TSTP Solution File: PUZ023-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : PUZ023-1 : 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 15:11:21 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 6 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 48 ( 25 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 4 ( 1 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(b_and_c_liars,plain,
( ~ a_truth(liar(b))
| ~ a_truth(liar(c))
| an_answer(b_and_c_liars) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ023-1.tptp',unknown),
[] ).
cnf(152181592,plain,
( ~ a_truth(liar(b))
| ~ a_truth(liar(c))
| an_answer(b_and_c_liars) ),
inference(rewrite,[status(thm)],[b_and_c_liars]),
[] ).
fof(prove_there_is_an_answer,plain,
! [A] : ~ an_answer(A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ023-1.tptp',unknown),
[] ).
cnf(152334600,plain,
~ an_answer(A),
inference(rewrite,[status(thm)],[prove_there_is_an_answer]),
[] ).
cnf(160146056,plain,
( ~ a_truth(liar(b))
| ~ a_truth(liar(c)) ),
inference(resolution,[status(thm)],[152181592,152334600]),
[] ).
fof(truthteller_or_liar,plain,
! [A] :
( a_truth(truthteller(A))
| a_truth(liar(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ023-1.tptp',unknown),
[] ).
cnf(152186328,plain,
( a_truth(truthteller(A))
| a_truth(liar(A)) ),
inference(rewrite,[status(thm)],[truthteller_or_liar]),
[] ).
cnf(160331848,plain,
( ~ a_truth(liar(c))
| a_truth(truthteller(b)) ),
inference(resolution,[status(thm)],[160146056,152186328]),
[] ).
cnf(160349056,plain,
( a_truth(truthteller(b))
| a_truth(truthteller(c)) ),
inference(resolution,[status(thm)],[160331848,152186328]),
[] ).
fof(b_truthteller_and_c_liar,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(liar(c))
| an_answer(b_truthteller_and_c_liar) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ023-1.tptp',unknown),
[] ).
cnf(152320208,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(liar(c))
| an_answer(b_truthteller_and_c_liar) ),
inference(rewrite,[status(thm)],[b_truthteller_and_c_liar]),
[] ).
cnf(160163320,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(liar(c)) ),
inference(resolution,[status(thm)],[152320208,152334600]),
[] ).
cnf(160372072,plain,
a_truth(truthteller(c)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[160349056,160163320,152186328]),
[] ).
fof(b_and_c_truthtellers,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(c))
| an_answer(b_and_c_truthtellers) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ023-1.tptp',unknown),
[] ).
cnf(152329944,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(c))
| an_answer(b_and_c_truthtellers) ),
inference(rewrite,[status(thm)],[b_and_c_truthtellers]),
[] ).
cnf(160167528,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(c)) ),
inference(resolution,[status(thm)],[152329944,152334600]),
[] ).
cnf(160415232,plain,
a_truth(liar(b)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[160372072,160167528,152186328]),
[] ).
fof(b_liar_and_c_truthteller,plain,
( ~ a_truth(liar(b))
| ~ a_truth(truthteller(c))
| an_answer(b_liar_and_c_truthteller) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ023-1.tptp',unknown),
[] ).
cnf(152312824,plain,
( ~ a_truth(liar(b))
| ~ a_truth(truthteller(c))
| an_answer(b_liar_and_c_truthteller) ),
inference(rewrite,[status(thm)],[b_liar_and_c_truthteller]),
[] ).
cnf(161238464,plain,
an_answer(b_liar_and_c_truthteller),
inference(forward_subsumption_resolution__resolution,[status(thm)],[160415232,152312824,160372072]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[161238464,152334600]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(b_and_c_liars,plain,(~a_truth(liar(b))|~a_truth(liar(c))|an_answer(b_and_c_liars)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ023-1.tptp',unknown),[]).
%
% cnf(152181592,plain,(~a_truth(liar(b))|~a_truth(liar(c))|an_answer(b_and_c_liars)),inference(rewrite,[status(thm)],[b_and_c_liars]),[]).
%
% fof(prove_there_is_an_answer,plain,(~an_answer(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ023-1.tptp',unknown),[]).
%
% cnf(152334600,plain,(~an_answer(A)),inference(rewrite,[status(thm)],[prove_there_is_an_answer]),[]).
%
% cnf(160146056,plain,(~a_truth(liar(b))|~a_truth(liar(c))),inference(resolution,[status(thm)],[152181592,152334600]),[]).
%
% fof(truthteller_or_liar,plain,(a_truth(truthteller(A))|a_truth(liar(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ023-1.tptp',unknown),[]).
%
% cnf(152186328,plain,(a_truth(truthteller(A))|a_truth(liar(A))),inference(rewrite,[status(thm)],[truthteller_or_liar]),[]).
%
% cnf(160331848,plain,(~a_truth(liar(c))|a_truth(truthteller(b))),inference(resolution,[status(thm)],[160146056,152186328]),[]).
%
% cnf(160349056,plain,(a_truth(truthteller(b))|a_truth(truthteller(c))),inference(resolution,[status(thm)],[160331848,152186328]),[]).
%
% fof(b_truthteller_and_c_liar,plain,(~a_truth(truthteller(b))|~a_truth(liar(c))|an_answer(b_truthteller_and_c_liar)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ023-1.tptp',unknown),[]).
%
% cnf(152320208,plain,(~a_truth(truthteller(b))|~a_truth(liar(c))|an_answer(b_truthteller_and_c_liar)),inference(rewrite,[status(thm)],[b_truthteller_and_c_liar]),[]).
%
% cnf(160163320,plain,(~a_truth(truthteller(b))|~a_truth(liar(c))),inference(resolution,[status(thm)],[152320208,152334600]),[]).
%
% cnf(160372072,plain,(a_truth(truthteller(c))),inference(forward_subsumption_resolution__resolution,[status(thm)],[160349056,160163320,152186328]),[]).
%
% fof(b_and_c_truthtellers,plain,(~a_truth(truthteller(b))|~a_truth(truthteller(c))|an_answer(b_and_c_truthtellers)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ023-1.tptp',unknown),[]).
%
% cnf(152329944,plain,(~a_truth(truthteller(b))|~a_truth(truthteller(c))|an_answer(b_and_c_truthtellers)),inference(rewrite,[status(thm)],[b_and_c_truthtellers]),[]).
%
% cnf(160167528,plain,(~a_truth(truthteller(b))|~a_truth(truthteller(c))),inference(resolution,[status(thm)],[152329944,152334600]),[]).
%
% cnf(160415232,plain,(a_truth(liar(b))),inference(forward_subsumption_resolution__resolution,[status(thm)],[160372072,160167528,152186328]),[]).
%
% fof(b_liar_and_c_truthteller,plain,(~a_truth(liar(b))|~a_truth(truthteller(c))|an_answer(b_liar_and_c_truthteller)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ023-1.tptp',unknown),[]).
%
% cnf(152312824,plain,(~a_truth(liar(b))|~a_truth(truthteller(c))|an_answer(b_liar_and_c_truthteller)),inference(rewrite,[status(thm)],[b_liar_and_c_truthteller]),[]).
%
% cnf(161238464,plain,(an_answer(b_liar_and_c_truthteller)),inference(forward_subsumption_resolution__resolution,[status(thm)],[160415232,152312824,160372072]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[161238464,152334600]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------