%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : PUZ005+1 : TPTP v3.4.2. Released v2.2.0.
% 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 15:10:02 EDT 2009
% Result : Theorem 9.9s
% Output : Refutation 9.9s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of formulae : 38 ( 12 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 80 ( 42 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 30 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(thursday_is_a_day,plain,
! [A] :
( ~ thursday(A)
| day(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),
[] ).
cnf(169806160,plain,
( ~ thursday(A)
| day(A) ),
inference(rewrite,[status(thm)],[thursday_is_a_day]),
[] ).
fof(thursday,plain,
thursday(a_thursday),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),
[] ).
cnf(169753648,plain,
thursday(a_thursday),
inference(rewrite,[status(thm)],[thursday]),
[] ).
cnf(178140968,plain,
day(a_thursday),
inference(resolution,[status(thm)],[169806160,169753648]),
[] ).
fof(unicorn_does_not_lie_wednesday,plain,
! [A] :
( ~ wednesday(A)
| ~ unicorn_lies(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),
[] ).
cnf(169950224,plain,
( ~ wednesday(A)
| ~ unicorn_lies(A) ),
inference(rewrite,[status(thm)],[unicorn_does_not_lie_wednesday]),
[] ).
fof(thursday_follows_wednesday,plain,
! [A] :
( ~ thursday(A)
| wednesday(yesterday(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),
[] ).
cnf(169729600,plain,
( ~ thursday(A)
| wednesday(yesterday(A)) ),
inference(rewrite,[status(thm)],[thursday_follows_wednesday]),
[] ).
cnf(178165832,plain,
wednesday(yesterday(a_thursday)),
inference(resolution,[status(thm)],[169729600,169753648]),
[] ).
cnf(179731888,plain,
~ unicorn_lies(yesterday(a_thursday)),
inference(resolution,[status(thm)],[169950224,178165832]),
[] ).
fof(unicorn_lies_on_both,plain,
! [A,B] :
( ~ day(A)
| ~ day(B)
| ~ unicorn_lies(A)
| lies_on_one_of(a_unicorn,A,B)
| unicorn_lies(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),
[] ).
fof(unicorn_lies_on_a_day,plain,
! [A] :
( ~ unicorn_lies(A)
| day(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),
[] ).
cnf(169993136,plain,
( ~ unicorn_lies(A)
| day(A) ),
inference(rewrite,[status(thm)],[unicorn_lies_on_a_day]),
[] ).
cnf(170075240,plain,
( ~ day(B)
| ~ unicorn_lies(A)
| lies_on_one_of(a_unicorn,A,B)
| unicorn_lies(B) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[unicorn_lies_on_both,169993136]),
[] ).
fof(wednesday_is_a_day,plain,
! [A] :
( ~ wednesday(A)
| day(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),
[] ).
cnf(169730304,plain,
( ~ wednesday(A)
| day(A) ),
inference(rewrite,[status(thm)],[wednesday_is_a_day]),
[] ).
cnf(179699944,plain,
day(yesterday(a_thursday)),
inference(resolution,[status(thm)],[169730304,178165832]),
[] ).
cnf(213966760,plain,
( ~ unicorn_lies(A)
| lies_on_one_of(a_unicorn,A,yesterday(a_thursday)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[179731888,170075240,179699944]),
[] ).
fof(unicorn_lies_thursday,plain,
! [A] :
( ~ thursday(A)
| unicorn_lies(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),
[] ).
cnf(169955392,plain,
( ~ thursday(A)
| unicorn_lies(A) ),
inference(rewrite,[status(thm)],[unicorn_lies_thursday]),
[] ).
cnf(178149592,plain,
unicorn_lies(a_thursday),
inference(resolution,[status(thm)],[169955392,169753648]),
[] ).
cnf(329568728,plain,
lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday)),
inference(resolution,[status(thm)],[213966760,178149592]),
[] ).
fof(prove_there_are_close_lying_days,plain,
! [A] :
( ~ day(A)
| ~ lies_on_one_of(a_lion,A,yesterday(A))
| ~ lies_on_one_of(a_unicorn,A,yesterday(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),
[] ).
cnf(170105296,plain,
( ~ day(A)
| ~ lies_on_one_of(a_lion,A,yesterday(A))
| ~ lies_on_one_of(a_unicorn,A,yesterday(A)) ),
inference(rewrite,[status(thm)],[prove_there_are_close_lying_days]),
[] ).
fof(lion_does_not_lie_thursday,plain,
! [A] :
( ~ thursday(A)
| ~ lion_lies(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),
[] ).
cnf(169906184,plain,
( ~ thursday(A)
| ~ lion_lies(A) ),
inference(rewrite,[status(thm)],[lion_does_not_lie_thursday]),
[] ).
cnf(178177776,plain,
~ lion_lies(a_thursday),
inference(resolution,[status(thm)],[169906184,169753648]),
[] ).
fof(lion_lies_on_neither,plain,
! [A,B] :
( ~ day(A)
| ~ day(B)
| lion_lies(A)
| lies_on_one_of(a_lion,A,B)
| ~ lion_lies(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),
[] ).
fof(lion_lies_on_a_day,plain,
! [A] :
( ~ lion_lies(A)
| day(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),
[] ).
cnf(169986120,plain,
( ~ lion_lies(A)
| day(A) ),
inference(rewrite,[status(thm)],[lion_lies_on_a_day]),
[] ).
cnf(170025456,plain,
( ~ day(A)
| lion_lies(A)
| lies_on_one_of(a_lion,A,B)
| ~ lion_lies(B) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[lion_lies_on_neither,169986120]),
[] ).
cnf(194604656,plain,
( lies_on_one_of(a_lion,a_thursday,A)
| ~ lion_lies(A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[178177776,170025456,178140968]),
[] ).
fof(lion_lies_wednesday,plain,
! [A] :
( ~ wednesday(A)
| lion_lies(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),
[] ).
cnf(169900936,plain,
( ~ wednesday(A)
| lion_lies(A) ),
inference(rewrite,[status(thm)],[lion_lies_wednesday]),
[] ).
cnf(168728576,plain,
lion_lies(yesterday(a_thursday)),
inference(resolution,[status(thm)],[169900936,178165832]),
[] ).
cnf(197155664,plain,
lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday)),
inference(resolution,[status(thm)],[194604656,168728576]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[178140968,329568728,170105296,197155664]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 9 seconds
% START OF PROOF SEQUENCE
% fof(thursday_is_a_day,plain,(~thursday(A)|day(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),[]).
%
% cnf(169806160,plain,(~thursday(A)|day(A)),inference(rewrite,[status(thm)],[thursday_is_a_day]),[]).
%
% fof(thursday,plain,(thursday(a_thursday)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),[]).
%
% cnf(169753648,plain,(thursday(a_thursday)),inference(rewrite,[status(thm)],[thursday]),[]).
%
% cnf(178140968,plain,(day(a_thursday)),inference(resolution,[status(thm)],[169806160,169753648]),[]).
%
% fof(unicorn_does_not_lie_wednesday,plain,(~wednesday(A)|~unicorn_lies(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),[]).
%
% cnf(169950224,plain,(~wednesday(A)|~unicorn_lies(A)),inference(rewrite,[status(thm)],[unicorn_does_not_lie_wednesday]),[]).
%
% fof(thursday_follows_wednesday,plain,(~thursday(A)|wednesday(yesterday(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),[]).
%
% cnf(169729600,plain,(~thursday(A)|wednesday(yesterday(A))),inference(rewrite,[status(thm)],[thursday_follows_wednesday]),[]).
%
% cnf(178165832,plain,(wednesday(yesterday(a_thursday))),inference(resolution,[status(thm)],[169729600,169753648]),[]).
%
% cnf(179731888,plain,(~unicorn_lies(yesterday(a_thursday))),inference(resolution,[status(thm)],[169950224,178165832]),[]).
%
% fof(unicorn_lies_on_both,plain,(~day(A)|~day(B)|~unicorn_lies(A)|lies_on_one_of(a_unicorn,A,B)|unicorn_lies(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),[]).
%
% fof(unicorn_lies_on_a_day,plain,(~unicorn_lies(A)|day(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),[]).
%
% cnf(169993136,plain,(~unicorn_lies(A)|day(A)),inference(rewrite,[status(thm)],[unicorn_lies_on_a_day]),[]).
%
% cnf(170075240,plain,(~day(B)|~unicorn_lies(A)|lies_on_one_of(a_unicorn,A,B)|unicorn_lies(B)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[unicorn_lies_on_both,169993136]),[]).
%
% fof(wednesday_is_a_day,plain,(~wednesday(A)|day(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),[]).
%
% cnf(169730304,plain,(~wednesday(A)|day(A)),inference(rewrite,[status(thm)],[wednesday_is_a_day]),[]).
%
% cnf(179699944,plain,(day(yesterday(a_thursday))),inference(resolution,[status(thm)],[169730304,178165832]),[]).
%
% cnf(213966760,plain,(~unicorn_lies(A)|lies_on_one_of(a_unicorn,A,yesterday(a_thursday))),inference(forward_subsumption_resolution__resolution,[status(thm)],[179731888,170075240,179699944]),[]).
%
% fof(unicorn_lies_thursday,plain,(~thursday(A)|unicorn_lies(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),[]).
%
% cnf(169955392,plain,(~thursday(A)|unicorn_lies(A)),inference(rewrite,[status(thm)],[unicorn_lies_thursday]),[]).
%
% cnf(178149592,plain,(unicorn_lies(a_thursday)),inference(resolution,[status(thm)],[169955392,169753648]),[]).
%
% cnf(329568728,plain,(lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday))),inference(resolution,[status(thm)],[213966760,178149592]),[]).
%
% fof(prove_there_are_close_lying_days,plain,(~day(A)|~lies_on_one_of(a_lion,A,yesterday(A))|~lies_on_one_of(a_unicorn,A,yesterday(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),[]).
%
% cnf(170105296,plain,(~day(A)|~lies_on_one_of(a_lion,A,yesterday(A))|~lies_on_one_of(a_unicorn,A,yesterday(A))),inference(rewrite,[status(thm)],[prove_there_are_close_lying_days]),[]).
%
% fof(lion_does_not_lie_thursday,plain,(~thursday(A)|~lion_lies(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),[]).
%
% cnf(169906184,plain,(~thursday(A)|~lion_lies(A)),inference(rewrite,[status(thm)],[lion_does_not_lie_thursday]),[]).
%
% cnf(178177776,plain,(~lion_lies(a_thursday)),inference(resolution,[status(thm)],[169906184,169753648]),[]).
%
% fof(lion_lies_on_neither,plain,(~day(A)|~day(B)|lion_lies(A)|lies_on_one_of(a_lion,A,B)|~lion_lies(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),[]).
%
% fof(lion_lies_on_a_day,plain,(~lion_lies(A)|day(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),[]).
%
% cnf(169986120,plain,(~lion_lies(A)|day(A)),inference(rewrite,[status(thm)],[lion_lies_on_a_day]),[]).
%
% cnf(170025456,plain,(~day(A)|lion_lies(A)|lies_on_one_of(a_lion,A,B)|~lion_lies(B)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[lion_lies_on_neither,169986120]),[]).
%
% cnf(194604656,plain,(lies_on_one_of(a_lion,a_thursday,A)|~lion_lies(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[178177776,170025456,178140968]),[]).
%
% fof(lion_lies_wednesday,plain,(~wednesday(A)|lion_lies(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ005+1.tptp',unknown),[]).
%
% cnf(169900936,plain,(~wednesday(A)|lion_lies(A)),inference(rewrite,[status(thm)],[lion_lies_wednesday]),[]).
%
% cnf(168728576,plain,(lion_lies(yesterday(a_thursday))),inference(resolution,[status(thm)],[169900936,178165832]),[]).
%
% cnf(197155664,plain,(lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday))),inference(resolution,[status(thm)],[194604656,168728576]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[178140968,329568728,170105296,197155664]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------