TSTP Solution File: HWV021-2 by Faust---1.0
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%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : HWV021-2 : TPTP v3.4.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 13:18:49 EDT 2009
% Result : Unsatisfiable 8.2s
% Output : Refutation 8.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 44 ( 22 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(quest_1,plain,
p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(t_206,n1))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV021-2.tptp',unknown),
[] ).
cnf(171878776,plain,
p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(t_206,n1))),
inference(rewrite,[status(thm)],[quest_1]),
[] ).
fof(axiom_34,plain,
! [A] :
( ~ p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(A,n1)))
| p_les_equ_(fwork_dotfifo_dotrtl_dotint__level_(A),n0)
| ~ p__pred_(fwork_dotfifo_dotrtl_dotrd_(A))
| ~ p__pred_(fwork_dotfifo_dotrtl_dotwr_(A))
| p__pred_(fwork_dotfifo_dotrtl_dotreset_(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV021-2.tptp',unknown),
[] ).
fof(axiom_14,plain,
! [A] :
( ~ p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(A,n1)))
| ~ p__pred_(fwork_dotfifo_dotrtl_dotreset_(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV021-2.tptp',unknown),
[] ).
cnf(170342608,plain,
( ~ p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(A,n1)))
| ~ p__pred_(fwork_dotfifo_dotrtl_dotreset_(A)) ),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(170679096,plain,
( ~ p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(A,n1)))
| p_les_equ_(fwork_dotfifo_dotrtl_dotint__level_(A),n0)
| ~ p__pred_(fwork_dotfifo_dotrtl_dotrd_(A))
| ~ p__pred_(fwork_dotfifo_dotrtl_dotwr_(A)) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_34,170342608]),
[] ).
fof(quest_3,plain,
p__pred_(fwork_dotfifo_dotrtl_dotrd_(t_206)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV021-2.tptp',unknown),
[] ).
cnf(171892912,plain,
p__pred_(fwork_dotfifo_dotrtl_dotrd_(t_206)),
inference(rewrite,[status(thm)],[quest_3]),
[] ).
cnf(190383176,plain,
( p_les_equ_(fwork_dotfifo_dotrtl_dotint__level_(t_206),n0)
| ~ p__pred_(fwork_dotfifo_dotrtl_dotwr_(t_206)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[171878776,170679096,171892912]),
[] ).
fof(axiom_46,plain,
! [A] :
( ~ p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(A,n1)))
| p_les_equ_(fwork_dotfifo_dotrtl_dotint__level_(A),n0)
| ~ p__pred_(fwork_dotfifo_dotrtl_dotrd_(A))
| p__pred_(fwork_dotfifo_dotrtl_dotwr_(A))
| p__pred_(fwork_dotfifo_dotrtl_dotreset_(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV021-2.tptp',unknown),
[] ).
cnf(170821136,plain,
( ~ p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(A,n1)))
| p_les_equ_(fwork_dotfifo_dotrtl_dotint__level_(A),n0)
| ~ p__pred_(fwork_dotfifo_dotrtl_dotrd_(A))
| p__pred_(fwork_dotfifo_dotrtl_dotwr_(A)) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_46,170342608]),
[] ).
cnf(234428832,plain,
p_les_equ_(fwork_dotfifo_dotrtl_dotint__level_(t_206),n0),
inference(forward_subsumption_resolution__resolution,[status(thm)],[190383176,171878776,170821136,171892912]),
[] ).
fof(axiom_8,plain,
! [A] :
( p__pred_(fwork_dotfifo_dotrtl_dotempty_(A))
| ~ $equal(n0,fwork_dotfifo_dotrtl_dotint__level_(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV021-2.tptp',unknown),
[] ).
cnf(170292728,plain,
( p__pred_(fwork_dotfifo_dotrtl_dotempty_(A))
| ~ $equal(n0,fwork_dotfifo_dotrtl_dotint__level_(A)) ),
inference(rewrite,[status(thm)],[axiom_8]),
[] ).
fof(axiom_73,plain,
! [A] :
( ~ p_les_equ_(A,n0)
| $equal(n0,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV021-2.tptp',unknown),
[] ).
cnf(171120256,plain,
( ~ p_les_equ_(A,n0)
| $equal(n0,A) ),
inference(rewrite,[status(thm)],[axiom_73]),
[] ).
cnf(209109208,plain,
( p__pred_(fwork_dotfifo_dotrtl_dotempty_(A))
| ~ p_les_equ_(fwork_dotfifo_dotrtl_dotint__level_(A),n0) ),
inference(resolution,[status(thm)],[170292728,171120256]),
[] ).
fof(quest_4,plain,
~ p__pred_(fwork_dotfifo_dotrtl_dotempty_(t_206)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV021-2.tptp',unknown),
[] ).
cnf(171897344,plain,
~ p__pred_(fwork_dotfifo_dotrtl_dotempty_(t_206)),
inference(rewrite,[status(thm)],[quest_4]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[234428832,209109208,171897344]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 8 seconds
% START OF PROOF SEQUENCE
% fof(quest_1,plain,(p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(t_206,n1)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV021-2.tptp',unknown),[]).
%
% cnf(171878776,plain,(p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(t_206,n1)))),inference(rewrite,[status(thm)],[quest_1]),[]).
%
% fof(axiom_34,plain,(~p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(A,n1)))|p_les_equ_(fwork_dotfifo_dotrtl_dotint__level_(A),n0)|~p__pred_(fwork_dotfifo_dotrtl_dotrd_(A))|~p__pred_(fwork_dotfifo_dotrtl_dotwr_(A))|p__pred_(fwork_dotfifo_dotrtl_dotreset_(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV021-2.tptp',unknown),[]).
%
% fof(axiom_14,plain,(~p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(A,n1)))|~p__pred_(fwork_dotfifo_dotrtl_dotreset_(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV021-2.tptp',unknown),[]).
%
% cnf(170342608,plain,(~p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(A,n1)))|~p__pred_(fwork_dotfifo_dotrtl_dotreset_(A))),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(170679096,plain,(~p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(A,n1)))|p_les_equ_(fwork_dotfifo_dotrtl_dotint__level_(A),n0)|~p__pred_(fwork_dotfifo_dotrtl_dotrd_(A))|~p__pred_(fwork_dotfifo_dotrtl_dotwr_(A))),inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_34,170342608]),[]).
%
% fof(quest_3,plain,(p__pred_(fwork_dotfifo_dotrtl_dotrd_(t_206))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV021-2.tptp',unknown),[]).
%
% cnf(171892912,plain,(p__pred_(fwork_dotfifo_dotrtl_dotrd_(t_206))),inference(rewrite,[status(thm)],[quest_3]),[]).
%
% cnf(190383176,plain,(p_les_equ_(fwork_dotfifo_dotrtl_dotint__level_(t_206),n0)|~p__pred_(fwork_dotfifo_dotrtl_dotwr_(t_206))),inference(forward_subsumption_resolution__resolution,[status(thm)],[171878776,170679096,171892912]),[]).
%
% fof(axiom_46,plain,(~p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(A,n1)))|p_les_equ_(fwork_dotfifo_dotrtl_dotint__level_(A),n0)|~p__pred_(fwork_dotfifo_dotrtl_dotrd_(A))|p__pred_(fwork_dotfifo_dotrtl_dotwr_(A))|p__pred_(fwork_dotfifo_dotrtl_dotreset_(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV021-2.tptp',unknown),[]).
%
% cnf(170821136,plain,(~p__pred_(fwork_dotfifo_dotrtl_dotrd__error_(f_add_(A,n1)))|p_les_equ_(fwork_dotfifo_dotrtl_dotint__level_(A),n0)|~p__pred_(fwork_dotfifo_dotrtl_dotrd_(A))|p__pred_(fwork_dotfifo_dotrtl_dotwr_(A))),inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_46,170342608]),[]).
%
% cnf(234428832,plain,(p_les_equ_(fwork_dotfifo_dotrtl_dotint__level_(t_206),n0)),inference(forward_subsumption_resolution__resolution,[status(thm)],[190383176,171878776,170821136,171892912]),[]).
%
% fof(axiom_8,plain,(p__pred_(fwork_dotfifo_dotrtl_dotempty_(A))|~$equal(n0,fwork_dotfifo_dotrtl_dotint__level_(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV021-2.tptp',unknown),[]).
%
% cnf(170292728,plain,(p__pred_(fwork_dotfifo_dotrtl_dotempty_(A))|~$equal(n0,fwork_dotfifo_dotrtl_dotint__level_(A))),inference(rewrite,[status(thm)],[axiom_8]),[]).
%
% fof(axiom_73,plain,(~p_les_equ_(A,n0)|$equal(n0,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV021-2.tptp',unknown),[]).
%
% cnf(171120256,plain,(~p_les_equ_(A,n0)|$equal(n0,A)),inference(rewrite,[status(thm)],[axiom_73]),[]).
%
% cnf(209109208,plain,(p__pred_(fwork_dotfifo_dotrtl_dotempty_(A))|~p_les_equ_(fwork_dotfifo_dotrtl_dotint__level_(A),n0)),inference(resolution,[status(thm)],[170292728,171120256]),[]).
%
% fof(quest_4,plain,(~p__pred_(fwork_dotfifo_dotrtl_dotempty_(t_206))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV021-2.tptp',unknown),[]).
%
% cnf(171897344,plain,(~p__pred_(fwork_dotfifo_dotrtl_dotempty_(t_206))),inference(rewrite,[status(thm)],[quest_4]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[234428832,209109208,171897344]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------