TSTP Solution File: PUZ004-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : PUZ004-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art03.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 15:09:59 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   32 (  14 unt;   0 def)
%            Number of atoms       :   50 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   43 (  25   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   11 (  10 usr;  11 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(dated_if_on_one_sheet,plain,
    ( ~ on_one_sheet
    | dated ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ004-1.tptp',unknown),
    [] ).

cnf(151127896,plain,
    ( ~ on_one_sheet
    | dated ),
    inference(rewrite,[status(thm)],[dated_if_on_one_sheet]),
    [] ).

fof(on_one_sheet_if_crossed,plain,
    ( on_one_sheet
    | ~ crossed ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ004-1.tptp',unknown),
    [] ).

cnf(151158360,plain,
    ( on_one_sheet
    | ~ crossed ),
    inference(rewrite,[status(thm)],[on_one_sheet_if_crossed]),
    [] ).

fof(not_crossed_in_black_ink,plain,
    ( crossed
    | in_black_ink ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ004-1.tptp',unknown),
    [] ).

cnf(151138448,plain,
    ( crossed
    | in_black_ink ),
    inference(rewrite,[status(thm)],[not_crossed_in_black_ink]),
    [] ).

fof(black_ink_in_third_person,plain,
    ( in_third_person
    | ~ in_black_ink ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ004-1.tptp',unknown),
    [] ).

cnf(151114960,plain,
    ( in_third_person
    | ~ in_black_ink ),
    inference(rewrite,[status(thm)],[black_ink_in_third_person]),
    [] ).

fof(no_dear_sirs_in_third_person,plain,
    ( ~ begins_with_dear_sir
    | ~ in_third_person ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ004-1.tptp',unknown),
    [] ).

cnf(151097488,plain,
    ( ~ begins_with_dear_sir
    | ~ in_third_person ),
    inference(rewrite,[status(thm)],[no_dear_sirs_in_third_person]),
    [] ).

fof(brown_starts_with_sir,plain,
    ( ~ by_brown
    | begins_with_dear_sir ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ004-1.tptp',unknown),
    [] ).

cnf(151145048,plain,
    ( ~ by_brown
    | begins_with_dear_sir ),
    inference(rewrite,[status(thm)],[brown_starts_with_sir]),
    [] ).

fof(letter_by_brown,plain,
    by_brown,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ004-1.tptp',unknown),
    [] ).

cnf(151174032,plain,
    by_brown,
    inference(rewrite,[status(thm)],[letter_by_brown]),
    [] ).

cnf(159008368,plain,
    begins_with_dear_sir,
    inference(resolution,[status(thm)],[151145048,151174032]),
    [] ).

cnf(159018712,plain,
    ~ in_third_person,
    inference(resolution,[status(thm)],[151097488,159008368]),
    [] ).

cnf(159028984,plain,
    ~ in_black_ink,
    inference(resolution,[status(thm)],[151114960,159018712]),
    [] ).

cnf(159038368,plain,
    crossed,
    inference(resolution,[status(thm)],[151138448,159028984]),
    [] ).

cnf(159047152,plain,
    on_one_sheet,
    inference(resolution,[status(thm)],[151158360,159038368]),
    [] ).

cnf(159052640,plain,
    dated,
    inference(resolution,[status(thm)],[151127896,159047152]),
    [] ).

fof(dated_on_blue_paper,plain,
    ( ~ dated
    | on_blue_paper ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ004-1.tptp',unknown),
    [] ).

cnf(151101536,plain,
    ( ~ dated
    | on_blue_paper ),
    inference(rewrite,[status(thm)],[dated_on_blue_paper]),
    [] ).

fof(filed_if_on_blue_paper,plain,
    ( ~ on_blue_paper
    | filed ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ004-1.tptp',unknown),
    [] ).

cnf(151151824,plain,
    ( ~ on_blue_paper
    | filed ),
    inference(rewrite,[status(thm)],[filed_if_on_blue_paper]),
    [] ).

fof(not_filed_if_read,plain,
    ( ~ can_be_read
    | ~ filed ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ004-1.tptp',unknown),
    [] ).

cnf(151121168,plain,
    ( ~ can_be_read
    | ~ filed ),
    inference(rewrite,[status(thm)],[not_filed_if_read]),
    [] ).

fof(prove_it_cannot_be_read,plain,
    can_be_read,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ004-1.tptp',unknown),
    [] ).

cnf(151179056,plain,
    can_be_read,
    inference(rewrite,[status(thm)],[prove_it_cannot_be_read]),
    [] ).

cnf(159014008,plain,
    ~ filed,
    inference(resolution,[status(thm)],[151121168,151179056]),
    [] ).

cnf(159023464,plain,
    ~ on_blue_paper,
    inference(resolution,[status(thm)],[151151824,159014008]),
    [] ).

cnf(159033736,plain,
    ~ dated,
    inference(resolution,[status(thm)],[151101536,159023464]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[159052640,159033736]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(dated_if_on_one_sheet,plain,(~on_one_sheet|dated),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ004-1.tptp',unknown),[]).
% 
% cnf(151127896,plain,(~on_one_sheet|dated),inference(rewrite,[status(thm)],[dated_if_on_one_sheet]),[]).
% 
% fof(on_one_sheet_if_crossed,plain,(on_one_sheet|~crossed),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ004-1.tptp',unknown),[]).
% 
% cnf(151158360,plain,(on_one_sheet|~crossed),inference(rewrite,[status(thm)],[on_one_sheet_if_crossed]),[]).
% 
% fof(not_crossed_in_black_ink,plain,(crossed|in_black_ink),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ004-1.tptp',unknown),[]).
% 
% cnf(151138448,plain,(crossed|in_black_ink),inference(rewrite,[status(thm)],[not_crossed_in_black_ink]),[]).
% 
% fof(black_ink_in_third_person,plain,(in_third_person|~in_black_ink),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ004-1.tptp',unknown),[]).
% 
% cnf(151114960,plain,(in_third_person|~in_black_ink),inference(rewrite,[status(thm)],[black_ink_in_third_person]),[]).
% 
% fof(no_dear_sirs_in_third_person,plain,(~begins_with_dear_sir|~in_third_person),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ004-1.tptp',unknown),[]).
% 
% cnf(151097488,plain,(~begins_with_dear_sir|~in_third_person),inference(rewrite,[status(thm)],[no_dear_sirs_in_third_person]),[]).
% 
% fof(brown_starts_with_sir,plain,(~by_brown|begins_with_dear_sir),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ004-1.tptp',unknown),[]).
% 
% cnf(151145048,plain,(~by_brown|begins_with_dear_sir),inference(rewrite,[status(thm)],[brown_starts_with_sir]),[]).
% 
% fof(letter_by_brown,plain,(by_brown),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ004-1.tptp',unknown),[]).
% 
% cnf(151174032,plain,(by_brown),inference(rewrite,[status(thm)],[letter_by_brown]),[]).
% 
% cnf(159008368,plain,(begins_with_dear_sir),inference(resolution,[status(thm)],[151145048,151174032]),[]).
% 
% cnf(159018712,plain,(~in_third_person),inference(resolution,[status(thm)],[151097488,159008368]),[]).
% 
% cnf(159028984,plain,(~in_black_ink),inference(resolution,[status(thm)],[151114960,159018712]),[]).
% 
% cnf(159038368,plain,(crossed),inference(resolution,[status(thm)],[151138448,159028984]),[]).
% 
% cnf(159047152,plain,(on_one_sheet),inference(resolution,[status(thm)],[151158360,159038368]),[]).
% 
% cnf(159052640,plain,(dated),inference(resolution,[status(thm)],[151127896,159047152]),[]).
% 
% fof(dated_on_blue_paper,plain,(~dated|on_blue_paper),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ004-1.tptp',unknown),[]).
% 
% cnf(151101536,plain,(~dated|on_blue_paper),inference(rewrite,[status(thm)],[dated_on_blue_paper]),[]).
% 
% fof(filed_if_on_blue_paper,plain,(~on_blue_paper|filed),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ004-1.tptp',unknown),[]).
% 
% cnf(151151824,plain,(~on_blue_paper|filed),inference(rewrite,[status(thm)],[filed_if_on_blue_paper]),[]).
% 
% fof(not_filed_if_read,plain,(~can_be_read|~filed),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ004-1.tptp',unknown),[]).
% 
% cnf(151121168,plain,(~can_be_read|~filed),inference(rewrite,[status(thm)],[not_filed_if_read]),[]).
% 
% fof(prove_it_cannot_be_read,plain,(can_be_read),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ004-1.tptp',unknown),[]).
% 
% cnf(151179056,plain,(can_be_read),inference(rewrite,[status(thm)],[prove_it_cannot_be_read]),[]).
% 
% cnf(159014008,plain,(~filed),inference(resolution,[status(thm)],[151121168,151179056]),[]).
% 
% cnf(159023464,plain,(~on_blue_paper),inference(resolution,[status(thm)],[151151824,159014008]),[]).
% 
% cnf(159033736,plain,(~dated),inference(resolution,[status(thm)],[151101536,159023464]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[159052640,159033736]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------