TSTP Solution File: PUZ035-2 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : PUZ035-2 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.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 15:12:14 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 7 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 76 ( 38 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 24 ( 9 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_answer,plain,
! [A,B,C] :
( ~ response(A)
| ~ isa(asked,B)
| ~ isa(other,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-2.tptp',unknown),
[] ).
cnf(172800040,plain,
( ~ response(A)
| ~ isa(asked,B)
| ~ isa(other,C) ),
inference(rewrite,[status(thm)],[prove_answer]),
[] ).
fof(asked_person,plain,
person(asked),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-2.tptp',unknown),
[] ).
cnf(172770696,plain,
person(asked),
inference(rewrite,[status(thm)],[asked_person]),
[] ).
fof(everyone_a_knight_or_knave,plain,
! [A] :
( ~ person(A)
| isa(A,knight)
| isa(A,knave) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-2.tptp',unknown),
[] ).
cnf(172665424,plain,
( ~ person(A)
| isa(A,knight)
| isa(A,knave) ),
inference(rewrite,[status(thm)],[everyone_a_knight_or_knave]),
[] ).
fof(statements_are_true_or_false,plain,
! [A] :
( ~ tell_the_truth(A)
| ~ lies(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-2.tptp',unknown),
[] ).
cnf(172693664,plain,
( ~ tell_the_truth(A)
| ~ lies(A) ),
inference(rewrite,[status(thm)],[statements_are_true_or_false]),
[] ).
fof(knaves_make_false_statements,plain,
! [A] :
( ~ isa(A,knave)
| lies(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-2.tptp',unknown),
[] ).
cnf(172682992,plain,
( ~ isa(A,knave)
| lies(A) ),
inference(rewrite,[status(thm)],[knaves_make_false_statements]),
[] ).
cnf(180664800,plain,
( ~ tell_the_truth(A)
| ~ isa(A,knave) ),
inference(resolution,[status(thm)],[172693664,172682992]),
[] ).
fof(statements_are_true_or_false2,plain,
! [A] :
( ~ person(A)
| tell_the_truth(A)
| lies(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-2.tptp',unknown),
[] ).
cnf(172700384,plain,
( ~ person(A)
| tell_the_truth(A)
| lies(A) ),
inference(rewrite,[status(thm)],[statements_are_true_or_false2]),
[] ).
cnf(180616272,plain,
( tell_the_truth(asked)
| lies(asked) ),
inference(resolution,[status(thm)],[172700384,172770696]),
[] ).
cnf(180718664,plain,
( ~ isa(asked,knave)
| lies(asked) ),
inference(resolution,[status(thm)],[180664800,180616272]),
[] ).
cnf(180819464,plain,
( isa(asked,knight)
| lies(asked) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[172770696,172665424,180718664]),
[] ).
cnf(182859088,plain,
( ~ response(A)
| ~ isa(other,B)
| lies(asked) ),
inference(resolution,[status(thm)],[172800040,180819464]),
[] ).
fof(knights_make_true_statements,plain,
! [A] :
( ~ isa(A,knight)
| tell_the_truth(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-2.tptp',unknown),
[] ).
cnf(172677192,plain,
( ~ isa(A,knight)
| tell_the_truth(A) ),
inference(rewrite,[status(thm)],[knights_make_true_statements]),
[] ).
cnf(180659296,plain,
( ~ lies(A)
| ~ isa(A,knight) ),
inference(resolution,[status(thm)],[172693664,172677192]),
[] ).
cnf(180681680,plain,
( ~ isa(asked,knight)
| tell_the_truth(asked) ),
inference(resolution,[status(thm)],[180659296,180616272]),
[] ).
cnf(180698952,plain,
( ~ isa(asked,knight)
| ~ lies(asked) ),
inference(resolution,[status(thm)],[180681680,172693664]),
[] ).
cnf(180850328,plain,
( isa(asked,knave)
| ~ lies(asked) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[172770696,172665424,180698952]),
[] ).
cnf(182906784,plain,
( ~ response(A)
| ~ isa(other,B) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[182859088,172800040,180850328]),
[] ).
fof(other_person,plain,
person(other),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-2.tptp',unknown),
[] ).
cnf(172774760,plain,
person(other),
inference(rewrite,[status(thm)],[other_person]),
[] ).
cnf(180638744,plain,
( tell_the_truth(other)
| lies(other) ),
inference(resolution,[status(thm)],[172700384,172774760]),
[] ).
cnf(180728976,plain,
( ~ isa(other,knave)
| lies(other) ),
inference(resolution,[status(thm)],[180664800,180638744]),
[] ).
cnf(180824968,plain,
( isa(other,knight)
| lies(other) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[172774760,172665424,180728976]),
[] ).
cnf(183020304,plain,
( ~ response(A)
| lies(other) ),
inference(resolution,[status(thm)],[182906784,180824968]),
[] ).
cnf(180692032,plain,
( ~ isa(other,knight)
| tell_the_truth(other) ),
inference(resolution,[status(thm)],[180659296,180638744]),
[] ).
cnf(180708448,plain,
( ~ isa(other,knight)
| ~ lies(other) ),
inference(resolution,[status(thm)],[180692032,172693664]),
[] ).
cnf(180855800,plain,
( isa(other,knave)
| ~ lies(other) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[172774760,172665424,180708448]),
[] ).
cnf(183050640,plain,
~ response(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[183020304,182906784,180855800]),
[] ).
fof(two_answers,plain,
( response(yes)
| response(no) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-2.tptp',unknown),
[] ).
cnf(172765872,plain,
( response(yes)
| response(no) ),
inference(rewrite,[status(thm)],[two_answers]),
[] ).
cnf(183127968,plain,
response(no),
inference(resolution,[status(thm)],[183050640,172765872]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[183127968,183050640]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_answer,plain,(~response(A)|~isa(asked,B)|~isa(other,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-2.tptp',unknown),[]).
%
% cnf(172800040,plain,(~response(A)|~isa(asked,B)|~isa(other,C)),inference(rewrite,[status(thm)],[prove_answer]),[]).
%
% fof(asked_person,plain,(person(asked)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-2.tptp',unknown),[]).
%
% cnf(172770696,plain,(person(asked)),inference(rewrite,[status(thm)],[asked_person]),[]).
%
% fof(everyone_a_knight_or_knave,plain,(~person(A)|isa(A,knight)|isa(A,knave)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-2.tptp',unknown),[]).
%
% cnf(172665424,plain,(~person(A)|isa(A,knight)|isa(A,knave)),inference(rewrite,[status(thm)],[everyone_a_knight_or_knave]),[]).
%
% fof(statements_are_true_or_false,plain,(~tell_the_truth(A)|~lies(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-2.tptp',unknown),[]).
%
% cnf(172693664,plain,(~tell_the_truth(A)|~lies(A)),inference(rewrite,[status(thm)],[statements_are_true_or_false]),[]).
%
% fof(knaves_make_false_statements,plain,(~isa(A,knave)|lies(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-2.tptp',unknown),[]).
%
% cnf(172682992,plain,(~isa(A,knave)|lies(A)),inference(rewrite,[status(thm)],[knaves_make_false_statements]),[]).
%
% cnf(180664800,plain,(~tell_the_truth(A)|~isa(A,knave)),inference(resolution,[status(thm)],[172693664,172682992]),[]).
%
% fof(statements_are_true_or_false2,plain,(~person(A)|tell_the_truth(A)|lies(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-2.tptp',unknown),[]).
%
% cnf(172700384,plain,(~person(A)|tell_the_truth(A)|lies(A)),inference(rewrite,[status(thm)],[statements_are_true_or_false2]),[]).
%
% cnf(180616272,plain,(tell_the_truth(asked)|lies(asked)),inference(resolution,[status(thm)],[172700384,172770696]),[]).
%
% cnf(180718664,plain,(~isa(asked,knave)|lies(asked)),inference(resolution,[status(thm)],[180664800,180616272]),[]).
%
% cnf(180819464,plain,(isa(asked,knight)|lies(asked)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172770696,172665424,180718664]),[]).
%
% cnf(182859088,plain,(~response(A)|~isa(other,B)|lies(asked)),inference(resolution,[status(thm)],[172800040,180819464]),[]).
%
% fof(knights_make_true_statements,plain,(~isa(A,knight)|tell_the_truth(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-2.tptp',unknown),[]).
%
% cnf(172677192,plain,(~isa(A,knight)|tell_the_truth(A)),inference(rewrite,[status(thm)],[knights_make_true_statements]),[]).
%
% cnf(180659296,plain,(~lies(A)|~isa(A,knight)),inference(resolution,[status(thm)],[172693664,172677192]),[]).
%
% cnf(180681680,plain,(~isa(asked,knight)|tell_the_truth(asked)),inference(resolution,[status(thm)],[180659296,180616272]),[]).
%
% cnf(180698952,plain,(~isa(asked,knight)|~lies(asked)),inference(resolution,[status(thm)],[180681680,172693664]),[]).
%
% cnf(180850328,plain,(isa(asked,knave)|~lies(asked)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172770696,172665424,180698952]),[]).
%
% cnf(182906784,plain,(~response(A)|~isa(other,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[182859088,172800040,180850328]),[]).
%
% fof(other_person,plain,(person(other)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-2.tptp',unknown),[]).
%
% cnf(172774760,plain,(person(other)),inference(rewrite,[status(thm)],[other_person]),[]).
%
% cnf(180638744,plain,(tell_the_truth(other)|lies(other)),inference(resolution,[status(thm)],[172700384,172774760]),[]).
%
% cnf(180728976,plain,(~isa(other,knave)|lies(other)),inference(resolution,[status(thm)],[180664800,180638744]),[]).
%
% cnf(180824968,plain,(isa(other,knight)|lies(other)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172774760,172665424,180728976]),[]).
%
% cnf(183020304,plain,(~response(A)|lies(other)),inference(resolution,[status(thm)],[182906784,180824968]),[]).
%
% cnf(180692032,plain,(~isa(other,knight)|tell_the_truth(other)),inference(resolution,[status(thm)],[180659296,180638744]),[]).
%
% cnf(180708448,plain,(~isa(other,knight)|~lies(other)),inference(resolution,[status(thm)],[180692032,172693664]),[]).
%
% cnf(180855800,plain,(isa(other,knave)|~lies(other)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172774760,172665424,180708448]),[]).
%
% cnf(183050640,plain,(~response(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[183020304,182906784,180855800]),[]).
%
% fof(two_answers,plain,(response(yes)|response(no)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ035-2.tptp',unknown),[]).
%
% cnf(172765872,plain,(response(yes)|response(no)),inference(rewrite,[status(thm)],[two_answers]),[]).
%
% cnf(183127968,plain,(response(no)),inference(resolution,[status(thm)],[183050640,172765872]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[183127968,183050640]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------