TSTP Solution File: PUZ025-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : PUZ025-1 : 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 15:11:27 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 63 ( 31 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 3 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(liar_supports_lies,plain,
! [A,B] :
( ~ ask_1_if_2(A,B)
| ~ a_truth(liar(A))
| a_truth(B)
| answer(yes) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ025-1.tptp',unknown),
[] ).
cnf(155589432,plain,
( ~ ask_1_if_2(A,B)
| ~ a_truth(liar(A))
| a_truth(B)
| answer(yes) ),
inference(rewrite,[status(thm)],[liar_supports_lies]),
[] ).
fof(prove_there_is_an_answer,plain,
! [A] : ~ answer(A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ025-1.tptp',unknown),
[] ).
cnf(155623352,plain,
~ answer(A),
inference(rewrite,[status(thm)],[prove_there_is_an_answer]),
[] ).
cnf(163447672,plain,
( ~ ask_1_if_2(A,B)
| ~ a_truth(liar(A))
| a_truth(B) ),
inference(resolution,[status(thm)],[155589432,155623352]),
[] ).
fof(liar_denies_truths,plain,
! [A,B] :
( ~ ask_1_if_2(A,B)
| ~ a_truth(liar(A))
| ~ a_truth(B)
| answer(no) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ025-1.tptp',unknown),
[] ).
cnf(155583120,plain,
( ~ ask_1_if_2(A,B)
| ~ a_truth(liar(A))
| ~ a_truth(B)
| answer(no) ),
inference(rewrite,[status(thm)],[liar_denies_truths]),
[] ).
cnf(163456928,plain,
( ~ ask_1_if_2(A,B)
| ~ a_truth(liar(A)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[163447672,155583120,155623352]),
[] ).
fof(ask_c_if_a_and_b_equal,plain,
ask_1_if_2(c,equal_type(a,b)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ025-1.tptp',unknown),
[] ).
cnf(155618440,plain,
ask_1_if_2(c,equal_type(a,b)),
inference(rewrite,[status(thm)],[ask_c_if_a_and_b_equal]),
[] ).
cnf(163772896,plain,
~ a_truth(liar(c)),
inference(resolution,[status(thm)],[163456928,155618440]),
[] ).
fof(truthteller_or_liar,plain,
! [A] :
( a_truth(truthteller(A))
| a_truth(liar(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ025-1.tptp',unknown),
[] ).
cnf(155464368,plain,
( a_truth(truthteller(A))
| a_truth(liar(A)) ),
inference(rewrite,[status(thm)],[truthteller_or_liar]),
[] ).
cnf(163840512,plain,
a_truth(truthteller(c)),
inference(resolution,[status(thm)],[163772896,155464368]),
[] ).
fof(truthteller_denies_lies,plain,
! [A,B] :
( ~ ask_1_if_2(A,B)
| ~ a_truth(truthteller(A))
| a_truth(B)
| answer(no) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ025-1.tptp',unknown),
[] ).
cnf(155575648,plain,
( ~ ask_1_if_2(A,B)
| ~ a_truth(truthteller(A))
| a_truth(B)
| answer(no) ),
inference(rewrite,[status(thm)],[truthteller_denies_lies]),
[] ).
cnf(163442952,plain,
( ~ ask_1_if_2(A,B)
| ~ a_truth(truthteller(A))
| a_truth(B) ),
inference(resolution,[status(thm)],[155575648,155623352]),
[] ).
fof(truthteller_identifies_truths,plain,
! [A,B] :
( ~ ask_1_if_2(A,B)
| ~ a_truth(truthteller(A))
| ~ a_truth(B)
| answer(yes) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ025-1.tptp',unknown),
[] ).
cnf(155564768,plain,
( ~ ask_1_if_2(A,B)
| ~ a_truth(truthteller(A))
| ~ a_truth(B)
| answer(yes) ),
inference(rewrite,[status(thm)],[truthteller_identifies_truths]),
[] ).
cnf(163452072,plain,
( ~ ask_1_if_2(A,B)
| ~ a_truth(truthteller(A)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[163442952,155564768,155623352]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[163840512,163452072,155618440]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(liar_supports_lies,plain,(~ask_1_if_2(A,B)|~a_truth(liar(A))|a_truth(B)|answer(yes)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ025-1.tptp',unknown),[]).
%
% cnf(155589432,plain,(~ask_1_if_2(A,B)|~a_truth(liar(A))|a_truth(B)|answer(yes)),inference(rewrite,[status(thm)],[liar_supports_lies]),[]).
%
% fof(prove_there_is_an_answer,plain,(~answer(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ025-1.tptp',unknown),[]).
%
% cnf(155623352,plain,(~answer(A)),inference(rewrite,[status(thm)],[prove_there_is_an_answer]),[]).
%
% cnf(163447672,plain,(~ask_1_if_2(A,B)|~a_truth(liar(A))|a_truth(B)),inference(resolution,[status(thm)],[155589432,155623352]),[]).
%
% fof(liar_denies_truths,plain,(~ask_1_if_2(A,B)|~a_truth(liar(A))|~a_truth(B)|answer(no)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ025-1.tptp',unknown),[]).
%
% cnf(155583120,plain,(~ask_1_if_2(A,B)|~a_truth(liar(A))|~a_truth(B)|answer(no)),inference(rewrite,[status(thm)],[liar_denies_truths]),[]).
%
% cnf(163456928,plain,(~ask_1_if_2(A,B)|~a_truth(liar(A))),inference(forward_subsumption_resolution__resolution,[status(thm)],[163447672,155583120,155623352]),[]).
%
% fof(ask_c_if_a_and_b_equal,plain,(ask_1_if_2(c,equal_type(a,b))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ025-1.tptp',unknown),[]).
%
% cnf(155618440,plain,(ask_1_if_2(c,equal_type(a,b))),inference(rewrite,[status(thm)],[ask_c_if_a_and_b_equal]),[]).
%
% cnf(163772896,plain,(~a_truth(liar(c))),inference(resolution,[status(thm)],[163456928,155618440]),[]).
%
% fof(truthteller_or_liar,plain,(a_truth(truthteller(A))|a_truth(liar(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ025-1.tptp',unknown),[]).
%
% cnf(155464368,plain,(a_truth(truthteller(A))|a_truth(liar(A))),inference(rewrite,[status(thm)],[truthteller_or_liar]),[]).
%
% cnf(163840512,plain,(a_truth(truthteller(c))),inference(resolution,[status(thm)],[163772896,155464368]),[]).
%
% fof(truthteller_denies_lies,plain,(~ask_1_if_2(A,B)|~a_truth(truthteller(A))|a_truth(B)|answer(no)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ025-1.tptp',unknown),[]).
%
% cnf(155575648,plain,(~ask_1_if_2(A,B)|~a_truth(truthteller(A))|a_truth(B)|answer(no)),inference(rewrite,[status(thm)],[truthteller_denies_lies]),[]).
%
% cnf(163442952,plain,(~ask_1_if_2(A,B)|~a_truth(truthteller(A))|a_truth(B)),inference(resolution,[status(thm)],[155575648,155623352]),[]).
%
% fof(truthteller_identifies_truths,plain,(~ask_1_if_2(A,B)|~a_truth(truthteller(A))|~a_truth(B)|answer(yes)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ025-1.tptp',unknown),[]).
%
% cnf(155564768,plain,(~ask_1_if_2(A,B)|~a_truth(truthteller(A))|~a_truth(B)|answer(yes)),inference(rewrite,[status(thm)],[truthteller_identifies_truths]),[]).
%
% cnf(163452072,plain,(~ask_1_if_2(A,B)|~a_truth(truthteller(A))),inference(forward_subsumption_resolution__resolution,[status(thm)],[163442952,155564768,155623352]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[163840512,163452072,155618440]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------