TSTP Solution File: HWV030-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : HWV030-1 : TPTP v3.4.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.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 13:19:35 EDT 2009
% Result : Unsatisfiable 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 7 unt; 0 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(quest_3,plain,
gt(fifo_length,n0),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV030-1.tptp',unknown),
[] ).
cnf(166308128,plain,
gt(fifo_length,n0),
inference(rewrite,[status(thm)],[quest_3]),
[] ).
fof(quest_1,plain,
p_reset(t_139),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV030-1.tptp',unknown),
[] ).
cnf(166295408,plain,
p_reset(t_139),
inference(rewrite,[status(thm)],[quest_1]),
[] ).
fof(axiom_27,plain,
! [A] :
( ~ p_reset(A)
| $equal(wr_level(plus(A,n1)),n0) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV030-1.tptp',unknown),
[] ).
cnf(165738720,plain,
( ~ p_reset(A)
| $equal(wr_level(plus(A,n1)),n0) ),
inference(rewrite,[status(thm)],[axiom_27]),
[] ).
fof(quest_2,plain,
~ gt(fifo_length,wr_level(plus(t_139,n1))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV030-1.tptp',unknown),
[] ).
cnf(166304016,plain,
~ gt(fifo_length,wr_level(plus(t_139,n1))),
inference(rewrite,[status(thm)],[quest_2]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[166308128,166295408,165738720,166304016,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(quest_3,plain,(gt(fifo_length,n0)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV030-1.tptp',unknown),[]).
%
% cnf(166308128,plain,(gt(fifo_length,n0)),inference(rewrite,[status(thm)],[quest_3]),[]).
%
% fof(quest_1,plain,(p_reset(t_139)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV030-1.tptp',unknown),[]).
%
% cnf(166295408,plain,(p_reset(t_139)),inference(rewrite,[status(thm)],[quest_1]),[]).
%
% fof(axiom_27,plain,(~p_reset(A)|$equal(wr_level(plus(A,n1)),n0)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV030-1.tptp',unknown),[]).
%
% cnf(165738720,plain,(~p_reset(A)|$equal(wr_level(plus(A,n1)),n0)),inference(rewrite,[status(thm)],[axiom_27]),[]).
%
% fof(quest_2,plain,(~gt(fifo_length,wr_level(plus(t_139,n1)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/HWV/HWV030-1.tptp',unknown),[]).
%
% cnf(166304016,plain,(~gt(fifo_length,wr_level(plus(t_139,n1)))),inference(rewrite,[status(thm)],[quest_2]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[166308128,166295408,165738720,166304016,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------