TSTP Solution File: PUZ035-5 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : PUZ035-5 : TPTP v3.4.2. Released v2.0.0.
% 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 15:12:20 EDT 2009

% Result   : Unsatisfiable 0.3s
% Output   : Refutation 0.3s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   4 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   21 (  11   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   11 (   5 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(query,plain,
    ! [A,B] :
      ( ~ truth(isa(asked,A))
      | ~ truth(isa(other,B)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-5.tptp',unknown),
    [] ).

cnf(153150608,plain,
    ( ~ truth(isa(asked,A))
    | ~ truth(isa(other,B)) ),
    inference(rewrite,[status(thm)],[query]),
    [] ).

fof(everyone_a_knight_or_knave,plain,
    ! [A] :
      ( truth(isa(A,knight))
      | truth(isa(A,knave)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-5.tptp',unknown),
    [] ).

cnf(153086928,plain,
    ( truth(isa(A,knight))
    | truth(isa(A,knave)) ),
    inference(rewrite,[status(thm)],[everyone_a_knight_or_knave]),
    [] ).

cnf(161758936,plain,
    ( ~ truth(isa(other,A))
    | truth(isa(asked,knight)) ),
    inference(resolution,[status(thm)],[153150608,153086928]),
    [] ).

cnf(163612144,plain,
    ( truth(isa(asked,knight))
    | truth(isa(other,knave)) ),
    inference(resolution,[status(thm)],[161758936,153086928]),
    [] ).

cnf(161750848,plain,
    ( ~ truth(isa(other,A))
    | truth(isa(asked,knave)) ),
    inference(resolution,[status(thm)],[153150608,153086928]),
    [] ).

cnf(163426224,plain,
    ( truth(isa(asked,knave))
    | truth(isa(other,knave)) ),
    inference(resolution,[status(thm)],[161750848,153086928]),
    [] ).

fof(not_both_a_knight_and_knave,plain,
    ! [A] :
      ( ~ truth(isa(A,knight))
      | ~ truth(isa(A,knave)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-5.tptp',unknown),
    [] ).

cnf(153093720,plain,
    ( ~ truth(isa(A,knight))
    | ~ truth(isa(A,knave)) ),
    inference(rewrite,[status(thm)],[not_both_a_knight_and_knave]),
    [] ).

cnf(165208832,plain,
    truth(isa(other,knave)),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163612144,163426224,153093720]),
    [] ).

cnf(165339432,plain,
    ~ truth(isa(asked,A)),
    inference(resolution,[status(thm)],[165208832,153150608]),
    [] ).

cnf(165288528,plain,
    truth(isa(asked,knave)),
    inference(resolution,[status(thm)],[163426224,161750848]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[165339432,165288528]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(query,plain,(~truth(isa(asked,A))|~truth(isa(other,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-5.tptp',unknown),[]).
% 
% cnf(153150608,plain,(~truth(isa(asked,A))|~truth(isa(other,B))),inference(rewrite,[status(thm)],[query]),[]).
% 
% fof(everyone_a_knight_or_knave,plain,(truth(isa(A,knight))|truth(isa(A,knave))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-5.tptp',unknown),[]).
% 
% cnf(153086928,plain,(truth(isa(A,knight))|truth(isa(A,knave))),inference(rewrite,[status(thm)],[everyone_a_knight_or_knave]),[]).
% 
% cnf(161758936,plain,(~truth(isa(other,A))|truth(isa(asked,knight))),inference(resolution,[status(thm)],[153150608,153086928]),[]).
% 
% cnf(163612144,plain,(truth(isa(asked,knight))|truth(isa(other,knave))),inference(resolution,[status(thm)],[161758936,153086928]),[]).
% 
% cnf(161750848,plain,(~truth(isa(other,A))|truth(isa(asked,knave))),inference(resolution,[status(thm)],[153150608,153086928]),[]).
% 
% cnf(163426224,plain,(truth(isa(asked,knave))|truth(isa(other,knave))),inference(resolution,[status(thm)],[161750848,153086928]),[]).
% 
% fof(not_both_a_knight_and_knave,plain,(~truth(isa(A,knight))|~truth(isa(A,knave))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-5.tptp',unknown),[]).
% 
% cnf(153093720,plain,(~truth(isa(A,knight))|~truth(isa(A,knave))),inference(rewrite,[status(thm)],[not_both_a_knight_and_knave]),[]).
% 
% cnf(165208832,plain,(truth(isa(other,knave))),inference(forward_subsumption_resolution__resolution,[status(thm)],[163612144,163426224,153093720]),[]).
% 
% cnf(165339432,plain,(~truth(isa(asked,A))),inference(resolution,[status(thm)],[165208832,153150608]),[]).
% 
% cnf(165288528,plain,(truth(isa(asked,knave))),inference(resolution,[status(thm)],[163426224,161750848]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[165339432,165288528]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------