TSTP Solution File: PUZ020-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : PUZ020-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art08.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 15:11:15 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   7 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   7   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    2 (   0 sgn   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(knight_wife_means_truthful_husband,plain,
    ( ~ knight(wife)
    | a_truth(statement_by(husband)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ020-1.tptp',unknown),
    [] ).

fof(knight_wife_or_truthful_husband,plain,
    ( a_truth(statement_by(husband))
    | knight(wife) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ020-1.tptp',unknown),
    [] ).

cnf(152128848,plain,
    ( a_truth(statement_by(husband))
    | knight(wife) ),
    inference(rewrite,[status(thm)],[knight_wife_or_truthful_husband]),
    [] ).

cnf(152132720,plain,
    a_truth(statement_by(husband)),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[knight_wife_means_truthful_husband,152128848]),
    [] ).

fof(knights_make_true_statements,plain,
    ! [A] :
      ( ~ person(A)
      | ~ a_truth(statement_by(A))
      | knight(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ020-1.tptp',unknown),
    [] ).

cnf(152048616,plain,
    ( ~ person(A)
    | ~ a_truth(statement_by(A))
    | knight(A) ),
    inference(rewrite,[status(thm)],[knights_make_true_statements]),
    [] ).

fof(husband,plain,
    person(husband),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ020-1.tptp',unknown),
    [] ).

cnf(152091800,plain,
    person(husband),
    inference(rewrite,[status(thm)],[husband]),
    [] ).

cnf(159967104,plain,
    knight(husband),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[152132720,152048616,152091800]),
    [] ).

fof(prove_knight_husband,plain,
    ~ knight(husband),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ020-1.tptp',unknown),
    [] ).

cnf(151997440,plain,
    ~ knight(husband),
    inference(rewrite,[status(thm)],[prove_knight_husband]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[159967104,151997440]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(knight_wife_means_truthful_husband,plain,(~knight(wife)|a_truth(statement_by(husband))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ020-1.tptp',unknown),[]).
% 
% fof(knight_wife_or_truthful_husband,plain,(a_truth(statement_by(husband))|knight(wife)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ020-1.tptp',unknown),[]).
% 
% cnf(152128848,plain,(a_truth(statement_by(husband))|knight(wife)),inference(rewrite,[status(thm)],[knight_wife_or_truthful_husband]),[]).
% 
% cnf(152132720,plain,(a_truth(statement_by(husband))),inference(rewrite__forward_subsumption_resolution,[status(thm)],[knight_wife_means_truthful_husband,152128848]),[]).
% 
% fof(knights_make_true_statements,plain,(~person(A)|~a_truth(statement_by(A))|knight(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ020-1.tptp',unknown),[]).
% 
% cnf(152048616,plain,(~person(A)|~a_truth(statement_by(A))|knight(A)),inference(rewrite,[status(thm)],[knights_make_true_statements]),[]).
% 
% fof(husband,plain,(person(husband)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ020-1.tptp',unknown),[]).
% 
% cnf(152091800,plain,(person(husband)),inference(rewrite,[status(thm)],[husband]),[]).
% 
% cnf(159967104,plain,(knight(husband)),inference(forward_subsumption_resolution__resolution,[status(thm)],[152132720,152048616,152091800]),[]).
% 
% fof(prove_knight_husband,plain,(~knight(husband)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ020-1.tptp',unknown),[]).
% 
% cnf(151997440,plain,(~knight(husband)),inference(rewrite,[status(thm)],[prove_knight_husband]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[159967104,151997440]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------