TSTP Solution File: PUZ009-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : PUZ009-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.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 15:10:19 EDT 2009
% Result : Unsatisfiable 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 14 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 6 ( 5 usr; 6 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(c17,plain,
( a_is_a_knight
| ~ c_is_a_knight ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ009-1.tptp',unknown),
[] ).
cnf(166337128,plain,
( a_is_a_knight
| ~ c_is_a_knight ),
inference(rewrite,[status(thm)],[c17]),
[] ).
fof(c1,plain,
( ~ a_is_a_knight
| ~ b_is_a_knight ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ009-1.tptp',unknown),
[] ).
cnf(166256784,plain,
( ~ a_is_a_knight
| ~ b_is_a_knight ),
inference(rewrite,[status(thm)],[c1]),
[] ).
fof(c18,plain,
b_is_a_knight,
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ009-1.tptp',unknown),
[] ).
cnf(166340880,plain,
b_is_a_knight,
inference(rewrite,[status(thm)],[c18]),
[] ).
cnf(174121384,plain,
~ a_is_a_knight,
inference(resolution,[status(thm)],[166256784,166340880]),
[] ).
cnf(174138920,plain,
~ c_is_a_knight,
inference(resolution,[status(thm)],[166337128,174121384]),
[] ).
fof(c5,plain,
( ~ b_is_a_knight
| c_is_a_knight
| d_is_a_knight ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ009-1.tptp',unknown),
[] ).
cnf(166275984,plain,
( ~ b_is_a_knight
| c_is_a_knight
| d_is_a_knight ),
inference(rewrite,[status(thm)],[c5]),
[] ).
cnf(174128272,plain,
( c_is_a_knight
| d_is_a_knight ),
inference(resolution,[status(thm)],[166275984,166340880]),
[] ).
fof(c10,plain,
( ~ e_is_a_knight
| ~ d_is_a_knight
| c_is_a_knight ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ009-1.tptp',unknown),
[] ).
cnf(166296864,plain,
( ~ e_is_a_knight
| ~ d_is_a_knight
| c_is_a_knight ),
inference(rewrite,[status(thm)],[c10]),
[] ).
fof(c16,plain,
( a_is_a_knight
| e_is_a_knight ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ009-1.tptp',unknown),
[] ).
cnf(166332552,plain,
( a_is_a_knight
| e_is_a_knight ),
inference(rewrite,[status(thm)],[c16]),
[] ).
cnf(174133552,plain,
e_is_a_knight,
inference(resolution,[status(thm)],[166332552,174121384]),
[] ).
cnf(174143488,plain,
c_is_a_knight,
inference(forward_subsumption_resolution__resolution,[status(thm)],[174128272,166296864,174133552]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[174138920,174143488]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(c17,plain,(a_is_a_knight|~c_is_a_knight),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ009-1.tptp',unknown),[]).
%
% cnf(166337128,plain,(a_is_a_knight|~c_is_a_knight),inference(rewrite,[status(thm)],[c17]),[]).
%
% fof(c1,plain,(~a_is_a_knight|~b_is_a_knight),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ009-1.tptp',unknown),[]).
%
% cnf(166256784,plain,(~a_is_a_knight|~b_is_a_knight),inference(rewrite,[status(thm)],[c1]),[]).
%
% fof(c18,plain,(b_is_a_knight),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ009-1.tptp',unknown),[]).
%
% cnf(166340880,plain,(b_is_a_knight),inference(rewrite,[status(thm)],[c18]),[]).
%
% cnf(174121384,plain,(~a_is_a_knight),inference(resolution,[status(thm)],[166256784,166340880]),[]).
%
% cnf(174138920,plain,(~c_is_a_knight),inference(resolution,[status(thm)],[166337128,174121384]),[]).
%
% fof(c5,plain,(~b_is_a_knight|c_is_a_knight|d_is_a_knight),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ009-1.tptp',unknown),[]).
%
% cnf(166275984,plain,(~b_is_a_knight|c_is_a_knight|d_is_a_knight),inference(rewrite,[status(thm)],[c5]),[]).
%
% cnf(174128272,plain,(c_is_a_knight|d_is_a_knight),inference(resolution,[status(thm)],[166275984,166340880]),[]).
%
% fof(c10,plain,(~e_is_a_knight|~d_is_a_knight|c_is_a_knight),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ009-1.tptp',unknown),[]).
%
% cnf(166296864,plain,(~e_is_a_knight|~d_is_a_knight|c_is_a_knight),inference(rewrite,[status(thm)],[c10]),[]).
%
% fof(c16,plain,(a_is_a_knight|e_is_a_knight),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ009-1.tptp',unknown),[]).
%
% cnf(166332552,plain,(a_is_a_knight|e_is_a_knight),inference(rewrite,[status(thm)],[c16]),[]).
%
% cnf(174133552,plain,(e_is_a_knight),inference(resolution,[status(thm)],[166332552,174121384]),[]).
%
% cnf(174143488,plain,(c_is_a_knight),inference(forward_subsumption_resolution__resolution,[status(thm)],[174128272,166296864,174133552]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[174138920,174143488]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------