TSTP Solution File: HWV010-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : HWV010-1 : 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 13:17:48 EDT 2009
% Result : Unsatisfiable 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 13 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_25,plain,
! [A] :
( $equal(n0,int_level(A))
| ~ p_empty(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV010-1.tptp',unknown),
[] ).
cnf(167279416,plain,
( $equal(n0,int_level(A))
| ~ p_empty(A) ),
inference(rewrite,[status(thm)],[axiom_25]),
[] ).
fof(axiom_21,plain,
! [A] : $equal(int_level(A),level(A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV010-1.tptp',unknown),
[] ).
cnf(167246712,plain,
$equal(int_level(A),level(A)),
inference(rewrite,[status(thm)],[axiom_21]),
[] ).
cnf(179452776,plain,
( ~ p_empty(A)
| $equal(n0,level(A)) ),
inference(paramodulation,[status(thm)],[167279416,167246712,theory(equality)]),
[] ).
fof(quest_2,plain,
( p_empty(t_139)
| $equal(level(t_139),n0) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV010-1.tptp',unknown),
[] ).
cnf(167861168,plain,
( p_empty(t_139)
| $equal(level(t_139),n0) ),
inference(rewrite,[status(thm)],[quest_2]),
[] ).
cnf(180157776,plain,
$equal(n0,level(t_139)),
inference(resolution,[status(thm)],[179452776,167861168]),
[] ).
fof(axiom_15,plain,
! [A] :
( $equal(n0,A)
| gt(A,n0) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV010-1.tptp',unknown),
[] ).
cnf(167205496,plain,
( $equal(n0,A)
| gt(A,n0) ),
inference(rewrite,[status(thm)],[axiom_15]),
[] ).
cnf(180426464,plain,
( $equal(level(t_139),A)
| gt(A,n0) ),
inference(paramodulation,[status(thm)],[180157776,167205496,theory(equality)]),
[] ).
fof(axiom_17,plain,
! [A] : ~ gt(A,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV010-1.tptp',unknown),
[] ).
cnf(167220120,plain,
~ gt(A,A),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
cnf(181228896,plain,
$equal(level(t_139),n0),
inference(resolution,[status(thm)],[180426464,167220120]),
[] ).
fof(quest_1,plain,
( ~ p_empty(t_139)
| ~ $equal(level(t_139),n0) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV010-1.tptp',unknown),
[] ).
cnf(167850136,plain,
( ~ p_empty(t_139)
| ~ $equal(level(t_139),n0) ),
inference(rewrite,[status(thm)],[quest_1]),
[] ).
fof(axiom_24,plain,
! [A] :
( ~ $equal(n0,int_level(A))
| p_empty(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV010-1.tptp',unknown),
[] ).
cnf(167268936,plain,
( ~ $equal(n0,int_level(A))
| p_empty(A) ),
inference(rewrite,[status(thm)],[axiom_24]),
[] ).
cnf(179201104,plain,
( ~ $equal(n0,level(A))
| p_empty(A) ),
inference(paramodulation,[status(thm)],[167268936,167246712,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[181228896,167850136,179201104]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_25,plain,($equal(n0,int_level(A))|~p_empty(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV010-1.tptp',unknown),[]).
%
% cnf(167279416,plain,($equal(n0,int_level(A))|~p_empty(A)),inference(rewrite,[status(thm)],[axiom_25]),[]).
%
% fof(axiom_21,plain,($equal(int_level(A),level(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV010-1.tptp',unknown),[]).
%
% cnf(167246712,plain,($equal(int_level(A),level(A))),inference(rewrite,[status(thm)],[axiom_21]),[]).
%
% cnf(179452776,plain,(~p_empty(A)|$equal(n0,level(A))),inference(paramodulation,[status(thm)],[167279416,167246712,theory(equality)]),[]).
%
% fof(quest_2,plain,(p_empty(t_139)|$equal(level(t_139),n0)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV010-1.tptp',unknown),[]).
%
% cnf(167861168,plain,(p_empty(t_139)|$equal(level(t_139),n0)),inference(rewrite,[status(thm)],[quest_2]),[]).
%
% cnf(180157776,plain,($equal(n0,level(t_139))),inference(resolution,[status(thm)],[179452776,167861168]),[]).
%
% fof(axiom_15,plain,($equal(n0,A)|gt(A,n0)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV010-1.tptp',unknown),[]).
%
% cnf(167205496,plain,($equal(n0,A)|gt(A,n0)),inference(rewrite,[status(thm)],[axiom_15]),[]).
%
% cnf(180426464,plain,($equal(level(t_139),A)|gt(A,n0)),inference(paramodulation,[status(thm)],[180157776,167205496,theory(equality)]),[]).
%
% fof(axiom_17,plain,(~gt(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV010-1.tptp',unknown),[]).
%
% cnf(167220120,plain,(~gt(A,A)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% cnf(181228896,plain,($equal(level(t_139),n0)),inference(resolution,[status(thm)],[180426464,167220120]),[]).
%
% fof(quest_1,plain,(~p_empty(t_139)|~$equal(level(t_139),n0)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV010-1.tptp',unknown),[]).
%
% cnf(167850136,plain,(~p_empty(t_139)|~$equal(level(t_139),n0)),inference(rewrite,[status(thm)],[quest_1]),[]).
%
% fof(axiom_24,plain,(~$equal(n0,int_level(A))|p_empty(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV010-1.tptp',unknown),[]).
%
% cnf(167268936,plain,(~$equal(n0,int_level(A))|p_empty(A)),inference(rewrite,[status(thm)],[axiom_24]),[]).
%
% cnf(179201104,plain,(~$equal(n0,level(A))|p_empty(A)),inference(paramodulation,[status(thm)],[167268936,167246712,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[181228896,167850136,179201104]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------