TSTP Solution File: PUZ014-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : PUZ014-1 : 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 15:10:42 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 44 ( 14 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 106 ( 52 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 14 ( 13 usr; 14 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(c2,plain,
( ~ some_scotch_dance
| ~ some_irish_fight
| some_welsh_eat ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),
[] ).
cnf(157601464,plain,
( ~ some_scotch_dance
| ~ some_irish_fight
| some_welsh_eat ),
inference(rewrite,[status(thm)],[c2]),
[] ).
fof(prove_all_monitors_are_awake,plain,
some_monitors_are_not_awake,
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),
[] ).
cnf(157750176,plain,
some_monitors_are_not_awake,
inference(rewrite,[status(thm)],[prove_all_monitors_are_awake]),
[] ).
fof(c10,plain,
( ~ some_english_sing
| ~ some_monitors_are_not_awake
| some_irish_fight_not ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),
[] ).
cnf(157587024,plain,
( ~ some_english_sing
| ~ some_monitors_are_not_awake
| some_irish_fight_not ),
inference(rewrite,[status(thm)],[c10]),
[] ).
fof(c18,plain,
some_english_sing,
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),
[] ).
cnf(157586232,plain,
some_english_sing,
inference(rewrite,[status(thm)],[c18]),
[] ).
cnf(165616032,plain,
some_irish_fight_not,
inference(forward_subsumption_resolution__resolution,[status(thm)],[157750176,157587024,157586232]),
[] ).
fof(c6,plain,
( ~ some_scotch_dance_not
| ~ some_irish_fight_not
| some_germans_play ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),
[] ).
cnf(157642192,plain,
( ~ some_scotch_dance_not
| ~ some_irish_fight_not
| some_germans_play ),
inference(rewrite,[status(thm)],[c6]),
[] ).
fof(c19,plain,
some_scotch_dance_not,
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),
[] ).
cnf(157746144,plain,
some_scotch_dance_not,
inference(rewrite,[status(thm)],[c19]),
[] ).
cnf(165626928,plain,
some_germans_play,
inference(forward_subsumption_resolution__resolution,[status(thm)],[165616032,157642192,157746144]),
[] ).
fof(c9,plain,
( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not
| ~ some_germans_play ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),
[] ).
cnf(157670120,plain,
( ~ some_english_sing
| some_english_sing_not
| ~ some_scotch_dance_not
| ~ some_germans_play ),
inference(rewrite,[status(thm)],[c9]),
[] ).
cnf(165621896,plain,
( some_english_sing_not
| ~ some_germans_play ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[157746144,157670120,157586232]),
[] ).
fof(c1,plain,
( ~ some_english_sing
| ~ some_english_sing_not
| some_monitors_are_awake ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),
[] ).
cnf(157592768,plain,
( ~ some_english_sing
| ~ some_english_sing_not
| some_monitors_are_awake ),
inference(rewrite,[status(thm)],[c1]),
[] ).
cnf(165610096,plain,
( ~ some_english_sing_not
| some_monitors_are_awake ),
inference(resolution,[status(thm)],[157592768,157586232]),
[] ).
cnf(165673496,plain,
some_monitors_are_awake,
inference(forward_subsumption_resolution__resolution,[status(thm)],[165626928,165621896,165610096]),
[] ).
fof(c4,plain,
( ~ some_monitors_are_awake
| ~ some_monitors_are_not_awake
| some_irish_fight ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),
[] ).
cnf(157622848,plain,
( ~ some_monitors_are_awake
| ~ some_monitors_are_not_awake
| some_irish_fight ),
inference(rewrite,[status(thm)],[c4]),
[] ).
cnf(165636600,plain,
( ~ some_monitors_are_awake
| some_irish_fight ),
inference(resolution,[status(thm)],[157622848,157750176]),
[] ).
cnf(165679232,plain,
some_irish_fight,
inference(resolution,[status(thm)],[165673496,165636600]),
[] ).
cnf(165691536,plain,
( ~ some_scotch_dance
| some_welsh_eat ),
inference(resolution,[status(thm)],[157601464,165679232]),
[] ).
fof(c7,plain,
( ~ some_monitors_are_awake
| ~ some_welsh_eat
| ~ some_scotch_dance ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),
[] ).
cnf(157653168,plain,
( ~ some_monitors_are_awake
| ~ some_welsh_eat
| ~ some_scotch_dance ),
inference(rewrite,[status(thm)],[c7]),
[] ).
cnf(165733088,plain,
~ some_scotch_dance,
inference(forward_subsumption_resolution__resolution,[status(thm)],[165691536,157653168,165673496]),
[] ).
fof(c11,plain,
( ~ some_monitors_are_awake
| ~ some_of_the_eleven_are_not_oiling
| some_scotch_dance ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),
[] ).
cnf(157687904,plain,
( ~ some_monitors_are_awake
| ~ some_of_the_eleven_are_not_oiling
| some_scotch_dance ),
inference(rewrite,[status(thm)],[c11]),
[] ).
cnf(165704440,plain,
( ~ some_of_the_eleven_are_not_oiling
| some_scotch_dance ),
inference(resolution,[status(thm)],[157687904,165673496]),
[] ).
fof(c3,plain,
( ~ some_germans_play
| some_germans_play_not
| some_of_the_eleven_are_not_oiling ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),
[] ).
cnf(157610160,plain,
( ~ some_germans_play
| some_germans_play_not
| some_of_the_eleven_are_not_oiling ),
inference(rewrite,[status(thm)],[c3]),
[] ).
cnf(165643952,plain,
( some_germans_play_not
| some_of_the_eleven_are_not_oiling ),
inference(resolution,[status(thm)],[157610160,165626928]),
[] ).
cnf(165714192,plain,
( some_scotch_dance
| some_germans_play_not ),
inference(resolution,[status(thm)],[165704440,165643952]),
[] ).
cnf(165748224,plain,
some_germans_play_not,
inference(resolution,[status(thm)],[165733088,165714192]),
[] ).
fof(c5,plain,
( ~ some_germans_play
| some_scotch_dance
| some_welsh_eat_not ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),
[] ).
cnf(157629616,plain,
( ~ some_germans_play
| some_scotch_dance
| some_welsh_eat_not ),
inference(rewrite,[status(thm)],[c5]),
[] ).
cnf(165649800,plain,
( some_scotch_dance
| some_welsh_eat_not ),
inference(resolution,[status(thm)],[157629616,165626928]),
[] ).
cnf(165743464,plain,
some_welsh_eat_not,
inference(resolution,[status(thm)],[165733088,165649800]),
[] ).
fof(c8,plain,
( ~ some_germans_play_not
| ~ some_welsh_eat_not
| ~ some_irish_fight ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),
[] ).
cnf(157661600,plain,
( ~ some_germans_play_not
| ~ some_welsh_eat_not
| ~ some_irish_fight ),
inference(rewrite,[status(thm)],[c8]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[165748224,165743464,157661600,165679232]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(c2,plain,(~some_scotch_dance|~some_irish_fight|some_welsh_eat),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),[]).
%
% cnf(157601464,plain,(~some_scotch_dance|~some_irish_fight|some_welsh_eat),inference(rewrite,[status(thm)],[c2]),[]).
%
% fof(prove_all_monitors_are_awake,plain,(some_monitors_are_not_awake),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),[]).
%
% cnf(157750176,plain,(some_monitors_are_not_awake),inference(rewrite,[status(thm)],[prove_all_monitors_are_awake]),[]).
%
% fof(c10,plain,(~some_english_sing|~some_monitors_are_not_awake|some_irish_fight_not),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),[]).
%
% cnf(157587024,plain,(~some_english_sing|~some_monitors_are_not_awake|some_irish_fight_not),inference(rewrite,[status(thm)],[c10]),[]).
%
% fof(c18,plain,(some_english_sing),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),[]).
%
% cnf(157586232,plain,(some_english_sing),inference(rewrite,[status(thm)],[c18]),[]).
%
% cnf(165616032,plain,(some_irish_fight_not),inference(forward_subsumption_resolution__resolution,[status(thm)],[157750176,157587024,157586232]),[]).
%
% fof(c6,plain,(~some_scotch_dance_not|~some_irish_fight_not|some_germans_play),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),[]).
%
% cnf(157642192,plain,(~some_scotch_dance_not|~some_irish_fight_not|some_germans_play),inference(rewrite,[status(thm)],[c6]),[]).
%
% fof(c19,plain,(some_scotch_dance_not),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),[]).
%
% cnf(157746144,plain,(some_scotch_dance_not),inference(rewrite,[status(thm)],[c19]),[]).
%
% cnf(165626928,plain,(some_germans_play),inference(forward_subsumption_resolution__resolution,[status(thm)],[165616032,157642192,157746144]),[]).
%
% fof(c9,plain,(~some_english_sing|some_english_sing_not|~some_scotch_dance_not|~some_germans_play),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),[]).
%
% cnf(157670120,plain,(~some_english_sing|some_english_sing_not|~some_scotch_dance_not|~some_germans_play),inference(rewrite,[status(thm)],[c9]),[]).
%
% cnf(165621896,plain,(some_english_sing_not|~some_germans_play),inference(forward_subsumption_resolution__resolution,[status(thm)],[157746144,157670120,157586232]),[]).
%
% fof(c1,plain,(~some_english_sing|~some_english_sing_not|some_monitors_are_awake),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),[]).
%
% cnf(157592768,plain,(~some_english_sing|~some_english_sing_not|some_monitors_are_awake),inference(rewrite,[status(thm)],[c1]),[]).
%
% cnf(165610096,plain,(~some_english_sing_not|some_monitors_are_awake),inference(resolution,[status(thm)],[157592768,157586232]),[]).
%
% cnf(165673496,plain,(some_monitors_are_awake),inference(forward_subsumption_resolution__resolution,[status(thm)],[165626928,165621896,165610096]),[]).
%
% fof(c4,plain,(~some_monitors_are_awake|~some_monitors_are_not_awake|some_irish_fight),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),[]).
%
% cnf(157622848,plain,(~some_monitors_are_awake|~some_monitors_are_not_awake|some_irish_fight),inference(rewrite,[status(thm)],[c4]),[]).
%
% cnf(165636600,plain,(~some_monitors_are_awake|some_irish_fight),inference(resolution,[status(thm)],[157622848,157750176]),[]).
%
% cnf(165679232,plain,(some_irish_fight),inference(resolution,[status(thm)],[165673496,165636600]),[]).
%
% cnf(165691536,plain,(~some_scotch_dance|some_welsh_eat),inference(resolution,[status(thm)],[157601464,165679232]),[]).
%
% fof(c7,plain,(~some_monitors_are_awake|~some_welsh_eat|~some_scotch_dance),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),[]).
%
% cnf(157653168,plain,(~some_monitors_are_awake|~some_welsh_eat|~some_scotch_dance),inference(rewrite,[status(thm)],[c7]),[]).
%
% cnf(165733088,plain,(~some_scotch_dance),inference(forward_subsumption_resolution__resolution,[status(thm)],[165691536,157653168,165673496]),[]).
%
% fof(c11,plain,(~some_monitors_are_awake|~some_of_the_eleven_are_not_oiling|some_scotch_dance),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),[]).
%
% cnf(157687904,plain,(~some_monitors_are_awake|~some_of_the_eleven_are_not_oiling|some_scotch_dance),inference(rewrite,[status(thm)],[c11]),[]).
%
% cnf(165704440,plain,(~some_of_the_eleven_are_not_oiling|some_scotch_dance),inference(resolution,[status(thm)],[157687904,165673496]),[]).
%
% fof(c3,plain,(~some_germans_play|some_germans_play_not|some_of_the_eleven_are_not_oiling),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),[]).
%
% cnf(157610160,plain,(~some_germans_play|some_germans_play_not|some_of_the_eleven_are_not_oiling),inference(rewrite,[status(thm)],[c3]),[]).
%
% cnf(165643952,plain,(some_germans_play_not|some_of_the_eleven_are_not_oiling),inference(resolution,[status(thm)],[157610160,165626928]),[]).
%
% cnf(165714192,plain,(some_scotch_dance|some_germans_play_not),inference(resolution,[status(thm)],[165704440,165643952]),[]).
%
% cnf(165748224,plain,(some_germans_play_not),inference(resolution,[status(thm)],[165733088,165714192]),[]).
%
% fof(c5,plain,(~some_germans_play|some_scotch_dance|some_welsh_eat_not),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),[]).
%
% cnf(157629616,plain,(~some_germans_play|some_scotch_dance|some_welsh_eat_not),inference(rewrite,[status(thm)],[c5]),[]).
%
% cnf(165649800,plain,(some_scotch_dance|some_welsh_eat_not),inference(resolution,[status(thm)],[157629616,165626928]),[]).
%
% cnf(165743464,plain,(some_welsh_eat_not),inference(resolution,[status(thm)],[165733088,165649800]),[]).
%
% fof(c8,plain,(~some_germans_play_not|~some_welsh_eat_not|~some_irish_fight),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ014-1.tptp',unknown),[]).
%
% cnf(157661600,plain,(~some_germans_play_not|~some_welsh_eat_not|~some_irish_fight),inference(rewrite,[status(thm)],[c8]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[165748224,165743464,157661600,165679232]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------