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