TSTP Solution File: PUZ047-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : PUZ047-1 : TPTP v3.4.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.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 15:12:44 EDT 2009
% Result : Unsatisfiable 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 12 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 29 ( 17 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-5 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 25 ( 4 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(thm100_12,plain,
! [A] :
( p(north,north,south,north,take_cabbage(A))
| ~ p(south,north,south,south,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ047-1.tptp',unknown),
[] ).
cnf(165790216,plain,
( p(north,north,south,north,take_cabbage(A))
| ~ p(south,north,south,south,A) ),
inference(rewrite,[status(thm)],[thm100_12]),
[] ).
fof(thm100_3,plain,
! [A] :
( p(south,north,south,north,go_alone(A))
| ~ p(north,north,south,north,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ047-1.tptp',unknown),
[] ).
cnf(165732584,plain,
( p(south,north,south,north,go_alone(A))
| ~ p(north,north,south,north,A) ),
inference(rewrite,[status(thm)],[thm100_3]),
[] ).
fof(thm100_10,plain,
! [A,B,C] :
( p(north,A,north,B,take_goat(C))
| ~ p(south,A,south,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ047-1.tptp',unknown),
[] ).
cnf(165774976,plain,
( p(north,A,north,B,take_goat(C))
| ~ p(south,A,south,B,C) ),
inference(rewrite,[status(thm)],[thm100_10]),
[] ).
fof(thm100_16,plain,
! [A] : ~ p(north,north,north,north,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ047-1.tptp',unknown),
[] ).
cnf(165815208,plain,
~ p(north,north,north,north,A),
inference(rewrite,[status(thm)],[thm100_16]),
[] ).
cnf(212981880,plain,
~ p(south,north,south,north,A),
inference(resolution,[status(thm)],[165774976,165815208]),
[] ).
cnf(212993712,plain,
~ p(north,north,south,north,A),
inference(resolution,[status(thm)],[165732584,212981880]),
[] ).
cnf(214019672,plain,
~ p(south,north,south,south,A),
inference(resolution,[status(thm)],[165790216,212993712]),
[] ).
fof(thm100_11,plain,
! [A,B,C] :
( p(south,A,south,B,take_goat(C))
| ~ p(north,A,north,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ047-1.tptp',unknown),
[] ).
cnf(165784912,plain,
( p(south,A,south,B,take_goat(C))
| ~ p(north,A,north,B,C) ),
inference(rewrite,[status(thm)],[thm100_11]),
[] ).
fof(thm100_1,plain,
p(south,south,south,south,start),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ047-1.tptp',unknown),
[] ).
cnf(165720856,plain,
p(south,south,south,south,start),
inference(rewrite,[status(thm)],[thm100_1]),
[] ).
cnf(212965896,plain,
p(north,south,north,south,take_goat(start)),
inference(resolution,[status(thm)],[165774976,165720856]),
[] ).
fof(thm100_5,plain,
! [A] :
( p(south,south,north,south,go_alone(A))
| ~ p(north,south,north,south,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ047-1.tptp',unknown),
[] ).
cnf(165747712,plain,
( p(south,south,north,south,go_alone(A))
| ~ p(north,south,north,south,A) ),
inference(rewrite,[status(thm)],[thm100_5]),
[] ).
cnf(213192472,plain,
p(south,south,north,south,go_alone(take_goat(start))),
inference(resolution,[status(thm)],[212965896,165747712]),
[] ).
fof(thm100_8,plain,
! [A] :
( p(north,north,north,south,take_wolf(A))
| ~ p(south,south,north,south,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ047-1.tptp',unknown),
[] ).
cnf(165764232,plain,
( p(north,north,north,south,take_wolf(A))
| ~ p(south,south,north,south,A) ),
inference(rewrite,[status(thm)],[thm100_8]),
[] ).
cnf(213227008,plain,
p(north,north,north,south,take_wolf(go_alone(take_goat(start)))),
inference(resolution,[status(thm)],[213192472,165764232]),
[] ).
cnf(213492072,plain,
p(south,north,south,south,take_goat(take_wolf(go_alone(take_goat(start))))),
inference(resolution,[status(thm)],[165784912,213227008]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[214019672,213492072]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(thm100_12,plain,(p(north,north,south,north,take_cabbage(A))|~p(south,north,south,south,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ047-1.tptp',unknown),[]).
%
% cnf(165790216,plain,(p(north,north,south,north,take_cabbage(A))|~p(south,north,south,south,A)),inference(rewrite,[status(thm)],[thm100_12]),[]).
%
% fof(thm100_3,plain,(p(south,north,south,north,go_alone(A))|~p(north,north,south,north,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ047-1.tptp',unknown),[]).
%
% cnf(165732584,plain,(p(south,north,south,north,go_alone(A))|~p(north,north,south,north,A)),inference(rewrite,[status(thm)],[thm100_3]),[]).
%
% fof(thm100_10,plain,(p(north,A,north,B,take_goat(C))|~p(south,A,south,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ047-1.tptp',unknown),[]).
%
% cnf(165774976,plain,(p(north,A,north,B,take_goat(C))|~p(south,A,south,B,C)),inference(rewrite,[status(thm)],[thm100_10]),[]).
%
% fof(thm100_16,plain,(~p(north,north,north,north,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ047-1.tptp',unknown),[]).
%
% cnf(165815208,plain,(~p(north,north,north,north,A)),inference(rewrite,[status(thm)],[thm100_16]),[]).
%
% cnf(212981880,plain,(~p(south,north,south,north,A)),inference(resolution,[status(thm)],[165774976,165815208]),[]).
%
% cnf(212993712,plain,(~p(north,north,south,north,A)),inference(resolution,[status(thm)],[165732584,212981880]),[]).
%
% cnf(214019672,plain,(~p(south,north,south,south,A)),inference(resolution,[status(thm)],[165790216,212993712]),[]).
%
% fof(thm100_11,plain,(p(south,A,south,B,take_goat(C))|~p(north,A,north,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ047-1.tptp',unknown),[]).
%
% cnf(165784912,plain,(p(south,A,south,B,take_goat(C))|~p(north,A,north,B,C)),inference(rewrite,[status(thm)],[thm100_11]),[]).
%
% fof(thm100_1,plain,(p(south,south,south,south,start)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ047-1.tptp',unknown),[]).
%
% cnf(165720856,plain,(p(south,south,south,south,start)),inference(rewrite,[status(thm)],[thm100_1]),[]).
%
% cnf(212965896,plain,(p(north,south,north,south,take_goat(start))),inference(resolution,[status(thm)],[165774976,165720856]),[]).
%
% fof(thm100_5,plain,(p(south,south,north,south,go_alone(A))|~p(north,south,north,south,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ047-1.tptp',unknown),[]).
%
% cnf(165747712,plain,(p(south,south,north,south,go_alone(A))|~p(north,south,north,south,A)),inference(rewrite,[status(thm)],[thm100_5]),[]).
%
% cnf(213192472,plain,(p(south,south,north,south,go_alone(take_goat(start)))),inference(resolution,[status(thm)],[212965896,165747712]),[]).
%
% fof(thm100_8,plain,(p(north,north,north,south,take_wolf(A))|~p(south,south,north,south,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ047-1.tptp',unknown),[]).
%
% cnf(165764232,plain,(p(north,north,north,south,take_wolf(A))|~p(south,south,north,south,A)),inference(rewrite,[status(thm)],[thm100_8]),[]).
%
% cnf(213227008,plain,(p(north,north,north,south,take_wolf(go_alone(take_goat(start))))),inference(resolution,[status(thm)],[213192472,165764232]),[]).
%
% cnf(213492072,plain,(p(south,north,south,south,take_goat(take_wolf(go_alone(take_goat(start)))))),inference(resolution,[status(thm)],[165784912,213227008]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[214019672,213492072]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------