TSTP Solution File: HWV009-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : HWV009-1 : TPTP v3.4.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 13:17:36 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(quest_1,plain,
p_reset(t_139),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV009-1.tptp',unknown),
[] ).
cnf(160531640,plain,
p_reset(t_139),
inference(rewrite,[status(thm)],[quest_1]),
[] ).
fof(axiom_26,plain,
! [A] :
( ~ p_reset(A)
| $equal(int_level(plus(A,n1)),n0) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV009-1.tptp',unknown),
[] ).
cnf(159970224,plain,
( ~ p_reset(A)
| $equal(int_level(plus(A,n1)),n0) ),
inference(rewrite,[status(thm)],[axiom_26]),
[] ).
cnf(171180344,plain,
$equal(int_level(plus(t_139,n1)),n0),
inference(resolution,[status(thm)],[159970224,160531640]),
[] ).
fof(axiom_21,plain,
! [A] : $equal(int_level(A),level(A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV009-1.tptp',unknown),
[] ).
cnf(159930552,plain,
$equal(int_level(A),level(A)),
inference(rewrite,[status(thm)],[axiom_21]),
[] ).
cnf(173756320,plain,
$equal(level(plus(t_139,n1)),n0),
inference(paramodulation,[status(thm)],[171180344,159930552,theory(equality)]),
[] ).
fof(quest_2,plain,
( ~ $equal(level(plus(t_139,n1)),n0)
| p_wr_error(plus(t_139,n1))
| p_rd_error(plus(t_139,n1)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV009-1.tptp',unknown),
[] ).
cnf(160543664,plain,
( ~ $equal(level(plus(t_139,n1)),n0)
| p_wr_error(plus(t_139,n1))
| p_rd_error(plus(t_139,n1)) ),
inference(rewrite,[status(thm)],[quest_2]),
[] ).
fof(axiom_30,plain,
! [A] :
( ~ p_reset(A)
| ~ p_rd_error(plus(A,n1)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV009-1.tptp',unknown),
[] ).
cnf(159993128,plain,
( ~ p_reset(A)
| ~ p_rd_error(plus(A,n1)) ),
inference(rewrite,[status(thm)],[axiom_30]),
[] ).
cnf(179777848,plain,
p_wr_error(plus(t_139,n1)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[173756320,160531640,160543664,159993128]),
[] ).
fof(axiom_29,plain,
! [A] :
( ~ p_reset(A)
| ~ p_wr_error(plus(A,n1)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV009-1.tptp',unknown),
[] ).
cnf(159987512,plain,
( ~ p_reset(A)
| ~ p_wr_error(plus(A,n1)) ),
inference(rewrite,[status(thm)],[axiom_29]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[160531640,179777848,159987512]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(quest_1,plain,(p_reset(t_139)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV009-1.tptp',unknown),[]).
%
% cnf(160531640,plain,(p_reset(t_139)),inference(rewrite,[status(thm)],[quest_1]),[]).
%
% fof(axiom_26,plain,(~p_reset(A)|$equal(int_level(plus(A,n1)),n0)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV009-1.tptp',unknown),[]).
%
% cnf(159970224,plain,(~p_reset(A)|$equal(int_level(plus(A,n1)),n0)),inference(rewrite,[status(thm)],[axiom_26]),[]).
%
% cnf(171180344,plain,($equal(int_level(plus(t_139,n1)),n0)),inference(resolution,[status(thm)],[159970224,160531640]),[]).
%
% fof(axiom_21,plain,($equal(int_level(A),level(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV009-1.tptp',unknown),[]).
%
% cnf(159930552,plain,($equal(int_level(A),level(A))),inference(rewrite,[status(thm)],[axiom_21]),[]).
%
% cnf(173756320,plain,($equal(level(plus(t_139,n1)),n0)),inference(paramodulation,[status(thm)],[171180344,159930552,theory(equality)]),[]).
%
% fof(quest_2,plain,(~$equal(level(plus(t_139,n1)),n0)|p_wr_error(plus(t_139,n1))|p_rd_error(plus(t_139,n1))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV009-1.tptp',unknown),[]).
%
% cnf(160543664,plain,(~$equal(level(plus(t_139,n1)),n0)|p_wr_error(plus(t_139,n1))|p_rd_error(plus(t_139,n1))),inference(rewrite,[status(thm)],[quest_2]),[]).
%
% fof(axiom_30,plain,(~p_reset(A)|~p_rd_error(plus(A,n1))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV009-1.tptp',unknown),[]).
%
% cnf(159993128,plain,(~p_reset(A)|~p_rd_error(plus(A,n1))),inference(rewrite,[status(thm)],[axiom_30]),[]).
%
% cnf(179777848,plain,(p_wr_error(plus(t_139,n1))),inference(forward_subsumption_resolution__resolution,[status(thm)],[173756320,160531640,160543664,159993128]),[]).
%
% fof(axiom_29,plain,(~p_reset(A)|~p_wr_error(plus(A,n1))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV009-1.tptp',unknown),[]).
%
% cnf(159987512,plain,(~p_reset(A)|~p_wr_error(plus(A,n1))),inference(rewrite,[status(thm)],[axiom_29]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[160531640,179777848,159987512]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------