnf(c_99,plain,
( ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| admin_file_has_level(admin,not_secretfile,unclassified)
| ~ admin_file_has_level_h(admin,not_secretfile,unclassified,nil) ),
inference(resolve,[status(thm)],[c_96,c_94]) ).
fof(ax64,axiom,
system_file_needs_citizenship(system,not_secretfile,anycountry),
file('theBenchmark.p',ax64) ).
cnf(c_104,plain,
system_file_needs_citizenship(system,not_secretfile,anycountry),
inference(clausify,[status(thm)],[ax64]) ).
cnf(c_106,plain,
( ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| admin_file_has_citizenship(admin,not_secretfile,A)
| ~ admin_file_has_citizenship_h(admin,not_secretfile,A,nil)
| ~ system_file_needs_citizenship(system,not_secretfile,A) ),
inference(resolve,[status(thm)],[c_87,c_86]) ).
cnf(c_108,plain,
( admin_indi_has_citizenship_for_file(admin,C,A)
| ~ admin_indi_has_citizenship(admin,C,B)
| ~ admin_file_has_citizenship(admin,A,B) ),
inference(clausify,[status(thm)],[ax37]) ).
cnf(c_109,plain,
( ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| admin_file_has_citizenship(admin,not_secretfile,anycountry)
| ~ admin_file_has_citizenship_h(admin,not_secretfile,anycountry,nil) ),
inference(resolve,[status(thm)],[c_104,c_106]) ).
cnf(c_147,plain,
admin_indi_has_citizenship(admin,A,anycountry),
inference(clausify,[status(thm)],[ax22]) ).
cnf(c_153,plain,
( ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| ~ admin_file_has_citizenship_h(admin,not_secretfile,anycountry,nil)
| admin_indi_has_citizenship_for_file(admin,A,not_secretfile)
| ~ admin_indi_has_citizenship(admin,A,anycountry) ),
inference(resolve,[status(thm)],[c_108,c_109]) ).
cnf(c_161,plain,
( ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| ~ admin_file_has_level_h(admin,not_secretfile,unclassified,nil)
| admin_indi_has_level_for_file(admin,A,not_secretfile)
| ~ admin_indi_has_level(admin,A,unclassified) ),
inference(resolve,[status(thm)],[c_97,c_99]) ).
cnf(c_165,plain,
admin_indi_has_level(admin,A,unclassified),
inference(clausify,[status(thm)],[ax24]) ).
cnf(c_230,plain,
( admin_indi_may_file(admin,B,A,read)
| ~ admin_indi_has_compartments_for_file(admin,B,A)
| ~ admin_indi_has_level_for_file(admin,B,A)
| ~ admin_indi_has_need_to_know_for_file(admin,B,A)
| ~ admin_indi_has_citizenship_for_file(admin,B,A)
| ~ state_file_is_not_working_paper(A) ),
inference(clausify,[status(thm)],[ax39]) ).
cnf(c_231,plain,
( ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| admin_indi_has_compartments_for_file(admin,A,not_secretfile)
| ~ admin_indi_has_compartments(admin,A,nil) ),
inference(resolve,[status(thm)],[c_88,c_86]) ).
cnf(c_232,plain,
( ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| ~ admin_file_has_level_h(admin,not_secretfile,unclassified,nil)
| admin_indi_has_level_for_file(admin,A,not_secretfile) ),
inference(resolve,[status(thm)],[c_165,c_161]) ).
cnf(c_234,plain,
( admin_indi_may_file(admin,A,not_secretfile,read)
| ~ admin_indi_has_level_for_file(admin,A,not_secretfile)
| ~ admin_indi_has_need_to_know_for_file(admin,A,not_secretfile)
| ~ admin_indi_has_citizenship_for_file(admin,A,not_secretfile)
| ~ state_file_is_not_working_paper(not_secretfile)
| ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| ~ admin_indi_has_compartments(admin,A,nil) ),
inference(resolve,[status(thm)],[c_231,c_230]) ).
cnf(c_238,plain,
( admin_indi_has_need_to_know_for_file(admin,C,A)
| ~ owner_indi_has_need_to_know(B,C,A)
| ~ state_file_has_owner(A,B) ),
inference(clausify,[status(thm)],[ax36]) ).
fof(ax65,axiom,
state_file_has_owner(not_secretfile,owner_not_secretfile),
file('theBenchmark.p',ax65) ).
cnf(c_239,plain,
state_file_has_owner(not_secretfile,owner_not_secretfile),
inference(clausify,[status(thm)],[ax65]) ).
fof(ax85,axiom,
owner_indi_has_need_to_know(owner_not_secretfile,babu,not_secretfile),
file('theBenchmark.p',ax85) ).
cnf(c_240,plain,
owner_indi_has_need_to_know(owner_not_secretfile,babu,not_secretfile),
inference(clausify,[status(thm)],[ax85]) ).
cnf(c_242,plain,
( admin_indi_has_need_to_know_for_file(admin,A,not_secretfile)
| ~ owner_indi_has_need_to_know(owner_not_secretfile,A,not_secretfile) ),
inference(resolve,[status(thm)],[c_239,c_238]) ).
cnf(c_246,plain,
admin_indi_has_need_to_know_for_file(admin,babu,not_secretfile),
inference(resolve,[status(thm)],[c_240,c_242]) ).
cnf(c_248,plain,
( admin_indi_may_file(admin,A,not_secretfile,read)
| ~ admin_indi_has_need_to_know_for_file(admin,A,not_secretfile)
| ~ admin_indi_has_citizenship_for_file(admin,A,not_secretfile)
| ~ state_file_is_not_working_paper(not_secretfile)
| ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| ~ admin_indi_has_compartments(admin,A,nil)
| ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| ~ admin_file_has_level_h(admin,not_secretfile,unclassified,nil) ),
inference(resolve,[status(thm)],[c_232,c_234]) ).
cnf(c_249,plain,
( ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| ~ admin_file_has_citizenship_h(admin,not_secretfile,anycountry,nil)
| admin_indi_has_citizenship_for_file(admin,A,not_secretfile) ),
inference(resolve,[status(thm)],[c_153,c_147]) ).
cnf(c_251,plain,
( admin_indi_may_file(admin,babu,not_secretfile,read)
| ~ admin_indi_has_citizenship_for_file(admin,babu,not_secretfile)
| ~ state_file_is_not_working_paper(not_secretfile)
| ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| ~ admin_indi_has_compartments(admin,babu,nil)
| ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| ~ admin_file_has_level_h(admin,not_secretfile,unclassified,nil) ),
inference(resolve,[status(thm)],[c_248,c_246]) ).
cnf(c_254,plain,
( admin_indi_may_file(admin,babu,not_secretfile,read)
| ~ state_file_is_not_working_paper(not_secretfile)
| ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| ~ admin_indi_has_compartments(admin,babu,nil)
| ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| ~ admin_file_has_level_h(admin,not_secretfile,unclassified,nil)
| ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| ~ admin_file_has_citizenship_h(admin,not_secretfile,anycountry,nil) ),
inference(resolve,[status(thm)],[c_249,c_251]) ).
fof(ax61,axiom,
state_file_is_not_working_paper(not_secretfile),
file('theBenchmark.p',ax61) ).
cnf(c_256,plain,
state_file_is_not_working_paper(not_secretfile),
inference(clausify,[status(thm)],[ax61]) ).
cnf(c_257,negated_conjecture,
~ admin_indi_may_file(admin,babu,not_secretfile,read),
inference(clausify,[status(thm)],[babureadnotsecret_neg]) ).
cnf(c_261,plain,
( admin_indi_may_file(admin,babu,not_secretfile,read)
| ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| ~ admin_indi_has_compartments(admin,babu,nil)
| ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| ~ admin_file_has_level_h(admin,not_secretfile,unclassified,nil)
| ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| ~ admin_file_has_citizenship_h(admin,not_secretfile,anycountry,nil) ),
inference(resolve,[status(thm)],[c_256,c_254]) ).
cnf(c_272,plain,
admin_indi_has_compartments(admin,A,nil),
inference(clausify,[status(thm)],[ax26]) ).
cnf(c_273,plain,
admin_file_has_citizenship_h(admin,A,B,nil),
inference(clausify,[status(thm)],[ax15]) ).
cnf(c_274,plain,
admin_file_has_level_h(admin,A,B,nil),
inference(clausify,[status(thm)],[ax12]) ).
cnf(c_275,plain,
admin_file_has_compartments_h(admin,A,B,nil),
inference(clausify,[status(thm)],[ax9]) ).
cnf(c_329,negated_conjecture,
( ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| ~ admin_indi_has_compartments(admin,babu,nil)
| ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| ~ admin_file_has_level_h(admin,not_secretfile,unclassified,nil)
| ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| ~ admin_file_has_citizenship_h(admin,not_secretfile,anycountry,nil) ),
inference(resolve,[status(thm)],[c_257,c_261]) ).
cnf(c_331,negated_conjecture,
( ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| ~ admin_indi_has_compartments(admin,babu,nil)
| ~ admin_file_has_level_h(admin,not_secretfile,unclassified,nil)
| ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| ~ admin_file_has_citizenship_h(admin,not_secretfile,anycountry,nil) ),
inference(copy,[status(thm)],[c_329]) ).
cnf(c_332,negated_conjecture,
( ~ admin_indi_has_compartments(admin,babu,nil)
| ~ admin_file_has_level_h(admin,not_secretfile,unclassified,nil)
| ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil)
| ~ admin_file_has_citizenship_h(admin,not_secretfile,anycountry,nil) ),
inference(copy,[status(thm)],[c_331]) ).
cnf(c_333,negated_conjecture,
( ~ admin_indi_has_compartments(admin,babu,nil)
| ~ admin_file_has_level_h(admin,not_secretfile,unclassified,nil)
| ~ admin_file_has_compartments_h(admin,not_secretfile,nil,nil) ),
inference(resolve,[status(thm)],[c_273,c_332]) ).
cnf(c_334,negated_conjecture,
( ~ admin_indi_has_compartments(admin,babu,nil)
| ~ admin_file_has_level_h(admin,not_secretfile,unclassified,nil) ),
inference(resolve,[status(thm)],[c_275,c_333]) ).
cnf(c_335,negated_conjecture,
~ admin_indi_has_compartments(admin,babu,nil),
inference(resolve,[status(thm)],[c_274,c_334]) ).
cnf(c_330,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_272,c_335]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV438+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.53 % Computer : n002.cluster.edu
% 0.09/0.53 % Model : x86_64 x86_64
% 0.09/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.53 % Memory : 8046.5625MB
% 0.09/0.53 % OS : Linux 6.8.0-71-generic
% 0.09/0.53 % CPULimit : 300
% 0.09/0.54 % WCLimit : 300
% 0.09/0.54 % DateTime : Sat Sep 26 13:55:51 UTC 2026
% 0.09/0.54 % CPUTime :
% 0.09/0.54 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.54 % Process 1901178 was started by sandbox2 on n002,
% 0.09/0.54 % Sat Sep 26 13:55:51 2026
% 0.09/0.54 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.55
% 0.09/0.55 % From the command line: assign(max_seconds, 300).
% 0.11/0.58
% 0.11/0.58 % SZS status Theorem for theBenchmark
% 0.11/0.58
% 0.11/0.58 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.11/0.58 % Length of proof is 55.
% 0.11/0.58 % Level of proof is 12.
% 0.11/0.58 % Maximum clause weight is 10.000.
% 0.11/0.58 % Given clauses 0.
% 0.11/0.58
% 0.11/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------