TSTP Solution File: SWV438+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV438+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Wed Jul 20 21:43:06 EDT 2022

% Result   : Theorem 0.21s 0.48s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   21
% Syntax   : Number of clauses     :   45 (  19 unt;   0 nHn;  45 RR)
%            Number of literals    :  103 (   0 equ;  65 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-4 aty)
%            Number of functors    :   12 (  12 usr;  12 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    state_file_is_not_working_paper(not_secretfile),
    file('SWV438+1.p',unknown),
    [] ).

cnf(5,axiom,
    state_file_has_owner(not_secretfile,owner_not_secretfile),
    file('SWV438+1.p',unknown),
    [] ).

cnf(22,axiom,
    system_file_needs_compartments(system,not_secretfile,nil),
    file('SWV438+1.p',unknown),
    [] ).

cnf(23,axiom,
    system_file_needs_level(system,not_secretfile,unclassified),
    file('SWV438+1.p',unknown),
    [] ).

cnf(24,axiom,
    system_file_needs_citizenship(system,not_secretfile,anycountry),
    file('SWV438+1.p',unknown),
    [] ).

cnf(36,axiom,
    owner_indi_has_need_to_know(owner_not_secretfile,babu,not_secretfile),
    file('SWV438+1.p',unknown),
    [] ).

cnf(44,axiom,
    admin_indi_has_citizenship(admin,u,anycountry),
    file('SWV438+1.p',unknown),
    [] ).

cnf(45,axiom,
    admin_indi_has_level(admin,u,unclassified),
    file('SWV438+1.p',unknown),
    [] ).

cnf(46,axiom,
    admin_indi_has_compartments(admin,u,nil),
    file('SWV438+1.p',unknown),
    [] ).

cnf(51,axiom,
    admin_file_has_compartments_h(admin,u,v,nil),
    file('SWV438+1.p',unknown),
    [] ).

cnf(52,axiom,
    admin_file_has_level_h(admin,u,v,nil),
    file('SWV438+1.p',unknown),
    [] ).

cnf(53,axiom,
    admin_file_has_citizenship_h(admin,u,v,nil),
    file('SWV438+1.p',unknown),
    [] ).

cnf(54,axiom,
    ~ admin_indi_may_file(admin,babu,not_secretfile,read),
    file('SWV438+1.p',unknown),
    [] ).

cnf(66,axiom,
    ( ~ state_file_has_owner(u,v)
    | ~ owner_indi_has_need_to_know(v,w,u)
    | admin_indi_has_need_to_know_for_file(admin,w,u) ),
    file('SWV438+1.p',unknown),
    [] ).

cnf(68,axiom,
    ( ~ admin_file_has_compartments(admin,u,v)
    | ~ admin_indi_has_compartments(admin,w,v)
    | admin_indi_has_compartments_for_file(admin,w,u) ),
    file('SWV438+1.p',unknown),
    [] ).

cnf(69,axiom,
    ( ~ admin_file_has_level(admin,u,v)
    | ~ admin_indi_has_level(admin,w,v)
    | admin_indi_has_level_for_file(admin,w,u) ),
    file('SWV438+1.p',unknown),
    [] ).

cnf(70,axiom,
    ( ~ admin_file_has_citizenship(admin,u,v)
    | ~ admin_indi_has_citizenship(admin,w,v)
    | admin_indi_has_citizenship_for_file(admin,w,u) ),
    file('SWV438+1.p',unknown),
    [] ).

cnf(72,axiom,
    ( ~ system_file_needs_compartments(system,u,v)
    | ~ admin_file_has_compartments_h(admin,u,v,v)
    | admin_file_has_compartments(admin,u,v) ),
    file('SWV438+1.p',unknown),
    [] ).

cnf(78,axiom,
    ( ~ admin_file_has_compartments(admin,u,v)
    | ~ system_file_needs_citizenship(system,u,w)
    | ~ admin_file_has_citizenship_h(admin,u,w,v)
    | admin_file_has_citizenship(admin,u,w) ),
    file('SWV438+1.p',unknown),
    [] ).

cnf(79,axiom,
    ( ~ admin_file_has_compartments(admin,u,v)
    | ~ system_file_needs_level(system,u,w)
    | ~ admin_file_has_level_h(admin,u,w,v)
    | admin_file_has_level(admin,u,w) ),
    file('SWV438+1.p',unknown),
    [] ).

cnf(84,axiom,
    ( ~ state_file_is_not_working_paper(u)
    | ~ admin_indi_has_citizenship_for_file(admin,v,u)
    | ~ admin_indi_has_compartments_for_file(admin,v,u)
    | ~ admin_indi_has_level_for_file(admin,v,u)
    | ~ admin_indi_has_need_to_know_for_file(admin,v,u)
    | admin_indi_may_file(admin,v,u,read) ),
    file('SWV438+1.p',unknown),
    [] ).

cnf(90,plain,
    ( ~ state_file_is_not_working_paper(not_secretfile)
    | ~ admin_indi_has_need_to_know_for_file(admin,babu,not_secretfile)
    | ~ admin_indi_has_level_for_file(admin,babu,not_secretfile)
    | ~ admin_indi_has_compartments_for_file(admin,babu,not_secretfile)
    | ~ admin_indi_has_citizenship_for_file(admin,babu,not_secretfile) ),
    inference(res,[status(thm),theory(equality)],[84,54]),
    [iquote('0:Res:84.5,54.0')] ).

cnf(91,plain,
    ( ~ admin_indi_has_citizenship_for_file(admin,babu,not_secretfile)
    | ~ admin_indi_has_compartments_for_file(admin,babu,not_secretfile)
    | ~ admin_indi_has_level_for_file(admin,babu,not_secretfile)
    | ~ admin_indi_has_need_to_know_for_file(admin,babu,not_secretfile) ),
    inference(mrr,[status(thm)],[90,2]),
    [iquote('0:MRR:90.0,2.0')] ).

cnf(100,plain,
    ( ~ state_file_has_owner(not_secretfile,owner_not_secretfile)
    | admin_indi_has_need_to_know_for_file(admin,babu,not_secretfile) ),
    inference(res,[status(thm),theory(equality)],[36,66]),
    [iquote('0:Res:36.0,66.1')] ).

cnf(103,plain,
    admin_indi_has_need_to_know_for_file(admin,babu,not_secretfile),
    inference(mrr,[status(thm)],[100,5]),
    [iquote('0:MRR:100.0,5.0')] ).

cnf(104,plain,
    ( ~ admin_indi_has_citizenship_for_file(admin,babu,not_secretfile)
    | ~ admin_indi_has_compartments_for_file(admin,babu,not_secretfile)
    | ~ admin_indi_has_level_for_file(admin,babu,not_secretfile) ),
    inference(mrr,[status(thm)],[91,103]),
    [iquote('0:MRR:91.3,103.0')] ).

cnf(111,plain,
    ( ~ system_file_needs_compartments(system,u,nil)
    | admin_file_has_compartments(admin,u,nil) ),
    inference(res,[status(thm),theory(equality)],[51,72]),
    [iquote('0:Res:51.0,72.1')] ).

cnf(112,plain,
    ( ~ system_file_needs_compartments(system,u,nil)
    | ~ admin_indi_has_compartments(admin,v,nil)
    | admin_indi_has_compartments_for_file(admin,v,u) ),
    inference(res,[status(thm),theory(equality)],[111,68]),
    [iquote('0:Res:111.1,68.0')] ).

cnf(113,plain,
    ( ~ system_file_needs_compartments(system,u,nil)
    | admin_indi_has_compartments_for_file(admin,v,u) ),
    inference(mrr,[status(thm)],[112,46]),
    [iquote('0:MRR:112.1,46.0')] ).

cnf(125,plain,
    ( ~ admin_file_has_compartments(admin,u,nil)
    | ~ system_file_needs_level(system,u,v)
    | admin_file_has_level(admin,u,v) ),
    inference(res,[status(thm),theory(equality)],[52,79]),
    [iquote('0:Res:52.0,79.2')] ).

cnf(126,plain,
    ( ~ admin_file_has_compartments(admin,u,nil)
    | ~ system_file_needs_citizenship(system,u,v)
    | admin_file_has_citizenship(admin,u,v) ),
    inference(res,[status(thm),theory(equality)],[53,78]),
    [iquote('0:Res:53.0,78.2')] ).

cnf(127,plain,
    ( ~ admin_file_has_compartments(admin,u,nil)
    | ~ system_file_needs_level(system,u,v)
    | ~ admin_indi_has_level(admin,w,v)
    | admin_indi_has_level_for_file(admin,w,u) ),
    inference(res,[status(thm),theory(equality)],[125,69]),
    [iquote('0:Res:125.2,69.0')] ).

cnf(128,plain,
    ( ~ admin_file_has_compartments(admin,u,nil)
    | ~ system_file_needs_citizenship(system,u,v)
    | ~ admin_indi_has_citizenship(admin,w,v)
    | admin_indi_has_citizenship_for_file(admin,w,u) ),
    inference(res,[status(thm),theory(equality)],[126,70]),
    [iquote('0:Res:126.2,70.0')] ).

cnf(129,plain,
    ( ~ system_file_needs_compartments(system,u,nil)
    | ~ system_file_needs_level(system,u,v)
    | ~ admin_indi_has_level(admin,w,v)
    | admin_indi_has_level_for_file(admin,w,u) ),
    inference(res,[status(thm),theory(equality)],[111,127]),
    [iquote('0:Res:111.1,127.0')] ).

cnf(130,plain,
    ( ~ system_file_needs_compartments(system,u,nil)
    | ~ system_file_needs_citizenship(system,u,v)
    | ~ admin_indi_has_citizenship(admin,w,v)
    | admin_indi_has_citizenship_for_file(admin,w,u) ),
    inference(res,[status(thm),theory(equality)],[111,128]),
    [iquote('0:Res:111.1,128.0')] ).

cnf(133,plain,
    ( ~ system_file_needs_level(system,not_secretfile,u)
    | ~ admin_indi_has_level(admin,v,u)
    | admin_indi_has_level_for_file(admin,v,not_secretfile) ),
    inference(res,[status(thm),theory(equality)],[22,129]),
    [iquote('0:Res:22.0,129.0')] ).

cnf(134,plain,
    ( ~ admin_indi_has_level(admin,u,unclassified)
    | admin_indi_has_level_for_file(admin,u,not_secretfile) ),
    inference(res,[status(thm),theory(equality)],[23,133]),
    [iquote('0:Res:23.0,133.0')] ).

cnf(135,plain,
    admin_indi_has_level_for_file(admin,u,not_secretfile),
    inference(mrr,[status(thm)],[134,45]),
    [iquote('0:MRR:134.0,45.0')] ).

cnf(136,plain,
    ( ~ admin_indi_has_citizenship_for_file(admin,babu,not_secretfile)
    | ~ admin_indi_has_compartments_for_file(admin,babu,not_secretfile) ),
    inference(mrr,[status(thm)],[104,135]),
    [iquote('0:MRR:104.2,135.0')] ).

cnf(147,plain,
    ( ~ system_file_needs_citizenship(system,not_secretfile,u)
    | ~ admin_indi_has_citizenship(admin,v,u)
    | admin_indi_has_citizenship_for_file(admin,v,not_secretfile) ),
    inference(res,[status(thm),theory(equality)],[22,130]),
    [iquote('0:Res:22.0,130.0')] ).

cnf(152,plain,
    ( ~ admin_indi_has_citizenship(admin,u,anycountry)
    | admin_indi_has_citizenship_for_file(admin,u,not_secretfile) ),
    inference(res,[status(thm),theory(equality)],[24,147]),
    [iquote('0:Res:24.0,147.0')] ).

cnf(153,plain,
    admin_indi_has_citizenship_for_file(admin,u,not_secretfile),
    inference(mrr,[status(thm)],[152,44]),
    [iquote('0:MRR:152.0,44.0')] ).

cnf(154,plain,
    ~ admin_indi_has_compartments_for_file(admin,babu,not_secretfile),
    inference(mrr,[status(thm)],[136,153]),
    [iquote('0:MRR:136.0,153.0')] ).

cnf(159,plain,
    ~ system_file_needs_compartments(system,not_secretfile,nil),
    inference(res,[status(thm),theory(equality)],[113,154]),
    [iquote('0:Res:113.1,154.0')] ).

cnf(160,plain,
    $false,
    inference(mrr,[status(thm)],[159,22]),
    [iquote('0:MRR:159.0,22.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWV438+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.14  % Command  : run_spass %d %s
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Wed Jun 15 14:07:09 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  
% 0.21/0.48  SPASS V 3.9 
% 0.21/0.48  SPASS beiseite: Proof found.
% 0.21/0.48  % SZS status Theorem
% 0.21/0.48  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.21/0.48  SPASS derived 48 clauses, backtracked 0 clauses, performed 0 splits and kept 136 clauses.
% 0.21/0.48  SPASS allocated 97937 KBytes.
% 0.21/0.48  SPASS spent	0:00:00.12 on the problem.
% 0.21/0.48  		0:00:00.04 for the input.
% 0.21/0.48  		0:00:00.04 for the FLOTTER CNF translation.
% 0.21/0.48  		0:00:00.00 for inferences.
% 0.21/0.48  		0:00:00.00 for the backtracking.
% 0.21/0.48  		0:00:00.01 for the reduction.
% 0.21/0.48  
% 0.21/0.48  
% 0.21/0.48  Here is a proof with depth 5, length 45 :
% 0.21/0.48  % SZS output start Refutation
% See solution above
% 0.21/0.48  Formulae used in the proof : ax61 ax65 ax62 ax63 ax64 ax85 ax22 ax24 ax26 ax9 ax12 ax15 babureadnotsecret ax36 ax34 ax35 ax37 ax8 ax14 ax11 ax39
% 0.21/0.48  
%------------------------------------------------------------------------------